The text
IETAPHYSICS
4
— *
APISTOTEAOTS TA META TA ®TSIKA
ARISTOTLE’S
METAPHYSICS
A REVISED TEXT
WITH INTRODUCTION AND COMMENTARY
BY
Wr Dr ROSS
FELLOW OF ORIEL COLLEGE
DEPUTY PROFESSOR OF MORAL PHILOSOPHY IN THE
UNIVERSITY OF OXFORD
ST. AL REO TC PAIT ECE 1 WOARY
VotumeE II
$f. ALBERT’S COLLEGE LIBRARY
OXFORD
AT THE CLARENDON PRESS
1924
Oxford University Press
London Edinburgh Glasgow Copenhagen
New York Toronto Melbourne Cape Town
Bombay Calcutta Madras Shanghai
Humphrey Milford Publisher to the University
Printed in England
CONTENTS
METAPHYSICS, BOOKS Z-N
Text he
Commentary . : : § ‘
INDEXES
Index Verborum . . F ;: :
Index to the Introduction and Commentary .
MLAS
PAGE
APIZSTOTEAOYS
TA META TA ®Y3IKA
SIGLA
E = Parisinus gr. 1853, saec. x
J = Vindobonensis phil. gr. C, saec. x ineuntis
A> = Laurentianus 87. 12, saec. xii
f= Gulielmi de Moerbeka translatio, c. 1260-1275
Al., Asc., Syr., Them. = Alexandri, Asclepii, Syriani, Themistii
commentaria
Al.!, etc. = Alexandri, etc., lemmata
Al.¢, etc. = Alexandri, etc., citationes
Raro citantur
recc. = codices recentiores
S = Laurentianus 81. 1, saec. xiii
T = Vaticanus 256, anni 1321
F> = Parisinus gr. 1876, saec. xiii
i = Bessarionis translatio, c. 1452
= editio Aldina, anni 1498
® = Aristotelis Physica
A = Metaphysicorum liber A
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éorat ovde Td Ti iv eivar. 1 Kal 6 dpiopos Bomep Kal TO Th
> a / \ x \ aoe) ss x
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X > sf ‘A as , XX ed
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TOY KaTnyopoupevav, Toodv Troy Kal doa Adda To.adra,
4 x \ » € l2 c > , 3 c ee
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b) bs at S , ca) pjtee, 3 / 4 \ \ FS
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b] / > 1 eee Lcd ~ \ x n ane | > ’
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Aeydpevov davepdv, kal TO Ti Hv elvar Spolws bmdpfer Tpe-
ss ‘ 14 “ \ tal Lcd
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\ > y A age} > « las Pe LA > ‘ a & a
kal TO Ti eri, ox AmAGs Ti hp elvar GAAA TOG 7} TOTO
Pas fe a X A ae 4 a / i. y
ti Ww eva. def yap 7) duovdpws tatra pdvar elvar dvra,
x a
mpooriOévras Kal apaipodytas, Gomep Kal TO pu) eTmLOTHTOV
emuotnrov, emel TO ye OpOdv eort pte Spwvdpws avat
ie LS -, > ? tA S 9 \ lal \ \ te:
eyTe @cavtws ad\N Gomep TO latpikoy TS mpds TO avTd
XN \ ed. > A fe taps ‘\ Sey, > / Or € tA
Mev Kal €y, ov TO adrd d€ Kal ev, od pevTor ode duwvdpas*
ovde yap iarpixkdy apa Kal épyov Kal oKedos d€yeTa ovTE
Opwvtpos ovte Kad? éy Gd\Aad ampds ev. GAAG Tabra per
OmoTépws Tis COeAer Aeyew diadeper ovdev: exelvo 5& havepov
ig ¢ / \ cS n c ss \ \ La * a
Sr. 6 mpdtws Kal amdAGs dpicpos Kal 7O Ti jv etvar Tov
> lal an
otvoiay early. ov pv GAAG Kal Tov dAdwv bpolws eort, TARY
®10 7 om. AP II kar’ d\dov EJT Asc.: om. A? Al. 18 yap
om, AP 21 76 ri eorw AP Al. 23 trois... yap EJT Al. Asc. :
rai AP 24 avd’ AP AL? Asc, : pév ddd’ EJ 32 ravra J
34 76 te AP b2 ovdé AP Al.: oddev EJT Asc.2 3 adda
mpos ev in marg. J a@\Aa tadra pev AP Ale: raira péev ody EJT
4 Siapépor A 5 mpatas EJT Al.©: mpdros AY Asc.¢ 6 ob
A? Al. 18 yap
om, AP 21 76 ri eorw AP Al. 23 trois... yap EJT Al. Asc. :
rai AP 24 avd’ AP AL? Asc, : pév ddd’ EJ 32 ravra J
34 76 te AP b2 ovdé AP Al.: oddev EJT Asc.2 3 adda
mpos ev in marg. J a@\Aa tadra pev AP Ale: raira péev ody EJT
4 Siapépor A 5 mpatas EJT Al.©: mpdros AY Asc.¢ 6 ob
pny] kal ot povovT dpoiws secl. Christ : duos AP et ut vid. Al. éori,
mAnv ov mpatas EJT Asc.: om. A? et fort. Al.
ST. ALBERTS COLLEGE LIBRARY
A, 1OZ0%10 —— 5. 1O3E* 2,
> , > Xx 9 / ny nan Si € Sy
ov TPOTwsS. ov yap dvdyKn, dy TodTo TLOGmEY, TOUTOU Opirpov
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elvat 6 dy Ady 1d aitd onyaivy, GAAA TWt Ady@* Toro
\ AN 4 Se n a BN
b€ édy Evos 7}, mi) TO ovvexe? Gorep 7 “TKids 7H boa ovv-
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d€ou@, GAN’ eay doayds Aéyerat 7d ev: Td 8 & Aeyerau
t x t
Q ‘
@omep TO ov? TO dé dv TO pev TddE TL TS 5& ToTdv TO Se
mov TL onpatver. 810 Kal AevKod avOpedrov ~orat Adyos Kal
Opioids, GAAov b& TpdmoVv Kal Tod AEvKOD Kal ovolas.
” 3. 7, Sif. X\ na ¢ x ue Xx I
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/ 4 a x € \ an 7 € a 5] x
mporGerews Ndyov, Tivos €arat Opiopos TOY odx ATAGY GAA
avvdedvacpevav? ék mpocbécews yap avayxyn Sndodv. A€yw
d& ofoy eari pis Kal KowAdrns, Kal cysdtns TO ex TOY dvoiv
Aeyopevov TH TddE ev TOdE, Kal Ov KaTa TLMBEBNKES ye
ov0 7 KowWdrys ot@ 7 oiudrns Taos Tis pods, GAAd Kal?
, ON
atv: ovd as TO evkdy KaddAla, 1) dvOpdre, bru Kaddias
AevKds © TYMBEBHKEY avOpdm@ civat, GAN os TO appv TO
t a nr o
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CASS Oe UP fa) S45 \ 2 ov ef We 4 HN
avTa tmapxew. tadra 8 éorly ey doors bmdpxet 7) 6 Adyos 7}
Tovvoua ob atl Todro Td Taos, Kal pi) EvdexeTrar dNAGoAL
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ov TO OHAV dvev Tod Cwour dare ToUT@Y TO Th iv €lvar Kal
BN
Opiopos 2) ovK oT ovdevds 7}, ei €oTiV, GAAwS, KaOdTeEp elpryKa-
mev. €or d@ dropia kal érépa wept adrav. el pev yap TO adrd
2 \ cy \ Td ce Ni SALE \ bY aN x
€OTL oLuay pls Kal KotAn pls, TO adTd €oraL TO oLOoY Kal TO
~ > Sy / x \ baw iS > ~ \ X
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dvev TOO Tpdypatos ov éotl mdO0s Kad’ adrd (ort yap TO o1-
NY , > (eye Xen By ? a > x XN \
fov KolAdrns ev pi), TO piva oiuny ecimety 7) ovK oT 7 dis
AY eA ? / ey ey Me € \ ey € Ne eh
TO avTo €orat elpnuevor, pls pis Kothyn () yap pls 7) oy) pls
pis xothy ora), 610 Gromov To tmdpyew Tots Towovrous TO Th
oo > \ wy >] c \ \ c \ lol x
yy elvarr ef O& pj, els Greipoy ciow: pil yap pit oA err
GAXo evecrat. dfdrov rolvey ori pdvyns Tis odclas early 6
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fe}
on
bg 7 om. AP doa E 10 heynrat ro EJ 13 O€ et rov
EJT Asc.°: om. AP 1§ 6 dptopos AP 17 roi dvoww J
18 r@ om. E 19 ov6’ alt.] odd’ J 26 kat AP Ale Asc. : |
kat 6 EJ 27 «i EJT Asc.: om. AP AI. adda ut vid. Al.
31 gore yap] kal gore EJT 33 pis pr... .34 KoiAn EJ Al.
et (omisso pls 1. 34) T Asc. : otpy pis e¢ AP 35 pw A piri
on AP: puns ef py J: pevds ei wy I ere om. AP 1031% 1 éora
E 19 ov6’ alt.] odd’ J 26 kat AP Ale Asc. : |
kat 6 EJ 27 «i EJT Asc.: om. AP AI. adda ut vid. Al.
31 gore yap] kal gore EJT 33 pis pr... .34 KoiAn EJ Al.
et (omisso pls 1. 34) T Asc. : otpy pis e¢ AP 35 pw A piri
on AP: puns ef py J: pevds ei wy I ere om. AP 1031% 1 éora
A> povys EJT Al. Asc.® : pdvov A yp, E yp. J 6 om. J
5
20
tb
or
30°
TON META TA ®YSIKA Z
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na a 7
pod, ove TO OAV dvev Coov (Td de ex TpoTberEws Eyw ev ots
4 ‘: \ 2S t ¢ 2 /, 2 X\ a
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> / IQOXr / y oe > fal an
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lal / >
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. a‘ /
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2 4 fal / > \ M \ \ A , ey
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eival, Bote Gd) pey ovdEVds CoTaL Sptopos OVdE TO Th HV Elvat
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€otly 6 dpiapos 6 Tod Ti Hv etvar Adyos, Kal TO Th HW elvar 7
, an ’ an SI) x. XN / \ , Ne re
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ojAov.
, / e if > > + tal > ca
ovotas oKeiw Exaotdv TE yap ovK aAAO doKel ElvaL THs
Eavtod ovoias, kal TO Ti iv elvat A€yerar elvar H ExaoTov ovata.
emt pev on T&v AEeyouévwvy KaTa ovpBeBnKos Sdgeev av
® e ct a
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> > \
Opdr@ civar (ei yap 1rd adrd, Kal 7d dvOpdT@ elvar Kal TO
AEvK> GvOpST Td gitd: TO abrd yap avOpwros Kal dev-
lo \
Kos dvOpwros, os pacity, dote Kal TO AevKe avOpdrw Kab
TO GvOpdér@: i ovK dvayKn Ooa KaTa ovpB_EBnKos elvat
pdmo: 7) ok avayKn pB€Bn
> / > XX / 3 >
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+ U2 ~ , x F XX + 7
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TavTa Ta KaTa TvUBEBNKOs, olov TO AEvK® elvar Kat TO jov-
ou doce 5& ob) emt O&@ Tov Kal’ atrd deyouévwr
ap dvaykn tavro elvat, otov ef tives eloly ovolar ov erepat
X\ r aes > vA X\ /, ed , ¢ \ \
ua elolv ovotar pnde picers erepar mpdrepat, olas daci ras
> / > , , ‘ x ad ’ A + = A 4
id€as civat twes; el yap €otar Erepov adTo Td ayabdv Kai
43 mood codd. T Asc.: mocod Al.: adptiov ci. Bonitz, modAod
Goebel 4 70 Opdv AP Asc.e: 6 rod Ondeos EJT héyouev ois
Ab 7 NapBaver fecit E 12 6 pr. om. EJ Al Asc.
13 povov JAYT, ex pévey fecitE 17 reom.E 21 cat ro APAL:
om. EJT Asc. 7o AP Al.: om. EJ Asc. 22 TO avro sup.
lin. J 23 éore EJT Al. Asc.: etvar AP 70 JA», ex ro fecit E
24 10 ex To fecit E: ro J 25 ov yap om. A>? 26 7 AP
d@yvom. AP -yevéoOar AP 27 ra APAL.: om. EJP Asc. povarko
EJA®r Al. Asc.¢: eivat add. E*J sup. lin: eiva os add. E 29 ap’
INS Al. Asc. :-det EJT Asc.) 30 mpodrepat olas EJT Al : rpdrepov
otoy A
6
5. 103173 — 6. 1031 26
A>? 26 7 AP
d@yvom. AP -yevéoOar AP 27 ra APAL.: om. EJP Asc. povarko
EJA®r Al. Asc.¢: eivat add. E*J sup. lin: eiva os add. E 29 ap’
INS Al. Asc. :-det EJT Asc.) 30 mpodrepat olas EJT Al : rpdrepov
otoy A
6
5. 103173 — 6. 1031 26
a n > ~ ze}
TO aya0e ecivat, Kal (Gov Kal 7d (8m, Kal TO dvTL Kal TO
a »
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b) of 4)
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7, rd If a ° lol DVN € / x > p) la
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érav TO Th Hy exeivm elvat yvOpev, Kal em ayaod Kal Tov
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232 roJA, ex rafecitE xaialt. om. J TO dvTt Kal TO oy] dv
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3 ovoia AP AI. Asc.¢: ovoias EJT 6 re om. AP Ale
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yopev AP AL: om. EJT 8 roT Al. et fecit E: 7a JA Q ro
...70 JAI. et fecit BE: 76 ...7@ A> Asc. éorat ci. Bonitz
12 kat pr. AP Al.° Asc.e: xal rd EJ 13 «at Al! Joachim: om.
codd.T xaé’ atra kai mpora AP Ale: mpara kai kaG? atta EJT Asc.
14 dy APAL.: éay EJ Asc.) imdpxovut vid. AP 7 eldn EJT Asc:
ein 7) AP 15 7 om. AP 17 dvaykaiov EJ Asc.®: dvdyxn
Abr 20 roird AP Al.¢ Asc. et fecit E: rovrov JT 21 kat
APAL: om. EJT 22 1 EJ Asc. et ut vid. Al.: om. A>
23 EJT Asc.¢: kai AP 25 ovpBeBnke EJ Al. Asc.: ovpBaiver
AP 7 eldn EJT Asc:
ein 7) AP 15 7 om. AP 17 dvaykaiov EJ Asc.®: dvdyxn
Abr 20 roird AP Al.¢ Asc. et fecit E: rovrov JT 21 kat
APAL: om. EJT 22 1 EJ Asc. et ut vid. Al.: om. A>
23 EJT Asc.¢: kai AP 25 ovpBeBnke EJ Al. Asc.: ovpBaiver
_Ab Nevkov om, AP
1031»
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TON META TA ®YSIKA Z
a x S > 6 , \ ial Xr Lad ° 6 , ry ’ T > , lal
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30 ddA, ofov TO Th qv civar inmw ti jv elvan [ine] Erepov.
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early 7) ev Exdotw TAn—Kaddrov de kal e€ ob pois Kal Kad
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postea additum ti...inm@ om. J immo codd. T Al: secl.
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xa@’ secl, Cannan
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om. AP
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paros. ep uev ody TovTwy torepov emiocKemréov, amd TéxvNs
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kal THs oiklas, A€yw dé odolav dvev tAns TO Ti HY etvar.
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amd Tod Tehevtalov Ths vonoews Toinots. Spuoiws b& Kal Tov
drwy toy peragdy Exacrov ylyverar. A€yw 8 ofoy el tyia-
5 an / c Lge - » > ‘ Nee Lal /
vel, deo Gv opadrvvOjva. ti ody earl TO OuadvvOjvat; Todi,
=
on
497 i) EJ Asc.c: om. APT: ai Joachim 28 ao alt, om. EJ
Asc.¢ 30 awd APAI.;: trod EJ Asc. = 2 exdorov EJT Asc.°:
éxdor@ AP 3-4 ovola 7 ovoia 7 Al.: ovcia 7 rH ovaia A” (sed rit
expunctum) EJT: 77 otcia 7 yp. E 4 drovoia Al.: amovcia
dnhovrat EJT Asc. 5-6 kal ev 77 emortnay ET 6 d¢ AP Asc, :
6) EJT Al. 7 écta om. AP 9 tovro.... dtvarat EJT Ase. :
70 avrd Suvacbat ro AP: 76 aitos SivacGa 76 Cannan II typ
bylevay e& vyreias AP Al, Asc.¢: e& tysetas thy bylecay EJT 13 7)
alt, EJ Asc.?: om. AP 14 oikias JA*T Al. Asc.©: oikodopias E
15 6) Bywater: de codd. I 17 trav AP ALS: ent tov EJT
et fort. Asc. 18 byaive: T 19~dcor av] Set EJT Asc? et
fort. Al.
20
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on
1033"
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TQN META TA &YSIKA Z
{
AP 14 oikias JA*T Al. Asc.©: oikodopias E
15 6) Bywater: de codd. I 17 trav AP ALS: ent tov EJT
et fort. Asc. 18 byaive: T 19~dcor av] Set EJT Asc? et
fort. Al.
20
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on
1033"
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TQN META TA &YSIKA Z
{
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\ S\ J . cat be no 29 oA Ere) \ Dyy a
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\ 4 ¥ € / a « - \ pee
cal S0ev adpyerar 7 Klynois Tod dyiaivew, dv pev amd
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vatov yevérbar el ndtv mpotmapyor. Stu wev ody Te pepos
e& dvdywns brdpEer avepdv: » yap An pépos (evuTdp-
xee yap Kal ylyverat atrn). GN dpa kal tov ev TO
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c c / > / bi tal >] Lad y¥ _ ig /
tos 6 byiaiver od r€yerat exeivo €€ ob alriov d& Sri ylyve-
Tat €k THs oTEepjrews Kal TOD roKkepevov, 0 A€youev THY
BAnv (otov Kal 6 avOpwros Kal 6 Kdyvov ylyverar dyus),
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« \ Xx b) > , \ / \ ea x >
Kduvovtos byujs 7) e€ dvOpdrov, 510 Kauvev pev 6 vyujs ov
A€yerat, dvOpwros d€, Kat 6 dvOpwros byujs' Gv 8 h or€épyors
b20 ti om. A> Asc.¢ 21 rodt AY? yo, EJT Al. : r@dt EAP
Asc. 22 ro AP 24 6 wore] rep Al.°, ci. Bonitz apxi)
rst Al.° et ut vid. Al. 26 towvy EJ Asc.l: ody AP 7 om.
Ab 27 jvalt....28 byetas EJT Al. Asc.: om. AP 28 eoyarov
eott] €oyaroy EJP Al.&: éeariv éoyarov Asc.° 29 7d pepos AP Al.
et ut vid. Asc. : kal rd otras pépos eort EJT: an 10 peéepos Kal 7d ovras
Képos?: Kat adré mes pépos ear Ci. Bonitz, kal 1d otras pépos Shute,
kal 7d otras pépos early BAn Christ, kadro ovrws pépos eori Bullinger
31 re APAIL, Asc.: 7d EJT 1033°1 dpa Asc.i: apa codd. I
2 5) Bullinger; Sé€ codd. 1: ye i xadkovs AP yp, ET Al. Asc. :
moddovs EJ 3 ry] ei ryy A: of rhv Ab? 4 kat... riOera
an spuria? 5 xadkds AP ev] kal ev fort. Al, de Ejr
All; 8) Ab 7 €xetvov J 6 om, EJ AiOos EJT Al. : AiBor
Ab 8 60m, A? Asc. Il yiyvecOa post orepjoews EJ
12 60m, A? Asc.° 13 6 om. rece. Asc.°
7. 10325 20 — 8. 1033P 10
Asc. :
moddovs EJ 3 ry] ei ryy A: of rhv Ab? 4 kat... riOera
an spuria? 5 xadkds AP ev] kal ev fort. Al, de Ejr
All; 8) Ab 7 €xetvov J 6 om, EJ AiOos EJT Al. : AiBor
Ab 8 60m, A? Asc. Il yiyvecOa post orepjoews EJ
12 60m, A? Asc.° 13 6 om. rece. Asc.°
7. 10325 20 — 8. 1033P 10
v \ . , oe 3 na / {? fal x
adydos Kal avevupos, olov ev YaAK@ oxIpatos droiovody 7)
ev tAOols Kal EVdols oikias, €x TovTwY SoKel yiyverOat ws
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GAN ov diOos, Kal 7 oixla tAWOivn GAN od TALvOoL, eel OddE
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ody TodTo ovTws A€yeTat.
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Ley , \ \ 7 lay > > x xX a
tov Tobro Aéyouev) Kal tl ylyverat (rotro 8 early 7) cdaipa
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exelyny S& Toret. TO yap Téde TL TOLEty ex Tod bAws roKeEL-
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a , X =p a > ” > > tal Mv
érepoy tt, olov TO €idos Totro év GANw: ei yap Tovel, x
x 7 ” a AS c / e o
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Todl movet, 6 €ote odaipa): ei ody Kal Toto wove? adtd, dHAov
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\ ¥ o” IO \ eae / X val
pov. avepov dpa Sri ovde TO Eidos, 7) bTLdHATOTE xpr Kadetv
a n / an
THY év TH alcOynTS poppiy, od ylyverat, ovd’ Eat adrod yeve-
aus, ovde 7d Th iv elvar (rodro yap éorw 6 éy GAdw yiyverat
mA. METS ces, Sa | / x» rs A TSS rod
bm Téxvns 7) tnd Ptoews 7) Svvduews). TO SF YaAKiv
opaipay civar more> Tort yap é€x yxadKod Kal odalpas:
or
eis Todl yap TO €idos Tole, Kal ott TodTO odaipa xaAkij. 10
214 ev] exJ 1p E xadkod yp. E drat ovv fecit E 17 mpod-
yera T ov &vdov secl. Christ 21 ofddpa eniBhern
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Bonitz: 6 codd.T 31 moetv om. AP 32 te AP AL: om.
Er 33 ovde J Dr moet APAL: rovety EJT 3 Todl
EJ Asc.¢: 7éd¢ AP 6] drt AP 5 ovde APAL: odre EJ
6 ov om. AP et fort. Al. 7 eivat] eivat Tovrea Ejr: : elvat TodTO
Al. 8 4 pr. EJT Asc.¢: om. A® Q kai opaipas EJT Al.
Asc.¢: opaipay AP 10 10] rodi ro EJT
20
25
30
1034*
TQN META TA ®Y3IKA Z
Er 33 ovde J Dr moet APAL: rovety EJT 3 Todl
EJ Asc.¢: 7éd¢ AP 6] drt AP 5 ovde APAL: odre EJ
6 ov om. AP et fort. Al. 7 eivat] eivat Tovrea Ejr: : elvat TodTO
Al. 8 4 pr. EJT Asc.¢: om. A® Q kai opaipas EJT Al.
Asc.¢: opaipay AP 10 10] rodi ro EJT
20
25
30
1034*
TQN META TA ®Y3IKA Z
A Vr , i) ig ney. / ow \ ”
Tod b€ oaipa eivar GAws Ef EoTaL yeveois, Ek TIVOS TL EoTAL.
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denoer yap Swaiperov evar det TO yryvdpevov, Kal Elvat TO
wey Tdde TO 5€ TOdE, A€yw O Sri TO peyv VAny TO bE Eidos.
ei 64 eat odaipa TO ek TOB pecov oyHpa toov, TovToU TO Mev
a) Knee A a an A 2 > ye \ ey te iN 4
év @ €oTat 0 Toei, TO O ev ExEiv@, TO bE Anav TO yeyovds,
ofoyv 7) XaAKh odaipa. davepov dy eK TGv ecipnuevay Ort
\ € > Rae a , mene) Caan /
TO peyv os eldos 7 ovola AEyowevoy ov ylyveral, 7 5€ TvVOAOS
) Kara tavrny Xeyouern ylyverat, kat Ori ev mavtl TO
/ e/ 4 \ \ bs 4 \ SS 4 iy
yevvopevy vAn eveoti, Kal €or. TO wey Tdd€ TO 5é Tdde.—TOTE-
cos Da cal SS A Xx Beas: x x 7
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chatpa Xxadki OdAws. davepov apa ori 7 Tov €ldéy airta,
c pla 7 4 x y > ae BY ‘ Xx >
os eidOacl Ties A€yew Ta Eldy, El EoTW ATTA Tapa Ta Kad
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393 a / n ’ / ’ € / 9 oN XS '£
ovd ay elev dud ye Tatra ovoiat kal’ atrds. emi pev dy
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td J ol > J, Or a lal >) lal 3 > n
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wy a 3 cad = A nS BY a
eldel, oloy ev Tols vorKois—AdvOpwros yap avOpwrov yervad—
av py Te mapa tow yeévnrat, ofov itmmos jylovov (Kat
a S ¢ i a és oN mi y PMT ee] isd \ ¥
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> b) /, \ = 4 / » > x BA wy
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katackevacew (udducra yap av ev rovrois éme(ntodyto:
Mee x Asc.¢: 4) os EJTAI.¢ auvodos Jaeger: svvodos codd,
18 mavti AP Al.¢: davri EJ Asc.° 19 yevoneva AY: yivopéevo
Al. Asc.e éveors EJT Al.® :Réo7u AP Asc.¢ 20 m7 J 8 Ttdde E
21 dyom.T ddda7o APA: GAN 6rt EY: Xo 1 J 22 d€ om.
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29 pev On] pi On AP: O€T 30 Kat om. APT 31 ada}
ayn’ év ED: adn’ ev J 1034° 4 ai om. AP
8. 1033511 — 9. 1034? 33
TO Todvde eldos év ralode rats capél Kal darois, Kaddtas
\ A ‘ of S Ss ‘ ee ee LA
kal Swxparns: kal e€repov pev did tiv Ornv (érépa yap),
ras alt. om. EJ xpyoa EJT AL.
29 pev On] pi On AP: O€T 30 Kat om. APT 31 ada}
ayn’ év ED: adn’ ev J 1034° 4 ai om. AP
8. 1033511 — 9. 1034? 33
TO Todvde eldos év ralode rats capél Kal darois, Kaddtas
\ A ‘ of S Ss ‘ ee ee LA
kal Swxparns: kal e€repov pev did tiv Ornv (érépa yap),
RY x na o4 ‘ X »
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2 14 4 bo) re 4 € 7, 3 tA
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elpnuevov Kal Or. Tpdmoy TWA TavTa ylyverar e€ Suwvdtpou,
iA SS / BY > , c , € : 2 2
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d& éorily 7) dylea 7) mépos, 7) Akodovde? adrh pépos Te THs
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a {te} ¢ > > a x € ,
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c a \ \ - d /, wy \ aS
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88 ravra AP Q kal réxvn EJT Al. Asc. : om, AP II 7 alt.
om. AP 14 &de AP 15 Owara T wot EJ Al. : de AP
16 ddvvaror AP 17 &de AP dj} iJ pévrou vai—xal] pévr’
eivat kal AP: pevro xeveirar Apelt 20 Thy APAI. Asc.®: ev rip
Ejr kweioOar ... 21 réxynv om. Al.: an secludenda? tmn’] 4
tr’ ET 21 7) €k wépovs an secludenda? *22 mavra
APAIL.: dravta EJ Asc. 23 7)... dpovipov EJATAsc.¢;:
sec]. Christ 24 7 Robin: # codd. T: # ci. Schwegler, ris
Bonitz 7) &k oe seclusi: pépovs om. AP: i) ek pépous dpavdpou
Christ jom.A 25 rt EJY Al.e Asc.e: +d AP 26 airiov
om, AP 28 i) pr. AP Asc.c: 7 Al.: fro. EJ 7 tert. codd. Al.
Asc.®:; 7 Jaeger 29 arn vyleia J 30 Thy vyleav om. Al.,
secludenda ci. Bonitz Gepporns secl. Jaeger: 7 Oepydrns fecit E;
7 byleva ci. Bonitz 33 6€ APAL Ascl: 67 EJT
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AP Asc.c: 7 Al.: fro. EJ 7 tert. codd. Al.
Asc.®:; 7 Jaeger 29 arn vyleia J 30 Thy vyleav om. Al.,
secludenda ci. Bonitz Gepporns secl. Jaeger: 7 Oepydrns fecit E;
7 byleva ci. Bonitz 33 6€ APAL Ascl: 67 EJT
2678-2 Cc
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a ,
yap onéppa tovel womep TA and Téxvns (exer yap Svva-
> @ , , >
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yap mavra otrw del Cyreiv ws e& avOpdrov avOpwros: Kal
> >
yap yuvn e& avdpéds—eay pH mpwpa Hr 810 Hylovos ovK
2& jidvov)' 80a S& amd radroudtov womep exel ylyve-
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lal 4 a /
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xarkh oaipa ddAX od odaipa odd yXadxds, kal ént
an 3 4. boas \ a oe t x A
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kal TO €ldos), otrws Kal éml rod Ti éoru Kal em Tod ToLOd Kal
mocod Kal tév GdAwy duolws KaTnyopidv: od yap ylyverat
15 TO molv GAAA TO ToLdy EvAoV, ode TO TOTdY GAAG TO TO-
x TaN cad a
cov &bdov 7) Gov. GAN iBioy THs odolas éx TovTwy aBelv
éorw Ort dvayKatoy mpovmdpxew Erépay odolayv evTedexela
a a ~ ~ lal xX
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RN
ovK dvdykn GdAN.7) Suvdyer povov.
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c Nak 4 \ \ (ot \ N t a / x
as d@ 6 Adyos Tpos TO Tpayya, Kal TO pépos TOD Adyou mpos
TO pépos TOD mpdyparos dyotws exer, Amopeirar dn méTEpov
det tov TOV pepdv Adyor evuTTapyew ev TO TOd brov Adyw
Xx + D9) Se, S ~ 7. Ses F. ae 2 > »* Aces
7) ov. em evioy pev yap patvovrat évovres éviay 8 ov. Tod perv
N iA ¢ , > Bs S n PA € * na
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a ) nN a 7 7 a We ce
ovdAaBys Exel TOV TGV oTOLXElwY' Kalror dialpEetraL Kal O
KUKAos els TA TunuaTa Bomep kal 7» ovddAaBy els Ta oTOL-
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434 ro E duvdper EJT Al. Asc. : dvvapuv AP bt mos AY”?
EJY Al. Asc.: mpaoras A>? 3 éay...7 ante 010... 4 Hptdvov
transposui : sic fort. leg. Al.: post 8:0 .. . yuedvou codd. TAsc.: omnia
haec verbasecl. Jaeger ¢éav APAl.Asc.: GdX eay EJT 5 Stvarac
om. AP 12 «/ om. fort. Al. dei] «i AP 13 ovTws om.
py 17 dvayxaiov AY Al.: avayxn EJT Asc.¢ érépav A Al,
Asc.®: del érépav EJT 18 ef yiyverar (Gov EJ Asc.: om. APT
19 GAX’ 7}] d\da AP AI, Asc. 20 6 AP Asc.le¢: om. E 21 Tov
...22 pépos om. AP 24 7) ov EJT Al. Asc.e: om. A em’ AYT
Ale: om. EJ Asc. évovtos J: évdvta recc. em eéviov Tec.
25 rav] rov Ab® 26 kairo. EJT Asc.®: kairor cat A 28 apédrepa
EY Al. Asc.l¢: mpdrepov JA» Ta pepn EJT Al. Asc,le : To pepos AP
20 6 AP Asc.le¢: om. E 21 Tov
...22 pépos om. AP 24 7) ov EJT Al. Asc.e: om. A em’ AYT
Ale: om. EJ Asc. évovtos J: évdvta recc. em eéviov Tec.
25 rav] rov Ab® 26 kairo. EJT Asc.®: kairor cat A 28 apédrepa
EY Al. Asc.l¢: mpdrepov JA» Ta pepn EJT Al. Asc,le : To pepos AP
9. 1034 34 — 10. 1035 23
ral a / X ray
d€eia pepos Kal 6 ddkTvAOs TOD (sov, Mpdrepoy av ein 7 dela
Tis dpOAs Kal 6 daxrvdos Tod dvOpdmov. doKe? O exeiva elvar 30
, ny re XX / b) > 4 \ cal *%.
mpotepar TH Adyw yap heyovta e€ exelvwv, Kal TO elvac
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de dvev GdAnA@Y TpdTepa.—i ToANaXGs Aé€yeTaL TO péEpos,
Gv els wey Tpdmos TO peTpody Kata TO ToTdv—aAAA ToOdTO
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pev adetoOw: e& dv 5% } odoia ws pEepSy, TOTO oKETTEoV.
el oty éotl TO pev An 7d de cidos Td 8 ex TovTwY, Kal 1035%
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kal 7 UAn pépos twos AEyerat, eot. 8 as ov, GAN e& dv
c a 4 a a id > Ba ,
6 Tod eldous Adyos. oloy Tis ev KoWWdTHTOS OK EaTL pEpos
n odp& (atrn yap 7 tAn ef is ylyvera), tis d& oynd- 5
a /
TnTOS pepos* Kal TOD pev cvvddov avdpidvTos p€pos 6 xad-
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kos TOD 8 ws eldous Aeyouevov dvdpidvros ov (AeKTéov yap
@
TO eldos Kal 1) eldos exer Exacrov, Td 8 tALKOV ovdéTOTE
xa’ atrd Aexréov) 81d 6 pev Tod KUKAOV Adyos ovK exeEL
Tov TOV Tpnuatar, 6 de THs TVAAABAS exeL TOV TOV oTOLXElwWY" 10
Ta pev yap oToixela TOO Adyou pépy Tod eldovs Kal ody TAN,
= SS 4 A ¥ c vA > >| e “| f
Ta O€ TuNMaTa ovUTwS pepn ws VAN Eh As Emylyveral
2 , A o y X\ € \ 4 b) 7x ne
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oTpoyyvddrns eyyevytat. eat. d ws ovde TA oTOLXEla TATA
Tis ovddAaBhs ev TO Adyw evéora, ofov Tadl Ta KHpwa 15
UI U] : Y¢ 3 MPa 15
x x a 2/ x Sc \ ca) , a“
7 Ta ev TO aeper 7dn yap Kal Tadra pepos THs ovdAda-
Lay ,
Bis os trAn aicOynrH. Kal yap 7) ypapypi) ovK ed durarpov-
/ > x ne, / Aye) > Ne) 5
wevn eis Ta Huton POetperat, 7) 6 GvOpwros «cis TA dora
kal vedpa kal odpxas, dua Todro Kal eloly ék TovTwy otrws
« wv n > 2 na >) > « > vA \ cal XS
@s dvray THs ovoias pepGv, GAN os e€ BAns, Kal Tod pev 20
, t no» N Keea ele , > ga) ee , 299
ovvddov: Mépn, TOD eidous 5€ Kal ov 0 AOyos ovKETL’ SLdTEp Ovd
év Tots Adyos. TO wey ody eveoTa 6 TdV ToLO’TwY pEpOY
Adyos, TH F od Sel evelvar; Av jut) 7} TOD cvveAnppévovs
b29 rod... 30 Saxrvdosom. APT = 33 rocotv AP ~—- 10352 4 pépos
n odp& EJT Asc.¢: 7 wap pépos AP 5 7 alt. om. AP ag’ E
6 pepos AP AI. Asc.e: pépos re EJT ody ddov J 10 éyeu
om. EJ’ II as ovx vAn yp. E 12 ovtws| Tovtwy
ovtas EJ : rovrov ovrasT: ovre Asc.® jis Jaeger: ois codd. Asc.
14 mavra EJ Asc.®: admarra AP 15 éveore T 19 eloty
EJP AIL!: éxeiv’ A> 21 od] ovdev J: Kai AY 22 T@ Scripsi:
ray codd. ovvomA?: odyotk EE tay... 23 éveivar] dSudmep rois
pev evéorat 6 Trav TovovTay pep@v Adyos, Tois S ov Set eveivac yp. E
23 7@ scripsi: roy EJT: rois AP et fort. Al. ay... cvver\nppévou
secl, Jaeger 7) et 24 ws om, AP
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ovvomA?: odyotk EE tay... 23 éveivar] dSudmep rois
pev evéorat 6 Trav TovovTay pep@v Adyos, Tois S ov Set eveivac yp. E
23 7@ scripsi: roy EJT: rois AP et fort. Al. ay... cvver\nppévou
secl, Jaeger 7) et 24 ws om, AP
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dua yap todro eva pev ek TovTwy ws apxov eorlv eis &
Pbetpovrat, évia O€ odk eoTw. Goa wey ody oUVEAnPpEVA TO
~ ay a
eidos kat 7 UAn éoriv, oloy Td cmdv 7 6 XaAKods KUKXos,
a a / > a \ / a= ih « A
Tatra pev Oelperar els tadra Kal pépos atvrdav 7 An:
4 x \ 4 2 A 2 ‘ cy Eset ¢
doa 6€ pa) ovvEelAnnTal TH VAN GAdAa dvev VAns, OV ot
a a BN x
Adyo. Tod eldovs pdvor, tadra 8 ov POelperat, 7) dws 7)
otro. otrw ye Bor exelywy pev apxal kal pépn Tadra
a S ” x f / b) Pd \ x n
Tod 6é eldovs ovTe pepn ovTe apyat. Kal 61a TodTO
POeiperar 6 myAwos avdpias els mAdY Kal 7 catpa
els yxadkov kal 6 Kaddlas els odpxa Kal dora, eri be
6 Ktkdos eis TA TuHuaTat €or. ydp Tis Os cuvelAnTTaL TH
Medd Le yap i
DAn dpovtpws yap A€yerar KUKdos 6 Te AmAGs eyd-
i PODUy. ¥ep i ys
\ c > e ‘ Q ‘\ > yy yy. ~
pevos kal 6 Ka’ Exacta dua TO pa elvat Ydioy dvoya Tots
> ef + S mm \ oy Ar / ng 5),
kad” €xaorov.—elpnrat pev ody Kal viv Td adnb€s, Guws 8 Ere
/ og 2 , 4 S \ fat ,
capeorepov cimwpev ETaVaAaBovTEes. Coa pEV yap TOD ADyoU
a n x»
pépn kal els & Ovaipetrar 6 Adyos, Tatra TpdoTepa 7
BN ” € \ 2 3 lal , > a 9
amdvra 7) éviat 6 be THs OpOns Adyos ov Svatpetrar els
d€elas Adyor, GAN (6) Tis d&elas els dpOnv: xphrar yap 6
dpiCduevos Ti d€etav Th 6pOh “eAdtrwv” yap “‘dpOjs” 7 d&eta.
an ny / a
ro eldos kal TO Ti Ww elvar TO TOLWdEe THMaTL (ExacToY
yoty Td peépos eay dpi(nrar Kad@s, odk dvev Tod Epyov dpte-
> « / BA /, ef S uA t
tat, 6 ox trdpker dvev alcbijoews), Bote ta Tadryns pepy
225 dca EJT yp. APAILS: ema AP 28 vAns dy of AP AL. (dy
ex oiov facto in AP): ris vAns otoy EJT 30 ovrot ovtw JT Ale:
ov towoira AP: ovre ora EA>?® taira A? et ut vid. Al.: ra id’
avra EJT: ra td’ atrdv Asc.e: ra tdcKa ci. Bonitz 31 dpxai A>
Al.: dpyal ratra EJT 32-9] ») xaAxy fort. Al., Bonitz 33 odpxa
EJ©r Al. Asc.°: odpxas AP dé] d€ dpotws AP: dé kat E? 4 Tt
d A> Al. TH VAN] ws VAn ut vid. Al. b2 6] of Er 7 avn
6 scripsi, fort. legit Al.: ada codd. 9 6 et ropr. AP ALS: om,
EJ Asc.¢ 12 ws els VAny ET 16 rode AP AL. : rorovre
Ey éxaotov EJT 17 kalés EJT Asc.: 1d pépos kadas AP;
ka\@s TO pépos Al.¢
10. 10357 24 — 10367 12
mporepa 7) mavta i) évia tod cvvddov éov, Kal Kad’ éka-
aTov OH dpolws, TO 5€ cHua Kal Ta TovTov popia borTEpa
TavTns Tis ovolas, Kal Suaypeira els Tadra ws els VAnv
ovx 7) ovola GAA TO cUvoAOV,—TOd Mev ody TLVdAOV TpPdTEpa
Tair’ €oTw ds, €ott 0 as ov (odde yap civar dvvarar ywpl-
> €
Copeva: od yap 6 mdvTws exwv ddxtvdos eov, aAN
£ , i? , yo ‘ d a / \ b] e
Gpavuyos 6 TeOveds) Evia be dua, doa kipia Kal ev ©
mpeT@ 6 Adyos Kal 7 ovoia, olov ei Todro Kapdia i) éyke-
gparos: diadéper yap ov0ey Térepov To.otrovy. 6 6 dvOpwros
kal 6 tmmos Kal Ta otrws em tov Kad? Exacta, KaOodrov d€,
ovK €oT ovata GAAA oUvoAOD TL ek TOvd! TOD Adyou Kal THodt
Ths UAns @s Kabddov: Kal? Exactov 8 ek Ths eoxarns trys 6
Doxparns dy eoriv, kal emt TGV GAAwv bpolws.—pEpos pev ody
éorl Kal Tod eldous (cidos 5& A€yw 70 Ti Hv €ivat) Kal TOD GuYdAOV
ToD ex TOD eldovs Kal THs UAns (Kal THs Ans) adrijs. dGAAG
Tod Adyov pépyn TA TOD eldovs povov eoTiv, 6 6 Aoyos earl Tod
KaddAov' TO yap KUKA@ elya Kat KUKAoS Kal Woxf) elvat
Kal wWuyxy TadvTd. tod 5& cuvddov ibn, ofov KdKAov Tovdt
fa’ > of , Oy by ax a , X \
Kal TGV Kad ExaoTa Tivos 7 aicOnTod 7) VonTOO—A€yw be vorTovs
gev olov Tovs pabnuarixovs, alcOnrovs d5& ofoy Tovs yadKobs
‘\ tp - \ > ot id , > SS \
kal Tous EvAtvous—rovrwv 6 ovK oti dpiopuds, GAAG jseTa
/ Xx > / s b) , SS 5) a
vonoews 7 alcOnoews yvwpiCovrat, amedOdvTes OE EK THS
3 , > a , EA nN > ret ah > ,
evTeAcxetas ov OHAov ToTEpoy eEioly 1% ovK Elotv’ ddd
aet €yovTat Kal yvwpiCovrat TH KaOddrov Adym. 7 8 BAN
* > (says os bs = XS > , 2 € x
ayvwotos Kal’ avtnv. wtAn b€ 7 pev aicOnTHn eoTW 1 OE
/ > is BS \ s / wed ‘
vontn, alaOnty pev olov xaXKos Kal EdAov Kal bon KivyT?)
vA xX SITES b] cal > lal € / X ® > /
tAn, vonth 6€ 7 €v Tots alcOnrots Irapxovea fi) 7) alcOyTa,
olov Ta padnuarikd. mOs pev ody exer Tepl GAov Kal pE-
bar cai] calor 22 ovk ovaiay AP 24 ov EJ Asc.e:
ovde AT Al.¢ 6 mavrws EJT Al.¢ et ut vid. Asc.: dAdos mos AP
25 redvens EJ Asc.: reOvykos A Al, 26 mparos Tl 27 Towovrov
EJ Al.¢: 76 rovodrov AP 28 6 EJT Asc.¢: om. AP Ale ra
EJ@Al.¢: raira AP 33 kal pr. EJT Asc.: ws AP kal THs
vAns add. Bonitz airs susp. Joachim, om. fort. Al. 34 Tov
tert. EJT Asc.: 7d A? et fort. Al. 103692 76n] 7 EJT 3 kal
.EJA’Dr Asc. : om. recc. 7) pr. om. E 5 Tovsom. EJ
6 post yvwpigovrat add. T rotro 6’ éray evepyeia dpavrar dre Odvras
recc. 7 wétepov AP Asc.: mérepdy more EJT 10 don...
11 vonrn EJ Asc.: 60a kiveirat, 7 AP = 12 ofov Ta panuarixa EJT
Asc. : dvra Te pa@nparixa A: om. fort. Al. kai EJT Al, Asc. :
kai mept AP
45
10364
or
15
20
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Or
on
TON META TA ®YSIKA Z
T rotro 6’ éray evepyeia dpavrar dre Odvras
recc. 7 wétepov AP Asc.: mérepdy more EJT 10 don...
11 vonrn EJ Asc.: 60a kiveirat, 7 AP = 12 ofov Ta panuarixa EJT
Asc. : dvra Te pa@nparixa A: om. fort. Al. kai EJT Al, Asc. :
kai mept AP
45
10364
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15
20
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TON META TA ®YSIKA Z
rs : \ N ‘
povs Kal rept tod mporépov kal torépov, elpntaw mpos de THY
lal £ > X
Epetynow dvayxn amavtay, drav tis epytat Torepov 7 dpOH
~ a fed
kal 6 KUKNos Kal Td (Gov mpdrepov 7) eis & S1atpodvrar
- . a . bs
kal é&€ ov eici, Ta pépyn, Sti ox GmAGs. Ef pev yap EoTL
\ c > ae a Mv a a 7 c ~ > nn ‘ ~ ‘ \ / oe ty
ovoia 7 THs OpOjs, TL wey Kat Twos dareov voTepov, otov
Tév ey TO Ady@ Kal Twds dpOjs (Kal yap 7 pera Tis
a cal tal cal 3
DANS, 7) XaAKH 6p6y, Kal ev Tails ypaypais Tats Kae
a va , col
éxaora), 7) 8 dvev tAns Tév pev ev TO Adyw toTEpa TOP
a 2 f
8 ev TO Ka® Exacta popiwy mpotépa, dads 8 ov Hatéov:
» > c / x a M e X X a ‘ a
ei 8 €répa kal pa) eotw % Woxy Gov, Kat otTw Ta wer
, x b > / 4 »”
gateov Ta 6 ov HhateEov, woTEp ElpnTaL.
9 tal % > , \ cal an my / X
Amopetrar 6& eixérws Kal mola Tod eidovs pepy Kal II
Tota ov, GAAG Tod cvveAnupéevov. Kaito. Tovrov pr SHAov
dvros ovK éoTw dpicacbat Exacrov Tod yap KaOddov Kat Tod
eldous 6 dpicpds' Tota otv éotl TGv pepOv os TAH Kal Tota
ov, eay py 7H ep, ovde 6 Adyos ora arvepds 6 TOD
, cay pi) 7 pavepd, obd8 y p
A a .S = , 3 / 24? Lg
mpaypatos. dca pev ow aiverar emryryvéyeva ed) Ere-
pov TO elder, ofoy KUKAos ev XaAk@ Kal Aid Kal iA,
a Xx tod > re ee Or con n ! . > PA
Tatra pev onda evar dSoxet OTL ovdev THs TOD KUKAOV OVTLaS
6 xadkds odd 6 AlOos bia TO ywpiCerOar adirdv: boa de
My Oparat yxwpiCopera, ovdey pev Kwdver duoiws éxew
4 4 Xx > 4 , , c can _—
TovTols, @oTEp Kav € OL KUKAOL TaVTEs EwpOvTO yXaAKot
IDr = x» ca 2 c \ Xr fal ¥ 4
ovdey yap av ArTovy Av 6 xadkods ovdey Tod Eidovs: YXadeTOV
d€ adedeiv rotroy TH Siavoig. tov 70 Tod avOpsmov eidos
del ev capét datvera kal dorois Kal Trois Tovovrois pepecw"
) a a a a»
ap ov kal éotl tatra pépyn Tod eldovs Kal Tod Adyov; 7) Ov,
GAN tAn, GAAG bia Td pry Kal ew GdrAwv emuylyvecOa
p) cal rf 3 an Xx cal _ x 3 £
advvarotuev xwpioa; eémel 5€ TodTo doKed pev evdexerOar
x a n
GdnAov be wOTE, Amopotet twes dn Kal ent Tod KUKAOV Kal
215 mporepa ET - Starpetrar AP 17 7 EJAPYAL: om.
recc.: 7 Christ ¢syvyosE 1 EA*TAL: J yp. E éxaoT@
r 18 cai pr.om. AP; xal EJ: et 20 kat pr.] an kat
TOv? ny pep pera T 26 tod EJT Asc.: ora rod A®: €or roo
Al. 29 rota pr.] 7 moia AP by e& EJT Asc.: om. AP
2 ovdey alt. om. EJT 3 rotvrov AP Al.: rodro EJT 5 tatta
pépn AP ALS Asc. : pépy tatta EJ: pépy rovrov I
10. 10364 13 — II. 103771
E éxaoT@
r 18 cai pr.om. AP; xal EJ: et 20 kat pr.] an kat
TOv? ny pep pera T 26 tod EJT Asc.: ora rod A®: €or roo
Al. 29 rota pr.] 7 moia AP by e& EJT Asc.: om. AP
2 ovdey alt. om. EJT 3 rotvrov AP Al.: rodro EJT 5 tatta
pépn AP ALS Asc. : pépy tatta EJ: pépy rovrov I
10. 10364 13 — II. 103771
ToD Tplyovov ws ov TpooHKov ypappais dpilerbar Kal To
tal > x , 4 rn bd , - c 4
guvexei, GAAG TavTa Kal Taira dpotws rA€yerOar woavel
capKes Kal dota Tod avOpeiTov Kal yadKods Kal AlOos Tod dv-
dpidvtos: Kal dvdyovor mata els Tovs dpi Wyovs, Kal ypap-
pis Tov Adyov Tov Tév bto civoi gacw. Kal Tov Tas
Ign / ¢ x > x >. : /> ¢ >* 4
idéas AeyovTwv of pev aitoypappiy tiv 6vdda, of Be Td
eldos Ths ypappis, Evia pkey yap elvat TO avTd TO eldos
kal ov 70 eldos (ofov 6vdda Kal 76 eldos Svdéos), ent
ypappas 6€ ovkérr. orvpBaiver 8 ev Te ToAAGY €ldos
evar Gv TO cldos daiverar erepov (6mEp Kal Tois TvOa-
yopetors avveBawev), Kal evdeyerar ev TavTwv Toreiv aiTd
eldos, Ta 8 GAAa pH eldn’ Kaito. otrws ev mavTa éoraL.
if x A y x 5 "s > 4 s c 4 4
Or. pev oby exer Twa Aroplay TH TEpL Tos picpots, Kal
61a ti airiay, elpyraw 610 kal To mavTa dvdyew otto Kal
ahapeiy tiv thynv neplepyov’ evia yap icws Tos ev Tad’
Pp 7] nv TEplepy yop t
> x. a HdL bl Mw. , ¢ ty ti Oe ~ ,
éorly 7 @d1 Tabi exovta., Kal 7 mapaBody 7 én) Tod Gov,
a Vs / J 4 Ys > faa cs
jv eldOer A€yew Zwxpatns 6 vewdTepos, ov KaArAGs Exel
> big x > te a~ 3 = ~ ¢ J e
anaye. yap amd tod} GAnOois, kal worel trodapBdavew as
evdexopuevov eivar tov GvOpwrov dvev TGY pepGv, GorTep
Gvev Tod xadkod Tov KUKAov. 70 8 ody Gyowovr aloOyrov
> o~ ys vA > x” £'..f 4
yap te Td Gov, Kal dvev Kwyoews odk éotw dpicacba, 610
ov avev Tay pepGy exdvTwy més. ov yap TdYTWS TOD dy-
Opemov pepos 7 xelp, GAN 7 Svvapevn TO Epyov amoreAciy,
Gore Eupvxos ovoa pi Eyapvyos be oF pépos. epi be Ta
s x 7 > 3 s € , r ,
pabnparika 61a ti ovx eiot pépn of Adyor Tov dAdyor,
otov Tov KUKAov Ta TpiKUKALa; ov yap eat aicOnTa Taira.
a n
y ovOev biadeper; eorar yap tAn éviwy Kal pr aicOnrdr:
4 4 > cA w a Ss wt Ma 2 %
Kal mavtos yap tAn tis €orw 6 pH Eotr Th iv clvar kal
49 rov APAI. Asc.°: ext rov EJT Io kat om, EJT II af
odpkes AP cat pr. AYT Al. Asc. : 4 EJ Tov avépiayros AP Al.:
i) avSpiaytos avSpidavros yp. E: xuxdov EJT 12 wayras JU: wdvtas
yp. E 15 ro auto AYT Asc. : ravra EJ 16 roalt. EJ Asc.¢;
om. A> 17 ovx eorw E 19-20 airdedos Joachim
21 twa dmopiay AP Alle: dropiav twa EJT Asc. 22 Kaito E
All: kat AP: 76JT 29 71 AP Al.Asc.: reiomsEJT = 30 05” om.
AP 31 dAd’ 7 Joachim: adN’ 4 EJ Asc. : ddka AP 32 mepi—
103775 vonry cum loco 1034>24— 1035417 ‘primum coniuncta
fuisse ci. Al. 33 paOnrixa J 34 rou APAI1: om. EJ
35 7 vAn J Asc.¢ 103771 yap... éorw A” et ut vid. Al.: om.
EjfAse. «xat...2 7 AT et ut vid. Al.: om. EJ
Io
20
or
10
TON META TA ®YS3IKA Z
: ddka AP 32 mepi—
103775 vonry cum loco 1034>24— 1035417 ‘primum coniuncta
fuisse ci. Al. 33 paOnrixa J 34 rou APAI1: om. EJ
35 7 vAn J Asc.¢ 103771 yap... éorw A” et ut vid. Al.: om.
EjfAse. «xat...2 7 AT et ut vid. Al.: om. EJ
Io
20
or
10
TON META TA ®YS3IKA Z
eidos avTd Kal’ atro GAAG TOdE TL. KUKAOU [ev OY OUK
¥ Pet tala a, A x > y n a
éora. Tod KaOddov, TOV O€ Kab’ Exacta EoTaL pepyn Tadra,
¢ ¥ , » N ¢ e y Ne
donep elpnta. mpotepoy: eote yap vrAn H pev aloOnth 7
d& vont. dSfjArov S€ Kal Ore 7 pev Wx ovola TpOTy,
\ LS lal c ¢ ’ BY \ la \ ~) 2 fa)
TO 6€ cHpa DAn, 6 8 avOpwros 7) Td Gov To e€ auoiv
ws KaddAov' Swxpdtyns dé Kal_Kopicxos, ef pev kal 7 Wox7
Swxparns, Sirrdv (of pev yap ws Woynv ot & ws Td otvodor),
el 8 dmAds 7 Woy de Kal (7d) cGua tebe, aomEep TO
¥. \ \ ? e , ‘ x
xaOddovu [re] kal ro Ka Exacrov. mérepov d& éoTt Tapa
THY bAnv Tov TowdtTwy ovoi@y Tis GAAn, Kal del Cyrety
ovoiay érépav Twa olov dpiOuovs 7 TL ToLodToY, oKEnTEéoV
-Uatepov. tovrov yap xdapw kal wept tdv alcOnréy odo.or
~
or
20
tb
or
, 4 > \ 4 X a a 4
Treipoyeda SiopiCew, eel tpdtoy Twa THs vorkyis Kal
devreépas irocodias epyov mept tas aicOyras ovolas
Oewpta ot yap povov rept THs bAns Se? yvwpicew tov du-
olKoy GAAG Kal THs KaTad Tov Adyov, Kal padAov. enh
Xx an c n n / ~ 3 n , \ x
de TéY dpioHOv TOs pepn TA ev TH Ady, Kal dia Th fs
Adyos 6 dpiopds (S7jAov yap Or. TO Tpaypa ev, TO de
c , o
mpaypa tive év, pepn ye €xov;), oxenréov torepov.
Ti pev otv éoti 7O rh jv elvat Kal ms atro Kal?
€ , 4 \ bY y \ x , lal X ¢ Sei baNSS Sy oy 5. la , los Fase
as ty ovK evéotar—ovdé yap éorw exelvns popia ths ovoias
>} XX a , Vd / “) y , \ >
aGAha THs ovvodov, TavTns b€ y EoTL TwS AdyOS Kal OUK
oy XX X\ = les v4 > by 27 /
corw* peta pev yap ths UAns ovdK €oTw (adpicrov yap),
xX sN ¥ ) > / » i >) , € col a
KaTa THY TpOTHY 0 ovolay EoTLV, oloy avOpamov O Tis Wrxns
, € x eee b \ \ o) \ / > o \ fol
Adyoss H yap ovola eori TO eldos TO evdv, e€ oD Kal THs
a
APAL: om. EJT 8 Swxparns om. EJT Asc. Woxny] bux
Ab 9 kai om. AP To add. a tdde] ra dé AP ta Ab
érépav A» et fort. Al.: atray érépavy EJT Asc.¢ 14 metpoueba
Ab i) eet Ab 16 vArkys ci. Christ 17 (rept ris ovcias)
Ts Jaeger émt EJT Asc.: ef A>: ere ci. Brandis 19 60m,
E} 20 rw EJA*D Asc.: rwiyp. EAl. de A 22 kaOddou
om. I 23 60m. AP AL. 26 ovvddov Ta Al. : cuvddns EJAY
29 yap ovcia EJ Asc.°: ovoia yap A” Al.¢
ST. ALBERTS COLLEGE LIBRARY
IE. 1037* 2 — 12. 1037" 25
Christ 17 (rept ris ovcias)
Ts Jaeger émt EJT Asc.: ef A>: ere ci. Brandis 19 60m,
E} 20 rw EJA*D Asc.: rwiyp. EAl. de A 22 kaOddou
om. I 23 60m. AP AL. 26 ovvddov Ta Al. : cuvddns EJAY
29 yap ovcia EJ Asc.°: ovoia yap A” Al.¢
ST. ALBERTS COLLEGE LIBRARY
IE. 1037* 2 — 12. 1037" 25
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TON META TA ®Y3IKA Z
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14 7) EJT 16 & de J 21 tadra EJ 7 Ejr
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227 Statper Ab 28 rocavra AP 33 8 om. J De ij
EJ? Asc.¢: om. AP 9 «ivat pr.om. AP AL® — zpérov APT Asc.
et ut vid. Al. : mparn EJ IO ovoia éxdorov 7) SCrIpsi: ovela 7
éxdorov EJY Asc.: 7 ovoia AP éxdotm AP Al.: éxdorov EJT Asc.
4 T: «al fort. Al. 12 dmayrey recc. 13 dmdavroy AP Al.e
Asc.¢ évos . .. 14 €orat codd. I Al. Asc.: primum afuisse ci.
Christ . 8), ¢orw yp. E 17 dpa Asc.! Bekker: dpa EJA»
tovra AP Al.: atr@ EJ: avrois yp. E 18 évumdpxer JT 19 ovd’
EJT Asc.°: om. A?
TON META TA ®YSIKA Z
4 T: «al fort. Al. 12 dmayrey recc. 13 dmdavroy AP Al.e
Asc.¢ évos . .. 14 €orat codd. I Al. Asc.: primum afuisse ci.
Christ . 8), ¢orw yp. E 17 dpa Asc.! Bekker: dpa EJA»
tovra AP Al.: atr@ EJ: avrois yp. E 18 évumdpxer JT 19 ovd’
EJT Asc.°: om. A?
TON META TA ®YSIKA Z
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13 éort AYA], Asc.: éveors EJ :
13. 1038) 20 — 14. 1039> 7
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26 76 ATT AL®: kai 76 EJ Asc.¢ 28 yap om. AP 29 6 Aeyor
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Ejr 33 @ore xai rd (@ov codd. I Asc.: om. fort. Al. »» SUSP.
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Ejr: kat év add. yp. E 34 kai TO dvOpome Ae Al: om. Ejr
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€éavrod AP 4 tux E*A? et fort. Al.: om. evr Asc.° 6 EJ
Al.: om. AP 5 tes rece. I: ris EJ: ri AY
TQN META TA ©OYSIKA Z
Al.: atrés attra A®: aités atta me
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xepis ovor EJT = 1 xepis avrov JT: aizvd A>, 2 sotro Ejr ree =
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Al.: om. AP 5 tes rece. I: ris EJ: ri AY
TQN META TA ©OYSIKA Z
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>8 dvOpwmos scripsi: d&Opamos AP: 6 tvOpanos EJ Al.® Asc.°
9 eri] Sore Joachim IO @\dov J: adNov T 12 (déa] idéa yp. E
13 dpaEt évom, EJr 14 éora éxaorov EJT tovrov EJ
15 avro¢wov yp. E (gov AP: dou (dor fort, Al. Asc. bicie
16 (wov post dronorepa |. 17 legit ut vid. Al. 70 (@ov] ovcia yp. E
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TQN META TA ®Y31KA H
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advvatoyv civat—ére ovdévy kwdver Suvatoy TL Ov eivat 7 yeE-
417 6... dvaoryva in marg. J 21 be ...22 O€ om. fort. Al.
22 émi om. Ab 23 xai] Oe kai Ab .24 Baditew Joachim:
Bi) Badigov (Badi¢ew a) Suvaroy eivar BadiCe codd. T': Badigov Suvardy
eivat wn Badifew Hayduck : Bi) Badifery Svvarov etvar Badicoy Bullinger
26 evdexecOa T 27 wmapxn AY 28 29 7) yeverOa EJ 31 cuvredeipern Al.le 329
r.om. fort. Al., omittendum ci. Bonitz 35 tovro Sé om. AP
I ovk éort be, ore EJ@AL: diére AP 2 eiciv AP 3 ante ro
foe et Spore eipn pe voy interpunxit Zeller rd alt. om. EJ Al jae
AT AL: © adivarov py Zeller 4 ro APAL: m EJT
: nai Av 7 pev AP perpnOnoera EJT 6 EJAPAL:
om, TT 8 dune advvarov AP
4
3+ 1047" 16 — 5. 10484 2
Bonitz 35 tovro Sé om. AP
I ovk éort be, ore EJ@AL: diére AP 2 eiciv AP 3 ante ro
foe et Spore eipn pe voy interpunxit Zeller rd alt. om. EJ Al jae
AT AL: © adivarov py Zeller 4 ro APAL: m EJT
: nai Av 7 pev AP perpnOnoera EJT 6 EJAPAL:
om, TT 8 dune advvarov AP
4
3+ 1047" 16 — 5. 10484 2
verOar pa) eivar pnd eoecOar. addr exeivo dvdyKn e&k
Tov Keysevov, ef Kal troOoiueOa civar 7) yeyovévar 0 ovK
€or pev duvaron d€, dru ovOev eora ddvvarov: cupBynoera
d€ ye, TO yap peTpeloOa. dddvarov. ov yap dH éoTt
TavTs TO Weddos kal TO ddvvarov: 7d ydp oe éoTdvar vov
Weddos pév, otk ddvvarov bé. dua de SyArov Kal 6r1, e€i
tod A évros avdyxn TO B elvat, kal dvvatod dvros elvar Tod
A kal 76 B dvdyxn clvar duvardv: «i yap pH dvdykn
duvarov civar, ovdivy Kwdrver pi elvar Suvardy eivar, éoTw
dy TO A Suvarev. ovxody ore ro A dvvardyv etn etvat, et
reOety 7d A, ovOey Advvarov elvar ovvéBawev: 71d 5€ ye B
avaykn elvat. GAN Hv adtvarov. oTw 67 advvatov. i 83)
addvarov [avayKn] civar rd B, dvdykn cal td A elvan. dAN
>
3
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tav Tov A B pa 7 dvvardv 7d B otrws, ovdt rH AB e€et
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dvvardv etvar e& dvdykns TO B civ, ei ro A duvardr,
na 4 38 > \ \ 4 c S
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elvat, Kakelvo Tére Kal otrws eivar dvaykaiov.
5 ‘Anacdyv 8& rév duvdyewy otcdv Tay pe ovyyevdv
n ] Ui n ™ a a > lal n
olov Tov aicOjoewy, Tov dé Oe. olov ths Tod abAcy, TOV
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\ A s S \ \ D4 BA b) /
varov ti dvvaroy kal mote Kal mas Kal dca GAAa dvaykn
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29 pnd] de pnd El: 8 wy T to eirecc. Al.: ef ety AP yp. E:
ein JT: eiva «i fecit E? Il ovpByoeta... 12 ddvvaroy om. Et
12 670m.A> 13 ropr.Jrére AT 15 etvat rov A] rod Acivaca:
rod eivat A Brandis: rov AT 19 roinras.E:raJ AJABEJ
20 éorw . . . 22 dpa alt. om. A? et ut vid. Al.: in marg. J
Al.: ef ety AP yp. E:
ein JT: eiva «i fecit E? Il ovpByoeta... 12 ddvvaroy om. Et
12 670m.A> 13 ropr.Jrére AT 15 etvat rov A] rod Acivaca:
rod eivat A Brandis: rov AT 19 roinras.E:raJ AJABEJ
20 éorw . . . 22 dpa alt. om. A? et ut vid. Al.: in marg. J
21 dvaykn secl. Bonitz Bia e alk .Bonitz Ay... B codd.
22 mpatoy... devtepov] A duvardy kai TO Brecc. dpa post devrepov
om. E 7 Bekker 25 ray scripsi: rov codd. I +A B
om. A Ta] Td recc. 27 kai AP Al.: om, EJT 29 104
bis AP 30 / 2 3 ve
kat at duvdpers GAoyou, Kakelvas pev avayKn ev euydym
sear tatvras Se ev duo, Tas pev Tovatras duvapers
avaykn, Orav ws ddvavrar Td TounTiKdy Kal 7d TaOnTLKOY
TAnoiddwol, TO pev Toleiy TO SF macye, exelvas 0 OvK
avdykn adrar per yap Tacar pla évds moinriKy, éxelvat
S ca pk ALA iy / x b] 7 fay x
de Tov eévavtlov, Sore Gya Toujoer Ta evavtias Todo oe
> 7 > BA er , bd \ , if
10 Gdvvatov. dvdykn dpa €Erepdy tu elvat 7d KUpiovr €yw
N ie RN R
d& Todro dpeEw 7) mpoalpeow. SmoTépov yap av dpéynrat
kuplws, todro moujoe bray os ddvarar bndpxn Kal TAy-
lf a a ef iN \ iN , a
addy TO Tanto Gore TO SuvaTov Kara Adyoy amay
avdykn, Otay dpéyntar ob éxe THv Sdvauw Kal os exe,
15 TOTO Tovetys exer 5& TapdvTos Tod TaOyTLKOD Kal wdl Exor-
a Bn , a 9 , N x N
tos [woueiv|: ed 5& pn, Torey od dvvycerar (rd yap pnOevds
Tav é£w Kwdvovtos mpood.oplcerbar ovOev eri det» tiv yap
ddvauw exer ws Core Svamis Tod Tovey, éoT. 8 od TavTwS
GAN exdvtwv TGs, &v ots aopicOjoera Kal Ta ew Kw-
20 Avovrat aatpeirar yap Tatra Tév ev TH dSiopiowa Tpoady-
of MS 39 2 ¢ , X. 9 a n
Tov via) 810 odd eav dpa BovrAnrar 7 émOvus sorely
Te Se 7 > a by SN ¢/ By peers X
dvo 7) Ta evavtia, od Toujoe ov yap otrws exer adroy THv
dvvayiv ovd ort Tod dua Toveiy 7) Svvapus, wel Gv eorlv
oUTws TOLNCEL.
25 “Emel 0& mepl rhs xara xklvnow dAeyouevns Svuvdpews 6
elpntar, mepl evepyelas Siopiowpev th Té eotw 1) evepyela
\ at \ s \ BY ey rad x
kal moltov Ti. Kal yap To dvvardy dua dnAov e€orar dia-
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tal BN na xX
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30 Kal érépws, 810 Cyrobyres Kal wept rovrwy dujpAOopev. ore
57) evépyera TO trdpyew TO Tpayya pr) ovTws @omeEp
4 tf SX / oe S a ,
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c a a XX €
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1048* 6 Sivavrar. . . ma9nrixdv APT Al. : Sivevrar td rabnrixoy Kal Td
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od 7 recc. 16 roveiy om. fort, Al., secl. Christ moet AY
18 divaus EJP Al: Suvdper AP 19 €xovros J}: exydvras J?
21 emOupety AP 22 thy] dpa thy JT 23 dpa tov dua AP
év codd. PAl.: as ci. Christ 26 ré om. J 28 Svvardy
EJr Ale: om, A> 31 O) E et fort. Al.: & 4 JAY 32 Néyomev
» «+ 35 evepyeia in marg. J 7 om. J
pA MYER ST a cee Poi” ace Me at
5. 10488 3 — 6. 1048 22
ey
21 emOupety AP 22 thy] dpa thy JT 23 dpa tov dua AP
év codd. PAl.: as ci. Christ 26 ré om. J 28 Svvardy
EJr Ale: om, A> 31 O) E et fort. Al.: & 4 JAY 32 Néyomev
» «+ 35 evepyeia in marg. J 7 om. J
pA MYER ST a cee Poi” ace Me at
5. 10488 3 — 6. 1048 22
ey
kal emornova Kal Tov jn) Oewpodyra, av duvatds 7 Oew-
phoav 7d dé évepyeia. Sifrov 8 emt tov Kad Exacta rh
3 a A Q 4 \ bh tal \ 4
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pody mpos TO oikodouiKdyv, Kal Td eypnyopds mpds Td Ka-
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. > / 2 o A x \ ey sy x
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pas Oarépw popin éotw 1% evépyea adwpicnern Oarépw
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Ta 8 @s ovola mpds twa BAnv. Gddws SE Kal Td dreipor
\ x if. \ ae Loy / % b)
kal TO Kevov, Kal 60a Toiatra, éyerar Ouvduer Kal evep-
n a i a K
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c / fay SS s 2 2 \ La lat 2 +4
OpwpEev@. Tadra pev yap eévdéxerar Kat amAds aGAnOEve-
va BN ss SS Gr fe 4 Rees X \ 4
aOat more (TO pey yap dpemevov bru Sparta, 7d S& Src
en re Q ay > ef We yx €
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evepyeia Evopuevovy xwpioTtov, AAAA yvdoe. TO yap jr
© 4 N\ s > ys \ AN L te
bmodeimew THY Statipecw amodidwa. TO civa dSuvayer Tavd-
THY THY evepyeray, TO O€ yapiCerOau ov.
> \ SS n / e Ba J 2) 2 /
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a a N
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> ve tS nt 4 > 7 v4 5 ¥ > / X\
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imdpxovra Ov evexa 7 Kivnois, ovK oT. Tadra mpagis 7}
> yg > \ / ‘ 2 Dns s @ 2 / x
ov Tedela ye (od ydp Tédos) GAN’ exelvn (Hf) evuTdpxer 7d
434 kai alt.| Tov Oewpovyta kai E Tov om. J 7 om. E
35 ro b¢ EJ Al: rdde APT a evepyela (SnAov . . . 37 auvopar)
a@s Schwegler: évepyeia (Sjdov « . . cvvopav) 6 m os Bullinger
evepyeta OnAov emt ci. Bonitz 37 kal] kara Bywater TO EJ
dre om. A?, ante ov 1. 36 collocandum ci. Bywater D4 ravrns
d¢€] gore ré te Kal ravtns EJT et ut vid. Al.: ad re add. yp. éort tovTo
E 5 Oarepov pdpiov AP Ale éoro EJT Ale: gorae AP
6 evepyeia EJT Al. : evépyera AP 7 7@ APT'AI.: 10 J et fecit E
760] 70 & J 9 kai om. AP 10 ro Ab All; om. EJ II 7)
addidi 12 ef radra AP 15 ro APAL.: ro EJT 16 vrodctrew
E Al. : trodureiy APJ droduddacr T 17 70 Al, Christ : ro
codd. T 18 eet... 35 xirnow A?, codd. plerique, Philop., cod.
F. Alexandri: om. EJT, codd. ceteri Alexandri 19 roalt....7)
Bywater: rovd.. .7 codd. igxvavoia AP 20 avré secl. Christ
ovtas] od téAos F 21 vtapxdyTwy oy fort. Al., Fonseca
22 exeivn 7) Cl. Bonita: ekeivy codd.
E 2
Som ls SERN
T 18 eet... 35 xirnow A?, codd. plerique, Philop., cod.
F. Alexandri: om. EJT, codd. ceteri Alexandri 19 roalt....7)
Bywater: rovd.. .7 codd. igxvavoia AP 20 avré secl. Christ
ovtas] od téAos F 21 vtapxdyTwy oy fort. Al., Fonseca
22 exeivn 7) Cl. Bonita: ekeivy codd.
E 2
Som ls SERN
35
1048)
or
TON META TA OYSIKA ©
rédos kal [9] mpagis. olov dpa dua (kal Edpaxe,) Kal ppovel (kal
ve \ al ‘ / 2 3 5 t \
meppdvnke,) Kal voel kal vevdnker’ GAN’ ov pavOdver Kat pepd-
a5 Onkev ovd byid¢erar kal dylactar. ed Ch Kal ed ECyxev dpa,
Kal evdaovel Kal evdaydvnker. ed d€ pj}, Eder dv TOTE TaAve-
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amo tbxns, GAN €ore TL O Suvardy éoti, Kal Tobr eéoTW
€ A r ” N a rae es , 3
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xela yryvopevov €x Tod dSuvdper dvtos, Gray BovdnOEevtos yi-
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lal yA « / A oy € > ‘ a /
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\ v4 g\ 8: > baa m x iA A lal yw
kal dowy dH ev atr@ To exovTi, boa pnOevds Tov eLwberv
b 23 Kal ) mpagis| tn mpage F 7 incl. Bonitz dua Kal éopake
ci. Bonitz: adda codd., kat meppoynxe addenda ci. Bonitz
25 dua ci. Bonitz: ddd codd. 28 rovtay ... 35 kivnow expunxit
Ab det addendum ci Bonitz éyo Schwegler 30 6) ci.
Bonitz: dé codd. 31 axoddpunxey recc.: @koddunoey A>
32 Kweli re ci. Bonitz kekivnkey TECC. aN érepov post Kekivnker
1. 33 Jegenda ci. Christ 33 Kxextvnkev] kweirartecc, 35 évepyeia
EJ Al.: evepyety AP ré om. E? 36 gorw AP AI; ora
EJr 10499 1 Suvaper dvOparos EJT Al. : ayOpwros duvdjer AP
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E? 36 gorw AP AI; ora
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dvvdews oF povoy Tis wpiopevns 7) Aeyerar apy) peTa-
414 avrov AP Al.: avrov EJ 15 mecew addidi, fort. leg. Al. :
eva. add. Bullinger = peraBadreiv fecit E avrod A> 16 4 AP
exeivo AD Al.: éxeiva EJT 17 peraBaddovoa E7J A> 19 KiBwrov
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duvdper E?: éxeivo APA: om. yp..E 23 yap om. AP
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TON META TA ®YSIKA ©
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kai ovata recc. 28 cal ov Apelt: xadedov codd. I Al. Te |
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o évavria diddopa, kal 7 evavtiwais diadopd tis. sre Be
KaA@s TodTo tmoréeucOa, SHAov ex THs emaywyhs' TavTa
X a
yap Siapépovta daiverat xal tadra, od povoy €repa
35 dyra GAAd Ta pev Td yevos erepa Ta 8 ey TH adiTH ov-
t t
Lp = > cal LS a
1055* crouxla tis Katnyoplas, dor ev raire yéver kal TavTa TO
¥ 7 Jo | x” lal n / bee Ee!
yévet. didpicrar 0 éy GdAows Tota TS yéver Tavra 7) Erepa.
; .
Emel d& duahépew evdéxerar GAAnA@Y Ta bvadepovta
bi2 i) ra €repa 7) dmhGs EJ: om. fort. Al. 13 7) Nevkdy ex Al.
scripsi: 7 Nevxds Schwegler: 4 xpvoé codd. I’: xadkds ypu ci.
Bonitz xpvods d€ om. EJT mupi | mp 7) JT et fecit E kat]
kal ro EJ 15 drav AP Al,: way EJ 17 eis, dd od] idios
A» yp. E yp. J Al. kal TO mAnotairepov’ ro AY Al, 19 mpos
dray AY Al.¢ ov EJT AL: odd¢ AP 21 mavtev Tay dvrwy AP
22 mépvy’ doa scripsi: wépuke boa Apelt : mepuxds codd. T Al. dy]
cal dy EJT AI, cai in ras. E; om. J 24 kai om. Tr 26 To
tavTo J yp. E 27 tavto EJ Al.e: avro A 31 Aéyerar AY
kata Thy bis E 31-2 ra 8 evartia Sudgopa in marg. J 34 yap]
yap 7a Al. gaivera APAL: re haiverat EJT: 7 haivera ci. Bonitz
tadra om, A®; ratra E Al, 10552 yéve: pr. APAI.: cide EJT
3. 1054>11 —4. 1055" 37
E; om. J 24 kai om. Tr 26 To
tavTo J yp. E 27 tavto EJ Al.e: avro A 31 Aéyerar AY
kata Thy bis E 31-2 ra 8 evartia Sudgopa in marg. J 34 yap]
yap 7a Al. gaivera APAL: re haiverat EJT: 7 haivera ci. Bonitz
tadra om, A®; ratra E Al, 10552 yéve: pr. APAI.: cide EJT
3. 1054>11 —4. 1055" 37
mAciov kal édarrov, éort Tis Kal peylorn diadopd, Kal rav-
Ty A€yw evavtincw. br. 8 i peylorn earl dvadopd, Shadow
éx THS émaywyns. Ta wey yap yever Siahéepovra ovK exer
dddv eis GAAnAa, GAN améxer mr€ov Kal dovpBAnra:
Tots 0° elder diahépovow ai yeveoers ex Tév evaytiwy eloly
ns , ae \ 4 > 2 /
drapxn adrois. totvrwy d& dvrwv pavepdv bri odk evdexerau
ee 2 2 7 > + > xX _ /
évl mArciw evavtia elvar (otre yap tod éoxdrov éoxarerepor
etn Gv T1, ovre TOD Evds diacoTHyaros TAclw dvoly eayara),
bdws Te ei Eat 1 evavTidtns diadopd, 7 5é diapopa dvoiv,
ore kal ) Téedevos. avdyxn Se Kal Tovs GAAovs Spous dAnOets
o n 2: We \ SS a / ¢: /
elvas Tov evaytiav. Kal yap mAeloToy dvapéper TéAELos
duaopa (rdv Te yap yéver diaepdvTwY ovK oT eEwTépw
AaBeiv Kal rv cide dederxtar yap Gri mpds Ta ew Tod
a 2 x / / > A 4 \ XX rd
yévous ov« éots Siadopa, rovtwv 8 atryn peylorn), kal ra év
TavTG yever Teiotov Siap€epovta evavtia (weylorn yap
diaopa rovrwyv 7 Tédelos), Kal Ta ev TH adTS deKTIKG TAci-
Io
20
25
/ > ty € \ oe € 2% a 2 ty
otov diapepovta evaytia () yap tAn H avTH Tots évayrioss) 30
kal ta bd Thy adriy dvvayiw TA€loTov Siadépovta (kal
bs Es 1 8 a \. J “3 € 7 v2 aN € i
yap emuothyn mept ev yevos H pla) ev ols 4» TeAela dua-
popa peylorn.—mparn 5& évaytlwois E€is Kat orépyots eorw:
| Yad iN t an ‘ / ¢ /
ov maca d&€ orepnois (moAAaxGs yap A€yerar oTépnois)
GAN ijris dv redrcla H. Ta 8 dAAa evayria Kara rabdra 35
x 6n oS ‘ a x de a a Xx xX
EXUNOETAL, TA MEV TH EXEL TA OE TH TOLELY 1) TIOLNTLKA
eivat Ta 5€ TS AnWeis elvar Kal AmoBodal rovTwv 7) dAAwv
%4 gor EJT Ale Ammonius: kal gor: AP 6 otk EJT ALS:
ovd’ AP 7 aovpBdnrov E*J) 18 rd pr.] tov AP 20 Tov
om. E} 22 re] O€ AT ALS 26 yap om. AP 28 évavria E2A
et ut vid. Al.: rdvavria E'J 30 evayria A® et fort. AL: om. EJI'
F2
TON META TA ®YSIKA I]
XX 4 / ‘
evavtiov. et dy avrikerrar pev ayTidacis Kal oTEpyots Kat
E} 22 re] O€ AT ALS 26 yap om. AP 28 évavria E2A
et ut vid. Al.: rdvavria E'J 30 evayria A® et fort. AL: om. EJI'
F2
TON META TA ®YSIKA I]
XX 4 / ‘
evavtiov. et dy avrikerrar pev ayTidacis Kal oTEpyots Kat
povoy ey TO Sextix@ Tod ioov. el 37 ai yevéoers TH DAy €K
Tov évartiorv, ylyvovtat 5é 7) ex Tod eldovs Kal THs TOD Eldovs
oN a 2 a lo
&fews 7) Ex oTEpHoEew@s Twos Tod Eldovs Kal THs pophys, dfAor
o lal / =
dre pev evavtinois atépnois av ein Taca, 7 b& oTEpnots
las , n /
1g lows ov Taca evayTiorns (airiov 8 Sr. ToAAaxGs evdexeTat
b] los x 3 / 3 eo Be « AK 3 /
éorepnodat TO eorepnyevor): e& Gv yap at peraBodal eoxa-
Tov, éevavtia tadra. avepov de Kal bia Tis enaywyis.
maca yap evavtinois exer orépnow Odrepoy tov évavtlor,
> ’ >’ ¢ ra / > he X\ Bs > , >
GN’ ox dpolws TavTa avicdTys pev yap lodrntos dvo-
20 poLorns & dpowdTnTos Kakla dé dperijs, dvahéper d& Homep
¥ \ x x 2 , 5 eee , A: Ce ES x
elpntau TO wey yap éav pdvov 7 eorepnpevov, TO 0 eav 7
Eee te o x 4 or , A a na Ng xX / ‘s
mote 7 év Twi, olov dy ev 7Atkia Twi 7) TO Kuplo, 7 TavTH
816 Ty pey eorr petakd, Kal €orw ovbre ayabds GvOpwros ovTE
, lat \ > y 2 eae es > x x x
kakés, Tov 5&€ ovK Eotw, GAN avdyKn €ivar 1 TepiTTOY 7
A ¥ x X wy A c / £ / \ >
a5 @ptioy. éTt Ta pey e€xet TO VroKelwevoy wpiopevoy, Ta d
» A A 4 c Hae / cad > s /
ov. ote davepdy bri del Oarepoy Tdv evavtiwy é€yeTat
Kata orépnow: amdxpn 5 Kav Ta mpGra Kal Ta yevn TOY
évavtiwy, oloy TO ev Kal Ta TOoAAa: Ta yap GAda cis Tatra
avdyerau.
> x n
30 «Emel 8 & &l evavtiov, amopjoeey av tis mOS5
avrixeirat TO ey Kal Ta TOAAd, kal Td ioov To pEyarA@
\ n o > x N 4 Wee Snes b) 7 Ls
Kal T@ pikp@. €l yap TO wérepoy del ev dyTiOeoer A€yomer,
33 ee om. EJ© 14 @v AP et ut vid. AL: ay rs EJr
18 Oarepov AP AI.: Bar épov Ejr 21 i) ex Al. scripsi: 7 codd. ©
22 dy et 24 7) pr.om. A 25 6r fort. Al. Bonitz e@pir evo
bis E 30 ei AP All: é&i eorw EJT 32 7™@om. AP
yap ro AP yp, E et fort. Al. : 1d yap EJT Aeydpevoy E}
4. 10552 38 — 5. 1056% 25
EJ© 14 @v AP et ut vid. AL: ay rs EJr
18 Oarepov AP AI.: Bar épov Ejr 21 i) ex Al. scripsi: 7 codd. ©
22 dy et 24 7) pr.om. A 25 6r fort. Al. Bonitz e@pir evo
bis E 30 ei AP All: é&i eorw EJT 32 7™@om. AP
yap ro AP yp, E et fort. Al. : 1d yap EJT Aeydpevoy E}
4. 10552 38 — 5. 1056% 25
, Xx \
oloy méTepov AevKov 7) MéAay, Kat méTEpov AEvKOY 7 OV AEv-
, nN
ov (mérepov d& avOpwros 7) NevKdv od A€yomev, Cav py e€
© Ve a e > BN t
vm0€cews Kal CyTodvTes olov moTepov AGE Kdr€wv 7 Daxpa-
THS—GAN’ odk avayKn év oddevi yéever TodTO’ GAAG Kal TobTO
exeibey eAnjAvOev? Ta yap dvrikelueva pdva ovK évdéxeTat
Fy D ® A & A A
Gua wmdpxew, @ Kat évradtda xpnra. év T@ mérEpos 7A-
Oey: ei yap Gua évedéxero, yedotoy TO eparnua «i dé, Kal
aN
otras dpotws euminrer cis dvtidecw, eis TO ev 7) TOAAG,
° > aN a
otov morepov audrepor HAOov 7 &repos)-—ei d7) ev Tols avTu-
/ a a
Keysevous Get TOO ToTEpov 7) CATnous, A€yeTat S€ TéTEpoy Et-
Xx oN a a
Cov 7 €Xattov 7 toov, tis éotw 7 dvtieots mpds Tatra Tod
wy + x‘ / / 2 ft | ee > tal vA ‘
(wou; ovTe yap Oarépw wdvm evavtiov ovr’ dyoiv: ti yap
° na x nm a
pardrov TH pelCove 7) TO eAdtrom; ert TO dvlow éevavtiov
76 loov, wate mAcloow ora 7 évl. ei 5& TO dycoY on-
Matves TO advTd Gua dyoiy, ein pev Gy dvtiKetuevov ayu-
a lal lal /
potv (kal % dmopia BonOet roils ddoxover Td dvicov dvada
elvai), ad\AG oupBaiver ev dvoiv evavtiov: Smep ddvvarov.
by \ S oy ‘ lA if ‘\ = 2
ért TO pey toov peta€y daiverat peyddou kal pikpod, évav-
14 \ \ > 4 »+ lA x 2 pe =e a
timo dé peragd ovdeuia ovre dalverat obre ex Tod dpicpod
\ a
dwvarov ov yap dv ein Tedela pera&d Tivos otca, GAAG paddov
a XN
éxet Gel Eaurns Te weradv. Aelzerat dy 1) ws Amopacw avtt-
tal Ne Se / f 38 x 3 b} I , \
keloOat 7) ws otépnow. Oarépov pev di odk evdexeras (rh yap
MadAov Tov peyadov 7) puiKpod;): dudoty dpa andpacis oTe-
a a
pytiKy, 10 Kal mpos duddrepa TO mérepoy éyeTal, Tpos
n \
d& Oarepoy ov (ofov mérepov peiov 7) toov, i} ToTEpoy toov 7
\ \
eharrov), adr’ det tpia. ov orepyors de e& avdyxns: od yap
mav tcov 6 pH petcov 7 eAatrov, GAN ev ols mEepvKev
Cees y N ce Beg cunt te) L , ,
exeiva.—éort 02) TO toov TO pre péya pyre piKkpdv, TEepv-
\ a Ca
Kos 0€ 7) meya 7 puKpov civaty Kal dvTikeita, apo ws
> , , \ \ fe 3) \ \ te
amdpacis orepytikn, 10 Kal petagv éoTw. Kal TO prTE
dyabov pnte Kaxdy dytikeitar dyudoiy, addX dveévepov"
b35 kal an omittendum? morepos AP 36 ov Kat’ dvdykny
yp: E 38 ehdciv AP 105672 duos E 6 pdvoyv AP
7 tO pr.] i} to EJT 8 aore] Sor’ ev EJT i ev evi 9 apa
om. A? et ut vid. Al. apoow alt.) audots AP 10 Bonbea AP
13 ovdepia om. EJT 15 del om. yp. E avrn AP poeraku
twos oboa E 21 Opi} Ale 22 ékeival eivar JT 23 7) pr.
om. EJr Al.¢ 24 arépacis| orépnots yp. Al. 25 dyabov
pyre kaxov A” et ut vid. Al. Kaxdv pyre dyaboy EJT
ne
oo
10564
i)
Or
to
oO:
_30
35
1056»
or
10
15
20
TON META TA ®YSIKA I
EJT 15 del om. yp. E avrn AP poeraku
twos oboa E 21 Opi} Ale 22 ékeival eivar JT 23 7) pr.
om. EJr Al.¢ 24 arépacis| orépnots yp. Al. 25 dyabov
pyre kaxov A” et ut vid. Al. Kaxdv pyre dyaboy EJT
ne
oo
10564
i)
Or
to
oO:
_30
35
1056»
or
10
15
20
TON META TA ®YSIKA I
mo\AaxGs yap éyerat Exdrepov Kal ovK eotw ev TO dexTL-
Kov, GAAG padAdAov TO pyre AevKoY pte peday. ev Oe
an yi;
ovdé Totro déyerar, GAN wpiopeva Twos ef Gv dé€yerat
n € 2 s oy Dre A \ KN \ x
aTepyTiKOs 7 amddacis atrn: avayKn yap 7 gaov 7
b] Q 5 ON ee VA vA > > an 5)
@xpov elvat 7) Towdrdy TL AAO. WoTe ovK dpOGs emtTL-
poow ot vopulCovtes duolms A€yerOar mavta, Bote EoeoOar
Ul
Umodjparos Kal yeupos peragd TO pare Unddnua pare
xelpa, emevmep kal TO unte dyabdv pare KaKoy Tod ayabod
a a A
kal TOO Kakov, Os TavTwWY eoopevou TiWds meTagY. ODK avay-
kn 5€ TobTo ovpBalvew. 1 wey yap dvTiKeevwov ovvaTo-
pacts éorw ov ott peta&d Te Kat Oudotywa TL TméepvuKev
> n > > + L7 > BA ‘ , bd €
elvaur Tdv 8 ovdk €oTL diapopd ev GAM yap yever GV al
cvvaropdcets, Got ovy ev TO broKelwevov.
© / \ \ \ OS CRON \ a fat 2 fe
Opotws O€ Kal Tept TOU Evos Kal TOY TOAAGY aTOpT-
LA > \ X\ ‘ cal [ ee c an > 14
oelevy ay Tis. eb yap Ta TOAAA TO Evi aMAGS aVTiKELTAL,
/ By 7 \ x & I x 2) 7, by
oupBaive. evia advvata. TO yap ev oAtyovy 7» oAlya EoTal*
x \ i \ lal > "4 2, v ” \ &
Ta yap ToAAG Kal Tots OAtyois avTikeiral. ETL Ta OvO
ToAAd, €itep TO dimAdoLOY ToANaTAdGLOY A€yerar SE KaTa
Ta dvot Sore TO ev OAlyov' Tpds TL yap TOAAA Ta do
] X\ * ed \ \ > 4 »AX J pI] x
ei pa) mpos ev TE Kal TO GAiyov; ovOev ydp eat €daTTov.
wy “J € n) Ie \ \ \ +4 4 2 vA
éru el @S ev pnket TO paxpoy Kal Bpaxd, otrws ev mANOEL
TO TOAD Kal 6dlyov, kat 5 dy 7 TOAD Kal TOAAG, Kal
TA TOAAG TOA (el py TL apa Siadeper ev ovvexel evopt-
oTw), TO dAlyov TAHOSs Tu Cora. Gore TO ev TAHOdS TH,
elmep kal dAlyov: Todto 8 dvdykny, el Ta SO TOAAG. GAN
lows Ta moAAa déyerar pév Tos Kat [rd] moAV, GAN Os
diahepov, otov Bdwp TorAV, TOAAG 8 ov. GAN boa diatperd,
év rovtous A€yeTal, Eva pev TpdTov eay 7} TANO0s Exov bTEpo-
prov yerai, éva pay Tp i} TAHO0s ex p
« lal s /, \ x € a
xiv 7) amdGs 7) mpds te (kal rd dAlyov aoatrws TAHOos
€xov edreunpw), TO O€ os apiOues, 6 Kal dvTikerrat TO &vi
x
Mévov. otras yap r€youev ev 7) TOAAG, Gomep el Tis €lTror
228 ov EJT ras] tas ta xpopara EJT Al.¢ 30 ado EJT et
ut vid. Al.: d@dXo wpiopévoy AP 31 ecco Our] NéeyerOar yp. E
33 elmep E 34 Tov om. AP 36 é€ort kai dy Al. D7 Kara
EJT Al.: «ai AP 8 dvo pr.] dv0 dimdora AP 9 te kal ro EY,
ut vid. Al., sup. lin. J : te Kai mpds 76 AP to ei om, A’r Al.¢
12 dopior@ yp. E Al. 13 tealt.] ri ore J: teeora EY 15 mas
A’ et ut vid. Al.: os EJT room. Al., secl. Bonitz 18 ) pr.
EJY Ale: om. A®
5. 10568 26—6, 1057415
a \ isd x \ \ / \ \ nd \
ey Kal Eva 7 AevKoy Kal eEvKAa, Kal TA [ELETPNMEVA TpPOS
‘ 4 \ A / oe \ \ Mf
76 peérpov [kal TO perpyrdv]} obrws Kal rau moAAaTAdoLA
c
13 tealt.] ri ore J: teeora EY 15 mas
A’ et ut vid. Al.: os EJT room. Al., secl. Bonitz 18 ) pr.
EJY Ale: om. A®
5. 10568 26—6, 1057415
a \ isd x \ \ / \ \ nd \
ey Kal Eva 7 AevKoy Kal eEvKAa, Kal TA [ELETPNMEVA TpPOS
‘ 4 \ A / oe \ \ Mf
76 peérpov [kal TO perpyrdv]} obrws Kal rau moAAaTAdoLA
c
i \
AEeyeTaus TOAAG yap ExacTos 6 apiOpyds bre Eva Kal bru pe-
Tpntos évl Exaotos, Kal ws TO dvTixeluevoy TO Evi, od TO
Ohiy@. otrw pey ody éotl ToAAA Kal Ta S00, ws Se TAHOOS 2
oy € \ BN , Nar oie a > D4 2 BY na
€XOV UTEPOXTY 7) Tpos TL 7 ATA@S OVK EoTLW, AAAA TPO-
tov. OAtya 8 adds ta dvo* TAHOos yap eorw ddrEup
0 n \ \ > tt n ot rg > , , A,
éxov mpO@rov (810 Kal odk dpOGs améotn ’Avagkayopas eimav
br. duotd mdvra xphuatra iv Ameipa cal mANOEL Kal juuKpd-
Y] Be ie > \ rn 66 \ , » ¢¢ Ree) , »”
TyTl, ce. elmety avTi TOD “Kat puKpdryte” “Kal dAvyornTL”
> Ss BA e) AN BY NW, zd \ NEC 4 /
ov yap dmepa), emel Td dALyov ov did TO ev, Homep Twés
3 \ \ \ / > , \ \ A \ \
gacw, adda Oia Ta dvo.—avrixerta, dy TO ev Kal Ta
\ \ a b} ad € / nn a x ¢
TOAKMA Ta ev apiOuots ws péTpov petpnTe: Tatra O€ os
\ , ig \ > CEN a , ie >
TA Tpos Tl, Ooa pn KAP’ avTa TGV Tpds TL. Oinpnrar 6
her + o a ‘9 \ , \ SS ¢
neiv ev GAdows OTL Siy@s A€yeTaL TA TpPOS TL, TA pEY Os
a "4 x ae a) / \ b) ¥, nm us 7
evavTia, TA O ws ETLOTHUN TpOs ETLOTHTOV, TO eyeaOal TL
»” \ > , \ \ a x a iP oe fal
ahAo Tpos avTo. To 6€ Ev EAaTTOV Eivar TOs, oloy ToiY
dvoiv, ovdey Kwmdveu od yap, ei Aatrov, Kal dAlyov. TO be
mAIOos otoy yevos eotl Tod apiOuod> eort yap apiOyos TAROos
évl perpyrov, kal avtixertat mws TO &v Kal apiOuds, ody ws
) 2. bs 2 oe a , yy e \ i
evayTiov GAA’ woTep eipyTaL TGV TpOs TL eviar 7) yap pée-
Tpov TO 0€ peTpyTdv, TavTn GvTikerrat, 616 od Tay 6 dv 7
ad > , p} i yf yt v, / b) ‘3 14 \
ev aplOuos eotw, oloy et TL adiaiperov eoTw. dpolws dé AEyo-
Mevyn 1) emLaTHUN TpOs TO emLoTHTOV ody dpolws aTodiSwou.
ddfere pev yap av pérpov % emrothyyn ctvar TO be emicTNTOV
TO peTpovpevoyv, TvuBalver 5 emroTHNY ev TaCaY emLoTNTOV
eivat TO 5 emLoTHTOY py Tav emLoTHNY, OTL TpdTOY TIWd 7
emoTiun pmeTpeira TH EmLoTHTG. TO Se TAHOoS otte TO
b] if 3 4 bp) x / aS aN AY c ¢ / Lad
OAty@ EvayTiov—dahAG TOUTM HEV TO TOAD wS UTEPEXOV TAT-
« / / x CN / . 4. S \ S
Gos Umepexopev@ TANOEL—ovUTE TH Evi TavTws’ GAAG TO peV
A ig \ bs =) ra Ve \ > : anémortnrov? 11 an (mpds)éemotnunv? 14 pev ev AP yp, E
15 ro 8 pr.] dd’ E ro alt. sup. lin, J ©’ om, J, in marg. E
~
wm
1057"
en
°
15
TON META TA &YSIKA I
, v4 Cae 7 2 ox EDS Lee) \ 4 ef N
Tpos TL OoTEp 7 ETLOTHUN eTLTTNTO, eav 7 ApiOuos TO O EV
eTpoOv.
"Emel 0& TOV évavTioy evdéyerar elval Te peragd Kai
a. 7, x Re of. 3 a b) 7 ae BS / d
éevioy €oTw, avdyKkn éx TOV evavtiov elvar Ta peTagd. TdT
x SS eae ed fal be , > lac \ @ > \ ,
20 yap Ta peradd ev TO. aiTo yever eoTt.Kal Gv eori perakd.
= a 4 !
peragy pev yap Tatra dA€youey els boa peraBadrdAew
2 / / X\ iA oe > A fol © / a
TdT
x SS eae ed fal be , > lac \ @ > \ ,
20 yap Ta peradd ev TO. aiTo yever eoTt.Kal Gv eori perakd.
= a 4 !
peragy pev yap Tatra dA€youey els boa peraBadrdAew
2 / / X\ iA oe > A fol © / a
dvaykn mporepov TO peraBaddAov (ofov amd THs traryns emt
Thy vyTnv el peTaBaivor TO ddiyloT@, Héer mpdrepov els Tovs
peraey pOdyyous, Kat ev xpdpaow el [ijéer] ex Tod AevKod
, \ / /, ee >] \ ny \ A BN t)
a5 els TO peAav, mpdrepov ikeu eis TO Howikody Kat pa.ov 7 eis
TO pédav* dpolws b& Kal emt Tév dddAwy) peraBddlrAcqw &
*
ef GAXAov yevous els GAAO yévos odK oT GAN 7 KATA TUM-
BeBnkds, oloy ek xpepatos «is oxXijma. advaykn dpa Ta
peraéd Kal adrots kal Ov petadd clow ev TO adT@ yéver
ms : x X\ , As - 33 it) /
zo elvat. GAAQ pV TavTa ye Ta peTagd eoTW aVTLKELLEvOV
lal > A X t > € \ Ba /
TWOV' €K TOUTWY yap povey Kal’ avTa eoTt peTaBadrAcw
x 7 , i“ \ X\ 5 ‘y \ x»
(81d ddvvarov elvar peraéd pr avtikemevav: etn yap av
‘ \ X\ 2 2 fe na > ) i
peraBody kal pn é€ dvrixeevwor). Tov 8 dvTiKeysevov
> J, \ > ot A n_ / Pp} > /
dvripdoews ev ovK ot. peta’ (rodro yap éorw dvripacts,
35 avTiecrs Hs Orwody Oarepov pdpiov TapeoTuy, OvK exovons ovOeY
a X fat Xx Xx , x S / \
pera), TGv O& NoiTGv Ta pev Tpds TL TA SE OTEpyoLs TA
d& évavtia éoriv. rTév dé mpds TL dca pa) evavTia, odK exeL
/ y De key > 2 a 3S aN / > / "2 \
petagd: atriov 8 bru ovK éy TO adtT@ yever eoriv. Th yap
1057” €mioTiuns Kal emioTynTov peragd; GAG peyddov Kal ptKpod.
> ? > \ > > al ie \ 7 A / \
ei 6 €oTlW ev TavTM yever TA peracv, Womep S€édeukTat, Kal
peraéy eévavtiwy, dvayKn atta ovyKeiobar éx TovTrwy Tov
2 x 5S y / Rie Yer *» IAS \ > SS
evavtlmy. 1) yap €orar TL yevos avrdv 7 ovdev. kal ei pev
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>s na / \ an an \ ”
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ty) > x \ t > / ” xs \ ~
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10 TO OvaKpiTiKOY Kal ovyKpiTiKéY, TpdTepal' Hote TadTa évav-
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19 ra pera€v om. T 22 mpdtepoy avayxn EJT 23 ddcyiorw
Neyo EJT 24 née. incl. Christ 29 kal avrois] avrois AP;
om. I 31 povoy AP 38 ra peraév ET bs eorw ci. Bonitz
6 mpdrepar A yp. EJT: mpdrepov E yp. J 8 ra evartia EJ
On 1057" 16— 8, 1058 7
Tia AAAjAoLs TpdTEepA—aAAA iy Ta ye evavTins Sdiaé-
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4 > i AS 2 / 2 7 \ \ oe) Ely
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x XN > Sis of. c , SA EAN a4 \ c
mplv 7) eis avra: éxatTépov yap Kal jrrov éorat Kal maddAov.
N + y My fa) na b) 7 \ Cy BA
meragd dpa éora kal Todro rév eévavtiwv. Kal Tadda apo.
mavta ovvOera Ta petaéd: Td yap Tod pev paddroy Tod o
a , f. 2 3 / re 4 i) a \
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Te TavT® yever TdvTa Kal petagd evaytiwy Kal ovyKeirar
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A a lal a
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> bes € @ 9 ~ a n y A lal
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/ fal ca a a \
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\ n / a A Ba a ce fe ‘
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2 \ Nie: c id a SaaS BN tN @ N X\
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na Ys
inmov 76 b& dvOpwmov, 510 Todro TO Kowwdv Erepov aGrAAHAwY
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f Nae TNS bY pes >} lA wa X
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> n \ /
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tolvuy éotat atrn (fAov S& Kal ex Tis emaywyhs) Tavra
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da ddAnAots ov ylyverat). % dpa diapopa evavtiwcts eorw.
tobro dpa éotl rd érépous eivar TO clder, TO ev TadT@ yever
% dpa diapopa evavtiwcts eorw.
tobro dpa éotl rd érépous eivar TO clder, TO ev TadT@ yever
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2 Sd /, Or “~ an \ By ed n~
popas evavtidocews, ode (Gov OndAv Kal Uppev Erepov TO
xy 5 Me > (REE a Hi ey € \ x > ©
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1058» TO pev Aoyos TO 8 Grn, Goat pev ev TO Adyw elow evav-
Tides elder ToLodcr Siapopdy, dca. 8 ev TO cvverAnuperw
29 kai om. AP 12 eidet raca] rédevos yp. E 17 dpa] yap EJT
18 ratra... 19 6vra in marg. E? = raidra J 21 Ka\ovpevoy] ka-
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kovroy JT 24 ov] 6 A? yp. EJT 26 exeva... Ta AP
27 ov E'r Siahépev E1JT 29 dvdpos yu) APT 32 Kal?
aura A> as] ws 4 AP 36 70 om. AP 37 kaiom. E‘J@P:
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8. 105828 — 10. 1058b 33
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> nan an >
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/ oo a n
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BA c \ \
avOpwros, ot movet d& diapopay 7 An’ odd avOpdrov yap
wy > re i \ fal e € 4 ‘
el6y elo of dvOpwmor dia TodTO, Kalrou érepat al odpKes Kai
\ a @
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& ovx Erepov, Sr. ev TS Adyw ovK EoTW evavTinois. TodTo &
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THs Ans Kat 6 devKds 61 dvOpwmos, br. KaddAtas devkds:
\ 5 a)
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kal EvAwos: ovde tplywvov yadkoby Kal KUKAos évAwos,
> a. X\ n
ov dia THv DAnv e€lder diapepovow GAN’ Ore ev TE AOyo
DA I) 24 , ba v4 b) a n y
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af eeu? es of c a \ y \ CRA, es e.
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af eeu? es of c a \ y \ CRA, es e.
ovod mms ETEepa, 1) coTW ws Toret; dia Ti yap Odi 6 Immos
rovd! (rob) avOpdénov repos T@ elder; Katto. oby Th tAn
ob Adyou adrOy. 7) Or. Evert ev TO Adyw evaytiwors; Kal
\ val a ¢
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lal , tal - >
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fi DAy Kal 7G odpati, 510 TO adrd on€pua OHAV 7) app
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BA lal XX a 5 p) 4 lal >] , lal ,
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dvopdtav, bore dd€evey dv ovk dvayxaioy civar Sriody apOap-
i fal »y o \
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kal pédav (ro ydp avro évdexerar elvar, kal dpa, edv 7
p yap xerar elvar, po, edv 7
nm NN y
TOV Kabedov, SoTep 6 AvOpwros ein Av Kal evKdS Kal pE-
> 6 od’ J: ovK E: ovdey AP 7 €6n| vAn AP 10 70 om.
EJ 12 dvOpwros Neveds EJT ovo’ 6 E (o sup. lin.) J
13 &vAuvos] EvAwov rpiyovoy ci. Bonitz 15 0’ ody J ov sup.
lin. E 16 oto dmhas E* érepaom. ET ode A 17 Tov
addidi 19 péAavosom. AP * 21 dpolas E! 24 ti] ore
ie 26 6¢ alt. E?J : om. E1A 27 76 om. AP 28 To
cide ci. Bonita 7d alt. om. AP 30 ore yp. E recc.: as de
EJA*T — deigerev J
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24 x Sal 2 I \ ~ \ \ € td
dAka Tov eévaytioy Ta pev KaTa oupBEBnKos vmapXeEL
éviows, ofov Kat Ta viv elpnuéva_xal GAAa ToAAG, TA bE
1059* ddvvarov, dv earl Kal ro pOaprov Kat 7d dpOaprov: ovdev
yap éott pOaprov Kata cvpBeBynkds: TO pev yap cvpEBEBn-
\ b} a \ € , \ s \ lat 2 Penh 3
Kos evdéxerar ju) Umdpxew, TO be POaprov Tdv e€ dvaykns
€ , 2 \ ™ € I No \ Din \
brapydvrwy eotiv ols tmdpxeu 7) EoTat TO adTo Kal ev POap-
\ \ BA ? s i ‘ € f baal \
tov Kal aOaprov, ei évdexerar pay wtmdpxew avTge TO
f B)) \ > Da Ne fel Si a7) eens OA
pOaprév. i) Tiv ovolayv dpa H ev TH ovola avayKkn Umapxew
‘ X Sent lat a ¢ a 3: EN , \
TO POaprov Exdotw Tov POaprov. 0 6 avTos AOyos kat
a n 4 BA
Tept TOO apOdprov: Tav yap e& davdykns trapxdvTov apo.
e » \ \ fa, \ a \ x A \ >’
» dpa Kal Ka’ 6 mpOrov TO wey POaordy Td 8 apOaprov,
on
” 2 / a > / / ef a N -
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e » \ \ fa, \ a \ x A \ >’
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on
” 2 / a > / / ef a N -
10 €xeL avTiMecw, Bote avayKn yéver ErEpa Eival. avepov Tot-
vuv OTe ovK evdéxerar civar €ldn Toiadra ola €éyovol Ties"
éora yap Kal dvOpwros 6 pev pOapros 6 8 apOapros.
katro. TO elder Tadra A€yeras etva TA €ldn Tols TLol Kal
b SV A \ gy / ef val , x Ny
ovx Omevupa: Ta de yever ETEpa TAKioy SLegTHKEY 7) TA ELdEL.
15
K
"Or. pev 1 copia mept dpxds émiorypn tis eort, SHAov
€k TOY mpdTwv ev ols dintopntar Tpos Ta UTO TOV GAAwY
20 €ipnpeva Tept TOY apxav: amopnoee 8 dy Tis TOTEpoy play
drodaBety etvar det THY coplay emothpny 7) TOAAdS* el pev
yap play, pla y eotly det tov évavtiwy, at 8 dpyal ov«
evavtiauy ei d&. pi) pla, Tolas det Ocivar ravras; éru Tas
amoderktiKds apxas Oewphoar judas 7) mAedvev; el pev yap
25 plas, TE MaAAOY Tavrns 7) OmOLacodv; ei 5€ TAELOVwY, Tolas
det ravTas TiWévat; ert méTEpoy TacGv TGV ovoldv H ov; el
pev yap qa) TacGv, Tolwy yadendv arododva: «i b& Ta-
1059% 20-23, cf. B. 996218—» 26 23-26, cf. 996 26 —
997° 15 26-29, cf. 997% 15-25
10592 4 kai om. A» 7 6 autos de A» g 7 AP kal? 6
Bonitz: xa0o codd. 12 xaltom. EJT 13 ros rect Om. T
14 lder] cider dre dé 9 codia mepl dpyas emuarnun A” 18 émornuns
i ris APAL.: om. EJT 22 y]0 Ejr 23 piav Ti
26 riOévat AP Al. : Ocivar EJ
ST. ALBERTS COLLEGE LIBRARY
10, 1058 34 — 1. 1059" 15
fa ip BA cal b / , NX bh tes 3
coy pia, Gdndov Ts EévdexeTaL TAELOVYwY THY avTHY é7-
/ Xv
oTHpny elvar. e&rt wérEepov Tepl Tas ovalas pdovoy 7) Kal Ta
ovpBeBnkora [dmddeEls eorw]; ef yap epi ye Ta cvpBEBn- 30
4 2 , 3 \ \ > , > Bd > aes ee?
Kora amddeiEls eorw, mept Tas ovolas ovk eorw: el 8 Erépa,
c / N, / & X \ b>) ,
tls Exarépa Kat morépa copla; % pev yap amodeikTiKy, oo
€ \ bt , ® \ \ & a AS na
gla 4 mept Ta ocvpBeBnkdra: 7 de Tepl TA TpGTa, TOY
3 cat 9: >? INN \ NY ] cay ~ b t aa
ovol@v. GAN’ ovdEe TEP Tas ev TOis Pvatkots elpnpévas aittas
‘\ 3. / b t4 / EA A \ \ ey;
THY emeCnrovperny emioTHpynv Oereov* ovTE yap TEpl TO ov EveEKeEY 35
(rowdrov yap 76 dyabov, rodro 8 év rots mpaxrots tmdpxer Kal
Tols ovowW ev KIVHoEL Kal TOOTO TpPOToY Kivel—rToLODTOY yap TO
f NEISCS n fel > wa 2 re 3 / cg
TéLoS—TO OE TPOTOY Kivicav odK EoTw ev Tots Akwirols)* 6AwS
& amopiay exe rérepdv more Tepl ras alaOnrds ovctlas éorly
H Gyrovpevn viv emiotipn 7) ov, mepl d€ Twas Erépas. ei yap 1059”
mepl Gddas, 7) Twepl ra €ldn etn dv 7) Tept TA pabnwariKd,
Ta pey ovy €ldn Gri ovK ort, SHAov (Guws de dmoplay éxel,
as sf 9S tol \ BY > oe DIAN ca
kav elvat Tis avra Of, dua th mor obxy Gomep ent TOV yaby-
n ct \ [ lan ae yx wy
MatikOv, otrws exes kal éml tév dAdAwy ov éoTw €ldy"
ei yap 1059”
mepl Gddas, 7) Twepl ra €ldn etn dv 7) Tept TA pabnwariKd,
Ta pey ovy €ldn Gri ovK ort, SHAov (Guws de dmoplay éxel,
as sf 9S tol \ BY > oe DIAN ca
kav elvat Tis avra Of, dua th mor obxy Gomep ent TOV yaby-
n ct \ [ lan ae yx wy
MatikOv, otrws exes kal éml tév dAdAwy ov éoTw €ldy"
eyo 0 Ore TA pabnpatika pev perady re TOY clddv TI-
Béact kal trav aicOnrGy ofov rpita Tia mapa Ta edn TE
¥ \ a 2 ee L > x IQ of bd
kat Ta dedpo, Tpiros 5 dvOpwros otk éotw ovd immos Tap
> Ff a \ > ¢ > > a A. 4 c E
avrév Te Kal Tovs Kal’ Exacrov: «i & ad pa €oTw ws A€yovst,
mepl mota Oeréov mpaypareverOar Tov pabnyarikdy; od yap 10
di) wept Ta dedpo* TovTwy yap ovOév eat oloy ai paOnyuari-
an nan n \
kal (yrodo. Tév emioTnpGv): ovde pry Tepl Ta padnpariKa
) Cnrovpern viv éorly emuotiwn (xwpiotov yap atray odOev):
GAN 0dde Tv aicOnTGy otordv: POapral ydp. dws 8 aro-
poe Tis Gy Tolas éotlv emuoTHuns TO dSiaTophoa Tepl THs 15
1059* 29-34, cf. 997 25-34 34-38, cf. 996" 21 —-P 1 30
14, cf. 997% 34 — 998" 19
228 avrny in marg. = 30 dndderkis € eorw EJT Al.: om. AP
ye om. EJ 32 7 Luthe (cf, 996? Io): a codd, Al. aodia
incl. Christ 33 7 om APALI, 7 Luthe: 4 codd. TAl.
34 add’... 38 dur ous susp. Bonitz 35 emnrovperny AP Al. :
Cyroupevny EJ ovre codd. Al.: ovde ci. Bonitz TO ov evexev]
Tov éevereyv twos A: 76 évexd tivos Al.: rd évexey rivos Eucken
36 Mine Noe AP SHE Leta Kove in marg. J D1 ov, kal
mepi T 2 ein ayip...3 oe) om. Sa 7 ay 7... etn in marg. habet:
i) el @s Tept Ta paOnuatiKa’ Ta pev yap etOn T 3 didre AP dos
Ab 6 re om. EJ 9 €xaora E? 11-12 (nrovow ai
paOnpwarikal AP 15 dy om. E}
TON META TA ®YSIKA K
J D1 ov, kal
mepi T 2 ein ayip...3 oe) om. Sa 7 ay 7... etn in marg. habet:
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Ab 6 re om. EJ 9 €xaora E? 11-12 (nrovow ai
paOnpwarikal AP 15 dy om. E}
TON META TA ®YSIKA K
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» a / n
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/ an
mepl amobdelEeds Te Kal emuotiuns’ Tept yap avrd Todro TO
tal ~~ /
20 yevos THY GiTnolv Totetral. AelreTav.Tolvuy THY TpoKErmevynV
y x >A Noe i a ,
pirocoplay mept avrav tiv oKéeww Toreioa. dvamopHoete
& dy tis ef det Octvar thy Cyrovpevny emiotnuny Tept Tas
apxds, Ta Kadotueva tnd Twwv oroixeia Tadra dé waves
evuTdpxovra tois avvbéros TiWeacw. padrdov 8 ay ddee
n lal >. , °
25 Tov KaOddov ely elvas Tiv Cyrovperny emioTHNY? Tas yap
Aéyos Kal Taca émuoThun TOV KaOdAov Kal od TOY ecxXaTwr,
vA 3 wv j\ iv na ‘4 na fa) XX 14 ’
or ein dv ottw Tav mpdtov yevav. Ttadra dé ylyvoir dv
, BY \ NS of a x / 3h, AN €
TO Te Ov Kal TO éy Tatra yap pddior av strodrynpbeln
meplexel TA OvTa TavTa Kal pddiora apxais eouxevar bia
30 TO €ivat mpOTa TH pice POapéevTwy yap avrév ovvavat-
aS \ SS a) \ BN \ me Ss x
petra, Kat Ta Aourd: may yap dv Kal ev. 7 d€ Tas bia-
a /,
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me >) > v3 a / / “4 3 > x ,
duapopa 6 ovdeula rod yevous peréxel, Tav’Tn 6 ovK av b0-
tal 3 / 3 ’ lan
fee dely atta riWevar yévn odd dpyds. éru 8 ef paddov
35 apX?] TO atAOveTEpoyv Tod iTTov ToLovrov, Ta 8 EvyaTa TOV
€x Tod yévous amhovotepa TSv yevav (drowa yap, TA yevy
0 eis €ldn mAclw Kal dia€povra diaipetrar), wadrddrov dy
apxy dd€evev eivar Ta eldn TOV yevOv. 7 Sé cvvavaipetrat
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10608 apx7) yap TO cvvavaipody. Ta pev ody THY dnopiay éxovTa
Tatra kal tovatr éorly érepa.
y , a ’ XX x > ed DY BA
Er. worepov det tievar TL Tapa Ta KaO’ ExaoTa 7 ov,
2 \ v3 € js 2 / r) \ a
GvAAG TotTwv H Cnrovpévn emioTipyn; GAA Tadra drewpas
2 2 \ x N eae 7 a oY yee 2)?
5Ta ye pay mapa ta Kal’ Exacta yévn 7 €lidn eoTiv, add
> / 7 € 4 an > U4 4, XS > oa
ovderépov Tovrwy 7 Cyroupevyn viv emiothyn. didTe yap adv-
vatov Tovro, elpytar. Kat yap bdrAws amoplay exe TéTEpoy
1059 21 — 1060 I, cf. 9988 20— 999% 23 1060° 3=27, cf. 999%
24— 24
> 17 avrois T 23 Tas Kadoupevas KE? 27 ylyvowr’ E
29 apxas T 31 wav A’ et ut vid. Al.: mavra EJT 32) elo
33 peréxer bis E 33 y’ ovk ci. Christ 37 «ldénom, E 38 ovvat-
petra AP: ouvavaipet te J 1060% 4 detpa] pOapra Al. 6 dude
AP Ale; dia iT: 8 6 EJ
I. 1059516 — 2. 1060) 2
999%
24— 24
> 17 avrois T 23 Tas Kadoupevas KE? 27 ylyvowr’ E
29 apxas T 31 wav A’ et ut vid. Al.: mavra EJT 32) elo
33 peréxer bis E 33 y’ ovk ci. Christ 37 «ldénom, E 38 ovvat-
petra AP: ouvavaipet te J 1060% 4 detpa] pOapra Al. 6 dude
AP Ale; dia iT: 8 6 EJ
I. 1059516 — 2. 1060) 2
def Twa broAGBEiv oioiay elval xwpioTiY Tapa Tas aicOnrds
beer \ \ a XN + > Ns te) EN \ yy \
ovoias kal tas dedpo, 7) ot, AAA Tab? ecivar Ta OvTAa Kal
\ na NX Dn € tal XN Ds i Sey A
wept tadta tv codpiay timdpyew. Cyrely pev yap eolkapev
” t \ x / Co ae ae. con / XS
GAAnv twa, Kal TO mpoKeluevoy Totr ~oTw hytv, éyw Oe
A - nn A > CN \ \ lal > a
TO ldety ef te xwpiotov Kad ard Kal pydev! rdv alcOyntov
A Dy > by x iS > Ss Se By ere
Drapxov. e710 ef Tapa Tas alcOnras ovoias gor. Tis Erépa
ovola, mapa molas Tov aicOntGy det TiWWévar Tatrnv eivar;
vA ‘ iy \ \ 2 / XN \ oe aS n
Ti yap padrdov rapa rods avOpemovs 7) Tovs immovs 7) Tov
BA / / Herb. BN \ nan > / v4 ,
drwy (wv Ojnoe tis adriy 7 Kal TOV aWixwv bros; Td
\ y tay b] a x val tN Ee A Dens
ye pry toas tats aicOnraits «al POaprais ovcias didiovs
ey) lA a \ fas b) 4 Me *
erépas kaTackevace exTos Tov etAdywv ddkevey av aiarew.
el O& pa) X@pioTn TOV cHopdTav 7 Cyrovpuern viv dapxn,
tiva dy tis GdAnv Oein paddov tis Ans; atrn ye pip
evepyela pev ov« ort, Svvduer 8 EoTrw. padddv 7 ay dpyn
Kupiatepa tavrns dd€erey eivat TO €idos Kal ) popdy* Todro
de POaprdv, dc Sdws odk EoTW Aldi0s odcia YwpioT? Kal
> ts 27 PH > YA of \ \ tal NX
Kad’ avryy. add’ dromov: éouxe yap Kat Cyreirar oyxeddov
imo TOV XaplecTAaTMY ws odTd TIS apX} Kal ovola ToLatTn:
TOs yap otra Ta€is py Tivos dvTos didlov Kal xwpioTod Kal
pevovtos; étt 0 elmep gore Tis ovata Kal apxi Tovadrn Thy
ptow olav viv (yrodyev, kal atrn pla mdvrwv Kal 4 adrh
a be \ an 9 / BA x f ”
TOv didlwy te Kal POaprdy, amoplay yer bia th more Tis
avTns apxis ovens Ta pev eorw didia Tov bTOd Thy dpyny
Ta 8 ovk dldia (rotro yap dromov): «i & GAAn péev eotw
apx}) Tav POapray GdAn Se Toy didiwv, «i pev aldios Kal
, \ 7 ~ bf Sens
h Tév POaprav, dpolms amopjoopev (dua th yap ovk didfov
Bs a » \ He Ky N 2 N >) a >
Ths dpxijs ovens Kal Ta vd THY apxiv ald.ia;) POaprijs 6
ovons GAAn Tis apx7 ylyverar ravrns Kaxelyns érépa, kal
nd ’ 4 3 > on x 4 >
tobr els dmeupov mpdcow. «i 8 ad tis Tas doKxovcas pdALoT
apxas axwyrovs civa, 76 Te dv Kal TO ev, Onoel, mpOTov
pev ei pn Tdde TL Kal ovolay Exdrepoy aiTav onyualver, TOs
eoovrar xwpiotal kal Kad adrds; rovatras dé (ytobmev ras
1060% 27-36, cf. 1000% 5 — 1001% 3 36-109, cf. oor? 4 —
1oo2) II
412 dey AP 17 ovolas Christ 19 vodv eoriy apxn EJT
20 dAnv tg APT paddov Oe'n AP 26 kai alt. om. E 28 7
avr] avin AP 31 ovK didia] ov. kal AP 33 didva A»
34 apxny didia JT: apyxiy ovk aidia E: aidvoy AP
30
35
1060)
TON META TA ®YSIKA K
SeeQ/ \ / > / ” X 4 \ Deaf
Gidtovs te kal mpdtas dpxds. eb ye py Tdéde TL Kal odotar
éxdrepov adttrdy Syndoi, ravr early ovolar Ta dvTa: Kara
/ \ \ aA lal ’ 9 EF Ss \ \ a
kal AP 33 didva A»
34 apxny didia JT: apyxiy ovk aidia E: aidvoy AP
30
35
1060)
TON META TA ®YSIKA K
SeeQ/ \ / > / ” X 4 \ Deaf
Gidtovs te kal mpdtas dpxds. eb ye py Tdéde TL Kal odotar
éxdrepov adttrdy Syndoi, ravr early ovolar Ta dvTa: Kara
/ \ \ aA lal ’ 9 EF Ss \ \ a
g Tdvrwy yop TO dv Katnyopeira (kar? éviwy b& Kal TO €y),
ovolay & civar mavta Ta bvTa Webdos. eri S€ Tols THY TpPO-
SEs aN \ L \ AW 8. Ne 2 S 1. 16 \
THY apxnv TO ev A€yovor kal TodT odolav, ex 5€ Tod Evds Kal
ths tAns Tov apiOusv yevvGou mpOTov Kal Todroy ovclay
> ny 3 / \ , b) XS a
pdckovow etvar, mds evdexeTrar TO Aeyopmevoy adyOes Elva;
1oTHY yap dvada kai Toy AoiTaV ExacToy apiOuav TOV ovP-
, an a& a Lad \ / \ + / ION
Oérwy TOs ey Sel vojoa; Tepl TovTov yap ovTE A€yovow oddev
id la \
ovre pddioy eimely. el ye way ypaypds 7) Ta TobTwy éxdpueva
\ a
(Aéyw 8& emiavetas tds mpédras) Onoer Tis apxds, Tadra
¥ ovk eloly obolat xwpioral, roual S& Kal dvaipéoers ai pev
15 émipaverav ai d€ cwpdroy (ai d& orrypal ypayper), ere
dé mépara Téy aitév tovTwy: mdvTa de Tadra ev addows
a I \ BY SO / b) wy na > 4 € o.
tmapxet Kal xwpiorov odvdey eoTw. eri THs otolav rodaBeiv
eivat det Tod évds Kal oTiypns; ovolas wey yap Taons yeveois
éort, ottypas 8 ovk €oTw* dialpeois yap 1) oTLypyH. Tapexer
208° dmoplay kat TO Tacay pev emuotHyny elvar TGV KabddoVv
\ cel / ‘ ’ > vd ‘\ cal , >. c
kal Tov ToLovdl, THY 5 ovolay pr Tv KaOoAov elvat, HaAAoV
d& Téde TL Kal xwpioTdéy, Bor ei TEpl Tas apxds eoTw em-
, nt tal \ > XN € tal Bee o ot ,
oTHn, TOs Sel THY apxnv brodaBety ovaiay ctvat; ert md-
\ a
Tepov éoTl TL Tapa TO ovvoAOY 7) od (Agyw SE THY BAnv kal
\ a. , A ’ S x / J J a \
a5TO pera TavTns); ef pev yap py, Ta ye ev tAn pOapra
mavrar el & éore Tt, TO eldos av ein Kal ) poppy: rodr
be 32 2h 7 é \ , eet / + \ > / + sk.)
ovy emt tivey gor kal éml tivwy od, yademov adopioau ér
\ o rs
éviwy yap djdov odk dv xwpioTdoy Td €tdos, ofov oikias. ért
LN an na
mérepov ai apxal elder 7) dpiud ai airal; ei yap dpibye
30 €v, TaVT Eorat TavTd.
> \ 92 9 \ € a ja 2 , a x Seen.
Enel 0 éoriv 7 Tod pioodpov émoriun tod dvros 7 dv 3
1060) 19-23, cf. 10037 5-17 23-28, cf. 999%24-24
28-30, cf. 999” 24 — 1000* 4 Capes; ch Dimi
>3 reom. A> ~~ ovaiay kai rdde re AP sg city AP: Zora ex Al.
ci. Bonitz ovoia JT 8 ray E} 10 dpOpov E1JT
14 y yp. J: & EJY: yap A» pev yap A» 16 dmavta AP
21 rotovdi APAI.: rovodde J: rood d€ E 6’ om. AP 28 ovk
ov] kav AP 29 7) om. J 30 €y APA]: om. EJT ratra
A”: roaidra E: om. ut vid. Al.
2. 1060 3 — 3, 1061% 26
KaOddXov kal ov Kara pepos, TO 8 Ov ToAAaY@s Kal ov
Kad’ éva éyerar tpdmovr ef pev ody Suwvipws Kata 6é
Le eae | CaN 2 / > A a ,
Kowdy pndev, ovk Cot Ud play emiotHuny (od ydp ev yevos
TOV ToLovTwr), ef 5€ KaTd TL Kowwdy, ein dv tnd pilav emioTH-
€olxe 51) Tov elpnuevov A€yeoOat TpdTmoV KabaTep TO
te larpixoy kal dyewov' Kal yap tovrwy éxdtepoy modAa-
XGs Adyouev. d€yerat dF Todroyv roy Tpdrov Exacrov TS Td
XX \ \ > XN 3 , > , la BS S x
Mev mpos THY larpiKiy emiorhuny avayecOal mws Td Se mpds
vyleay TO & GAdAws, mpds TaiTd 8 Exacrov. iarpixds yap
, \ 7 L he x N WAN yg a
Adyos Kal payatpioy A€yerau' TO TO pev amd THs larpixhs
3 /, x 4 > pd 3 Ki
yveoOar. Kat yap «i pi) TavTov AAAo O eotiv, avriotpEeder
/ SS NR, + BY ¢ > \ ve ame) \ ~
ye: TO Te yap ey Kal dy Tws, TO Te Ov Ev.—erel 8 eat Ta
évavtia mavTa THs aiths Kal puas emuothuns Oewpjoa, ré-
yetar 8 €xaorov avrav Kata orépnow—kalror y evia amo-
pyoere Tis Gv TOs eyera KaTa oTéepnow, ov eoTW dva pe-
A e) ? DY 7 \ fe AS hes
gov Tl, Kadamep adixov Kal dtkatov—7epl tavtra by Ta
a \ / cal / X cal 4 / lal
Tolatra THY oTEepnow det TiWEvar fun TOD GrAov Adyov, Tod
redevtaiov dé eldovs ofoy ei éotw 6 dikatos Kal? &&w tia
Q lal , 2 yf (ae w a
meapxikds TOls vduols, ov TavTwWS 6 AdiKos €oTaL Tod bAov
, 16 \ \ X Md fal , b]
oTepovpevos Adyou, Tepl Se Td TElMerOar Tols vdpors exrelTav
b 37 re om. AP kat pr.] kal rd AP 1061° 1 )eydpevoy AP:
om. T° 67 A» Tovtay Tov rpdrav Al.: rév rpdrov EJT
8 ra yap rod EJTAI.: rod yap A? 10 éyerat eivar AP
II Kown dvaywyy AP All} 12 kat AP Al.: kat tas EJ 14 kai
avopotdtns bis E 18 &] kai év E? 24 6¢ codd. Al.¢: om. Al.
6 Sikatos 6 Al. kara webeky AP 25 rov AYT Al.: 6 rod EJ
26 orepduevos J
2578.2 G
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5
25
35
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20
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10 éyerat eivar AP
II Kown dvaywyy AP All} 12 kat AP Al.: kat tas EJ 14 kai
avopotdtns bis E 18 &] kai év E? 24 6¢ codd. Al.¢: om. Al.
6 Sikatos 6 Al. kara webeky AP 25 rov AYT Al.: 6 rod EJ
26 orepduevos J
2578.2 G
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TQN META TA ®YSIKA K
si Nd € / € ei % fal ‘ > \ 2S ,
7, kal tatty 1) orépnows brapéer adr: rov avroy Se Tpd-
mov kal ént Tv dAAwv.—xabatep 8 6 pabnuwartixds Trepl
a I
ra @& apapécews tiv Oewplay movetrar (mEepieddav yap mavTa
Ta alcOntd Oewpel, oiov Bdpos_kal kovpdtnra Kal oKkdAn-
'? \ 3. ‘3 at \ \ 4, \ 4
pornta Kal rovvaytioy, ert 8€ Kal Oepudrnta Kat Woxpdrnra
kal tas GdAdas aicOyrds eévayTidcers, povoy d& KarTa-
Nelmer TO Toody Kal cuvexes, TOV pev ef ey Tav F em
dvo trav 0 én rpla, kal Ta TaOn TA ToUTMY 4 TOTd eoTL
kal ouvexf, kal od kal? érepdv Ti Oewpet, kal Tov pev Tas
mpos GAdAndAa Oéces okoTe? Kal ta Tatras tmdpxovTa,
a ‘N x / \ >) - lel % \ /
Tov S& Tas cuppetplas Kal dovppetpias, Tav d& Tods Ad-
3 > ia la 4 SN XN St he) eI
yous, GAN spos play advrev Kal tiv adriy TiOewev em-
TTHUNY THY yewpeTpLKyY), TOY adTov by Tpdmoy exEL Kal TEpl
, ¥ ‘ ” 9: \ La \
TO 6v. Ta yap TotTw ocvpBEBnKdTa Kal? doov early dv, Kal
\ by , Bs a My B IN b) lo ") eS tho
Tas évarvTi@cers avTod 7 dv, odK GAANS emLoTHuNs 7) ptAoco-
dias Oewpfca. TH voix pev yap odx 7 OvTa, paddov
pra. Ti f) per yap odx 7 ,#
ay / / \ 7 2 “4 x ey
0 7 Kuwyoews peréxer, THY Oewplay Tis amovelwerey ay 1
\ a \ c X ny 4 /
ye pv Siadextix) Kal 7) codotixy TOY cvpBEBnKOToY pev
5 al a b ey) ¥ INN Ni Nem 8 Df IN + Nal
clot Tots dow, ody 7} 0 dvTa ode TEpi Td dv adTO Kal? doo
dv oT: wate delteTat TOV pirocdsdory, Kad” dcov dvT eoriv,
~ \ \ / 4 > \ s 4 By ef
elvat mepl Ta AEXOEvTa Oewpynrikoy. Emel S€ TO TE OV aTaV
ka@’ éy tL Kal Kowdv d€yerar ToA\AaXGs Aeydpevor, Kal
tavaytia Tov airov Tpdmov (els Tas mpdtas yap evaryTioces
\ ni a y 2 / \ Ss Lo} \
kal dtapopas tod évros dvdyera), Ta d& Tovadra dSuvaroy
ie SN s > / AN. uA b) € 2 eee \ 3
b7d play emiotiyny etvar, diadvour dv 1 Kar’ apyas amo-
pla exOeioa, Néyw 8 &y 7 SinTOpEiro Tos Evra TOAAGY
kal duaddpwr ovtwrv TO yé la emrloTH} eTel O& Kal
pépwv dvrwy TO yéver ula Tis emoTHpn.—emeEl dF Kal
6 paOnuarikds xphrar trots Kowots idlws, Kal Tas TovTwy
\ lad a
apxas ay ein Oewpioa tis mpetns pidocodias. bri yap
2d aN fal y ¥ 2 iy ” x , nN
amo TOV icwy town apaipeOevTwy toa Ta ELTOMEVa, KOWOV
Cap. 4, cf. TP. 1005* 19 —”
497 » EJ Al’: om. A» imdp§er aite EJ Al.: aire imdp&er A:
Umapxer ad’to T 31 kai pr. om. EJr 32 ddXas] a\Xas Tas
EJ et ut vid. Al. ba dhos Ab 3 6) om. EJt 7, éxet
IND cirove petey £ Ab 8 7 A> Al. : : om. EJ 10 oy] é dvrws
yp. E dvr’ E (duabus litteris post r erasis) TAl.: Gyros J: obros
Ab 14 dvdyerat om. T 20 icwy alt. EJT Al.: om. AP
3,. 10619 27 — 5. 10629 14
om. EJr 32 ddXas] a\Xas Tas
EJ et ut vid. Al. ba dhos Ab 3 6) om. EJt 7, éxet
IND cirove petey £ Ab 8 7 A> Al. : : om. EJ 10 oy] é dvrws
yp. E dvr’ E (duabus litteris post r erasis) TAl.: Gyros J: obros
Ab 14 dvdyerat om. T 20 icwy alt. EJT Al.: om. AP
3,. 10619 27 — 5. 10629 14
/ i) aN / na nn e ‘\ > b
ev €oTW eml TaVTHY TOV TOTor, 7 paOnuaTiKy OS amo-
AaBodoca epi Ti pepos THs olkelas VAns Tovetrar Ti Oewpiav,
ot sy ry BD 7 aby 8) \ BN a n
olov mept ypappds 7) yovias 7 apiOyovs 7 TOV AoTGV TL
n B} se Ne 2 el \ TEN ef pi ie
TOTOV, OVX 7} 6 ovTa ddA n VVEXES aUTaVY EKacTOoY Ep
A a7. od Ha ISS z Nea Y , , @
év i) dvo0 7) Tpiat 7 S& idocodia wept TGV ev pepeL pev, 7
,. ey , > tal \ XX OK
TOUTM@Y EKATTH TL TUM BEBNKEY, OV OKOTEL, TEpl TO OV de, 7) OV
TOV TOLOUTwY ExacToV, Dewpel. Tov airoy d exer TpdToV Kal
\ X XN b] , an a \
Tepl THY pvoiKny emoTHnY TH PaOnuaTiKi Ta ocvpPBEBn-
Kota yap 1 vorxi) Kal Tas dpxydas Oewped Tas TOY dvT@V
ic , \ > @ y LN he as > / 2
¥ Kwotpeva Kal ovx 7 dvta (Tiy be TpaTyY elpijKayev emt-
/ ryt ae)
oThpny totrwy eivar Kka@ bcov dvtTa Ta broKeievd ect,
y} > > @ ¢ / \ \ fe: \ ne X\
adr’ odx 4 Erepdv t1)* dd Kal radrnv Kal Thy padnparuKyy
/ Vd Lal a
emuoTHuNY pepyn THs codias elvat Oeréov,
5 “Eoru d€ tis ev Tots odow apy) mept ty ov eoru due ed-
w0at, rovavriov 5@ dvaykatov del Toelv, A€yw SE AANOevEW,
o > 3 / x ia 2S PBN. J ‘ A SSS ,
otov bru ovK evdéxeTat TO adTd Kal Eva. Kai Tov adrov xpd-
vov eivat kal pH elvat, Kal TadAa Ta TobTov avrots davTl-
kelweva TOV TpdTOY. Kal Tepl TOY ToLo’TMY aTAGS [MeV OK
x 2 / \ / So > S yx > if
éorw amdderéis, mpos TOVdE b€ CoTLY: Od yap EoTW ek TLTTOTEpas
. lal ) nn - lg /, tal "4 >
apxns avtod rovTov Toijocacda. avddoyiopov, det dé y
elmep Cota TO GmAGs Arodedelx Oar. mpds 5& Tov A€yovTa
my b) ta / lal uA , n /
Tas ayTikepevas paces TH OerKvdvT. didt. Weddos AnTTEoV
tT Towodroy 6 TatTd pey ora TH pH evdexerOar TadTd evar
kal pr eivar kal? éva Kal tov atrov xpdvov, py ddfeu
> > rg 4 ~ , » pt Z \ \
elvat TavToy' ovTwM yap povws av amodetxJein pos Tov
, >} J >s eae: / / b) 4
pacKovra evdexerOar Tas avTiKemevas paces adnOever Oat
Kata TOO avrod. Tovs 6 peAAovTas GAAHAOLS Adyov KoOLWw-
lal / n an
moew det TL TvVLEVAaL adTOV" pH ylyvouevov yap TovTOV THs
€orat Kowwwvia TovTors mpds aAArjAovs Adyou; de? Toivuy TOV
dvowdtwv exacrov civat yvepysov kat dndody Ti, Kal jar
1061» 34 — 10622, cf. 1005> 8-34 1062? 2-5, cf. 10068 5 —
18 5-19, cf. 1006* 18 — 10072 20
bor émtiom. Christ rav rooéy fort. om, Al. 26 éxaorwy AP
me Ti Al.: ri codd. 31 ra om. AP 32 70m. EYP érepa
Tt yp.» J: érep’ drra yp. E 34 éore alt. EJTAI.: eora Ab
1062*1 atrois Brandis: avrots EJAT 4 avddoyiopdv AP Ale:
Tov ovrdoyiopov EJ 5 éore J 8 d6&n AP: ddéete yp. E
Q povos AP 12 avrdy Al.i: atréy codd. T 13 €or rece,
et ut vid. Al.; gore EJA*T
G2
dS
on
4
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35
E 34 éore alt. EJTAI.: eora Ab
1062*1 atrois Brandis: avrots EJAT 4 avddoyiopdv AP Ale:
Tov ovrdoyiopov EJ 5 éore J 8 d6&n AP: ddéete yp. E
Q povos AP 12 avrdy Al.i: atréy codd. T 13 €or rece,
et ut vid. Al.; gore EJA*T
G2
dS
on
4
(e}
15
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35
1062»
TON META TA ®YSIKA K
> > sf
Toda, povor d€ Ev dv d= TAclova onualyy, pavepor Tovey
a a an b
ed’ 0 hépet rovvona rovrwy. 6 dF A€ywv evar ToBro kal pr)
an a>
eivat, Todro 6 gyow od dnow, BoP 6 onpatver Tovvoya TodT
v v cal eA ue) / e > 4 7
ov nor onualvew: Trodro 8 advvaroy. war elmep onpatver TL
. J
TO elvar Tdde, THY dvTipacw Gdbvaroy aAnOcdew. ert BF Et
TL onpalver Tovvoua Kal Tobr’ GAnOeverat, det Todr ef dvdyKns
‘\ >
elvaue ro 8 e& avdykns dv ovK evdéxeral more pa etvat
Tas dyTiKeévas Apa ovK evdexerar ddces Kal amopdces
dAnbevew xara tod avrod. érr 8 ef pyOev paddrov 7
\ x
gacis i) amddacis adAnOedverat, 6 A€yor dvOpwroyv 7
ovk GyvOpwroy od0ey padrdrov adnbevorer dSd€ere 5 Kav Odx
i » A »” EN a XA > @
immov eivar ddoxwv tov dvOpwroyv 7) paddov 7) odx ATTOV
\
ddndeve 7) otk GvOpwrov, Sorte Kal tnmov pdoxwy etvat
Sts BIEN 2 / \ aye a y eer, a 4
Tov avrov adnOevoe: (Tas yap avTikeysevas dpolws jv dAn-
deve) ovpBatver tolvey roy advroyv dvOpwrov elvar Kal tamoy
A n I
7) TOV GAAwY TL @av.—amddelEis ev ody oddeula TovTHY eoTly
amd@s, mpos pévto. Tov Tadra TiWeuevoy amdderéis. TaAXEws
0 dy tis Kal adrov tov “Hpdkdeirov totrov épwréy tov
tpémov ivayKacey dpodroyeiy pndémote Tas avTiKeysevas
J \ > \ a Chase b) 4 s >
gaoes duvarov etvat xara tov atrév adnbeverOav viv d
ov ovpviels Eavtod ti more d€yet, Tadrnv ehaBe THY dd€ay.
bdws 0 ef TO Aeydpevov bm’ adrod éoriv ddynOés, odd av adrd
tobdro ein adyOes, A€yw be TO evdexeoOar TO adTo Kal” Eva
N et eX , Oy id \ \ LS t x
kal Tov advroy xpdvov elvai te Kal py) elvarr Kabamep yap
kal dinpnpevwr adtGy ovdey paddov 4 xatddacis 7) 7) ame-
NPNM. PGAANOV 7 q 7
DJ / \ (Heh , a
acts adnOedverar, tov adtov Tpdmov kal Tod cvvapyorepov
kal Tod ovupmemAeypevov KabdTep juas Twos Karapdcews
vad xX
ovons obey padrdAov (7) H ardpacts [i] 7d GAov os ev Karapdcer
1062 19-23, cf. 1006» 28-34 23-30, cf. 1007” 18 — 1008* 2
31-35, cf. 1005> 23-26 36-7, cf. 1008* 4-7
815 melo AP 16 ravro Apelt 17 6 AY et ut vid, Al.:
5 ddos eivai EJT 17-18 rovrov gnoiy J 18 rovrov J
19 ddvvaroy adybevery] adn Bevery advvaroy Kata Tov avrod EJT 20 dei
AP et ut vid: Al.: det kai EJT 21 wore... 22 evdexerat] Tore
... evdéxerat bis E 22 Kat dropaces om, AP 26 3) pr.] Kai
jr 27 om. E} 32 eporay APAL: epornoas EJ 35 ovriels
AY yp. E Ale: re EJ = avrov AP Dy eln ddynbés AY All: adn bes
em EJT an)aJ 5 revos puas AP 6 an pide NTTOv
andgaots 7p? ss "3 didi 7) seclusi
5. 1062415 —6. 1062» 34
22 evdexerat] Tore
... evdéxerat bis E 22 Kat dropaces om, AP 26 3) pr.] Kai
jr 27 om. E} 32 eporay APAL: epornoas EJ 35 ovriels
AY yp. E Ale: re EJ = avrov AP Dy eln ddynbés AY All: adn bes
em EJT an)aJ 5 revos puas AP 6 an pide NTTOv
andgaots 7p? ss "3 didi 7) seclusi
5. 1062415 —6. 1062» 34
2 a
TWWeuevov GAnOevoera. ere 5 ef pnOev Eotw aAnOds KaTa-
lol d SeeEN a a x A ff y
pnoa, Kav avto todro wWetdos «ln To gavat pndeuiay
3 fed J c , > by ot , Sages \
adnOn Katapacw vnapxyew, ¢i 8 ot. TL, AVOIT GY TO
Aeyomevoy t7d Tv Ta Toladra evioctayévwv Kal mavTeAds
dvaipotvTwv Td diadéyeo Oat.
TlapamAnowv d& Tots elpnuevors eoTl Kal Td AeyOev tro
tod IIpwraycpov: Kal yap éxeivos épn mdvtwv civar xpn-
/ / Q cal
Matwv meTpov avOpwrov, ovdev Erepoy A€ywv 7} TO SoKodY ExaoTH
TovTO Kal elvat Taylws* TovTov O& yryvowevov TO abTd oup-
Batver Kat eivar Kal pa) evar, kal Kaxdv kal dyaOdy civat,
A Ly X \ \ > / ,
kal TaAAa Ta KaTad TAS GvTLKEemevas Aeyoueva doers,
\
dua TO moAAdKis Todt pev daiverOar Tdde civar KaAdov
\ ‘x > / / ? a \ Pf c y
Towwdl b€ TovvavTiov, méeTpov O° Elva TO awdouevoy ExaoTY.
v > of LD 4 ra , 2 / Se X
Avoito 8 ay atrn 7 amopia Oewpnoac. Tdbev EAnAvOev 7) ApXr)
THs DmodnWews TavTns: ore yap eéviow pev ex THS TOV
, e lal lal ’ b) an ‘\ ) \ \
provwrdywv ddéns yeyerncOa, Tols 8 ex Tod pi) TavTa Tept
fal a na ed uA > \ lal X « \ ,
TOV avTGv amavtas yryvdoKel AAG ToiTdE pEV dU TOE
f tal X >) ys x X Ne i ‘ ”
patverOat totcde d€ Totvavriov. +d ydp pndey EK pi] OVTOS
f. va 2) 5S. x \ ia / 2 \ x Us
yiyverOa, wav 8 e& dvtos, cyeddv amdvtav éotl Kowdv ddy-
pa TOv Tepl pioews: eel ody ov AEvKdY ylyveTaL AEvKOD
TeA€ws ovtTos Kal ovdayh pr AevKod [viv Se yeyevnuevov
a) yeyernys
x / / Lic 3 Ei yy. lal A , ON
un Aevkov], ylyvour’ dv éx pa) dvtos AevKod Td yuyvdpevov [yi)]
Aevxov: Hore €k pa) dvtos yiyvoir’ ay Kar’ éxelvous, ed i
€ Led DY x >’ A \ \ , b) \ ‘
umnpxe AevKoy TO avTd Kat pr AEvKdY. Ov yXadreTOv bE
duadAvew THY Gmopiay ravtnv: elpntar yap ev Tols dvatKois
TOs ek TOU pa ovTos yiyveras Ta yuyvopeva Kal TOs ef
ovTos. TO ye pay dpoiws mpooéxew Tails ddé€ais Kal rats
iA nr A t \ / LA lal
pavtaciats TOV Tpos avrovs diaygioBynrovvTwy evnOes* Od7j-
1062 7-9, cf. 1012” 13-18 12-24, cf. 1009* 6-16, 22-30
24-33, Cf. 1009 30-36 33 — 1063* I0, cf. 1010” 1-26, Io 1 31-34
b7 dAnbes €ora EJr: adn Oeverat Alle adndes Al.¢ 13 ¢ha
Ab 13-14 xpnpatop eivar AP 14 Tov dyOpomoy E17 aces
Aeyopeva EJT 20 eAnhuGev ¢ om. A> Al! 23 dwavra A> roiade
AP AL: rocdi EJ 24 tois EJ : rou di recc. 25 Kowoy éort
Ab 27 tedkews AAI. : redeiws EJ vov...28 Aeukdy et 28 wy
codd. T Al.: susp. Bonitz 28 AevKou EJA® AL. : pp AevKod YP.
Er 30 Acuxdy .. . kal px) AYAL: pa AeuKov.. kai EJT 33 Tats
pr AP AL: pete tais EJT 34 avtots AX dua Bnrowvray
AP AL
35
1063?
5
TON META TA ©YSIKA K
25 Kowoy éort
Ab 27 tedkews AAI. : redeiws EJ vov...28 Aeukdy et 28 wy
codd. T Al.: susp. Bonitz 28 AevKou EJA® AL. : pp AevKod YP.
Er 30 Acuxdy .. . kal px) AYAL: pa AeuKov.. kai EJT 33 Tats
pr AP AL: pete tais EJT 34 avtots AX dua Bnrowvray
AP AL
35
1063?
5
TON META TA ©YSIKA K
Aov yap br. Tovs Erepovs adrdy avayKn die\redoOat. havepov
de Tobr ex TOY ytyvouevwn Kara THY aloOnow: ovdéroTE yap
TO avro datvera toils pev yAvKY Tols d& Totvaytiov, pH
s lal /
diePOappevoy Kal AcAwBynpevov. tv. éErépwv Td alcOnTHpLov
Kal KpiTipioy-TGv-A€XOevT@V XUUGV. TovTOV 8 dyTOS ToLOTOV
\ € / x € / P > \ > » >
Tovs ETEpous pev UToAnTTEOY pLEeTpOV Elva TOUS 6 GAAOUS OVX
i Uf € i S fay t \ AN -5: fa) \ a
broAnmTéov. dyolws d€ TotTo A€yw Kal éml dyabod Kal KaKod,
\ lal \ , lal A a + an A Or
kal Kadod kal aicypod, kal Tay GANwv TGV ToLodTwv. ovdev
yap diaéper Todr aEwby 7) Ta hawdpweva Tois b7d THy ow
dmoBdAdAover Tov SdxTvAOV Kal ToLodcw ex Tod éEvds aiver Bat
dv0, do bety civar did 7d haiverOar Tocadra, Kal madw Ev:
10 Tots yap ja) KivodoL THY Ow ev hativerar TO Ev. GAws Be
15
20
25
dromov ex Tod daiverOar Ta dedpo petaBaddovTa Kal pnde-
more Ovapévovta é€v Tots avrois, éx TovTov mepl Ths dAy-
Oeias tiv Kplow movetcOar Set yap ex Tov del Kata Taira
éxdvtwy kal pndeulay peraBodrjy Towvpevoy tarnbes On-
pevew, Towra 6 éotl Ta Kata Tov Kdcpov' Tadra yap
lal ‘ \
ovx Ore pev Toladl madAw 8 dAdAota dalvera, raira &
aN \ an ’ a fay y+ ? rs 2
aet Kal peTaBoAns ovdemias KoWwvovyTa. ETL O EL KlVNOLS
€oTl, Kal kivotpevov TL, Kwelrar 6€ wav €k Twos Kal els TL
del dpa Td Kwovpevoy eivar ev exeivw e€ oF KivyoeTaL Kal OvK
elvat év avr, kal els Todt KiwetoOar Kal ylyvecOar ev TovTo,
x X \ x > r ‘\ 4 5 > /
TO 0€ KaTa THY avTipacw pn ovvadnbeverOar Kat avTOvs.
kal el Kata TO moody ouvexGs Ta dedpo pel Kal kiveirat,
- al re i > > S y SS "2 \ x x
kat 11s Todro Oeln Kaimep ovK aAnOes Ov, did TL KaTa TO ToLdY
od pevel; dalvovrar yap ody Kita TA KaTa Tas avTipa-
gels TavTod KaTnyopely ex TOD TO Moody Hrewynpevar py pe-
ve emt TOY cwopudtav, 616 Kal elvar TeTpamnxv TO adTo
\ > L. € ’ Me \ 4 , cal \ n €
kal ovk elvat. 7 8 ovola Kata 7d moldy, TodTO b€ THS wpt-
10637 10-17, cf. 1o10# 25-32 17-21, cf. 1o10® 35 — 1
22-28, cf. 10102 22-25
pnde Ab 4 adXous] érépous EJ 5 kal kakov om.
10637 I
Ab 7 tovr|rov AD 9 dvo semel JT dciv JT: OE
A>: 7 i Bonitz: incl. Christ om. A? 10 dye eupaiverar AY
14 éydvrev EJT Al. : dvt@v AP 16 rodde EJ 19 év
A>Al1-¢ et ut vid. Al: ere év EJT ovk] py) AP AI, 20 7dde A
21 ovvarynOevecOar AP Al.: adnOevecOa. EJT Al.° 24 pevet
Richards, legit ut vid. Al.: péveccodd. daiverac J 25 ravrou
EJVAl.: avrod AP 26 dia ro kat EJ 27 de] ye J: yap A»
6. 1062» 35 — 1063 19
/ -, x aS X ced > , ¥ \ /
opens pioews, TO b€ ToTdY THS dopiotov. ET. bid Ti Tpoc-
rattovtos Tod iarpod Tod) TO citlov mpocevéyxacbar mpoode-
Al.: péveccodd. daiverac J 25 ravrou
EJVAl.: avrod AP 26 dia ro kat EJ 27 de] ye J: yap A»
6. 1062» 35 — 1063 19
/ -, x aS X ced > , ¥ \ /
opens pioews, TO b€ ToTdY THS dopiotov. ET. bid Ti Tpoc-
rattovtos Tod iarpod Tod) TO citlov mpocevéyxacbar mpoode-
lal a \
povtat; tl yap madAov Tobro dptos éotivy 7 ovK eoTWW; wor
> a aA lal a
ovdev dv duexor payeiy 7 wy hayeiv: viv 8 ws ddnOedvovres
TEpl avTo Kat dvTos Tod mpooTaxOévTos citiov TovToU Tpoc-
pépovtrat todro: kalro. y ovK ede. pi) Siayevovons taylws
tt ft rs tal > cal LS > pe lol
Mnoemias pioews ev Tots alcOntols GAN del macdy KwvoDv-
/ a
Méevev Kal peovodGy. eri d ed pey dAdAolovpEOa det Kal pyndé-
if € > 7 vA X ’ , >
mote Otapevouey of avtot, ri Kal Oavyaorov ef pndem0d
npiv raira galyera kabdmep Tois Kdyvovow (kal yap Tov-
AS A ‘ € 4 tal AS e \ “7a? c 4
Tous Oia TO pi} Oumolws SiaKxeloOa tiv ew Kal 60 dyiawor,
> 4 x \ \ ? / SN x bY
ovx Gpota patverar Ta Kata Tas aicOyoes, aiTa pev ovde-
pias bud ye Todro peraBoAfs Kowwvodvta ta aicOnrd,
aicOnuara 8 erepa mowdvta trols Kdyvovot kal jy TA adra:
Tov avrov oi) tpdmov éxew Kal rhs elpnuevns petaBorjs
/ 2 [awa 5) C) \ SS /
ylyvouerns tows dvayxaidy éotw); et b€ pay peTaBdddopen
b 2 ¢ 3 NX a wy yy » / \ x
GAX ob avTot diaTEeAOdMEY OvTES, Elin GY TL MEVOY.—TpPOS EV
> \ 2 4 = ? / 2 Vg wo. > e75
ovy Tovs &k Adyou Tas elpyuevas amoptas ExovTas ov pad.ov d1a-
doar pn TWevtTwy Te Kal TovTov pynKéTL Adyov amatrovyTw:
+ x vad a \ ia We yp A N
otTw yap mas Adyos Kal maca andderéis ylyverar’ pnOev
\ / 2 an \ / Vo / iva
yap TiWevTes avaipodor TO dvadeyerOat Kal GAws Adyov,—doTE
Tpos MeV TOvS TOLOVTOVS OVK eaTL AdyoOS, TOs SE TOYS SiaTropody -
Tas ek TOY Tapadedopevay amopidv pddioyv amavTay Kat d.a-
Avew TA ToLodvTa THY amoplay ev avrois: dhAov 8 &k TeV
elpnuevwv. ote havepov éx TovTwy Ott ovK evdexeTar Tas
> f \ a = lal > ef. / o) uA
avrixeipevas pacers Tepl TOO avTod Ka eva xpdvov ddnOevew,
Dr A) f x \ J x / fa) 2
ovde Ta EvavTia, dia TO A€yerOat KaTa oTEpHoLW Tacay Evav-
/ -’~ X\ ot Se pot ae ‘\ \ 4 > vA \
Tidrnta: SjAov dé Todr’ én’ apxnv Tos Adyovs avadVvovor Tovs
ny ss s PY / Od or
TOV EvayTiov. opoiws d ovde TOY ava seo ovdEeY OioV TE
1063 28-35, cf. 1008» 12-27 35-7, cf. 10097 38 — » 33
b 7-16, cf. 10098 16-22, 1o11 3-16 17-19, cf. tori? 17-22
19-24, cf. 1011» 23-1012 24,
430 rovro om. EJT 31 ay mt ¢xo EJT GAnOevovros AP
33 y om. AP Ale 35 dei om. AP 36 dStapevopev E kal
om. AP by ryy ef Siakciobar AP 2 ovde pias EJ
3 dua ye in ras, E tavta J! 4 kal py Ta ard et 5 Kai om. AP
6 yeyvopemns EJ Al.°: yevouevns AP 7 1 av EJ g tovrey T
Adyov pnkere AP 17 nacav évavridrnta EJT: ra evavtia AP et
fort. Al. 18 8 Or én’ AP dvadvovot AP Ale: Avovor EJ
by
ie)
al
or
35
TON META TA ®YSIKA K
Aov yap Ort Tovs Erepous adrdv avdyky die\edoOa. havepov
‘ a an , \
de Tobr ex TOY yryvopnevwy KaTa Ti alcOnow ovdéTOTE yap
1063 7d avrd dativeras trois pev yAuKd Tots S€ Totvayriov, fun
D
Al. 18 8 Or én’ AP dvadvovot AP Ale: Avovor EJ
by
ie)
al
or
35
TON META TA ®YSIKA K
Aov yap Ort Tovs Erepous adrdv avdyky die\edoOa. havepov
‘ a an , \
de Tobr ex TOY yryvopnevwy KaTa Ti alcOnow ovdéTOTE yap
1063 7d avrd dativeras trois pev yAuKd Tots S€ Totvayriov, fun
D
a f
drepOappevev Kal AcAwBynuevov Tdv Erépwv TO aloOnTHpLov
Kal KpiTnploy TOY AeXOevTwY yvEGv._TovToV 8 dvTOs ToLOvTOV
NS devas Sern a Sr a \ eee >
Tovs éTépovs ev UroAnTTEoy.peTpov Elva Tovs 6 GAAovsS ovX
sk an cal A lol
bToAnTTEov. Guolws S€ TOTO A€yw Kal em! ayabod Kai KaKod,
\ a \ by a \ lat Dy at , ION
kal KaAOv Kal aicxpod, kal TGV GAAwY TOY ToLOUTMD. ovdev
yap Siapéper Todr’ Aéody 7) Ta Hawdpeva Tots d7d THY Ow
bmoBdddover Tov SdKTvAoV Kal ToLodow ex TOD Evds aiver Oat
dvo, dvo deiv elvar dia TO faiverOar Tocadra, Kal maAw Ev
al a a X 4
10 Tols yap pa) KivodoL THY ow ev datverar TO Ev, Gdws bE
15
20
25
dromov ek Tod daiverOar Ta dedpo peraBaddAovta Kal pyde-
mote Siayévovta év Tots avrots, €x TovTov mepl THs dAn-
Getas tiv Kplow movetocOau det yap ex TOv del Kara ravra
>] if XN / ‘ / 3 X
€xovT@py Kat pndewiay peTraBoArjy moLtovyevwy tadrnbes On-
pevew, Towatra 8 earl Ta KaTa Tov Kéocpov: Tadra yap
ovx Ore pey Toladt madAw 8 dAdAota gaivera, raira &
pI AN \ a by ° a ayy ? rd 12
aet kal peraBorAns ovdeuLas KoWmMvodyTa, ert d el Klyyots
€oTl, Kal KWoUpeEvoY TL, KiVElTaL 5€ TAY EK TLWOs Kal Els TL
al x > te
def dpa TO Kiwovpevon eivar ev exelvm e€ 0} KwWHoETAL Kal OVK
elvat év adr, kal els Todi KweloOar Kal ylyverOa ev TovTw,
\ XX \ X\ b] / X\ vA ’ S, A
TO O€ KaTa THY avTiPacw pa ovvadnOeverOar Kar avTovs.
kal el kata TO moody cuvexGs Ta deBpo pet Kal kwetrat,
ve a i 7 > > X ” \ la \ X\ x
kal 11s Todro Gein Kalmep ovK ddnOes dv, bia Th KaTa TO ToLOY
ov jevel; catvovra, yap odx Huta TA Kata Tas dvripa-
gels TAUVTOD KaTnyopely ek TOD TO TOTdY HrELANPEevatr pa) pé-
pew emt TOV TwopudTav, 616 Kal evar TeTpamnyv TO adTd
\ A x rod
kal ovk €lvat. 1) 8 ovola kara TO Toudyv, Todro Se Tis wpt-
1063* 10-17, cf. 1o10# 25-32 17-21, cf. 1010% 35-1
10631 pnde AP 4 addous] érépous EJ 5 kal kakov om.
Ab 7 todr| rod AP 9 dvo semel JT dey JT: SE
A>; 7 i Bonitz: incl. Christ é¢vom. A> — 10 dyuv eudaiverar AY
14 éydvrev EJT AL. : dvtav AP 16 rodde EJ 19 év
AP Al.¢ et ut vid. Al.: ere év EJT ovk] py AP Al, 20 760e AP
21 avvadnOeverOar AP AI: ddndeverOa EJT Ale 24 pevet
Richards, legit ut vid. Al.: pévercodd. aiverar J 25 ravrov
EJTAl.: avrod AP 26 dia rd kai EJ 27 O€] ye J: yap A»
6. 1062» 35 — 106319
: dvtav AP 16 rodde EJ 19 év
AP Al.¢ et ut vid. Al.: ere év EJT ovk] py AP Al, 20 760e AP
21 avvadnOeverOar AP AI: ddndeverOa EJT Ale 24 pevet
Richards, legit ut vid. Al.: pévercodd. aiverar J 25 ravrov
EJTAl.: avrod AP 26 dia rd kai EJ 27 O€] ye J: yap A»
6. 1062» 35 — 106319
/ / ‘ XN A an >’ / yo SeeN /
ouevns pioews, TO 5€ Tod THS dopioTov. ETL bia TL Tpoo-
t ~ an
TaTTOVTOS Tod laTpod Tod! TO ciTloy TpocEveyKacbaL Tpoadhe-
a a RN A
povtar; til yap saddov Tobro dptos early H ovK €oTLV; wor
> / cal \ lal A
ovdey dv biexor hayeiy 7 wi) hayeiv: viv 8 os dAnOedovTes
’ ‘ a
TEpt avTo Kal GvTos TO} TpocTaxOévTos oitlov TovTOU Tpoc-
/ ' an
pepovrar Tovro: kairo. y ovk der py Siayevotons Tmaylws
pndemias dtoews év Tots alcOntots GAN’ del TacGv Kwvov-
/ a
pevav Kal peovodv. eT. 0 ei yey dAdolovpeda del Kal pnde-
/ € , / la \ \ 3 / >
Tote Olayevowey ot avrot, ti Kal Oavyacrov ei pndém0d
jp raira datveras Kabdmep Tots Kdpvovow (kal yap Tov-
Tous 61a TO pa) Omolws SiaKxeloOar Ty e&w Kal 60 bylawov,
> A /. S \ \ 2 / SES x “)
ovx spo aiverar Ta Kata Tas alcOynoes, aiTa pev ovde-
bias bua ye Todro peTaBoAjs Kowwvotvta Ta alcOyra,
aicOnuata 8 eérepa mowdvta Tots Kdyvovot Kal pn Ta adra:
\ a fa
tov avroy 61 Tpdmov éxew Kal ths ecipnuevns peTaBodAjs
f y ) at b) p) y \ /
ylyvomerns tows avayxaidy éotw); «i 5€ pay) peTaBdddopyev
> Steves far oN A ¥ vans ih \ .
avr’ ot avrot diaTeAoduev ovTes, eln dy TL pevovy.—Tpos MeV
my ‘ 2 ie SS > / > Tg yy Tg Oe
ovy Tovs €x Adyou Tas elpnuevas Amoptas €xovTas ov padzov b1a-
doar pn TWEevtwy TL Kal Tovrou pykért Adyov amattovvTwY*
ottm yap mas Adyos Kal maca andderéis ylyvera’ pnbev
>S t > a » is \o / ¢
yap TWevtes avaipovor TO diad€éyerOar Kal dAws Adyov,—doTE
Tpos pev TOvS TOLOVTOUS OvK ETL Adyos, Tpds SE TOs SiaTropody-
Tas €k TOV Tapadedopevav Amopiav padiov amavTay Kat b.a-
Avew TA ToLodvTa THY amopiav ev avrois: dHAov 8 ex TSV
elpnuevov. date havepov ex TovTwy Ore ovK evd€exeTaL TAs
> é J \ a) 2) a 9) Ger, , > 7
avTikeysevas pacers TEpl TOD avTod Kad’ eva xpdvov adnOcveww,
ION he) 12 x SN is x / tos >
ovde Ta EvavTia, dia TO A€EyeTOaL KaTa oTEpNoLW Tacay Evav-
, lon Xx PV me: lee Pit | ‘\ \ , > - ‘\
TuoTnTa* OnAoV OE TOvT ew Apx7V TOvS AdyoUS avadvoveL TOUS
nr > , c / > > XN lal ph x / > ‘ eS.
TOV EvavTiov. o-olws 6 ovdE TOY AVA ETO oOvOED OlOV TE
1063* 28-35, cf. 1008» 12-27 35-7, cf. 10097 38 —» 33
b 7-16, cf. 1009” 16-22, 1011” 3-16 17-19, cf. 1011? 17-22
19-24, cf. 1011» 23-1012° 24.
430 rovro om. EJT 31 av mt éxo EJT GAnGevovros AP
33 y om. AP Ale 35 dei om. AP 36 Stapéevopey E kat
om. A> by ry efw diaxeicbar AP 2 ovde pias EJ
3 Sid yeinras,E raira J* 4 kal pr) Ta avrd et 5 kal om. A>
6 yeyvoperns EJ Al.°: yevouevns AP 7 1 av EJ g tovrey T
Adyov pynkert AP 17 racav evavridrnta EJT: ra evavria A” et
fort. Al. 18 8’ Gr’ én’ A» dvadvovot AP Al.¢: Avovor EJ
3°
4
°
i)
or
20
w
or
3°
bie)
TON META TA ®YSIKA K
cal Tae Yet \ lol > _ na > y lel
A>
6 yeyvoperns EJ Al.°: yevouevns AP 7 1 av EJ g tovrey T
Adyov pynkert AP 17 racav evavridrnta EJT: ra evavria A” et
fort. Al. 18 8’ Gr’ én’ A» dvadvovot AP Al.¢: Avovor EJ
3°
4
°
i)
or
20
w
or
3°
bie)
TON META TA ®YSIKA K
cal Tae Yet \ lol > _ na > y lel
karnyopetcOar Kad’ évds Kal Tod avrov: AevKod yap ovTos Tod
€ / / > x a oA a A \
dToKesevov A€yovTes avTd cival ovTE peAay ovUTE AevKOY Yev-
, lA X a \ i SX wf X\ » “
ooueba ocupBalve. yap etvat AevKoy avToO Kal py elva
n 7 a
Odrepov yap Tév cupTeTAcyyevav adnOedoerar Kat’ avTod,
na a An /
rodro 8 éotly dvtipacis Tod AevKod. ove 57 Kal? “Hpaxdecrov
. b)
evdexerar AéyovTas GAnOevew, ore Kar “Avagaydpav: el
be py, -cvpByoerar tdvavtia Tod ad’rod Karnyopelv: Grav
- n i“ lal a ,
yap év navtl gy mavtds eivar poipav, oddév paddov eivat
x x fel a a
pyoe yAvKd 7) miKkpov 7) TOV AoiTGy SroLavody évavTIdTEwD,
3 ad c € / ‘\ / , 3° tae
elmep €v G&mavti wav trapxer jy Svvaper povov GAA €vEp-
s Ae) 2 e a2 lol lol 39) > x A , ' -
Wevdev pev ovoGv TacGv ovd advro TodTo Tis macKey ady-
Oevoet, AdnOdv de Wevdets clvar mdoas rA€ywr ov Wed-
OETA.
Tlaca 8 émuorhun ytet twas dpyas Kat airias meply
éxaotov Tov vp’ adriv émioTyTGv, olov LarpiKy Kal yowvaotiKy
kal tOv AcimOv ExdoTn TOV ToinTiKGy Kal pabyparTiKOr.
éxdoTn yap TovTwY TeEptypaayuery TL yevos avTi TEpl TovTO
s « € \ » > e \ + b) 9 lee
Tpaypareverar @s tmdpxov Kal ov, ovx 7) S€ Ov, GAN’ ErTEpa
Tis atrn Tapa tavras Tas émioTHuas eoTly emioTHN. TOV bE
AexOevoGv emiotnpGv éxdotn AaBodod Tws TO Ti eoTwW EV
lat BN
ExdoT@ yéver Teparar Seixv¥var Ta AowTa padak@Tepoy 7
> 2 t ‘ \ a b] € Ss ?
axpiBeotepov. dAayBdavovor O€ TO Ti e€oTW ai pev OF
aigOjcews at & troriWéeuevare 510 Kal dpAov ex THs Towad-
THS emaywyhs Ot. THs ovolas Kal Tod Tl €oTW ovK eoTW aTe-
devgis. eel O Eat Tis TEpl picews emLoTHuN, SHAOV Gre
x fod tat 6
kal Tpaxtixis érépa kal wouTikns €oTat. TouTiKHs pev yap
: a a \ > cal / cal , « > ,
€v TH TowwvvT. Kal ov TS Towvpevw THS KUWHTEwWS 7) GPX,
tN roa Wee 2 ¥ / ¥_> # A € 4
kal Tobr €orw elite Téexvyn Tis elt GAAy Tis Svvapis: dpolws
d€ Kal THS TpaKTLKHSs oUK ev TH TpaKT@ paddov 8 ey Tois
1063” 24-35, cf. I. 1012*24-P18 - Cap. 7, cf. E. 1
21 péXap ovre Nevxdy AY Als Aeuxdy oifre péday EJr 29 map
om. JI: mavra AP 33 tts Touro A» 37 im airny fort. Al.
106492 ad’ry JI: avr E'AY ALS 7 6¢ AVAL: dia tis EJ
12 ris touoews Christ
Gi, ALS
6. 10635 20 — 7. 1064» 10
4 € , € X a fal \ Se aoe
Tpartovoelw n Kivynols. 71 O€ TOD votkod TEpl TA EXOVT EV
Eavtois Kiwyjcews apxyy ect. Stu pev Toivey odTE TPAKTLKTY
Al.
106492 ad’ry JI: avr E'AY ALS 7 6¢ AVAL: dia tis EJ
12 ris touoews Christ
Gi, ALS
6. 10635 20 — 7. 1064» 10
4 € , € X a fal \ Se aoe
Tpartovoelw n Kivynols. 71 O€ TOD votkod TEpl TA EXOVT EV
Eavtois Kiwyjcews apxyy ect. Stu pev Toivey odTE TPAKTLKTY
+ Ny > X ‘ > tal > ‘
ovTE ToinTLKyY GAAG OewpytiKny dvayKaiov elvar THY dvot-
Kyv émuoTnpnv, SHArov ex TovTwy (eis ev ydp TL TovTaY TOV
yevev dvdyxn minrew) enet S& TO Ti eoTw dvayKaiov
c V4 lol 3 lol DENA \ -, a ee ke.
ExaoTyH Tws TOY eTmLTTHUaY Eld€vaL Kal ToUTm xpHobat apn;
det pH AavOdvery TGs Spioréov TS HvoikG kai TOs 6 THs
Se / , , c \ x x al € \
ovaias Aoyos AnmTEOS, TOTEPOVY ws TO oyLovY H MaAAOV ws TO
KoiAov. TovTwY yap 6 pev TOD Tyod Adyos peTa THs tAns
V4 Sad a a a
Aéyerar THS TOD Tpdypyaros, 6 d& Tod KolAov xwpis THs VANS:
yap oysdrns ev pit ylyverat, 610 Kal 6 Adyos adris peTa
Tavtns Oewpetrat Td ody yap ore pls KoiAn. avepov ody
6rt Kal capkos kal dpOadpod Kal rv omy popiwy pera
i es oN \ , > ie 3 \ a oy) b] re
THS VANS Gael TOV AOyov amodoTEoV. Enel d ETL TIS ETLOTHYN
a aun aA
Tob dvTos 7) Ov Kal XwpioTov, oKenTéov TéTEpdY TOTE TH pu-
a x SEEN tA = - x Tad co «
oh THY adtHY Oeréov civar TavTny 7) MaAdoV éTEpay. 7)
Mev ovy vowki wept Ta KiWnoEews exovT apxny év avTots
U
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iA MA >’ > 4 \ \ NX BA A wy. 2D IA
airn, GAN od xwpioTd. Tepl TO xwpioTov dpa ov Kal axi-
yytov érépa TovTwv duotépwv TGV emioTnVaY EoTL TIS, ElmEp
dmapxet Tis ovoia roia’Tyn, héeyw 5€ XwpioTi Kal aKivyTos,
omep Teipacoueda Seixvivar. Kal elmep eote Tis ToLavTn pv-
ots év-Tois ovow, évtadd’ dv ein mov Kal TO Oeiov, kal atrn
ax ww , \ / > / lol vA a 7,
av ein mpertn Kal Kupwwtdrn apxy. dHAov rolvuy br. Tpia
Ve n n na / ,
yern TOv OewpyntixOv emotnuay EoTt, pvoixyn, paOnuaTiKy,
Oeodoyixn. BéATLcTOY pev ov TO TOY DewpnTiKGY yevos,
4 > > lal ¢ y 4 tal os \ 7
TovTay 6 avtTay 7 Tedevtaia AEXOeioa TEpl TO TiLLw-
/ > a ” 7 s \ ff co
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A€yerat Kara TO olkeloy emioctyTov. amopyoee 8 ay Tis TO-
, \ a ON b] / / ca) lal BY
TEpOV TOTE THY TOD OvTOS 7) Ov emLaTHUNY KAOAOD Set Geivar 7
ov. TOY pey yap paOnuatikGy ExdoTy TEpl Ev TL yEevos amw-
r f ¢ BS 4 ‘ \ / oI] Ss >
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€ A A ae a fal x 1 W) d e N
at voixal ovoial mpGrar TOv dvrwy eioi, Kav 1H pvorKy
®19 mimteww] minrey avriy EJT 26 ‘Bewpetrar A» yp. E; eipnrar
EJE == 30 tavrny etvar AP 33 xa AP et ut vid. Al. : xai ro
EJ 34 71s om. AP br dy om, AP el J: ein 7) fort. Al.
3 pev om. AP 7o om, A}? yevos] emotnuayv yevos AY
4 7d kuptoratoy A» 8 pev om. AY 10 Kav] kat yp. E
15
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fol A / , \ a ia
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tess * , a
Ov els €otly 6 kara cuBEBHKOS Elvat AEyOpEvos, TKETTEOV TPO -
Tov mepl Tod otrws dvTos. br. pev ody ovdeuta TOY Tapadedo-
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wy ~ , ‘ lal \ / o lot
Aov (ovre yap olKodomiKi) cKoTE? TO TYUBNnoOpEVOY Tots TH
/ eS n XK /
olkia xpnoouevors, oloy ef AuTNPas 7) TovavTloy oiknoovow,
x a? € = BA ‘\ A > 7, A a >
oP Spavtixy ore TKYTOTOMLK) OTE GYwoToWKy, TO d& Kad
avryy td.oy Exdotn ToUTwWY oKOTEL TOY. eTLOTHPODV [LOVvOV, TOTO
8 éotl 7d olkelov rédos [ovde povorkdy Kal ypappariKdy,| oddE
TOV OVTA MoVoLKOY OTL yeEevdOjEVOS ypappaTiKoS Epa eoTat TA
> ’ , > ” a DS ‘ DEN UR y cee
auporepa, TpdoTepoy ovK Ov, 5 OF pa) Gel dv eoTW, eyeveTo
TooTO, WoO Ga povo.kds eyevero Kal ypaypaTikds,—rodro dé
ovdeuia Cyret TOY Spodroyovpevus ovoGy emioTnpGv TARY 7
copiotikn? mepl’ TO cupBeBnKos yap atrn porn Tmpaypa-
i \ lj 2) n a / \ ‘
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\
Trept TO yay Ov SiaTpiBew) Sti & od evdexdpevdy eorw elvar
a - / SJ / \ ” a lal
TOD TUUBEBNKOTOS ETLOTHUNY, Pavepov EoTar TELpabeiow ideiv
, b) > \ \ , lal , > \ x
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4 a » | 2 > I 2 / 3 > lal x \ /
det kal e€ dvdyxns (dvaykns 8 od Ths Kata TO Biawov A€yo-
/ e tal
mevns GAN Hy xpducOa ev Tots Kara Tas dmodelEes),
TO 0 ws em TO TOAD, TO 8 OVO ws em TO TOAD OUT del Kal
/ 3 me
e€ dvdykns aN omws ervyev olov én) Kuvl yevour dy Wo-
Xos, GAAG Todr’ oO ws det Kal e€ dvdyKns ov’ ws emi TO
\
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1064» 15 —1065* 26, cf. E. 2-4
> 13 Tis... 14 mporepay in marg. J ™® EJT Al.: om. A>
15 Aeyerar EJT All: efvau Néyerar AP 16 eivat AP Al. : om. EJT
17 ovtas] dvtws E 20 xpnoapevors AP ei] E 21 dyfo-
mrountixn AP 23 ob0€... ypapparidy om. Al., susp. Bonitz post
ovde pr. 7 JT et ut vid. E‘, ei ci. Bonitz, rd Christ, «¢ ro Bullinger
24-25 Ta auporepa dua éora A» 25 éyévero recc. I et fecit E:
eyiyvero JAP Ale ‘26 eyévero recc. T Al.° et fecit E : eyiyvero JAP
de om. Al.¢, incl. Bonitz : 6 ci. Bonitz 30 ovd'| ov« fecit E
33 kara Biavy APT Al.¢ 35 8 ovde AP 37 xatEJTAl.: om.
Ab as om, EJ
8
7. 10645 11 — 8. 1065? 32
I et fecit E:
eyiyvero JAP Ale ‘26 eyévero recc. T Al.° et fecit E : eyiyvero JAP
de om. Al.¢, incl. Bonitz : 6 ci. Bonitz 30 ovd'| ov« fecit E
33 kara Biavy APT Al.¢ 35 8 ovde AP 37 xatEJTAl.: om.
Ab as om, EJ
8
7. 10645 11 — 8. 1065? 32
Kos 0 ylyverat yey, odk det 8 odd e& dvdyxns od8 ws emt TO
TOAV. Th ev ody eoTl Td TYUBEBNKOS, ElpyTat, SidTL O OK eoTW
emloTHMN Tod ToLovToV, dHAOV: emLoTHUN pev yap Tada TOD
det dvTos 7) as em TO TOAV, TO SE TYUBEBNKOS ev ovdEeTEpw
TovTwy eotiv. Ort d& TOO Kata cupBEeByKds dvTos od«K cioly
airia, Kal dpxal rovatras olaimep rob Kal? abro dvtos, b7-
Aov' éota yap anavr’ e€ dvdykns. «lb yap rode pev EoTL
ToddE OvTOS TddEe 5€ TOvSE, TOOTO SE pi) OTS ETvXEV GAN CE
avayKns, e€ avaykns éorat Kal ob Tobr’ jv altiov ews TOO Te-
Aevraiov Aeyouevov aitiarod (rotro 8 iv Kata cvpB_Bykos),
dor e@& dvdykns anavr éorat, kal TO droTépws Ervxe Kal
70 evdexerOar Kal yevéoOar Kal py mavTedds ex TOV yL-
yvopevav dvaipetra. Kav pr dv dé GAA ylyvomevoy Td
aitioy dnoreOh, Taira crvpuByoceraur wav yap e€ dvdyKns
yernoera. 1 yap avpiov éxdeuis yevjoerar av tdde yeé-
vytat, Tovro & eay erepdv T1, kal Tobr’ av dAdo- Kal Todrov 87)
Tov Tpomov and TEeTEpacpevov xpdvov TOD amd TOD voy pExpL
avpiov aarpovpéevov xpdvov i€e wore eis TO badpxov, dor
énel TobT eotw, dmavr e€ avdyKns Ta peTa TOOTO yevycerat,
dote navra e& avaykns ylyvecOa. TO 8 ws ddnbes dv Kat
Kata ovpBeBnkos Td pev oti ey cupmdoKf diavolas
Kal mdOos év tavrn (610 mept pev TO obrws dv ov Ci
rowvtat ai dpyal, mept d€ TO 2Ew dv Kal ywpiorov) 7d 8 ov«K
‘avaykatov GAN dédpiocrov, A€ywm Se TO KaTa cUMBEBNKOs
Tod ToLovTov & draxta Kal dneipa Ta airia.— 7d dé EveKd Tov
€v Ttois ptoer yryvouevois 7) amd diavolas éotlv, rbxn 6é€
€or Stray te TovTwy yévntat Kata ovpBeBynKds* Bomep yap
Kal ov eoTe TO pev Ka adTo TO dé KaTa crvpBEBnKOs, otTw
kal airiov. 7 Tvxn 8 airla-Katrd cupBeBnKds ev Tots KaTa
Tpoalperiy TGV Evexd Tov yuyvopevois, 610 Tept TadTa TYXn
Kal diavoias mpoatpesis yap ov xwpls diavolas. Ta 0 alria
1065” 26-30, cf. Phys. ii. 196” 21-25 30-35, cf. 197% 5-14
106572 et 5 vom, AP 10 ws] ws AP 12 démdrep’ A
13 yiveoOar AP 14 d€ om. EJT 15 tadra E 16 4] «i EJT
Al. 18 rod... .19 xpdvov om. AP 20 elmep JT 21 ddnOas
EJVAl. kal] cat py A” yp. EAl.: kai 76 vel kai pi kat 76 ci. Bonitz
22 rd pev Omittenda ci. Christ ~ Stavoias AP Al.: ris duavoias EJ
30 airia EJ®; airtov AP 31 tavta J: traits AP®
or
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lal lol >
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XN a
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1065> anoBf edtvxla b& Kat dvorrxia mepl péyeOos rTovTwr.
5
10
15
20
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5
10
15
20
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ovd’ dp’ alria ¢f dpa t¥yn } TO avtopatoy atrioy Tod ovpa-
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aN ‘
"Eott 5& TO pev evepyela povoy Td be duvdmer TO bE
duvder Kal evepyeia, TO pev Ov TO b& Tooov 7d b€ TOV
AoinGv. ov oTL 8 Tis Kivnois Tapa TA MpdypaTa* peTaBar-
= 9 bak a tk lal y. F PF x ’ 3 \
ew yap del Kara Tas Tod dyTos KaTnyopias, Kowdov 6 emt
/ Inf b) A ede ie as 7 er ~ aN
TOUTWY OvdEV EoTLW 0 OVS’ EV pa KaTNyopig. ExacToV SE biX@s
lal e ~ AN
tmdpxe. Taow (ofov ro rdde—TO pev yap poppy avrod To
f
d€ oTépnots — kal Kata TO moLov TO pev AEvKOY TO dE pEAaY,
kal kata TO Toocdv TO pey TéAELoV TO Oe ATEAES, Kal KATA
Ss DN a
gopay TO pev dvw TO dé Kdtw, 7) Kodpov Kal Bapv) dere
KWWHoEws Kal weTaBoANS Tooadr edn 60a Tod dvTos. dinpy-
, S > of , lay s / a 9? 3 /
pevou 0€ Kad’ ExaoTov yevos Tod pev Svvaper TOD 6 EvTEAEXELG,
THY TOB duvdpet 7} TOLOtTdY oT evepyeray A€yw Kivnow, OTL
& adnOi A€youev, evOevde Sjrov' drav yap. TO olkodounror,
oy ~ x
2 ToLodroy avTd Aéyouen eivar, evepyela 7, olxodometTaL, Kal
€att TodTo oiKoddpunois Spoiws pdOnois, latpevois, Badiors,
ef / d os cal 4 c
dros, yypavows, Gdpuvois. ocrvpBalver d€ KwetcOar dtav 7
9
EVTEAEXELA 7) GUTH, Kal ov j vO torepov. % O°
xX Hl }, Kal ore mpdorepov ov8 Bartepov. 1 dH
fal / y 4 b) sf BAY b) a > @ kes
Tod Suvdper dvtos, Gray eévTedexela Ov Eevepyfj, ovxX 7) avTO
GAN 7 Kwytdv, kivnols eorw. éyw SE TO 7H GbE. EoTL
1065* 35 - 1, cf. 197% 25-27 » 2-4, cf. 198" 5-13 5-7, cf.
Phys. iii. 2c0? 26-28 7-20, cf. 200 » 32 — 201% 19 20-21, cf,
201°6,7 21 — 10664 26, cf. 2017 27 — 2024 3
433 roEJT® b 3 7) Kat ro AP 4 airtoy J 5 ro be
Suvdper semel Ab 6 dp] bes we: 760c Te Ov Christ Pars
E Simpl. le: 7 JI: om. AP o EJT@: om. A» 13 kal]
ro Oe EJTS I5 Tov pev Ere, : om. AP 18 7 EJT@: 7 AP
evepycvav 7 T 19 éort Tt rovrTo E Badeors] kal Fe
Abo 20 mnpavois JI GSpvvots om. T a) BOAR a Ei @eunes
7 EXJAQT 21 évredexeig J: om.T avutn ® 7 Oy EJ. Al.:
ion AYT: 7 06 ® 22 évros codd. T@: dvros evred€xeta ia evepyni}
AP ody «..23 GAN EJY Asp. yp. Al. Phil. Them.: 4 adré 7)
ddAo A> Al, Porph. 23 kivntdv] dAdo Phil. Them. 7 kivnows E
8. 10658 33 —g. 10668 17
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or
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Kata Tov Adyov, Hv av H ToD xadkod évredéxeta kivynots tis.
ov gor, de tadrd (dfAov 8 emi rv evavtlwy: 7d pev yap
ddvacba tyiaivew Kal dvvacOar Kdyvew od Ta’rév — Kal yap
x N >
av TO bytatvew Kal TO Kdyvew radrov iv—rTd 8 troxelwe- 30
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NOY ef: > \ \ > \ bi , wv IOr na > A ‘
kal év). émel 8& od TO adrd, GomEp ode ypGpa Tadrov Kal
dpardv, 7» Tod bvvarod Kal 7 Suvardv évTedA€xera Kivnols eorw.
4 ~ » 2 a Ae A , tal a
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7) @VTEAEXELA 7} adTH, Kal ovTE Tpdrepoy ovO torTepov, dShAov 35
(evdexerar yap éxacroyv 6ré pev evepyety dré Sé pj, olov Td 1066%
3 \ te ’ 4 ay Se an ’ ar 99) / e
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Tov, olkodopetrat 5€ TO olKodomnTor dvayKn dpa oikoddunow
X\ >) é a € P , , 7 7 c ’ 2 \
Ti evépyeray civat, 7 8 olkoddunors Kivnois tis, 6 8 adros
Adyos kal emi TSv dAAwy Kiyocewy) sre Se KadGs eipyrat,
djrdov e€ Gy of GAAou A€yovor Tepl adris, Kal ex Tod ju)
paddwv etvar dwpica. ddAdws airyy. otre yap ev ado
tis yever ddvair dv Oeivar adriv: dhdrov 8 e€ dv d€Eyovow"
=
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ol pev yap érepdrnta kal dviodrnta Kal TO pa) Ov, ov
ovdey avayKn KwelaOat, GAN ovd 7 petraBodrr ovr eis Tabra
Mo 19y oS 72 c BE a b) / x, S fa)
ovr ék TovTwy paddov 1 TOY dyTiKemevwr. alrioy dé Tod
els Tatra riWévar Ori adpioroy Te Soke? elvar 7) Kivnots, Tis
& ér€pas svaroixlas ai apyal bia TO orepytixal eivar adpi-
-
tr
aro ovrEe yap Tdde OvTE ToLdVde Ovdeula adrGy obre THY AoL-
m@v KaTnyoplOv. Tod dé Soxeiy adpioroy elvar Tiv Kiynow
b25 ravre J 27 ante kara add. kai T&F I Phil.!¢, 7 SE
28 rodro Cannan 30 ro alt. Ab®: om. EJ 33 kal om.
EJTe@ 34 obv APD: yap EJT dru EJT@: dre AP 35 7
Abo: 7 EJT evredexeua AP @: evrehexeiar EJ: evredexeia T avry
Christ: avrn codd. & 10662 3 7) AP yp. EJT@: i E TOUTO
codd. T@FI et ut vid. Simpl.: rovrov ci. Bonitz: om. ®E éorw
AFI: oikia éoriy EJ : om. ®E Jt: 1H J?: aut: om. ®
4 70m. E i) oikia recc, ®FI : rod oikodopnrov 7) 7 oikia PE: om.
EJA’ post ofkodopnrdv add. éora EJTOFI, gor OE Il yap
om. Ejr 13 3) EJ Simpl.¢: # ex APT 17 elva Tijy Kivnow
EJ®: tiv xivnow evar AP; om. T
TQN META TA ®YSIKA K
” 4 vy 2 Yj a y. +9 5) pas x
airiov OTL ov? eis dtvamw Toy dvTwy ovr els evepyevay EoTL
Ocivar atirnv: ore yap TO duvarov moody eivar kivelrar e&
29 avayKns, ovTe TO evepyela Toodv, } TE Klynows evepyera pev
i lal b) \ / A yey: ? XX ~ \
elvat OoKkel Tis, aTeEARS Oe: airiovy & Gri aTeAés TO Suvarov
mo 3 a 5) a \ XX let 3 ae tal 7,
ov éotly evépyeia. Kal 1a Todro xadenov adr AaPeiv Ti
> Bs ~ 3 / Jey A val BN 5) , \ 9
éoTw* 7 yap els orepnow dvaykn Ocivar 7) els Svvauw 7 els
= Va c a / | ION 3 / a
évepyevay atAnv, TovTwy 6 ovdev galverat EVOEXOMEVOV, WOTE
i N S > Ne See \ SN Lee
25 Aelmerar TO AexOev iva, kal evépyevay Kal [ph] evepyeray
Kal 1a Todro xadenov adr AaPeiv Ti
> Bs ~ 3 / Jey A val BN 5) , \ 9
éoTw* 7 yap els orepnow dvaykn Ocivar 7) els Svvauw 7 els
= Va c a / | ION 3 / a
évepyevay atAnv, TovTwy 6 ovdev galverat EVOEXOMEVOV, WOTE
i N S > Ne See \ SN Lee
25 Aelmerar TO AexOev iva, kal evépyevay Kal [ph] evepyeray
A >] / ’ oO LN. XN ] / ? %. x
THY elpnuevny, loely wey yadrenjy evdexopevyny OS eElval. Kab
4 5) \ c > a a a 2 A J
bru €or 4 Klynow év To KuyTo, OHAoV? evTEeAeXELa yap
earl TovTOU VTO TOD KIVTLKOD. Kal 7 TOD KLVNTLKOD evepyela ODK
pA b) 1 va) S ss > b id b) a
GdXAn €oTiv. det mev yap eivar evTehexelay auoivs KiWyTL-
\ S / I] Lad 4 a x oS) lal > ’
30 KOV Mev yap €oTL TH dvvacOal, KiWWoty Oe TH evEepyeiv, GAA
got évepyntikoy Tod KwwyTod, bol spolws pla nh duorty evep-
Lcd \ BR d a BS 4 \ 4 \
yela Honep TO avtTd didotnpa ev Tpds dvo Kal dvo Tpos
e \ \ »y \ SS ! b) x x > + eae
€v, Kal TO GvayTes Kal TO KdTayTEs, AAAG TO elvyar odx Ev
dpoiws d& Kal emt Tod KivobvTos Kal KivoLpEevor.
7 ~ EN n a
35 Td & drepov 7) 7d advvaroy SiehOely TO pr) TEpuKeE-
var dwevat, Kabdrep 1) wri) adparos, 7 TO dveEodov éxov
dX Oe
Grededrntor, 1) 5 pddts, 7) & TeuKds exew pry exer dre€odov
x \
1066? 7) mépas: ru mpotbere } adaipecer 7} dudw. YwpioTov pev
dn) add Te dv odx ofdy 7 civatr ei yap pyre peyeOos pyre
TAHG0s, ovoia 8 adro ro ametpoy Kal pr TvuBEByKos, advat-
BD DY a
peroy ora: (TO yap Siaperov 7) péyeOos 7) ARGOS), ef
5 0@ ddualperov, ovK Ameipor, ef pr KaOdmep 7) pwr) adparos:
GAN’ obx otrm A€yovow otf Hyets Cyroduer, GAN os
Bb) / yy an 3 , > CoN GS EA
adeEodov. ert TOs evdexerar Kal’ atTo civar adreLpor,
> \ poe! \ \ , ® r \ + y,
el pa) Kal apiOyos Kal péyebos, Oy TaBos TO AmELpoV; ETL
ei Kata ovpBeBnkds, odvk dy eln ocro.xeloy To dvTwY
1066* 26-34, cf. 202% 13-21 35-7, cf. 2049 3-14 b 7-8, cf.
204? 17-19 8-11, cf. 204% 14-17
219 Oeivar AP&: riOeva EJ 23 «i yap E} 25 Kal pu)
evepyeray om. AY: yy omittendum ci. Bonitz 31 7 EJ®: om.
Ab 32 abto Sidotnua EJ: Sudornpa 76 aird AP 35 6’ om.
Ab > 2 avtd] Tay aicOnrdy, ait ® by E® i: by, atcOnrdv
dé JAYP: dy aicOnrév 7 ci, Christ: an dy, aicOnjrdv 8 ob ? 2 pare
alt.] €ore pyre EJTS 3 av’ro EJT®@: avrov AP 6 ov" ipeis EJ
9 «i sup. lin. J
9. 1066418 — 10. 1066? 36
e er IDX \ ee lal / 7 e
7) Umeipov, GoTEep ove TO Adparov Ths Siad€kTov, KaiTo. 7
avi) adparos, Kal Sti od« éotw evepyeta etvar Td ameELpor,
dtjAov. eorar yap otidv advrob dmeipov pépos TO apBavope-
vov (ro yap ameipm elvar kal ameipov 7d adrd, eltep odota rd
La \ NS Si 28 , 24 CN id x b)
dmeipov Kal pa) Kad’ troKeysevov), @oTe 7) adiatperov, 7) els
dreipa Suaiperov, ei pepiotév’ moAAG & civar 7d adrd ddv-
vatov dmeipa (domep yap dépos aijp pépos, otrws dmetpov
> 91 13h eae af Na / E} / oy Ne ee la
atelpov, el éoriv ovata kal dpxy) dyepiorov dpa kal dd.atpe-
\
Tov. add dddvarov Td evTedexela dv ameipov (moody yap
elvat avaykn) Kata ovpBeBynkds dpa tmdpyer. GAN el
add dddvarov Td evTedexela dv ameipov (moody yap
elvat avaykn) Kata ovpBeBynkds dpa tmdpyer. GAN el
@
of > iA > 2 / oe 3 Ld Pa aS) al
otrws, elpnrar Ori ovk evdéxerar elvar dpxnv, GAN exelvo @
4 \ Pe BN S wy x
yap adparos Adyos TO emiTed01s wplopevov, odK ely dv
BA na yxy > J \ + , 399 9. A c
anTElpoy Tua ovT aicOnrov ovre vonToV, ovd apiOuds ws
t \ y >! A \ c ) \ x \
Kexwpiopevos kal amepos' apiOunrov yap 6 apiOpyos 7 Td
BA 2 , n XX > na a y+ \ 4
€xov apiWuov. votk@s O€ Ex THVdE SHAOV* OUTE yap cIV-
Oerov oidy T elvat ov8 amdovyv. octvOerov wey yap ovK éoTaL
oGpa, «i TeTEepavTar TO TAHOE Ta oToLxeia (Sel yap iodcew
pa, @f memép > my xe yup
Ta évavtia Kal pn elvar ey adtdv amepovr. «i yap dtwody
/ a
Aelmeran 1) Oarépov adparos dtvams, POapjoerar bro Tod
ameipov TO TeTEpacpEevov: ekaoTov 8 dmeipov eivat advvaror,
cya ydp éor. 7d mdvTn exov didoTacw, ameipoy Se Td
amepdvtws duectyKds, dor el Td Amepoy cHya, TavTH eoTaL
BA ION A iN Nae a 3 td Sy ot. i)
dmeipov) ovde ev d& kal dmAoby évdéxeras TO Areipov eivar
copa, O08 ws A€yoval TwWes, Tapa Ta oTOLXEla e€ OF yevYdot
Tatra (ovK ear. yap To.dTo Toya Tapa Ta oToLyela amay
1066” 11-21, cf. 204* 20-32 21-26, cf. 204°34-—)8
26-36, cf. 204> 10-24 36 — 1067° 7, cf. 204” 32 — 2058 7
Yio 7 EJT@: i AY 12 oruovy avrod EJT®: avrod oriody AP
15 despa EJT@: dei duatpera AP 16 yap] & Christ dépos
anp pépos AYT® Phil.l¢ Simpl.¢: pépos dnp aépos EJ 19 « EJT®:
om. A? 21 ro] rovT 22 0 ovd ev AP 24 000] ovr’ EJ
27 oloy verevat J éora. EJT@EL: gore ®F Phil. Them.: é A>
28 ei EJT@: erewmep A” 29 omocmovy SE et ut vid. Simpl. :
éroaotv APSF Phil. 33 ciom. EJT® 34 d€ om. AP
ca ATS: om. EJ 7d A» Phil.: om. EJ Simpl. Them. 36 yap
EJ®: yap ro AP amay EJY-Simpl.: dravra AP
10
“
mn
b>
(eo)
on
w
6)
TQN META TA ®YSIKA K
yap, e& ob eori, Kal diadveras eis TobTo, od alverar d€ TovTo
1067® qapa Ta aTAa cdpara), ovde Tp odd’ GAO TY oToLYElwr
I
2
ovdey* xwpls yap Tod amepoy civat ti. atrdv, addvarov
ef = / AN S A / Fee
TO Gnay, Kdv memepacpévor, 7 elvar } ylyveoOat Ey Tu
a’tév, domep ‘Hpdkderrés pnow travra ylyvecOat more
nop. 6 & adrds Adyos kal emi rod évds 6 ToLodor Tapa
on
a ° 14
Ta oTolxeia of gvotkol: av yap peraBddrAa e€ evayriov,
Mie > a“ 5 / x \ > \ at ,
ofoy é€xk Oepyod els Woypdv.—éere TO alaOnroy copa Tov,
he 94 , o \ e 5 a Y 5) >
kal 6 avrdos témos bAov Kal poplov, oloy ths yns, aor eb
SS © id Sah x xX PN y) a a Ss
fey Opmoedés, axlyynrov eorat 7 adel olcOnoeTat, TovTo Oe
°
advvarov (ri yap paddov Kdtw 7 dvw 7) dmovoty; ofop
el BGXos ein, Tod attn Kunhoerar 7 pevels 6 yap Toms
Tod ovyyevots avty cépatos admeiposs Kabéfer ody Tov
dAov Tomov; Kal mos; Tis ody 7 pov Kal 7 Kivyots;
7) Tavrayod pevet — ov KiwnOjoerar dpa, 7) TavTaxod Kwwn-
Ojoerat — ovK dpa orncerat) ef 8 dvdpoioy Td wav, avoporor
MS c / \ cal Ss mn & \ lal lel \ 5 ’
kal ol Tomo, Kal mpOTov pey ovx ev TO TOya TOD TavTos AAA
\ a XN / a) BN
) TO anrecOa, cira 7) meTepacpeva tabr ~orar 7) drewpa
elder. mTeTEpacpeva pev ody ody ody Te (ora yap Ta per
hl \ ’ » ,’ \ a BA @ fol XN fd
dimepa ta 8 ov, ef TO Tay dreipor, oloy Tip 7 Bdwp:
x \ \ n~ tal . / > > Se oO
o pPOopa d& Td To.odroy Trois evayrios): el & dmeipa Kal ama,
kal ot tdmou depo. kat eorar dmeipa arotxeiar el Oe
an , is ft
tobdr’ advvaroy Kal of Tomo. TenmEpacpEevol, Kal TO TAY avayKn
memrepavOa. ddws 6 ddvvaroy dmeipov elvar cOpua kal
al 3 al a \ 13
Témov Tols ceuacw, ef Tav copa alaOnrov i) Bdapos exe
BY i BN SS BN Ny t ey) ? , 27
) Koupdrnta: 7) yap em TO pecov 7) avw oicOncera, adv-
or
\ Nig BY ta BN Ne € a
varoy 6€ TO AmEipoy 7 TaVv 1 TO HuLtov OTOTEpOVOdY TE-
/ fat S al \ la feng ed / \
TovOévarr mas yap diedeis; 7) TOs Tod amelpov ~orat Td
1067% 7-20, cf. 205% 10-25 20-23, cf. 205% 29-32 23-33, cf.
205 24 — 206*7
537 ov... rotropr. EJT@: Sv... tradra AY 10679 I rapa AP@:
wept EJT Tov] te rév EJT Phil.) 12 rov cuyyevovs atry
(adrns EPhil.*) ©: avrns tov ovyyevods codd, T 13 tpdrov E}
7 EJ Phil: om. AP ~~) EJ@: om, AP 14 kunOnoerar EJ;
kunoerat AP kun Onoerat E®: om, JAYT 18 cidec om. Vp: E
Temepag peva EJ Phill: kat wemepaopéeva A 19 ef EJT@; 7) AY
21 aretpa rd otoxeia EJ® 24 i) EJT@: om. AP 26 Huo
EJT@: fuov 7 A 27 dvéAns AY To pey EJTS: om. A
10. 10666 37 —11. 1067 18
, x a an
Mev katw 7d 8 dvw, 7) €oxatov Kal pécov; eri Tay copa
aic@nrov év témm, térov Se eldn &&, dddvvaroy 8 ev Td
anelpo odpat. tadr eivat. dros 8 ef dddvvatoy Tdmov 30
x” a
amepov ecivat, Kal cGua advvarov: TO yap év Tém@ Tov,
a x XN \ a lal
tovro € onpaiver } dvw 7 Kato 7) TOY AoiTeY TL, TOUTWY
’
& €xaoroy mépas Ti. 1O 8 admeipov ov radrov ev peyeber
X v4 \ fi « "A / , \ \ A
Kal KWWHoEL Kal xpovm ws pla Tis vats, dAAG TO boTeE-
pov A€yeTa Kara TO mpdTEpov, olov Kivnows KaTa TO péye- 35
ta xX a BY
Bos ef ov kuvetrar 1 GAdowwdrar 7) avGerar, yxpovos de
bud THY Kivnow.
11 MeraBddrder 8€ TO petaBddAov TO pevy KaTa cvp- 1067
, ore
d€ TL TO Kivoby mpOrov: oT. d€ TL TO KiWotpevoy, ETL ev @
/ ‘ > a \ ? ic4 A > 4 \ x‘ / \
xpévm kal e€& ob xal els 6. Ta 8 edn Kal Ta TAOn Kal
6 témos, eis & Kivobvtat Ta Kwodpeva, aklyynta eotw, oloy
2 /, \ 4 Da 2 > € , 7 = >
emoTHMN Kal Oepudrns' EoTL 0 ovX 7 Depyorns Kivnows AAA
X\
» O€ppavors. 1% S& pa) Kara cupBeBynKds petaBodr ovK ev
dmacw wtmdpxer add’ ev ois evaytiows kal peragd kal
év avtipdacer: tovrov de miorTis ex THs emaywyns. peTa-
/ BY
Bddrder Se 1d peraBdddrdov 7 e& BroKepevov els broKel- 15
x > > € J > > ¢€ v x €
Hevov, 7» ovK @& troKeysevov els ovx broKelyevor, 1) e& br0-
Keuevov eis odx broKelyevoy, 7) odK e& HmoKepévov els br0-
ke(uevov (Agyw d5& troxefuevov 1d Katapdoer dndovpevor),
~
Oo
1067* 33-37, cf. 207? 21-25 by-9, cf. Phys. v. 224%21-P1
9-12, cf. 224? 11-16 12-14, cf. 224> 28-30 14 — 1068»
15, cf. 225% 3 — 226° 16
207? 21-25 by-9, cf. Phys. v. 224%21-P1
9-12, cf. 224? 11-16 12-14, cf. 224> 28-30 14 — 1068»
15, cf. 225% 3 — 226° 16
28 cdpa aicOnroy APP: aicOnriv copa EJT 32 d€ EJT@:
dé 6) AP 35 76 alt. om. AP 36 xpdvo T b2 Badicew
EAE 5 ri kal 0 av’ro mporov EJT 6 rom. i 7 de
pr. AP®;: ney EJT 8 déalt.om.E eémuéevg EJT@: evr AY
Q 6 xpdvos if: xpdvos Christ ra alt. AP Simpl. Them. : om. EJ
16 i) ovk... 18 O€ broKeipevoyv EJTS: om, AP
2673°2 : H
q
TQN META TA @YSIKA K
aor dvayxn tpeis evar petaBodds: 4 yap e€ obx bmoKxe-
20 pévov eis pi UroKelpevoy ox eat. peTaBody: ote yap évay-
4 LA > sf t > 4 > >. /, 4 s EA >
tla ovre dvtipacis éotw, Sri obK dvrifeots. ~7]) pe ObY OvK
€£ broxeisévov els inoxeipevov Kat avtipacw yéveois eorw,
© x c rn “ ia ae ‘ 4 t 2 3 . a > a see 4 x 4 A
Tal, GAA Gpws GAnOes einely OTL UaapyeL TO py OV KaTG
To} ytyvopevov Gmh@s) dpoiws be Kal TO npeveiv. Tadra
25 Te 67) ovpBaiver dbvoxepy, Kal ei Tay TO KWotpevoy ey TOT,
70 6& pa Gv ovK Eat ev Témw ein yap Gy Tov. ovbe dH 7
4
pbopa Kivgoss evaytiov yap Kunoe Kivnow 7 Tpeputa,
1068* POopa be yevéoe. enel 6€ aaca Kivnows petaBodn Tis,
petaBodal b€ Tpeis ai elpnpevar, Tovrwy @ ai Kara yeve-
ow kal POopay od kuwicets, atta & cic ai Kar dvtipa-
> x 3 © , ? € F 3
ow, avayKn Thy e€ troxeyévov cis broKeipevoy kivnow evar
4 § > -« 4 a - s 2 “ad 4 > t a. > / 3 , Px Se cal 4 ¥ s f
pnOev eivar ovoig évavrioy, ovde Tob zpds Tt (€oTt yap Oar€épov
D21 Ort ovk avribecis ante ote 1, 20 ponenda ci. Bonitz 23 ries
is recc. Ti: ris tds EJAYS 24 npev...257risom.T dry
om. AP 24-25 tis twds AP 27 ovr. EJT®: om. AP 29 dy
om, Ap 30 10 JT Them.: yap7ré EA*T® 34 tabra Jaeger
35 tre EJOFH: de A*SE Jaeger: om. rel 36 7 A®®: om. EJ
106842 8 aiEJT@: b€y7 A> 5 4 pr.EJT@: om.A® 7 yopvdr]
tuphov i: Woxpéy ci. Bonitz vobov| hevxov APS kaito péhay EJ
9 tO et 7 EJTS: om. A 7 tert. om. AP Il rot] 76 OFHI
Phil. : om. EJT®E Simpl.!
II, 10675 19 — 12, 1068» 2
rel 36 7 A®®: om. EJ
106842 8 aiEJT@: b€y7 A> 5 4 pr.EJT@: om.A® 7 yopvdr]
tuphov i: Woxpéy ci. Bonitz vobov| hevxov APS kaito péhay EJ
9 tO et 7 EJTS: om. A 7 tert. om. AP Il rot] 76 OFHI
Phil. : om. EJT®E Simpl.!
II, 10675 19 — 12, 1068» 2
peraBaddXovtos pi) GAnbeverOar Odtrepov pndev peraBdddor,
@ore Kata ovpBeBynkos 7) kivnois adttGv), ovde ToLodyTos
BY a
Kal maoXovTos, 7) KiWOodvTOs Kal Kivoupévov, Ort ovK eaoTL
Kunoews Kivnois ovde yeverews yeveois, ovd GAws pera-
lod , lal x > a V4 J fe
Bodns petaBodn. d1xGs yap evdéxeTtar Kiwynoews evar kt-
* a
mow, 7 ws droKepevov (olov 6 GvOpwmos kivelrar Ori ex
Aevkod els pedAay petaBddrAe, wore otrw kal H kivyois 7
a BN / BY , 5) / BN + nm
Oeppaiverar 7 WoxeTar 7 Témoy GdAdTTEL 7) aveTar TodTO
\ 2s / > xX fal € -, € vA DN
d& dddvvaroy: od yap Tov timoKeevwv TL peTaBodn), 7
ban d 4 13 VA o) lod / >
T®) €TEPOY TL UTOKEiwEevoy EK peTaBoANs peraBadrdrew eis
dAdo eldos, olovy dvOpwmov ex vécov eis tylevav. GAN ovde
tobro duvaroy TAY Kata ovpBeBynkds. aca yap kivnows
€€ GAdov els GAAO éorl peraBodryn, Kat yéveois Kal POopa
acatrws Any at pev eis dvtixelueva wdl, 7 8 Gdl, 7 Kivyots.
da ovy peraBddrdrdgc e& tyrelas eis vooov, Kal @& adrijs
Tavrns THs peTaBorAns els GAAnv. dHArov by Ori dv voojon,
\ * ¢ a > / \ ? la
peTaBeBrAnkos ora els Smovavody (evddyerar yap Tpepetv)
kal éru els pay tiv Tvxotcay dei KaKelvn &k Tivos els
Tt GAO €oTta dol 7 dvtikeruevn ora, bylavois, GAAG
TO oupBeBnkevar, ofov e€ dvapvjoews cis AYO
5 KPEPN 2 €€ avayvnoews ets AnOnv pera-
Badrsa bre @ trapxer exeivo peraBddrdrAE, dre pev els
2 /, © be BA wy > DA La} eo]
émothnuny ore d€ els Ayvovavy.—eri els Gmepov Badvetras, «i
ba Led ‘\ S / ts >
€orat peTaBoAns peTtaBody Kal yeveoews yéveois. dvdyKyn
87) Kal tiv mporépay, el m7 borepar olov ei amAq yéveors
éylyverd mote, Kal TO yryvopevoy eylyvero: GoTe ovTH
A 4, : n > lA Ve BY ,
qv TO ytyvopevoy aTAGS, GAAG TL yeyvouevov [i] yryvdpevov
12 peraBaddovros py ut vid, Al. Them., Schwegler: peraSad-
Novros pndev A: pnbev peraBaddovros EJT: peraBaddovros if Simpl. :
peraBaddortos pnkére ci. Christ pndev EJT@: pndé AP 14 kai
pr. EJT@®: 7 A> 15 peraBodjs peraBory APT Simpl.¢: peraBody
petaBorns E]® 16 ciyat know EJT®: kivnow etva A?
23 dmact AP yap] yap 7 AP 25 e€& avriketpevov JT 78
oi AP Simpl. : 7 ®di EJT Phil, @E?: om, ®@FHI — 4p xivnows APOE
Simpl.: 7 d€ kivnows GH: 7 6€ kivnows ody dpoiws PFI: ov Kuyoes
Ejr 27 o KIL voont E+ 28 €v 6motaody T an ovK
éevdéxerar? 30 é€ora alt. om. EJ Simpl.°® 33 dyvoray Smith,
legerunt ut vid. Phil. Simpl.: iyievay codd. Te 35 yeveots eyty-
verd EJT®: yévero AP DY éyiyvero EJT®: dads eyltyvero AY
270... 3 40n] 748n Al.: dn adda yeopevoy ny yuwopevoy 75n yp. Al. :
ywopevoy amdOs adda Te yuvopevov dn PH yp. Al. yp. Simpl.
room. EJ re yeyvopevov yeyvopevoy Bonitz: re yryvopevoy f yevdpevov
E: te yeyvopevov dmdas i yevopevov JT: re yeyvdpevoy kal yeyvopevoy
OF I: yeyvipevor re i) yuvdpevoy AP: yeyvdpevov To BE : ywdpevoy ci, Asp.
: H 2
5
30
1068)
a |
Al. :
ywopevoy amdOs adda Te yuvopevov dn PH yp. Al. yp. Simpl.
room. EJ re yeyvopevov yeyvopevoy Bonitz: re yryvopevoy f yevdpevov
E: te yeyvopevov dmdas i yevopevov JT: re yeyvdpevoy kal yeyvopevoy
OF I: yeyvipevor re i) yuvdpevoy AP: yeyvdpevov To BE : ywdpevoy ci, Asp.
: H 2
5
30
1068)
a |
TON META TA ®YSIKA K, A
EA \ Cotte Je bts i2 , ed 3 iS > , ,
non. Kal todr éylyverd more, Gor ovK Iv TH TOTE yryvd-
pevov. emel d€ TOV admelpwy obK EoTL TL TPOTOV, OvK
+ \ cas ev ’ Or \ 3 ‘A EA 7 co
5 €oTaL TO TpOToV, Bor ovde TO exdspevov. ovTE ylyverOar ody
ovre Kweicbat oldv Te obre peraBdddAew ovdév. ETL TOD adrod
nA € * / \ b] / 3 mK / \
knows 7 evavtia Kal npeunots, kal yéveots Kal Oopd,
Sore TO yryvouevov, Grav yevntar yryvduevoy, Tore POelpe-
+ \ 39 4 +? a tal
Tau ovre yap evdds ytyvopevov ov Bortepov civar yap det
1070 Oeipopevov. ere Sel TAnv treivar TO ylyvouev@ Kal
pow . 0 Pry OEE:
oN n x
metaBdddovtt. Tis ody ora, domep TO GAAOWwWTOY copa 7
XN
Wox — otra ri rd yuyvdmevov kivynois 7) yéveots; Kat ere Th
eis 0 KwodvTar; de yap elva Thy Todde Ex Todde els TddE
K n a / nr
know 7) yeveow. Ts odv; ov yap eorat paOnots Ths
/ o Pp) IOr / / 3 \ > vy 9 a pe! «: PA
15 MaOnoews, WoT ovde yevEots yeveTews. ETELO OUT OvValaS OTE
Tod mpds TL ovre rod Tovey Kal macyxew, AelmeTaL KaTa TO
mowv Kal moody Kal témoy klynow civar (rovTwy ydp €Exda-
3 6 x / S \ os td Ae fel a,
oT évavtiwcis éotw), A€yw 58 TO Toy ov Td ev TH ovola
(kal yap % Stadopd mov) adda 7d TabyTiKdv, Kal” 6
/ I a b) \ 5 \ Se eee ,
20 A€yeTal Taoxew 7 anabes eivat. TO Se akivntov TO TE
ddws advvarov KkwyOfvar Kal TO pddts ev xpdv@ TOAAG 7}
Wen Me Xpovg |
Bpadéws apyduevov, kal rd TepvKds pev KivetoOa Kal
dvvdwevov (ur Kwotpevov) d& Gre TépuKe Kal ob Kal ds: 6
KANG npewety TGV GxwyTwv pdovov' evavrtoy yap npesla
25 KWHoEL, Bote oTepyors av ein TOO dexriKod.
1068» 15-20, cf. 2268 23-29 20-25, cf. 226» 10-16
>3 #dyn Ab: ei 6) EJT tore EJT@: more AP an yyvdpevor
yeyvojevov 2 4 rtom. EJ Simpl. 4-5 ovk €orat 70 mpOroy
EJT@: om. AP Simpl. 5-6 ovv avrat ovre E?* 7 yéveots EJTS:
1 yeveors AP 9 yryvopevoy EJ®: yevdpevoy APT: an yryvdpevoy
yeyvopevoy ? I2 ovrw om. J ri JA°@F Simpl.: te T: re (sed
erasum) cai E: 5) @1 — kivnows EJTS: Fy Kinois AP aly yéveous JT
érvom. EJY: rdkw® 13 ri] tetiy EJTS | 14 7) yeveoww PE?HI Al.
Simpl. : pw) know codd.T yp. AL: xat py konow SE!: py kimow
) yeveow ®F : pu) Kivnow ams Lasson ris pabnoews, Sor ovdey
yéeveors yp. J: om. J ths pabnrews| 7 THS paOnoews yéeveots AP
15 yevécews yéveois PEF I Simpl.° Phil. : ris yevéeoews AP 17 kal
pr.] kai 76 AP Simpl. Them. 70 mov JT@ 19 yap JT®: yap kat
E: om. A> 7 Scapopa EJT® : rH dtapopa AP Kad’? 0B: Kado
codd. 21 poys AP =) AP Simpl. Them.: om, EJT 22 7d]
émJ kal... 23 d€ B®: py Suvdpevoy dé codd. T 23 méuke
A>: om. EJT
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Al.! oixerdtntos yp. J procogia Al. Them. Bonitz: dirocodias
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ST. ALBERTS COLLEGE LIBRARY
8. 10738 22 — 10747 1T
f a
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Bonitz: dirocodias
codd.T 14 Tay (yrotvtwy bis E 16 d¢ om. J?
ST. ALBERTS COLLEGE LIBRARY
8. 10738 22 — 10747 1T
f a
Beortépors.—Evdo£os pev ody HAlov Kal ceAjvns éxatépov Tiv
\ a ma
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8. 10742 12 —9Q,° 1075 1
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8. 10742 12 —9Q,° 1075 1
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cs TO KWwodv Tove. of d& A€yovTes Tov apLOudv TpOrov Tov
nv ms oe SON ot b] / % , ‘\ ite ry
pabnuwatixoy Kal ottws del GAAnv exouevny ovolay Kal apxas
éxdotns GdAas, émevcodiHdn THY Tod TayTds odolay ToLodow
(oddév yap 7 érépa rH érépa ocrpBdddrerar odoa 7) fa) Ovca)
yap q €TEpa TH ETEPY TUM, 7) #1
™
kal Gpxas moAAds: Ta b& dvta ov PovAeTar ToAtTEvEerOaL
kaxos. ‘‘ovK dyabov moAvKoipavin: els Koipavos €oTw.”
M
Tlep) wev odv ths tév aicOyntGv ovdcias elpynrar ris éorw,
€v pev TH peOddm TH TGV pvotkGv TeEpt THs BAns, torepov
d€ wept ths Kat’ evepyeiav: emel 8 7 oKeWs eotl ToTEpov
x \ \ By \ LN: bdr ae Be 4 xX >
€oTl Tis Tapa Tas alaOyTads ovoias axlvynros Kal aldvos 7) ovK
x AOE he pies na \ \ na y ,
EOTL, KA El EOTL TLS EOTL, TPOTOV TA Tapa TOY AAAwY eyo-
/ ir4 ” \ na / Ne a
peva Oewpynteov, Smws elre TL pr KaAGs A€yovol, pi Tots
avrois évoxo. @pev, kal et TL ddypa Kowdv Huiv Kdxetvors,
Toor ldla py Kal? yuadv dvcxepatvwper’ ayamnrov yap
Tis Ta pey KaAALOY A€yor Ta Se pr) xXElpov. dvo 8 eiot
ddfar mepl TovTwy: Ta Te yap paOnuarika dacw ovclas
elvat Ties, olov apiOuovs Kal ypaypas Kal Ta ovyyevh Tov-
Tol, kal madw tas id€as. émel dF of wey dvo Tatra yévn
a / / x A \ 3 “4 ¢ ‘
Tovovol, Tas Te ideas Kal Tovs paOnpuaTiKkodvs GpiOuovs, ot bE
7 UA ° ¥ ed. / \ \
plav piow aydotépwr, erepor O€ Twes Tas paOnuariKds
povov ovolas eival act, oxentéov mp@tov pev mepl Tay
> 27 of ex Al. add. Bonitz 28 otre AP; otro. Eucken 32 dy
om. E 34 més Bonitz: ds codd. Tl: ras i 1076° 4 éoTw
E? Asc.¢ Procl.: om. E*JA*Y et fort. Al. 8 riE 14 te AP
16 8] 6) Bywater 19 yevn taita AP
10, 1075 27-2. 1076» 18
add. Bonitz 28 otre AP; otro. Eucken 32 dy
om. E 34 més Bonitz: ds codd. Tl: ras i 1076° 4 éoTw
E? Asc.¢ Procl.: om. E*JA*Y et fort. Al. 8 riE 14 te AP
16 8] 6) Bywater 19 yevn taita AP
10, 1075 27-2. 1076» 18
pabnparikdOv, pndewtav mpooriOevras pvow GAAnv adrots,
K
olov mérepov ld€a Tvyxdvovew otoat 7) ov, Kal mérepov apyal
\ arehe d an 4 x + 2 CaN ‘ a i
kal ovota TOY GvTwY 7) Ov, GAN os Tepl pabnwariKGv jdvov
ee \ yw \ Ve / > a2 Xx 6 4 x \
clr elow etre pry eiot, kal ei elol mOs eloiv: Emerra pera
Tatra xwpis mepl tov ldeGv airdy amdGs Kat Goov vowov
xdpw: teOptdntar yap ta moAAd kal td Tav é€wrept-
KGv Adywv, ere 5& mpos exelyny bel THY oKEeWW dravTay
\ ie, rn
Tov TAelwm Adyov, Grav emoKoT@pev ei at ovolar Kat ai
> aq y =) / / ie \ \
apxat tOv dvtwv apiyol kal ldéar elolys peta yap tds
/ »
id€as arn Aclmerar tpitn oKéYis.—avdykn 0, elmep ott
x x al lal
Ta padnwarixkd, 7 ev Tors alc@yrois «lvat atta Kaddrep
/ N / n > n / X \
Aeyoual twes, 7) Kexwpiopéva Tov alcOnrdv (A€yovor 6& Kal
oy , x a » > BN) x 4 > eg
otrw Ties) 7) el pnderépws, 7) ovK eloly 7) GAAov TpdTov eiciv:
> an ral \
BoP 7 appro Bytnow huivy €orar ov Tmepl Tod €ivar GAG wept
TOU TpdTroU.
2 Or pev toivw ev ye rots aic@ytois adtvarov civat
5 qd Wy ¢ 4 s A > o
kal dua mAacparias 6 Adyos, elpyrat pev Kal ev Tots
duaTopnuacw Or. dvo dpa oreped civar dddvarov, ert Oe
kat Ort TOO avrod Adyou Kal Tas GAAas duvdpels Kat pioes
év tots aicOnrois eivar Kal pndeplay Kexwpiopéevnv'—raira
x mn / co \ \ / : o
pev otv elpntrat mporepov, GAAG mpos TovToIs pavepov GrL
lod cal nr \
adtvarov dvaipeOjjvat driwty cpa: Kar énimedov yap s.al-
/ lal iy, \ /,
peOnoerat, kal Todro Kata ypappry Kal airy Kata otiypap,
- > na ‘ ‘\ v4
wor el tiv otiypiy diedciv Advvarov, Kal Tv ypappyy, et
XK
6 ravrnv, Kal TadAa. Th ov biadeper 7 Taras elvat
‘A uA BY > \ x / a Nghe 2 3 tal ,
Towavras dvoeis, 7) avTas pev py, elvar O ev avTats ToLav-
if / ve
tas toes; TO avTd yap oupByoerat Siaipoupevwv yap
n n / BN Ed © , 2 2 \ \
TOV alaOnrSv diaipeOnoovra, 7 ode at aigOynTal. GAAa pHV
\
ovde Kexwpiopevas y elvar pices ToLavtas duvatdv. ei yap
éora oreped mapa Ta aloOnra Kexwpiopéva TovTwY ETEpa Kat
rn lal lal \ \
mporepa tov alcOntGv, djAov br. Kal mapa ta énineda
lal / \ \
érepa avayKaiov civar enineda Kexwpiopeva Kal oTLypas
kal ypappds (rod ydp avro} Adyou) «i 6& Tatra, moAw
lal lal lal lal \ \
Tapa Ta TOO orepeod Tod paOnparikod énimeda Kal ypappas
\ n
kal otuypas €repa Kexwpiopéeva (mpoTepa yap TOV ovyKEL-
424 idea... morepov in marg. J 28 reOpvAnra Al.¢:
reOpvuAdnrat codd. 32 an 6n? by dpa dv0 AP 2 avrov
om, A? 18 Kai ortypas om. JT
3°
1076)
20.
2)
3°
w
or
1O77e
on
10
TQN META TA ®YSIKA M
morepov in marg. J 28 reOpvAnra Al.¢:
reOpvuAdnrat codd. 32 an 6n? by dpa dv0 AP 2 avrov
om, A? 18 Kai ortypas om. JT
3°
1076)
20.
2)
3°
w
or
1O77e
on
10
TQN META TA ®YSIKA M
péevov é€ott ta dovvbera: kal eimep Tov aicOnray mpoTepa
cdpata py aicdntd, TO aiTe Adyw Kal Tov emimedov
TOV év Tols akwytois oTepecis ta aita Kal aitd, woTE
an cal a a nt
érepa tatra eénimeda Kal ypappal_Tov Gua Tois orepeois
Tols Kexwpiopevoiss Ta pev- yap Gua Tors panwariKois
orepeois Ta 5&€ mpdTepa TOY padnuariKGy oTEpedv). TaAW
tolvuy TovTwov Tay emimédav ecovTat ypappal, Gv mpeTEpov
denoer Erépas ypappas Kal otvypas civar bia Tov avrov
n tal lal A
Adyov: Kal To’rwy (rdv) ex Tals mpoTepais ypappats erepas
TMporepas oTLypas, OY ovKeTL TmpOTEpaL ErEpar. atTomds Te 7
yiyveran 7 ocdpevois (crpBalver yap oTeped pkey povaxa
\ \ . / Ses 2 S \ \ \ > /
Tapa Ta alic@nra, énineda S€ TpiTTa Tapa Ta aicOnra—
Tad Te Tapa Ta aicOnTa Kal Ta év Tots pabnyariKois oTe-
tal \ BS \ bed / \ x va ‘
peois Kal (rd) mapa Ta ev Tovrois—ypappal be rerpa€al, orvypal
be mevtagal: wore Tmepl Tota ai emiotipar eoovta at pabn-
parikal ToUTwY; ov yap OH Tepl Ta ev TH oTEpE> TO AkwyTo
,
enimeda Kal ypappdas Kal otiypass del yap Tepl Ta mpd-
€ 3 U4 c > > - , & A an >I an
Tepa 4 emuoTHun) 6 8 avrdos Adyos Kal TEpl TGV apiOpav-
map €ékdoTas yap Tas oTlypas erepar €oovrar povddes, Kal
Sef ACT > ’ / “— A / 4 7+
map &xaota Ta ovta, (ra) aicOnrd, ira Ta vonTd, WoT eoTaL
yern Tév paOnpatikGv apiOuay. ru Gmep Kal ev Tots
> vy, Ss a 2 J 4 \ x
Grropnuacw emprAOowev mas evdéxeTar AVeW; TEpl & yap
€ > 7 >] ‘4 c 4 a aN \ Pd © 4
aotpordoyla eéotiv, dpolws €orar mapa Ta aicOnta Kal
mept & ) yewperpiar elvat 8 otpavdv Kat Ta popia adrod
n , x + ¢ a x iA c 4 x \ ‘
m@s Suvaroyv, 7 GAO OTLoby Exov Kivnow; Opolws b€ Kal TA
> \ ‘ \ 3 / Ly x , \ ba
émtika Kal Tad Gpyovikas éoTat yap gpwvy te kal owes
as \ -) \ \ x > of v [od ow \
mapa Ta alc@yta kal Ta Kad’ Exacta, wore OHAov STL Kal
at dAAa aicOjoes kal Ta GAAa aicOnra: ti yap paddov
Ud x / I] s a ‘ ~ + 4
tave 9 Tdde; ef 6€ Tatra, Kal (Ga EoovTal, ecimep Kal
> Ps yy / a , c X\ lal
aic@noes. eT ypaderat Evia KaboAov t70 TOV pabnpuart-
n XN - ‘ 2: yy » 4 vA
KOV Tapa Tavras Tas ovolas. eora otv Kal airy Tis GAA
r pee \ / n | eo a s n vA &é
ovota peragd Kexwpiopern Tdv 7 ldeGv Kal Tov perakd, 7)
ovTE ApiOuos eoTW ovTE OTLypal ovTE y€yeOOs OUTE xpdvos. el
b20 pn] ra py E 27 rotrey tay Ci. Christ: tovzwy codd. : ray
Bonitz 28 ypappas JAY 30 éenimeda... aioOyra om. E
31 ra tert. EJ Al.: om. AP 32 raiAl.: om.codd.T oreypat
d€ wevragal in marg. J 37 map... 39 dprOuev om. T 38 ta
addidi 39 yen cmetpa Ty recc. ia et fort. Al. 107772 é€ora
ut vid. Al., Bonitz: éori codd. T 3 (ovpavov mapa toy aia@nrév)
ovpavoy Jaeger 11 4% AP 12 ortypy recc.
2. 107619 — 10779
E
31 ra tert. EJ Al.: om. AP 32 raiAl.: om.codd.T oreypat
d€ wevragal in marg. J 37 map... 39 dprOuev om. T 38 ta
addidi 39 yen cmetpa Ty recc. ia et fort. Al. 107772 é€ora
ut vid. Al., Bonitz: éori codd. T 3 (ovpavov mapa toy aia@nrév)
ovpavoy Jaeger 11 4% AP 12 ortypy recc.
2. 107619 — 10779
6€ Todo ddvvarov, bijAov Ori KaKeiva adbvarov eivar KEexwpt-
tA la) n oY lal
opéva Tov aloOnrav. bdAws b€ TovvayTioy cvpBaiver Kat TOD
GAnOods Kal rod elwOdros trodapBdvecOa, «i tis Onoe
otros eivar Ta pabnpaTiKa ws Kexwpiopevas Twas piceis.
dvaykn yap ba TO pev otrws civar adras mporépas elvat
tov aloOnrdv peyeOGv, Kata TO GAnOes be torépas: TO
> > Y J / x / , > an > / >
yap aredes péyBos yevéoes pev mpdrepdy éoti, Th ovoig 6
bortepov, oiov dpvxov eyiyov. ere tiv Kal mor ora ev
Ta paOnparika peyeOn; Ta pev yap evradda Woyn 7)
padnporics pe yeOn; pev yap xi 7
/ an / ‘
péper Woxijs 7) GhAw Twi eddroyov (el be py, TOAAG, Kal
dvadverat), exelvous b& b.aspeTois Kal Tocols ovat Ti alriov
Tov ev civat Kal ovppeévew; ert ai yeveoess dnArodow. Tpd-
Tov pev yap emt pijxos ylyvera, eira emt mAdros, Tedev-
n > / ‘ / > be ol \ na t
7 & els ae Kal aos goxev. el oby 70 Th yevares
a , A , ries
vorepov tH ovola mpdrepov, TO cya mporepov dy ein emim€dov
/ 4 , y A os bd
Kal pajkovs: Kal ravrn Kal réAevoy Kal Odov paAdov, bre
pa 7 ‘ s ot x CIS ery nt
Eupvxov yiyverauy ypappn oe eyrpvyos 7 énimedoy TOs
av ein; tmép yap tus alcOjoes tas jyerepas av ein TO
Ggiopa. rr TO pev cpa ovola tis (jin yap exer Tws
x J € SS ‘ lad Dine f, + X 4 e
TO TéAELov), ai b€ ypappat ms ovoia; otre yap ws Eidos
/ a € DS fa) oY c €
kal poppy tis, olov ef dpa % Worx) Towtroy, otTe ws 7
ao wn nr AX x ) cal 399 5 /
tAn, olov Td cGpar ovdev yap ek ypappav ovo émmédov
’ na vd - If ° a > ° 4
ove oTiypav halvera ovvictacba bvvdpevor, «i & iv obtoia
Tis vALKH, Tobr ay edaivero buvdpeva mdoxew. TO pev
thy p xew. 79
> 4 a 4 > > > J cA rn VA ,
ov Aoym €oTw TpoTEepa, GAA ov TaVvTA Oca TH OyYH TPpO-
TEpa Kal Ti ovolga mpdrepa. TH pe yap ovola apdrepa boa
, an > is lal , x A €
Xopiopeva TH civar drepBddd\eL, TH Adyp GF Bowy ot
Adyo. x TOV Adywv: Taira be oix Gua imdpxe. ei yap
ae 2! >. x s > 4 - / , A
pay Cott TA TON Tapa Tas ovclas, oloy Kiwovperdv TL 7 dev-
KOv, TOU AevKod avOpemov TO AevKOY TpdTEpov KaTa TOY Adyov
> 2 > X\ \ > Lh > x > f >
GAN od KaTa TiVv ovoiav' od yap evdéxeTaL Elva, KEXwpt-
opevoy GAN del dpa TS ovvdcm eotiv (cbvodoy be héyw
tov GvOpwrov tov devkdv), Bote avepoy Ort ovte TO e&
420 post ér add. ev E et sup. lin. J kai mor’ Bonitz: kai ras T
22 evoyor Jaeger: evAdyw codd. © Al.: an etAdyws? 31 Tis
TiAl.: ris codd. yer om. AP 33 7 alt. om. J 36 Suvapeva
om. Al. >4 cx omittendum ci. Schwegler tmapxet det. €
Bywater 5 t1om.utvid. Al. 9 rdvalt.] cairo Al® 76 om. AT
1077?
or
10
15
20
25
30
35
10784
or
TQN META TA ®YSIKA M
© Al.: an etAdyws? 31 Tis
TiAl.: ris codd. yer om. AP 33 7 alt. om. J 36 Suvapeva
om. Al. >4 cx omittendum ci. Schwegler tmapxet det. €
Bywater 5 t1om.utvid. Al. 9 rdvalt.] cairo Al® 76 om. AT
1077?
or
10
15
20
25
30
35
10784
or
TQN META TA ®YSIKA M
3 / i) + \ 3 / A b)
aaiperews TpdTepovy ovTe TO Ex TpoabEcews VoTEpoy: ek
/ sy na A ft A » /
mpocberews yap TO AEVK® O AEvKOS GVOpwTos AEyeETal.
7 x 9 + nies ta) n ig + a +
Ori pev ody ovte ovola, padAov TGV cHpaTwv eloly ovTE
, fal a a 3 Yap oh \ n , / BA
mpoTepa TH iva TGV aicOyTay GAAA TO Adyw MOVOV, OUTE
Kexwplitpeva mov evar duvaror, eipyrat tkavas: eémel 0 ove?
3 a 5) val a t EJ EaGS > \ oe Nek
€v Tots aicOnrots evedexero avTa eivat, pavepov OTt } OdAws
ovk oT 7) TpdToy Twa eoTL Kal dia TodTO ovy amAdS EoTWW
a bs \ oy / ef \ \ Ny /
ToAAax@s yap TO civar A€yovev. GoTEP yap Kal Ta KaOd-
ov ev Tois pabypacw ov Tepl KEexwplopéevev eotl Tapa
NX, / \ \ . nN ra A \ / / > ee
Ta peyeOn Kal Tovs apiOyovs GAA TeEpl TOUTMY MEV, OVX 7)
a @ XN a
d& tovatra ofa exew péyeOos 7) etvar diaipera, SHAov Gre
evdexerar kal wept rév alcOnrdv peyeOdv elvat Kat Adyous
\ b) 4 \ e s 3 x > > ze. %¢ vA
kat amobetées, pr 1 S€ alcOnTad GAN 7 Tovadi. domep
Ni VFS 7 a \ s eae \ a ,
yap kal 7) Kwovpeva povov Toddot Adyou elo, xwpis TOD TL
€xacTov é€oTt TOY ToLovT@Y Kal TOV oupBEBnKOT@Y avTois,
a xX
kal ovk dyaykn dia Tatra 1) Kexwpiopevov TL eivar KwWov-
pevov tov aicOntav 7H év Tovros Twa dow elvar adw-
pirpevnv, otrw kal éml TOV KiWovpev@y EoovTar Adyo Kal
2 lel > e , SS ae , , \
eTLOTHMAL, OVX 7} KWovmEeva O€ GAA’ 7} ToaTA MovOY, Kal
/ a en 76 / \ e / , Nee x
madw 7 éenlreda povoy Kal 7 pajKn povov, Kal 7 dialpera
kal 1) ddwalpera €yovta b& Oéow Kal 7 ddiaipera povoy
ni peta &x i peta pdvor,
vA tee Ni Fe: ny / Pl XS XN / >S X\ >
Oot emel aTAGS E€yew GANGES 7) povoy Ta XwpLOTa civar
5 \ \ oS \ ! oe Ve > \ x
GdAAa kal Ta pi) xwpioTrd (oloy kwotpeva civat), Kal Ta
S; ig x « na 3 XN > tal \ ~ /
Mabnuatika OTL €oTw amAGS aAnOes cimeiv, Kal ToLatra
i) / S Led \ \ BA si / 3 n
ye ota N€youow. Kal @oTEp Kal Tas GAdas ETLOTHMAS aTA@S
2 XS > ~ 7 > b) \ a , 5x4
dAnbes eizety rovrov eivat, ody) Tod cvpB_eBynKdros (oloy dre
Aevkod, ef TO Hyrewov Aevkdv, 7 8 €otw byrewod) GAN exelvou
ob earl éxdorn, ei (7) byvewdv tyrewod, ef 8 7} dvOpwro
n, eb Gh) tye yrewod, el 8 3} dvOpwros
> , [vA A NX / > > f > xX
avOpdrov, oUTH Kal TY yempeTplay: ovK ef cvUBERnKEV alcOnTa
~ or b) 2 Ny) NO / > a ? al ” €
elvat Ov eorl, mi) €oTL Oe 7 alcOnTa, ov TGV aicOnTav EcovTat ab
\ 2 2 > / PASS \ fa) cA
paOnuarikal emuoTHpal, ov pevTor ovde Tapa Tadra aAAwv
/ x XS é / > c X a /
KEXWPLOWEVOV. TOAAG OE TvUBEBHKE Ka’ avTa Tots Tpay-
al ” €
elvat Ov eorl, mi) €oTL Oe 7 alcOnTa, ov TGV aicOnTav EcovTat ab
\ 2 2 > / PASS \ fa) cA
paOnuarikal emuoTHpal, ov pevTor ovde Tapa Tadra aAAwv
/ x XS é / > c X a /
KEXWPLOWEVOV. TOAAG OE TvUBEBHKE Ka’ avTa Tots Tpay-
bio, 11 mpobécews AP II rod Aevkov ci. Bonitz 14-5 ovdey
tois JAP 18 mapa Al.¢ Syr.!: mepi EJAY Syr.? 28 ovxi
7 E 30 dé om, AT 32 otoy] otov ra Syr.t 36 7O vytewop
recc. Al.: iyewov r6 EJASyr.! Bonitz: 7 codd. Al. tyrewod
yp. EAl.: iyewdv EJA> Syr.t 1078* I ov €otiv éExaorn recc. Al.:
7 eat éxactov EJAP ei J (sed in ras.) P Al. : om. EAP Syr.t
7 add. Bonitz 7 om. Al.: @v Rolfes
2. 1077) 10 — 3. 1078 2
pacw i Exacrov bmdpxe. TOy To.ovrwv, émel Kal F OHAv
TO (Gov kal 1) dppev, tdia man orw (kalro. ovK eore Te
OnAv od Appev KeXwpiopevoy TOV (wv) SoTe Kal H MHKN
povov Kal 7 énimeda. Kal dom oi) dv Tepl mporépwy To
hoy kal GmAovoTEpwr, ToToUTH paAAOv exEL TO AKpLBEes (rodTO
d€ TO amdody eoriv), dote dvev Te peyeOovs paAAov 7) peTa
MeyeOous, Kal pddtora dvev Kwiyoews, édv 5é xklvynow, pd-
iota THY TpdTnv: amrovoTaTn ydp, Kal TavTns 7 Suadn.
6 8 avros Adyos Kal wept Gppovikijs Kal dartuKijs: odderépa
yap i Aus i) 1) pwvip Oewpet, GAN 7 ypappal Kal dp.d-
pot (oikela pevtor tadra mdOn exelvwy), Kal 7) pnxXaviK)
d€ woa’Tws, dor eb tis O€wevos Kexwpiopeva TOV oLpBE-
e
BykéTov oKomel TL Tept TovTwy 7 Tovaira, covey did TodTo
Weddos Wetoerar, domep ovd srav ev TH yh ypddn kal
. p erie
vA a bs X\ Y og > \ > tal /
mobeaiay pi nie modiatay: ob yap ev Tats mpotdcect
an > x A
TO Weddos. dpicta O ay otrw OewpnOein ExacTov, et Tis TO
Ma) Kexwpiopevoy Gein xwpioas, Omep 6 apiOunriKds Tote?
kal 6 yewpéerpys. ev pev yap Kal ddiaiperov 6 dvOpwros
9) GvOpwmoss 6 8 ero ev addvaiperoy, cir’ eOedpnoe el Tu
TO GvOpdsTH orpBEB yf adual, 5 be eT pNs
Q pdme mBEBnxev 7) Gdiatperos. 6 S€ yewperprs
+a? @ + —y? @ 3) 7 bs has EY id a \
oe 7 eee pemes ovd x ad.iaiperos GAN 7) oTEpeov. a yap
> a la ¢ an > lal los “/ ni
Kav el py Tov HV ad.atperos dmHpXEV avTG, SHAov StL Kab
+ “4 ) / . Ee ten € BS , 4 \
avev rovtwy evdexetar adtd tmdpyew [1d dvvardv], doTe dia
TovTo 6pOGs of yewperpat A€yovot, Kal mepl dvT@V diadr€yov-
4.5 yy > ¥. \ \ X\ 2 \ i 3 f
Tal, Kal dvra éoriv: dutrov yap TO ov, TO pev evTedexeia
\ 2 2e na > \ XN X\ ) Ss \ \ iN ef N\
TO O VALK@s. mel 6€ TO Gyabdv Kal TO Kadodv Erepov (Td
x \ Be ND / \ ws \ Ny a > 14
mev yap del ev mpdger, TO d€ KaAdy Kal év Tots Akuwyrots),
€ me Oe / : XX \ ] /, ‘
ot pacKkovres ovdev A€yEWW TAS paOnuaTLKds emLOTHMAS TEpL
a oN lal
Kahod } ayabod Wevdovra. A€yovor yap Kal derxy¥ovor pd-
huora: ov yap «i pn dvouddovor Ta 8 epya Kal Tovs Adyous
derxvVovow, ov A€youct TEpl atrdy. Tod dé Kadod peyLora €ldn
Tags kal ovpperpia kal TO wpiopevov, & pddioTa de-
KYvovolw at padnparikal emuoThpar. Kal emel ye TmoAAGY
26 ereiom. T 8 Keyopiopevoy AP pnkn pdvov] pr Kivov=
pevov Al. II re] rou JAP 13 arn Al. opadns EJ Al.
Syr 15 77 A> 18 7 AP 20 rodtaiay dn thy i Al.
Tod dé Kadod peyLora €ldn
Tags kal ovpperpia kal TO wpiopevov, & pddioTa de-
KYvovolw at padnparikal emuoThpar. Kal emel ye TmoAAGY
26 ereiom. T 8 Keyopiopevoy AP pnkn pdvov] pr Kivov=
pevov Al. II re] rou JAP 13 arn Al. opadns EJ Al.
Syr 15 77 A> 18 7 AP 20 rodtaiay dn thy i Al.
Bonitz: rv rodtaiay py codd. 26 7 pr.| 7 6 AP 28 rovrov
fort. Al. ~ 7d dvvaréy codd. Al.: om. T
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TON META TA ®&YSIKA M
airia datvera tatra (Aéyw 8 ofoy H ra€éis Kal TO a@pt-
/ lal ao oN A ‘\ 4 , X
opuevov), Sprov ott A€youev Av Kal Thy Toladrnv airiay TH
os TO KaAddv alriov Ttpdmov twd. paddAov b& yrwplws ev
dAXous Tept adtav epodpev. Ta
Tlept pev ody Tov pabnparikev, ore Te dévTa éoTl Kal
ms OvTa, Kal TGs TpdTepa Kal TGs od TpdTEpa, Tocadra
| / \ ~ lal . n nr Sx 23: X X ie
eipnoOm: mept d€ TOY ideGv TpPOTOV avTIY THY KaTa THY
id€av dd€av emicxentéov, pnOev cvvdnrovras mpds THY TOV
apiOpav vow, GAN @s trérA\aBov e& dpyns ot mpOrou
\ PA f: a & / > € » 4 an PIN wal
Tas ideas dyoavtes elvar. ocvveBn 8 7 Tept TOV €lddv
dd€a Tois einodor bia TO TELOAVaL Tept THs aAnOelas Tots
€ 7 , c / n a) lal Pi Wi sae S
Hpakderetous Adyous ws TavTwov TeV aicdOnTaV Gel pEov-
Twv, aor elnep emuoTHuN Tivos eorar Kal ppdvnots, ETEepas
dey twas dtoes elvar Tapa tas aloOnras pevotcas: ov
yap evar tTév pedvtTwy emoripny. Lwxpdrovs dé wept Tas
nOukas dperas mpayparevowevov Kal mepl rovrwy dptcerbar
Ka0dAov (yrobvtos mpeéTov (Tdv pev yap hvoiky em piKpov
Anmokpitos ipyaro pévov kal wpicard mws TO Oeppov Kat
\ 4 c s , , ‘a Paws
TO Woxpdv' of 5& IvOaydpero. mpdrepov wept Twev ddrtyar,
év Tovs Adyous eis Tos apiOuods avnmrov, olov rl eorTL KaLpos
x \ , N td > a ’ b) , by 44 Si Fate
7 TO dixavoy 7) ydpos: exelvos 8 etAdyws eyrer TO Th eoTw:
ovdAoyiferOa. yap eter, apyn d&€ Tév ovdAdOyLoMeY TO
iN ss \ Ps Ss »” R13 9S ef ““
tl éoriv: diadrextiKy yap loyds ovmw Tér Hv dore dtvacba
kal xwpls tod rl éot. Tavaytla emucKonety, Kal Tov évav-
es 5 Ve LAS b) / / / 3 ed i >. -
tlov ef ‘ adrn emorhun dvo yap éotw & Tis dy amodoin
Nv J /, 4 > b} a , \ \ eae
Swxparer duxaiws, Tovs Tr emaxTiKovs Adyous Kal 7d dpiCe-
, ny lA ©) + \ > ‘A b) /
oOat kafodov' Tatra yap éoTw dyudw Tepl apxnv émoT?-
2 eden SS / \ , > p Snes 4
Bns)—aaArX’ 6 pev Lwxparns Ta Kabddrov ov xwpioTa errolet
ovde Tors dpicpotss of 8 exdpicay, Kal Ta Towadra Tov
dvtwy id€as mpoonydpevoay, wote SvvEeBawev adrots oye-
ddv TH atte Adym TavTwv ideas civar TGv KabddAoV eyo=
pevav, kal mapanAnowv donep av ek tis apiOynoa Bov-
Aopevos eAatTOvov pev dvTwy oloiTo ju) SvvHoETOal, TrElw
1078” 34 — 1079? 3 = A. 990%2-9919 8
D8 Kal mds mpdrepa om. T kat mOs ov mpdrepa E*JAT: om. E?
et ut vid. Al. 22 avnyov yp. E Al. 23 & om. recc. 26 Kat
TOV... 27 éntornpy secl. Maier 27 i] 7 AP droégn EAP
35 dtvacOa a
3. 1078b 3 — 4. 1079 28
, n by
3 = A. 990%2-9919 8
D8 Kal mds mpdrepa om. T kat mOs ov mpdrepa E*JAT: om. E?
et ut vid. Al. 22 avnyov yp. E Al. 23 & om. recc. 26 Kat
TOV... 27 éntornpy secl. Maier 27 i] 7 AP droégn EAP
35 dtvacOa a
3. 1078b 3 — 4. 1079 28
, n by
d€ momoas apiOpoin mrelw yap eor. TOV Kal’ Exacta
> (4) na = > cal Le 24 ® an ~_ > if 9,
aicOntav ws eineiy ta eldn, Tept Ov CyrodvTes Tas airlas 1079"
€x TovTwy exe? mpondAOov: Kal? Exactdv Te yap dpovvpov
By \ BS Sy tA an ot a By 3) oN
€0TL Kal Tapa Tas ovotas, TOV Te AAAwWY Ev EoTWW ET TOA-
AGv, kal emt roicde Kal él rots didiois. eri Kad? ods Tp6d-
mous delkvurat bt. €ort Ta €ldyn, Kar’ ovOéva haivera TobTwr"
on
e€ evioy pev yap ovk dvdykn ylyverOar ovddgoyopov, e@€
évioy d€ Kal ody Sv olovra TovTwr eldn yiyvera. Kata TE
yap Tovs Adyouvs Tovs éx TGV emioTHpaVv Cora eldn TavTOY
4 > red > Hs \ XS x a y ee, n \ an
dcwv emiothua eloiy, kal Kata TO ey emt ToAAGY Kal Tov
> vA s Ss \ a) 2 a a
atopacewv, Kata dS€ TO voely TL POapevtos TGV POapTar* 10
pavracya yap ti to’rwy ori. eri dé of AkpiBeoraro. TOY
Adywv of ev TOV mpds TL ToLodTwW id€as, Ov ov gacw
~ > TEN if € \ \ 7 » ty
elvat Ka avro yevos, ot b€ Tov Tpirovy avOpwrov héyovow.
ddws TE dvaipodow of wept TOV Elddv Adyou & Maddov Bod-
Aovrat eivat of A€yovTes etdn Tod Tas ideas civarr ovpPBal- 15
ES \ > lal X lA b} x \ > ,
pe. yap pi) elva mpOrov tiv dudda GdAAG Tov apLOpor,
kal tovrov TO mpds TL Kal Todro Tod Kal” atrdé, kal Tav0?
ira ~ > 4 tal nt DA , e]
bca tTwes akodovOncavres tats wept Tov clddv ddEais Hvav-
/ ~ b) a oi Xs x \ c , >
TLWOOnTaY Tals dpxats. ETL KaTa pey THY UVroAnpwW Kal
iA = \ > / > , n L an aN
hv pacw eiva tas id€as od pdvov TGV odoiOy EcovTar Etsy
GAAG Kal GAAwvy ToAAGY (7d yap vena kev od podvoy
\ ‘ > , > \ \ ‘ > > n i / Ay rd
TEpl Tas ovolas GAAG Kal KaTa pn OVTL@Y EOTL, Kal ETL-
OTHal ov pdvoy THs ovolas oovTar orpBalver O& Kal
adda prpla rovadra)» kara 5€ 7d dvaykaiov kal ras
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ddgas Tas wept adrd&v, ei ~ott peOexTa Ta €ldy, TOV ovoLdy 75
dvaykatov iddas etvar pdvoy: od yap Kata ovpBeBnKds
/ 2 \ cal , yee te = \ >
meréxovra add del Tavrn Exdorov peTexew mH pi) Kad
brokeyevov A€yovtra (Aéyw 8 ofov, ef tr adrod dimdraclov
> 36 éxacroy E} 107972 ka6’] rap Syr. reom. A: ri Ci.
Rolfes 3 te codd. TA(E Al.): om. A (A®), incl. Bonitz @\A@p
codd. TA (ET Asc.) : @\\ov dv A (A” Al.) II m2 om. J ToUToy
APA: rotr EJ Syrt: rod iT 17 kal rovro mpés Ti Kal Ka?
iré yp. E t Lal A v Dd] r5 rod JT: 7d AY;
QUTO yp. Tovrov et kavalt. om. A Tovro Tov] rd rod JT; rd ;
tov A (ET AI. Asc.), quod hic conicio 20 ov povoy TOY ovTLaY
AvA: om. EXJT: post ¢idn E? 21 dAAa E?APA et in marg. J:
om. EP cat E?A°TA et in marg. J: om. E? @ ov] dev re
J: érépwv APA et in marg. J mohAa@y]| ToNA@y KaL J —-22 Kara] ra
jP éori JAYTA: €srae Syr. et fecit EE «ai JA (EAL): cai ai E
AP Syr.1 A (A>) 23 «lai A Bonitz 24 tov J 27 bei] dy J}
tavtn EJTA: ravrnv AP 28 Aéyerar recc, A avrodimAaciov yp. EA
30°
J mohAa@y]| ToNA@y KaL J —-22 Kara] ra
jP éori JAYTA: €srae Syr. et fecit EE «ai JA (EAL): cai ai E
AP Syr.1 A (A>) 23 «lai A Bonitz 24 tov J 27 bei] dy J}
tavtn EJTA: ravrnv AP 28 Aéyerar recc, A avrodimAaciov yp. EA
30°
35
1079”
or
15
20
TON META TA ®YSIKA M
fal \ ” t
perexel, Todro Kal aidlov peréxer, GAAG KaTa cvpBEBn-
kdst ovpBéBnke yap TO ditrAaclo didlo civai), dore Era
Se XX y ON at 25 fay So , ° a. By
ovoia Ta €ldn* Tatta 8 evravOa ovciay onpaiver Kael 7)
> / — Le) BS
tl €orat TO elvar ava TL Tapa radra, TO ey emt moA-
Ov; kal ei pev-ravTd eldos rOv idedv Kal TOY perexdv-
Twv, e€orar TL Kowdv (TL yap paddAov emt rév dbaprdv
duddov, Kal Tov Svddwv Ttév ToAAGY pev Aldimv bé, Td
a A ’ fal los
dvas ev kal radvrév, 7) em adrijs kal rhs Tivds;) ef be pH
x TN o € i, BN y, Ne Ave x 4
TO avro eldos, Sudvupa av etn, Kal Guoiov domep av et
a
Tis Kadot avOpwrov tév te KadAlav kal ro Etdov, pnde-
piav kowawviay emiBrEWas airov. ei O& Ta pev GAda
pt \ ¢ > / , tal yy a
Tovs KoWwovs Adyovs Eedapporrew Onoopwev Tots eldeoww, oloy
ae 2 \ te na > ig \ on \ Z-
€m avTov tov KUKNov coxa €Timedov kal TA AOLTA jLEpN
an , \ ’ ud bl] \ Ua lal a x. \
Tod Adyov, TO 8 ob earl TpooreOjoeraL, TKoTEiVY Se? pH KEVOY
4
an an a aN
} Tobro TavTeA@s. tive Te yap mpooTeOnoeTaL; TO Meow 1)
n 5) / x lal / XX XX 5) n >’ i if
TO e€mimedy 1) TaoWw; TavTa yap Ta ev Th ovola idea,
Xi
1 ‘ x 4 2 a 4 ee! 2) AN
otov TO (@ov Kat TO dimovy. Ere dHAov 6rL avayKyn adTo
> 2
ce
e A 2 tg / \ a fal b] y
cival Tt, BoTEp TO eninedov, ptow TWA i) Taw evuTTapéer
Tois EldeowW OS YEVoS.
IIdvrwy 6& pddwcra Siatopyoeey dv tis th more oup-
/ x y Xx tal Dens a . a x tal
Baddrovrar ta €idn 7 Tots didiots Tév aicOnTrdv 7 Tots
ytyvopevots Kal [rots] pOepopévous: ovTE yap Kwiceds ear
ovre petaBordns ovdemas atria avrois. dGdAG pry ovre
mpos Tip emortnpny ovevy Bonbe? riv TOV Gdwyv (odde yap
cep th 2 al A 9 , > \ > 7 > bd \ Me
ovola exeiva tovrwy: ev TovTois yap av iv), or Els TO etvat,
/ lal ‘
pa evuTapxovTd ye Tols peréxovow' otrw pev yap tows
yy , x oS
GAN otros pev 6 Adyos Alav edkivynros, dv >Avagaydpas
pev mpdorepos Evdokos be torepos edeye diaTopGv Kal Erepoi
1079” 12 — 10807 8 = A. 99128 —)g
231 ovaia codd. TA: ovaias vel ovoidy ci. Bonitz ravra Al,
Bekker: ratra JA*TA (codd.): ravra E & évravéa] yap evravdd
re Al.c 36 émt ravrns Syr.! A (codd.) : emi 7’ airns Bonitz
b2 Kadoiot AP: kadoin A (AP Asc.°) Syr.} 5 xukdov]6 AP 7 ze
om. E in loco eraso 10 7. damnavit Christ xal) piow Jaeger
i) AP trapéet Al.¢ et ut vid. Al. 14 trois om. Syr.! A (A? Al.)
15 airia E ovre Bonitz: odd codd. A 16 ovde Bonitz: ovre
codd. A 19 airia T av om. AP es recc, A (AP Al.) : om,
EJA?IrA (ET Asc.°) 21 vorepov] JTA
4. 1079 29 — 6. 10807 19
(4 \ \ lal \ b) A \
twes (fddiv ydp woAAd ovvayayety Kal addvara pos
Thy Tovatrny dd€av)- GAAa phy ovde €x Tv €lddy Earl
1079 29 — 6. 10807 19
(4 \ \ lal \ b) A \
twes (fddiv ydp woAAd ovvayayety Kal addvara pos
Thy Tovatrny dd€av)- GAAa phy ovde €x Tv €lddy Earl
n ~
Tadva Kar ovdéva tpdrov Tov clwOdrwy A€yerOat. TO
fs n
de A€yew mapadelypara eivar cal peréxew aitdv ta Gdrda
ta J
Kevodoyely éoTl Kal petadopas A€yew Tountikds. Th yap
os X 5; / x \ bis b) J 2 J ,
€oTt TO epyaCdpuevoy mpds tas ideas amoBrAérov; evdéxetai
Te kal eivat kal yiyverOar ériody Kal pa cixaGépevor, doTeE
Vw: ip \ Ns cy J a oh o /
kal ovTos XwKparovs Kai py ovtos yevoit ay olos Lwxpa-
Tys* dpotws d¢ SHArov Ore Kav ei iv 6 Twxpdrys ald.os.
éorat te TAclw Tapadelypata Tod atrod, Bote Kal edn,
oe a 2 , ‘ ~ \ si 7 ed aN \
olov tod avOpdmov TO (Gov Kat ro Sdimovy, dua o€ Kal
avroavOpwros. er. ov pdvov Tév aicOntGv Tapadelypyara
X ¥ 3 NX \ eo a A x a « /
Ta e€l0n GAAG Kal atrév, oloy TO yévos ToVY ws yévous
ID oe \ IN oa / \ bee wy ,
ei0@v* OTE TO AUTO ETAL Tapdderypa Kal ElKOV. ETL OO-
x PENA \ a \ eA 4 \ a & : SP
feev Gy ddvvatov xwpls elvar tiv otoiav Kal ob 7 ovcla
n na J KA
@ote TOs av at ldéar ovoia tév Tpayyatwy odca xwpis
B °° XX cal / a v4 . , & XN
elev; ev 0€ TG Daldwyi Toitov €yeTar TOY TpOTOV, ws Kal
a > \ ca s wy \ b4 > rg / las
Tod elvat Kal Tod ylyverOa airia Ta eldn eotiv: Katro. Tov
clddv dvtwv bums od ylyverar ay pH 7 TO KUHoOV, Kal
TOAAG ylyverat Erepa, ofov oikia Kal Oaxrvdvos, Gv ov
a ¥ ¢ a ” 2 of ao a
gacw ecivat etdn* wate SHAov Sri evdexeTaL Kakelva, dv
“i 2 / ca \ a \ i \ ee
gacw idéas civat, Kal civar kal yiyverOar dia Tovatras
airlas oias Kat ra pnOévra viv, GAN ov dia Ta edn.
2 \ \ x a > na \ a \ , \ x
GAG wept pev TV ideGv Kal TovTOY TOV TpoTOV Kal bia
Aoyikorépwv Kal akpiBeotépwv Adywv EoTL TOAAG ovvaya-
a a /
yety Suova Tots TeOewpnyevors.
"Emel 8& dudpictar wept Tovrwv, Kadds exer mdAW
na \ = lal
Oewphjoa. Ta wep Tovs apiOpodvs crpBaivovta Tots r€yovoww
ovatas avrovs elvat ywpiotds Kal Tév dvTwy aitias Tpdéras.
>
avayxn 6, elmep eotlv 6 apiWuos dtois tis Kal py GAAH
, 3 > “1 9: 7: 2 x rate} De. eo -
tls €oTw avtod 7 ovata adda Tobr atrd, GoTEep paci Twes,
qrow etvat TO pev mpOrdv TL adtod Td 6 exdpevoy, Erepov
A a wy oe \ a Ke Dok n / >A»
ov TQ elOEL ExacTov,—kat Tovro 7 emi TOV povadwy EevOds
/ a a
tmapxet Kal éotw dovpBAntos dmovacdy povds dro.gody
Dion dmoBhérav AY 28 re] yap iA (ET Asc.®) — dreodv] Bporov
ériody A Bonitz 29 otos A (A? AI.) : ofov codd. T 30 «i
qv iA: et codd.T 6 om. E 10802 9-10 kat diadextikwrépwy
fecit E: om. T 14 avrois E
2
5
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TON META TA ®YSIKA M
NK los tad a
povddi, 7 evOds eeéns maocar Kal ovpBAntal dro.atody
drovacoby, oloy A€yovew evar Tov pabnyatiKdy apiOudorv
73 AN a n INN La > / XN, {es
(€v yap TS pabnuarixG ovdev Siaeper oddeula povas érépa
s NEA é Ee ! t € N \ ° Rare
mera TO ey TpoTn 7 dvds, emerta 7 Tpids Kal otTw 7) O
dAdros apiOuds, lot 5& ovuBdAnral at ev Exdoro Aapioud
povades, oloy at ev TH Svdd. TH TpeTy avrats, Kal ai ev TH
, St} vd « a \ vA \ S.-X na A
Tpidd. TH mpdétn adrais, kal otrw oi emt Tdv dddwv
apOpyav: at 8 ev rh dvdd. adr mpdos Tas ev TH Tpiade
fe 2 OP n Tp
A > - £ 4 XS * Poa n BA oN
avTn aovpBAntot, Opolws S€ Kal emt TOY GAdwv TOV
3 fed > lal \ . € XX x b) n
epeeis apiOudv: S00 Kal 6 pey pabnuarikds apiOpyetrat
pera TO ey d0o, mpds TH Eutpoobey evi Addo ev, Kal Ta
tpla mpos tots dvai tovrois GAAo ey, Kat 6 Aoumds OF
€ , a s ns aS 7 el PA on 6 EN ey
aoatrws: otros 6& peta Td ev vo erepa dvev TOD Evds TOU
/ \ ¢ \ x a / c / \ \ €
TpeTov, Kal 7 Tplas avev THS Svaddos, Opmolws OE Kal O
BA S. , s\ 4 DS O. a 9 at o € n
dAAos apiOuds) 7) Tov pev elvar Tov dpiOydv olos 6 7pO-
Tos eA€xOn, Tov 8 ofoy ot pabnparixol A€yovor, Tpirov dé
a Xx
Tov pnOێvTa TedevTaioy: ert TovToUs. 7) XwpLaTOs elvaL TOvS
a oN ny J EN x \ > thet I tal Pd
apiOmovs TOV TpayyaTwy, 7) OV YwpLaTovs GAN ev Tots aicOn-
a ’ Cee Det 5 \ cal 3 a >) Dy re 3
toils (ody otrws 8 ws TO TpGrov éemecKkoTObpEV, GAN Os eK
n ~ fas y) , y \ > rt EN \ S
Tov apiOudy evuTapxévtav évta Ta alcOyntd) 7) Tov pe
Tas i XK
avrav evar Tov d€ mij, TavTas €ivar—ol pev ody TpdToL
ed a b] / > \ a bn I ) b) 4 Nh
Kal’ ods évdéxera adrovs elvat obrol elow e& dvdyKns pdvot,
x > \ ¢ / \ a > ‘ » \ > VA
oxedov O€ Kal of A€yovTes TO Ev apxiy elvat Kal ovolay
kal oTo.xeloy mavtwv, kal ex tovrov kxal®dAAov twos etvar
Tov dpiOpdv, Exactos Tovrwy Twa TOY TpdTwY e€lpynKe, TIDY
Tod maoas Tas povddas elvar dovpBAjrovs. Kal TodTo cvup-
/ > 4 > X\ 2 / x BA / o
BeBnxev evAodyws* ov yap évdeyxerar ert GAAOV TpoToV €ivat
x \ > / € DS BS 2 if x ye int
mapa Tovs eipnuevous. of yey odv duoréepovs pacly etvar Tods
apiyots, Tov pev éxovta TO Tpdrepov Kal borepov Tas id€as,
BN S \ x x BIN \ \ by J \
Tov O€ paOnuarikoy mapa tas ideas Kal tra aicOyTd, Kal
\ > Ie a vd a 2 & \ \
Xwpliotovs audotepovs TOY aloOyrov: of b€ TOV paOnwariKoY
220 émoiaa E'AY: 6roia J: dmoraodyT 21 érovaody JT
25 ai om. AP 26 povadss] ai povddes AP avrais fecit AP
ai om. EJ Al. Syr.! 27 avrais fecit AY 36 of om. AP
b 2 émecxorotpev EJT AI. : emeckdrouyv AP 3 i) Trav J. 4 att ov E
i) mavras om. Syr.}, secl. Bonitz: 7) mdvras etvar i) wavras joy fort. Al,
9 elvac om, EJT Syr.!
6. 10808 20 — 7. 10812 10
AP 26 povadss] ai povddes AP avrais fecit AP
ai om. EJ Al. Syr.! 27 avrais fecit AY 36 of om. AP
b 2 émecxorotpev EJT AI. : emeckdrouyv AP 3 i) Trav J. 4 att ov E
i) mavras om. Syr.}, secl. Bonitz: 7) mdvras etvar i) wavras joy fort. Al,
9 elvac om, EJT Syr.!
6. 10808 20 — 7. 10812 10
; \ a n
pévov apiOpov etvar, Tov TpBtov Tdv dsvTwY, KEXwpiopevoV
Tov aic@nrav. Kal ot IIvOaydpevo. 8 eva, tov padnpari-
KOV, TAY ov KEXwplopevoy GAN ek TovTov Tas aicOnTds
A
ovolas cvvertdvar pacity: tov yap Sdov odpaydy xarackevd-
Covow e& apiOudv, mrjv od povadikGv, GAG Tas povd-
das tmoAauBdvovow exew péyeOos: Stas 58 TO mpGrov ev
avveorn éxov péyeOos, amopety eofkaow. dAdos S€ Tis Tov
a b) AN. \ cal INA e. oy By s \ \
Tp@Tov aplOuov tov rev €iddv Eva eivat, Evior dé Kal Tov
padnparikoy Tov avtov Todrov eivat. spolws d& Kal Tepl
‘ t¢ x \ \ > 4 \ \ XX / c XS
Ta pnkn Kal mepl ta enineda Kal ep) Ta oTeped. of pev
x el x‘. \ \ ~ XX SS OF pe
yap €repa Ta paOnuatika kal ra peta Tas id€as: Toy
dé GAAws Acydvt@v of pev TA pabnuariKa Kal padnyua-
TUK@S NEyovow, Boor pH ToLodor Tas iddas ApiOuots pnde
J lA PING € ne x / > na
ewal gacw ideas, ot b€ Ta pabypwariKd, ov padnuaTiKOs
4 \ / al
dé ov yap TéeyverOar otre péyeOos Tay els peyéOn, 000
drotacoby povddas dudda eivar. povadiKovs d& Tovs dpiOpyors
eva. mavres TWWéao1, TAN TOV TIvOayopelwy, Goo. TO ev
aToixetoy Kal dpxyv dacw eivar tov dvTwy: exeivor &
/ n
éxovras péyeOos, Kadarep elpnra. mpdrepoy. doaxyas pev
ovy évdexetar AEXOHvar wept adrdv, Kal br. mates elolv
elpnpevot ot tpdmoL, pavepdoy ex TovTwy: éore d€ TdvTA pev
ddvvara, waddov 8 tows Odrepa Tdv Etépwv. ;
an ‘\
IIp@rov pev otv oxenréoy «i ovpBdrnral alt povddes 7)
dovpBrAnro, kal ef dovpBAnror, Totépws domep S1eldomev.
ore mey yap dmovavoty civar dmoiaoby povdds dovpBrnror,
a be \ 2 SA a 5 dé \ \ 9) Ce a Mo)
gore O& Tas éy adh rh dudd. mpos Tas ev adrh rh rpidd.,
\ LA x 2 Je aN os bi eee bes} ,
kal otrws 37 dovpBArnrovs elvar Tas ev ExdoTw TO TPOTH
Gpiu@ mpds addjAas. el pev ody Tara. cvmBAnral kal
adidopor ai provddes, 6 padnuwarixds ylyverar dpiOyos Kal
a , x S PIN 4 > $) / a \ 2 ie
eis movos, Kal Tas ideas ovK evdéxerar Elva Tovs ApLOwovs
~ = x b) Ni THEA BY ‘ ~ EN A
(motos yap éorar adpiOuds atrd dvOpwmros 7) (Gov 7) GAdo
orwdy T&v cidGv; idea pev yap pla Exdorov, olov adrod dv-
Opdmov pla Kal adrod Cov GAdAy plas of 8 smoroe kal
big 5 Tov ex ray fecit A: an emitendiay (cf. 1083 23)? Kexo=
piopévoy en) Al.:: KEX@pLo mevoY E'NA» 22 eva... vot]
eva, €ivat Jaeger, secluso eiva 1, 23 23 tovroy] Tov Tovroy
b 33 ¢yovras E (s sup. lin.) Syre: : ¢xovra JAYr Syr.): €xov ut
vid. Al. 108126 pabnrixds AP 7 Tovs omittendum ci.
Bonitz 9 ortovy] Te ody KE} avroavOparov et 10 avrofatov E*
2573.2 K
15
25
35
1081?
on
TON META TA ®YSIKA M
vot]
eva, €ivat Jaeger, secluso eiva 1, 23 23 tovroy] Tov Tovroy
b 33 ¢yovras E (s sup. lin.) Syre: : ¢xovra JAYr Syr.): €xov ut
vid. Al. 108126 pabnrixds AP 7 Tovs omittendum ci.
Bonitz 9 ortovy] Te ody KE} avroavOparov et 10 avrofatov E*
2573.2 K
15
25
35
1081?
on
TON META TA ®YSIKA M
o > /
ddiuddopor dmeipor, ar ovey padrdov Hde 7) Tplas avroav-
x a. / +9?
Opwros 1 Srovaody), ef S& pr) eioly dptOuol ai idéaL, ovd
= e m a €
ddws oldy re adras etvar (ek rivwv yap evovrar apyav at
a fal / a
idéar; 6 yap dpiWyds éorw ex Tod Evds Kal ris dvados Tijs
15 dopiarov, Kal at dpxal Kal Tad oroLxela A€yovrat TOd apLOpuod
elvat, Td€ar Te ore mporépas evdéyerar Tov apiOyev adras
a
ov0’ torépas) ef 8 dovpBrAnror ai povddes, kal otrws dovp-
a an /
BAyTor Gore Hricody irwwodv, ovre Tov waOnuariKdy evdexETaL
elvar rodrovy tov dpiOpdr (6 pev yap pabnwariKds @& adia-
20 popwv, Kal Ta Sekvipeva kar’ adrod ws emt rovodrov ap-
ie: LA \ rn Pawel > \ Da is \ , >
porret) ore Tov TOv «lddv. od yap Eora 7) dvds Tpdry EK
a lod lal lol /
povades 7) of dpiOyol e& dv dAé€yovta, oloy ey i
4 \ 7 ‘ » \ a
tpitn povas éorar mply ta tpla elva., Kal ev TH TpLdde Te-
lf \fs / \ \ > \ / > \ SS a
35 TapTn Kal [7H] méwmTn mplv rods A4piOmovrs TovTovs. ovdEls Mev ODP
\ a an
Tov TpdToy Todroy elpnKey ad’Tov Tas povddas dovpPAnrovs,
Gort 0& Kara pev Tas exelvwy dpxds ebdroyov kal obrws,
TO81P Kara pevTor THY adjOevay advvarov. Tds Te yap povddas
mporépas kal torépas elvat evdAoyov, elmep kal mpoTn Tis
éort povds kal éy mpOrov, dpuoiws 8& Kal dvddas, elmep
kal dvds mpdrn €orw: peta yap Td mp@roy etAoyor Kal
5 avaykatoy dSevrepdy ti etvat, Kal ef devrepov, Tplrov, Kab
X an
otrw Oo) Ta dAdAa eefs (dua 8 duddrepa A€yewv, po-
vada Te pera TO ev mparny eivar Kal devtépav, kal duvdda
221 rovom.J 25 eel scripsi: émevra codd. T 29 ro om, J
30 re EJT All: om. AP 33 mréxovta J?AT Al. 34 tprade
(Kai rerpdb:) Jaeger 35 7) secl. Jaeger >3 Kal dvddas
d€ dpolas A
7. 1081% 11 — 108285
lA 2 / i x. lal / ‘\ \ a
mpdétnv, addvvarov). of 6€ Tovodor povdda pev Kal ev mpd-
/ ~ \\ 4 3 / \ / vA
Tov, devTEpoy b€ Kat Tplrov ovKETL, Kal dvdda TPOTHY, Sev-
AP 33 mréxovta J?AT Al. 34 tprade
(Kai rerpdb:) Jaeger 35 7) secl. Jaeger >3 Kal dvddas
d€ dpolas A
7. 1081% 11 — 108285
lA 2 / i x. lal / ‘\ \ a
mpdétnv, addvvarov). of 6€ Tovodor povdda pev Kal ev mpd-
/ ~ \\ 4 3 / \ / vA
Tov, devTEpoy b€ Kat Tplrov ovKETL, Kal dvdda TPOTHY, Sev-
J is \ 7 ae p \ x \ @ > 2 /
tépay d€ Kal Tpirny odkéri. avepoy Se Kal ru ovdK evdéxe-
sd > 4 ad € / / oD : oS
Tat, ef dovpBAnTo. Tacar at povades, dvdda elvar avrny
\ / oY cf A DA > 4 ot \ bo
Kal Tpiada Kal oUrw Tovs GAXovs dpiOwovs. adv TE yap wow
ddidgopor ai povddes av Te diapepovoar Exdorn €Exdorns,
+) > lal A b) \ > rs ‘\
avaykn apiOpetcOa Tov apiOuov Kata tpdcbecw, oloy Thy
dudda mpds Te Evt GAdov Evds TpoarebEvTos, Kal Thy Tpidda
+ RNY A tal au / \ \ A
G\Aov Evds mpos Tots dvol mpoorebEevTos, Kal TiHV TeTpAda
ocatrws: Tovrwy dé dvrwy dddvvarov Thy yéveow etvat TOV
apiOpav os yevvdow ex THs dvddos Kal rod évds. pdpiov
yap ylyverar 7 dvas ths tpiddos Kal atrn ths Terpddos,
Tov avrov b& tpdmov ovuBatver kal ent Tov exouevwn.
GAN ex tis Suddos ths mpérns kal tis doplorov bsvuddos
2. LP € J / if ’ TN iN / by
eylyvero 4 TeTpds, Svo Svades map adriy tip dudda et
d& py, pdpiov eorar avri) % Suds, érépa d& mpocéorat pla.
duds. Kal 7 Suds éorar ex Tod Eévds avrod kal dAXAov évds
i S a cd er 7 Nae lal / red
el 0& TodTO, ody oidy 7 elvat TO ETEpoy oToLXElov dudda ddpt-
A \ 14 a b) ’ > / e /
aTov' povada yap play yevya add’ ov dvada wpioperny.
” > SIN nN ! \ BAN \ ! an ”
érl Tap avriy THY Tpldda Kal avTiv THv dSvdda TOs Evov-
if
tat GAAat tpiddes kal dvddes; Kal tlva tpdmov ex Tpo-
/ a
Tépwv povddav kal totépav ovyKewtTat; mavTa yap Tadr’
4 > »\ /, ae 4 i ‘i fe
(dromd) éort kal tAacpaTadn, Kal dddvarov civar TpdtHV dud-
da, cir adriy rpidda. dvaykn 0, emelmep eorar Td ev Kal
? 3 4 ~ /.
) ddpiotos dvas oroixeta. ef 8 dddvvara Ta cvpPaivorra,
\ S bE) Ss m , 2 7 9 XN io
Kal Tas apxas elvat tavras advvarov.—e«i pev ody biddo-
pot at povades dro.aoty drovacoty, tratra Kal road?
érepa orpBalver @€ dvdyknss ei 8 ab pev ev GrdrAgw bid-
gopor. at & & TO atta apoyo adiddopor dAAnAaIS
4 \ vA wa ps 2), J iy S 2
povat, Kat ovTws ovdey édaTTm ovpBalver Ta Svoxepn.
olov yap év tH dexdd. adr evewr déKka povddes, ovyKel-
ta. 5€ kal ex Tovrwy Kal ex dvo TevTddwv % dexds. érel
8 ox 6 Tvyav apiOucs adrn 7 Sexds ode otyKerTar ék
TOY TLXOVTdY TEVTAdMY, HoTEp OSE povddarv, dvdyKn dia-
pepe Tas povddas tas ev Th dexdd. ravrn. adv yap mi)
P14 mpddecw AP 15,16 mporeOévros A 21 é« codd. T
Al.: e éx Jaeger 23 avry Ti Al. Syr.: atry EJ Ale: air AP
30 droma add. Jaeger: ddvvara fort. Al. Syr. eort] ctor AP
10821 ofov] of AP 3 atry JAP AL: attn E 5 ras alt. om, JA
K2
=)
on
T0828
TON META TA ®YSIKA M
ravrn. adv yap mi)
P14 mpddecw AP 15,16 mporeOévros A 21 é« codd. T
Al.: e éx Jaeger 23 avry Ti Al. Syr.: atry EJ Ale: air AP
30 droma add. Jaeger: ddvvara fort. Al. Syr. eort] ctor AP
10821 ofov] of AP 3 atry JAP AL: attn E 5 ras alt. om, JA
K2
=)
on
T0828
TON META TA ®YSIKA M
dtapépwow, ovd al mevrddes dioicovew e€ Gv early 7H deKds:
evel d& diaepovor, kal ai povddes diolcovow. et be diade-
povol, morepoy ovK evécovtar mevTddes GAhat GAAA jdvoy
a ¢ , Key. SNA y
attra. at ovo, n eoovra; elre O& ji) everovTat, aToTov:
3 3 / / x ‘ 2 2 if ri > X ow
ioelr évécovtal, mola ora dexds e& exelywy; od yap eoTw
érépa dexas ev th Sexdd. map atrnv. adda pi kal
érépa bexds ey TH Sdexdd. Tap adryy. & pay Kal
us n lan ‘\ /
avaykn ye pn ex tev TrvxovcGv dvddwv THY TeTpdda
ovykeicOar ) yap adpicros dvds, &s act, aBodoa Tijv
wpirpevny dudda dvo dvddas enoincer: Tod yap Anpevros
15 9v SvoTolds.—érL TO elvat Tapa Tas bo povddas Tiy dvdda
giow twd, Kal thy Tpidda mapa Tas Tpets povddas, TOs
ny
evdéxerat; 1) yap peOéEer Oarépov Oarépov, domep devKds
BA ~ A aed id > ra
dvOpwnos Tapa AevKov Kal GvOpwmov (ueréxer yap Tovrwr),
a) 4 > / / / e cy
n Srav 4 Oarépov Odrepov diapopa Tis, woTEp 6 avOpwTos
s O \ ot oy >s ‘\ 5s an >] >) & X de
20 Tapa Cwov kal Slmovv. ert Ta pev apf eoriv & Ta Oe
a x BS / e INN > id ee nn
piger Ta be O€oerr Gv ovdey evdéxerar bmdpxew Tais po-
vaow e@& Ov Buds Kal H Tpids: GAN Gomep ob dvo dv-
Opwmot ovx €v te map dporepovs, otrws dvdykn Kal Tas
/ \ b) 4 > / , x a \
foovadas. Kal ovx Ori adiatpeTot, diolcovot 51a TOTO? Kal
bs c \ > - > > iA X ‘ - AX
25 yap at oriypat ad.atperot, GAN’ Guws Tapa Tas dvo ovdev
érepov 7 Svas av’TGv.—adrd py odde Todro def AavOdveww,
4 vA / 2 € Uh > / ¢ £
drt ovpBalver mpotépas Kal tvorépas etvar duddas, dpolws
d& Kal rods GAdovs aGpiOuods. at mey yap & Th rerpddu
dvddes Eotwoay addjAats Guar GAN abrar tov ey TH
5) I , , > DN mae ov € X. ,
30 6xTdb. mpdrepal elor, Kal eyevynoay, Somep 7H Svas Tav-
Tas; ara, Tas Tetpddas Tas év TH Oxrdd. ait, woTe eb
\ ¢ 7: XX PIN \ @ > / \ x c
kal 4 mpétn dvas idéa, Kal atra idéar Twes eoovrar. 6
8 atros Adyos kal em rdv povddav: at yap ev TH dvaby
t
bad ap / ca xs t DS 2 a
Th TpeTH povddes yevvOot iis Ae apes tas UEC TeTpaol,
lad /
35 OOTE TacaL al povddes ld€ar ylyvovrar Kal ovyKeloerat
idéa e€€ ideGv: Gore ShAov bri Kdxelva ov idéar abra
Tuyxdvovew otoa ovyketweva eorat, oloy ei Ta Coa aly
26 mevrades AP Al.: mepmddes EJ 8, 9 (post p)), 10 évécovrat
EJAY: écovrat recc. i Al.¢ et fort. Al. 8 mevrades Al. et fecit
A>: mepmades J: meprades fecit E 9 aiom. EJ Syr) 4 ecovra)
évécovrar E? de] 67 APT Syr.} 17 Oarépov alt. ci. Christ :
6arepov codd. T 25 ddcaiperoy AP 31 el () mpaorn Terpas)
Jaeger 32 7 E2J: om, E1AP = 28€a] ar EXJA'T Jaeger
7. 10822 6 — 1082» 33
Tis ovyKelobat ex C@wr, ef TovTwv idéat ciciv.—dAws 5% TO 1082
moeiy Tas povadas diapdpovs Srwcoty aromoy kal mAa-
oparades (Ady S&> tAacpaTGdes TO mpos tmdbecw e-
Buacpevov) ovre yap Kata TO Tocoy obre KaTa TO TOLOY
10822 6 — 1082» 33
Tis ovyKelobat ex C@wr, ef TovTwv idéat ciciv.—dAws 5% TO 1082
moeiy Tas povadas diapdpovs Srwcoty aromoy kal mAa-
oparades (Ady S&> tAacpaTGdes TO mpos tmdbecw e-
Buacpevov) ovre yap Kata TO Tocoy obre KaTa TO TOLOY
fon , , t Deaf A A
OpGpev diahepovoay provdda povddos, avaykn te 7 loov 7 5
BA a b) , / SS Ps Ss / K"
avicov td 7 Lae} ayo f x a \
dukdv, @or el pare mrElwy pat eAdtrev, toos: Ta be
toa kal 6Aws ddiddopa radira wmorayBdvouev ev Tors
apiOois. «i 5& pj, 008 ab ey adrH TH dexdds dvddes
Gdidpopor eoovrar toar ovoa tiva yap airiav &€eu dEéyew to
£ / > £ ‘“ yx PI] > %
0 packwv adiapdpovs civary ETL ef ATaca povas Kal po-
vas GddAn bvo0, 7» éx Ths Suddos atris povds kal 7 ék
THs Tpiddos adryis dvas éorar ex diadhepovedy Te, Kal
= ey ms
TOTEpov TMpoTepa THs Tpiddos 7) voTepa; paddAov yap eo.Ke
Tpotepav dvaykatoy a a n ie ,.! € a Ss €
0 dpa rH dvdd. Tov povddav. Kal jyels pev troday
ea
XN
Bdvopev Giws ev kal ey, Kal ev 7 toa 7) dvica, dvo
> \ J \ ‘ \ 4 SS oy a: 2
eivat, otov TO ayabov Kal TO Kakov, Kal avOpwmov Kat tr-
Tov: ot 8 otrws éyovtes ode Tas povddas. eire bE pH
uv Mf cy is a > x BLANEY 53. an Ie
€oovTat at ideat apiOuoi. Tovro wey yap avTo dpOds A€Eyov-
c v¢ \ / > fal LJ 4 IO /
sw ot diaddpors tas povddas a€vodvtes ctvat, elmep idea
€rovTalt, womEep elpntar mpdrepov: ev yap TO e€ldos, at be
, > > / \ ¢ / \ c } ya
Movades et Gdiadopor, Kal ai dvddes Kal at Tpiddes oov-
2 £ \ b. \ > tal iA A A ‘\
Tat adiadopor. 10 Kat TO aplOpetoOar otTws, Ev dvo, jun
TpothapBavouevov mpos TS tadpxovt. avayKaiov avrois
Aéyew (ove yap 7 yeveois ota ex THs doploTov dvddos, ovr’ 30
idé 2 dé i) . 2 / Se ead idé > Ceerd
ideay evdexeras elvarr evuTdpger yap érépa idéa ev Erépa,
\ f x co / \ \ x XN € ,
kal mavra Ta €ldn Eévds pépn) 610 mpos pev Thy tnd0cow
> n 4 oe ? > Bb) n x x b a
dp0Ss A€yovow, Grws 8 od dpOGs* TOAAA yap avatpodow,
&
on
DI ek (oar ei rovrav EAl.: «i rovrey ek (owov JT: ek Cowv ei rovrwy
ex (gov AP Syr.! ai id€ar fort. Al. 5 povada om. AP 7 tows
tade J 8 ratra AP 9 airy ut vid. Al., Schwegler :’ ravry
codd, I 12 7 pr. A’ et ut vid. Al.: 7 6’ EJ’ 21 mAcior
rece. T Al.: meio EJA?
35
1083*
15
25
TQN META TA ®&YSIKA M
S) \ ee 9 eS of \ VA 2 7 ,
emel TOUTS y avTo exe TWA PHoovow amoplayv, TOTEpOY,
bray dpiOuauev Kal elmwpev ev b0o Tpla,. mpocAapBdvovres
b) a BN ~ 7 ca) \ 5) , \
apiOuodmev 7) KaTd peptoas. Tooduev S€ adyuotepws: 610
a Ne 3 4 n roo b) id I
yedotov ravrny eis TnALKavTHY THs ovolas. avayew Siapopav.—
lf ‘ a = a 7 7 V4 a a
mavtwy &€ mp@Tov Kadds exer Siopicacbar tis apiOuod
\
duadopd, Kal povddos, ef éorw. dvdyxn 8 7) Kata TO TO-
x
cov 7) KaTa TO ToLdy diapepew: TovTwy 8 ovdéTepov patverar
avayew Siapopav.—
lf ‘ a = a 7 7 V4 a a
mavtwy &€ mp@Tov Kadds exer Siopicacbar tis apiOuod
\
duadopd, Kal povddos, ef éorw. dvdyxn 8 7) Kata TO TO-
x
cov 7) KaTa TO ToLdy diapepew: TovTwy 8 ovdéTepov patverar
evdexerOar tmdpxew. add 7 GpiOuds, Kara TO Toodv. et
\ XN \ € / n lal fe \ 9 X
de dy Kal ai povddes TO TOTG Siehepov, Kav aptOyos
an nn va an
apiOpod diuepepev 6 ioos TO TAHOEL TOY povdday. €rL TO-
n \
Tepov at mpOrar peicovs 7) eAdtTovs, Kal al Yorepov em-
d no
diddaow 7 Tolvavriov; TavTa yap tadra ddoya. adda
/ x
py ovde Kata Td Toldv diadepew evdexerar. ovdev yap
avrats otdy te wtmdapxew Taos: torepov yap Kat Tots
S a \ i »
apibyots dacly tmdpxew TO ToWy TOD TooOd. ETL ovT av
and tod évos Tobr adrals yévoiro ovr dv amd Tis dvddos
\ X xX > A c SN ld fal XxX XN
TO mey yap ov rowv S€ TocomoLov? Tod yap ToAAG
>> ya AN. ; ay vA c 7 » | > x oy
Ta 6vta eivat aitia atrn » vous. ef 8 dpa exer Tws
vA iy) Ss. >) n t n \ / \
dddws, Aexréov év Apyn pddvotra rotro Kat SiopioTéov Tept
r A
povados Siapopas, pdduora pev Kal dude avayKn drap-
5) N / r I, / N > + aes
xew: ef 5€ yy, tiva A€yovow;—é6ri pev ody, elmep eioly
Se Rye 35 / x X BS / € /
apiOuot at idéar, ovre cupBAnTas Tas ovadas anacas
evdexeTran civat, havepov, ovte dovpBAntovs aAAHAaLs ovdE-
a , b SS XQ 39) c ed , /
Tepov TOV TpdTwV' GAAG pay ovo os Erepol TwWeEs €yovaL
mept Tov apiOuev A€yerat KadGs. elol 8 obrou boo. idéas
pey ovk olovrar eivar ore ATAGS obTE ws ApLOpovs TiVas OVoAS,
XX \ xX & \ \ 3 \ lA a wv
Ta O& paOnuarika eivar Kal Tovs apiWyovs Tperovs TOV OV-
Tov, kal apxijy avrév ecivar aito TO ey. dromov yap TO
ev pev eival TL mpOtov TOV évdv, Gomep éxeivol pact, dvdda
de TOv Svddav pr, pnde Tpidda Tov Tpiddwv: Tod yap
avtod Adyou mavTa éoriv. ei pev ody ovTws exeL TA TEpl TOV
X / ™
apiOpyov Kal Onoer Tis elvar TOY padnuariKoY fdvoV, OUK EoTL
\ & 3 A e t DN / \ A 24 ~ mn
TO ev dpxn (avaykn yap diadépew To ev TO TowtTo Tov
b 36 plura in textu habuisse vid. Al. Syr. 108391 de EJ'T et
ut vid. Al. : re J?AP 2 8’] 6% recc. 4 tmdpxew scripsi, fort.
legit Al.: tmdpxov codd.P 76 AP Al. : om. EJ Syr. 7 ai alt,
om. JI:Al. 12 Tov Tavrais J 13 mocorady E? Syr.: moody
mov E1JAY Al, 14 a’ryns EJT 20 Tov E 23 paby-
tuka AP
8
7. 1082 34 — 8, 1083 28
Al. Syr. 108391 de EJ'T et
ut vid. Al. : re J?AP 2 8’] 6% recc. 4 tmdpxew scripsi, fort.
legit Al.: tmdpxov codd.P 76 AP Al. : om. EJ Syr. 7 ai alt,
om. JI:Al. 12 Tov Tavrais J 13 mocorady E? Syr.: moody
mov E1JAY Al, 14 a’ryns EJT 20 Tov E 23 paby-
tuka AP
8
7. 1082 34 — 8, 1083 28
dAkwv povddav: ef 5 Todro, Kal dvdda Tid mpdtnv Tov
duddav, dpolws de Kal rods GAdovs dpiOuors Tods epekjs) Et
d€ é€ort TO ev Gpxy, avaykn paddov domep TAdrwv ére-
yey €xew Ta Tepl Tovs apiOuovs, Kal eivar dudda mparnv
kal tpidda, Kal od ovpPAntods clvar Tods apiOuovs pds
adAjdovs. dv 8 ad mddw tis tO Tadra, elpyrar re
advvara ToAAG ovpBatver. GAG pay avayKkn ye 7
A te > if, wo. oe >? 2 / > oN 2 ,
ovrws 7) éxelvws exe, Bor ed pnderépws, odK Gy evdéxouro
> \ 3 A , A > > U4 \
elvat Tov apiOuov xwpiotov.—davepov 6 €xk TovTwY Kal TL
xelpusta A€yerat 6 Tpitos Tpdmos, TO eivar Tov adtov dpib-
pov Tov Tév €ldGv Kal Tov pabynparikdy. dvdyKn yap eis
4 , tA / ie v2 BA x
play do€av cvpBaive dvo0 dpaprias: otre yap padnua-
\ > \ pI / fa) L. J ‘ , > ? ID 7
Tukoy GpiOyov evdexeTat TovToY eivat Tov TpdTOV, GAA’ dias
tmodecers tmo0euevov avaykn pykbvew, Ooa TE Tols ws
eldn Tov dpiOuov A€yovor cvpBaiver, Kal tatra dvaykatov
A€yew.— Se rdv HvOayopetwv tpdmos TH pev eddrrovs
éxet Svoyepelas Trav mpdrepov elpnuevav, TH Oe ldlas éré-
x Xp porepov elpnpévor, Th
A \ \ tal \ \
pas. TO Mev yap pa xXwpioToy Tovety TOV apLiOuov ada-
petra, TOAAG TOY ddvvaTwv' TO S€ TA obpara e€ Adpib-
pov civat ovykeiveva, kal Tov apiOyov Todroy «civar pabn-
‘ D7 / bp] EA Ss BA / 4
patikov, advvardy éotw. otre yap droua peyeOn éyew
> / a / a oo \ , > 7
aAnbes, ef O bru pddtora Todroy €xer TOV TpdToY, ovx al ye
/ fy w” / XS >) p) / tal
povades: péyeOos éxovow peyeOos Sé €€ adiaipéeTwv cvykei-
lol / 5 s XN rd > ? \ 2 x
cOar ms duvarov; adAG pV 6 y apiOunTtiKos apiOwos
, 3 . 3 la x A 9. fe , > / S 7 > / A c
cipnpevov TpdTav, ovdeva € TovTwY EvdExXETaAL, PavEpoY ws
ovK éoTW apiOyod Tis ToLadTn tots olay KaTacKevacovow ot
Xwpiorov Tmovodytes adtév.—eri Térepoy ExdoTyn povas &x Tod
a oN a a
peyddov Kal puukpod lcacbevtmy éoriv, 7 1) ev EK TOU puLKpod
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13 tay duray] rovrwy Zeller, trav (oor kat uray ex Al. ci. Christ
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ovde recc. 5 18 vAns Schwegler njT: 7 er Syr}: 78E
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TON META TA &Y3IKA N
a a na a x xv
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‘ na
30 overt Adyw dv Hdapes de 7 ev apiOuG axparov dv. Ere ot
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a a e a a \
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n a \
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(en re) \ laa XN y e Va a a £ "¢
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n n fod n /,
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ye Exdorov Tod Biov kal HArkias: rl ody KwdAveL evlovs pev TOU-
Tov TeTpaydvous elvat eviovs b& KvBovs, Kal toovs Tovs
de dimAaclovs; odPey yap KwAver, GAN avdyKn ev Tovrots
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E vo Al. Syr.} 23 8 alt.] 6) Diels
6. 1092 27 — 1093» 22
Id n n
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tpla pdvov éotly GAN ody bri al cuvpdwviar tpels, ered
mAelous ye ab ovpdwvia, evrad0a 8 odkér. Svvatat. oporot
57) Kat otro. Tols dpxatous “Opnpixots, ot puxpds dpoudry-
Tas Op@ou peyddas b& mapopdow. dAé€yovor Sé Ties OTL
TOAAG Toladra, olov al re péoa 7 pev evvéa 1 de dKTO,
kal TO mos dexaettd, lodpiOuov rovrous, Baiverar O ev
wey TO debi evvéa ovddaBais, ev b& TO ApioTEepO OxKTa:
kal dru toov TO didornua ey Te Tots ypdypacw ard Tod A
mpos TO Q, kal amd Tod BopBuKos em) thy d€vrdrny [ved-
Tnv| ev addois, 7s 6 apiOuos toos Th ovAopedela TOD ovpavod
7 » hs 6 dp fj obdAopedelg pavod.
econ Xx lal \ cal /
opay d€ det pi) Tolatra ovbels dv Gmopnoeev ovTe A€yew
ov@ etpioxew ev tots didlos, emel Kal ev Tots pOaprois.
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econ Xx lal \ cal /
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/ 3 7 x ira = > cal / c xX
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ye oKoTOvpEevois diadetyew (kar ovdéva yap tpdTov Tov
dimpirpevav mepl Tas dpxas ovdev adrGy airiov) éoTW ws
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7 > \ loa na na \ f. \ 2 y oe / y
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25
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Tas apxas.
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BOOK Z
SupsTANcE (chs. 1, 2).
What ‘7s’ in the primary sense ts substance (ch. 1).
1028* 10. While ‘is’ has the various senses distinguished in A. 7,
what ‘is’ in the primary sense is substance (i.e. ‘what a thing is’—
e.g. man, god, as opposed to ‘good’, ‘three cubits high ’—or
a ‘ this’).
18. Other things are said to ‘be’ by virtue of being quantities, &c.,
of this.
20. Hence one might doubt whether ‘ walking’ and the like are
existent; no such thing can exist apart from substance.
24. ‘That which walks’ more truly is, because it has an individual
substance as substratum.
18. Other things are said to ‘be’ by virtue of being quantities, &c.,
of this.
20. Hence one might doubt whether ‘ walking’ and the like are
existent; no such thing can exist apart from substance.
24. ‘That which walks’ more truly is, because it has an individual
substance as substratum.
go. Substance is primary in definition, in knowledge, and in time;
in time because it alone among the categories can exist apart; in
definition because the definition of a substance is involved in the
definition of anything else; in knowledge because we know a thing
better when we know ‘what it is’ than when we know its quality,
&c.; we know even a quantity or a quality only when we know what
it is.
be. The eternal question ‘what is being’ really means ‘ what is
substance’ (it is substance that was said by various thinkers to be one
or many, and if many, finite or infinite in number), and so this is our
chief and first and practically our only subject.
1028* 10. Kadarep Srethope0a, mpdtepov, A. 7.
II. ti éort kal ré8e tr, The two phrases indicate the two sides
there are to Aristotle’s doctrine of substance. A ri éore is the ri éore
of something, the answer to the question ‘ what is it?’; and whether
this something be an individual or a universal, its essence can only be
stated as a universal or a combination of universals. ré éore in fact
points to the distinction between essential and accidental predication.
A 708e 7. on the other hand is not the 7éde 7 of anything ; it is simply
an individual; the term rode re points not to the distinction of essential
from acccidental but to that of substance from attribute. The fact is
that ovoia means initially for Aristotle nothing more definite than ‘ that
which most truly or fully is’, He sometimes thinks of it as that
160 COMMENTARY
in things which most truly, is—ri éor. or essence; and sometimes
as that which most truly is because it is not in anything but exists by
itself—7d8e 7 or the individual. ‘The same ambiguity occurs in the
Categories, where mpatyn ovcia answers to Tdde Tu and devrépa ovcta to
ti €oTL.
16. Aristotle’s object being to distinguish quality from substance,
not from the other categories, tpiyxv 7 is irrelevant, and was suspected
by Bz. It was, however, read by Alexander, and apparently by
Asclepius, and Aristotle is not incapable of such irrelevancies, especially
in a clause which like the pév clause here is unemphasized. Cf. @.
1047710 n.
1g. I have restored from A? Al. the grammatically correct roodryres,
wotoTnres, instead of the accusatives.
21, Ab’s reading onpatver seems to be required, instead of 7% py ov,
to explain the grammar of éxacrov airév. ‘ Whether the words “to
walk”, &c., imply that each of these things is existent’. Cf. L. and
S. onpaive III. 1.
the grammatically correct roodryres,
wotoTnres, instead of the accusatives.
21, Ab’s reading onpatver seems to be required, instead of 7% py ov,
to explain the grammar of éxacrov airév. ‘ Whether the words “to
walk”, &c., imply that each of these things is existent’. Cf. L. and
S. onpaive III. 1.
24. Aristotle does not mean that 75 BadiGov unlike 7d BadiZew can
exist apart from substance, but that 7d BadiZov, since it is a sub-
stance (though referred to only as the possessor of an activity),
can exist apart, while 75 BadéZew, since it is only an activity (though
it implies a substance as the possessor of the activity), cannot exist
apart.
26-27. Sid. . . . dpropevov. .e., when we say 7rd BadiZov, we
think of some definite man or animal that is walking ; when we say 70
BadiZeww we imply that there is a subject but do not think of any
definite one.
28. éugaiveror. . . tovadty, ‘is plainly implied in the use of such
a designation ’.
30. Td mpdtws dv Kal od Tt dv GAN dv GAs, ‘that which is primarily,
i.e. not in a qualified sense, but without qualification’.
32. Kal Adyw Kat yvdcer kat xpdvw. Alexander takes rév . . povyn
ll. 33, 34 to be explanatory of ypdvw. Substance is prior to the
attributes it successively possesses, as a jar is prior to the wines that
successively fill it. What Aristotle says, however, is ‘for none of the
other categories can exist apart; substance alone can’. Priority in
this sense is elsewhere distinguished from priority in time (Caf. 14°
26-35, Phys. 260% 18) and is described in distinction from it as
priority xara diow Kal oiciay (A. 1018? 14, 1o19* 2). The reading
of the lemma in Asc. (kal dice Kail Adyw Kal xpdvw Kal yvwoe) and
that of Bessarion and the Aldine edition (kai Adyw kat yrooe Kal xpove
kal pvoer) are no doubt corrections designed to meet this difficulty, and
do not mend matters, since they leave ypévw unexplained. Aristotle is
by no means careful to preserve the same appellations for the various
senses of ‘ prior’; thus ‘ prior in dvais’ in Cat. 145, Phys. 261° 14,
265° 22, P. A. 646% 26, A. 989° 16, ‘prior in otata’ in Phys. 260” 19,
261% 19, G. A. 742222, ©, 10508 4, M. 107719, Rhef. 1392% 20 are
used in a different sense from that which they bear in the passages
Z, I. 1028216 — 1028) 5 161
already mentioned, It seems best to suppose with Alexander that the
next words (Il. 33 f.) are meant to explain ypéve. That which can
exist without other things while they cannot exist without it may
naturally be said to exist before other things.
1028216 — 1028) 5 161
already mentioned, It seems best to suppose with Alexander that the
next words (Il. 33 f.) are meant to explain ypéve. That which can
exist without other things while they cannot exist without it may
naturally be said to exist before other things.
Priority Adyw and priority yvdoe are not elsewhere distinguished.
In 1038 27 we have priority Ady, xpove, yevéeoer; in @. 1049) 11
hoyw, ovoia, xpovy ; in Phys. 265% 22 dice, Aoyw, xpovy. In A. 1018)
31 priority xara tov Adyov is one form of priority ry yvooe; in
@. 1049>16f. the two are identified. But here they seem to be
distinguished from each other; as xaé before ypovm means ‘and’, it is
difficult to suppose that cai before yvwéoe means ‘i.e.’ Alexander is
probably right in supposing that ll. 34-36 refer to Adyw and Il. 36-) 2
to yore.
34. Aristotle here says that substance is rpGrov Ady as compared with
the other categories. In M. 1077" 6 he says 76 Aevxoy is prior in Adyos
to 6 AevKds avOpwros (cf. A. 1018 34). The two statements are quite
compatible. ‘White’ is prior to ‘ white man’ because you can define
white without including the definition of white man, and cannot define
white man without including the definition of white. But body is
prior to white because you can define it without including the
definition of white, and cannot define white without including the
definition of surface nor surface without including the definition of
body. All attributes involve in the end substances and cannot
be defined without including their definition. The passages are
to be reconciled, then, not as Bz. seems to hold by interpreting Adyos
differently, but by observing that white man is posterior to white simply
because man is not the substance to which white belongs Zer se,
36-2. Bz. points out that it is not substance as distinct from
attributes, but the essence of a thing as distinct from its other
attributes, that is here shown to be primary in yvéou.s, The fact
is that in the notion of the first category these two notions are some-
what unsatisfactorily blended. This has been already noticed in
l. 11 n., and becomes increasingly apparent throughout the book. In
b 1, 2 Aristotle points out that even things in categories other than
substance have a ri éoru, a quasi-substance, which is to them as the
substance of man is to man. ‘This notion is developed in 10308
17-27,
b4, ot pev év, the schools of Miletus and Elea.
5. ot pev memepacpéva, the Pythagoreans, and Empedocles and his
followers; ot $€ dmevpa, Anaxagoras and the atomists.
Various opinions as to the denotation of substance (ch, 2).
1028» 8, (1) Substance is thought to belong most evidently to
bodies—animals and plants and their parts, the elements and their
2578-2 ; M
162 COMMENTARY
parts and what is composed of them, e, g. the physical universe and
the stars.
Various opinions as to the denotation of substance (ch, 2).
1028» 8, (1) Substance is thought to belong most evidently to
bodies—animals and plants and their parts, the elements and their
2578-2 ; M
162 COMMENTARY
parts and what is composed of them, e, g. the physical universe and
the stars.
16. (2) Some think the limits of body—surface, line, point, and
unit—are more truly substances.
- 1g. (3) Some think there are eternal things more numerous and
more real than the sensibles, e.g. (a) Plato thinks Forms and
mathematical objects are two other kinds of substance.
21. (4) Speusippus thinks there are many kinds of substance, each
with its own first principles—numbers, spatial magnitudes, soul, &c.
24. (c) Some think that Forms and numbers are of the same kind,
but that there are other kinds dependent on this—lines, planes, &c.,
ending with the class of sensibles.
27. These views we must examine, after first outlining the nature of
substance.
1028) 11, Kal tay TovodTwv Exaotoy. For the probable meaning cf.
H. 10428 n.
12-13. 7] poptwy...adrtod. The physical universe (for this sense of
obpavés cf. Bz. Index 541” 56—5 42% 17) is composed of the totality of
natural bodies or elements (De Cae/o 278" 21); its parts are composed
of parts of this totality.
Bz. conjectures rwév or éviwv for poptwy. But this suggestion is not,
as he supposes, supported by Alexander, who evidently read popiwy
462. 6).
14. I have inserted here, from T, % todrwv tes 7 kal aAdaw.
EJ Asc. have 7 rovrwv tives 7) Kal GAdAwv, AP 7} rovTwv Twes Kal GAdwv,
where dAAwv (sc. twés) would be difficult to defend. With % «at dAAau
} TovTwv twes 7% Kat dou 7} TovTwv before them, it is natural that
the writers of the inferior manuscripts should have passed from the
first dAAa to the second, instead of the first, 7 rovrwv. The
possibilities stated by Aristotle are that the complete list of substances
should include—
(1) only those already named,
2) those and others,
4 only some of those already named,
(4) some of those already named and some others (7) kal dau),
(5) only certain others.
16, tot, sc. Pythagoreans. The Platonic view is given as distinct
from this in], 19. The Pythagorean belief that planes, lines, points,
and units are substances contained in bodies is distinguished from the
Platonic view that there are substances apart from bodies. For the
former view cf, B. 1002 4.
18. ot pév, the pre-Socratics, cf. B. 100248.
Ig. of 8... dtSia. | aAefw may mean (1) more numerous than
sensible substances (cf. A. ggo 4) or (2) of more than one kind.
Again we may translate (1) ‘eternal entities more in number and more
$T. ALBERTS COLLEGE LIBRA
Z. 2. 1028” 11-31 163
real’, or (2), with a comma after uaAXoy, ‘ entities more in number and
more truly substances, being eternal’. The first alternative in each
case seems preferable. a@A\ov must not be taken with aida, for
eternality is not a matter of degree. :
ALBERTS COLLEGE LIBRA
Z. 2. 1028” 11-31 163
real’, or (2), with a comma after uaAXoy, ‘ entities more in number and
more truly substances, being eternal’. The first alternative in each
case seems preferable. a@A\ov must not be taken with aida, for
eternality is not a matter of degree. :
21. Speusippus’ doctrine is referred to in M. 1076% 21, 1080? 14,
1085? 31, N. 1091%34. It is this doctrine that makes the nature
of things ‘episodic, like a bad tragedy’ (A. 10761, N, rogo? 19).
The dpyai of numbers were unity and plurality (M. 1085> 5, 1087» 6,
8, 27, 30, N. tog» 31, 109235); the dpxad of magnitudes were the
point and ‘a matter akin to plurality but distinct from it’ (M. 1085? 32).
E. Frank, in Plato u.d. sogenannien Pythagoreer, 245-251, holds that
Speusippus recognized ten stages in the structure of the universe, viz.
(1) absolute unity, (2) absolute plurality, (3) number, (4) spatial mag-
nitudes, (5) perceptible bodies, (6) the soul, (7) reason, (8) desire,
(9) movement, (10) the good. This view is, however, largely con-
jectural.
24. évor S€. This is the school of Xenocrates (so Asc.); for the
evidence of this cf. M. 1076220 n. Other references to the view are
found in A. 1069% 35, M. ro8o0? 22, 28, 108625, N. rogo> 28, 31; it
is in M. 1083 2 called the worst of the Platonic views about numbers.
26-27. péxpt . . . aioOyrd. Theophr. fr. xii. 12 gives Xenocrates
credit for carrying out his explanation of the universe more thoroughly
than Plato and Speusippus ; otros yap dravta rws wepiriGnoe rept Tov
Koopov, Spotws aicGyTa cal voyra Kal paGynmatixad Kat ere di) Ta Geta.
According to Sextus Empiricus (Adv. A/azh. vii. 147) he distinguished
mi aicOyriy otciar (riv évtos otpavot), tiv voyTiy (Tar éxrds otpavod), :
zy atvGerov Kai dogacrijy (riv airod Tod ovpavod).
28-31. The question whether there are any substances rapa tas
aio@yras is distinguished from the question whether there is a ywpior)
oveia wapa Tas aicGyras. ‘The first is the question whether there are
any substances besides sensible substances—e.g. forms of sensible
substances ; the second is the question whether there is any substance
capable of separate exisience besides the sensible substances, i.e. any
pure substantial form.
SUBSTANCE AS SUBSTRATUM (ch. 3).
1028 33. At least four things are said to be substance :
(A) essence,
(B) the universal,
(C) the genus,
(D) the substratum.
36. (D) The substratum is that which is subject of everything else,
never predicate; it is thought to be, most of all things, substance.
M2
164 COMMENTARY
102922. In one sense matter, in another sense form, in another
sense their compound, is said to be the substratum,
5. If form is prior to matter, it is prior to their compound,
7. Our account of substance as that which is always subject is
inadequate ; for it would follow that matter is substance, since it is
what persists when all attributes are taken away,
If form is prior to matter, it is prior to their compound,
7. Our account of substance as that which is always subject is
inadequate ; for it would follow that matter is substance, since it is
what persists when all attributes are taken away,
20. By matter I mean that which in itself is not any particular thing
nor of any quantity nor otherwise determined. The other attributes
are predicated of substance, and substance of matter,
27. But substance must be capable of separate existence and be
a ‘this’, so that form, and the compound of form and matter, are more
truly substance than matter is.
30. The compound we defer, as posterior in nature and familiar;
we will study form, the most difficult of the three. We look for it first
in certain generally recognized sensible substances.
bg. For the order of learning is from the less intelligible by nature
and more intelligible to us to the more intelligible by nature.
1028» 34-36. 16 tI fv etvan is examined in chs. 4—6, 10-12; 76 Kabddou
in chs. 13, 143 76 Groke(yevovy in ch. 3. 16 yévos is nowhere separately
examined in Z. At the beginning of ch. 13 Aristotle says that, as he
has examined the essence and the substratum, it remains to examine the
claim of the universal to be substance. From this it appears that
the genus has dropped out of view. But in fact chs. 13, 14 serve as
an examination of genus as well as of the universal. Every genus is
a universal (though the converse is not true, differentiae and properties
being also included among universals), and if the universal cannot be
substance, genus cannot be co.
1029* 1-28. The two characteristics of substance here signalized
as primary—that of being ultimate subject of predication and that of
having separate individual existence—are the same two that are
mentioned in A. 1017) 23-26.
2. The treatment of 76 izroxe/uevoy as ambiguous, meaning (1) matter
and (2) the concrete unity of matter and form, is natural, and common
enough in Aristotle (matter underlies actuality or form, the concrete
individual underlies its affections or accidents, |. 23, cf. 10385); but
it is surprising to find (3) form put forward as one of its meanings.
The same suggestion, however, occurs in H. 1042228. Aristotle’s
meaning is that the form or essence, instead of the concrete individual,
may be thought to be what underlies properties and accidents ; cf. the
description of the soul as the toxeiuevoy of life, A. 1022832. The
reference to form, then, is not as Bz. suggests a slip due to the
constant association of matter, form, and the unity of the two, in
Aristotle’s thought. Nor is the fact that form is discussed under the
head of ri jv etva, not of troxeiyevov (Bz. 301) a real objection to its
Z. 3. 1028 34 — 1029% 29 163
suggests a slip due to the
constant association of matter, form, and the unity of the two, in
Aristotle’s thought. Nor is the fact that form is discussed under the
head of ri jv etva, not of troxeiyevov (Bz. 301) a real objection to its
Z. 3. 1028 34 — 1029% 29 163
presence here. Substratum and essence present themselves with the
universal and genus as rival candidates for the position of substance.
If essence turns out to be a kind of substratum, the original division
into four turns out to be a cross-division ; but we already know from
the case of 76 xadAov and 76 yévos that that is so. The original four-
fold division is merely a prima _facze one.
8: 1 popdy. popdy is often identified with «fos and ri Av clvas,
but means primarily sensible shape; cf. ro cxjpua THs idéas |. 4, rHV ev
TO aicOytd popdyv 1033" 6.
6. kai tod é& dudotv. The evidence is pretty equally divided
between rod and ro, but the former gives a better sense, If Ais prior
to B it is clear that it is prior to A+B, but it is not soclear that A+B
is prior to B, which is what ro would imply. Further, while it is true
that in 1. 29 Aristotle says the concrete unity is substance more truly
than matter, he says nothing of its logical priority; but in |. 31 he
says that form is prior to the concrete unity ; this again confirms od.
10. adTd... TodTo, i. e. the vague statement (riz elpyra) in |. 8 f.
12-16. Aristotle divides the process of ‘stripping off’ (epraipoupevwr)
into two stages. 7a adAAa, the elements in the nature of a sensible
thing other than length, breadth, and depth (i.e. the secondary
qualities), are mere affections, actions, and powers of bodies. But
secondly, length, breadth, and depth are themselves not substances but
qualities and may be ‘ stripped away’ in thought.
22-23. @ 16 elvat. .. éxdoty. The being of matter is different
from that of any of the categories, because, while matter is not pre-
dicated of anything, substance is predicated of matter and the other
categories are predicated of substance. It is noteworthy that even
in working out the line of thought from which it might be inferred
that matter is substance, Aristotle implies (in airy 8 rs tAns) that
substance is something other than matter, something not entirely
stripped of attributes but including certain attributes.
25. o0d€ 3% at dmoddoets, ‘ nor will the ultimate subject fer se be the
negations of these’,i.e. ov ri, od rocoy, &c. This is difficult; one
would suppose that it was just the essence of matter, as Aristotle
conceives it, to be not ri, not zocov, &c. But he seems here to feel
that to say even this of it is to assign it a character, while its character
is to have no character.
ov ri, od rocoy, &c. This is difficult; one
would suppose that it was just the essence of matter, as Aristotle
conceives it, to be not ri, not zocov, &c. But he seems here to feel
that to say even this of it is to assign it a character, while its character
is to have no character.
27. Aristotle does not criticize the line of thought according to
which matter is substance, precisely in the way which might seem
most natural, by pointing out that the effort to find the truest reality
in that of which attributes are predicated has left us with that of which
nothing can be predicated. He puts the case differently. Matter lacks
two of the characteristic marks of substance. It is not capable of
separate existence, and it is not individual. It fails in both respects,
we may say, because it is characterless.
29. In what sense are separate existence and individuality moré.
characteristic of form than of matter (that they are more characteristic
of the concrete individual than of matter is intelligible enough) ?
166 COMMENTARY
A similar remark about form occurs in A. 1017> 25, and the note on
that passage may be referred to.
BI. borépa, cf. 1. 6 n,
32. SHAn, ‘obvious to sense’.
davepd S€ mws kal 4 Udy, ie. TH dvadoyia avepd, as Alexander
says. Cf. Phys. 191% 4-11 9 0 troxepevyn pvows emiotnT) Kar’
dvadoytay. &s yap mpos avdpidvta xaAkds ... OUTWS atin mpos odeiav
é Ele
i 33-34. Bonitz translates ‘Es wird nun aber allgemein anerkannt,
dass es gewisse Wesenheiten der sinnlichen Dinge giebt’. But it
seems more likely that otcvéy should be understood with ray aicby-
tov, to account for the feminine rwés, and that ova/a: is predicate,
» 3-12, Bz. has pointed out that (1) Il. 1, 2 do not naturally
lead up to Il. 3-12, since the ri jv eivar is far from being yvpimov
nptv, and (2) ll. 3-12 do not naturally lead up to ll. 13 ff., since then
there is nothing in what immediately precedes xat rp@rov xrA, |. 13 for
avrod to referto, It plainly refers to the ri jy etvar, which has not been
mentioned since |]. 2. His suggestion that 3 zpd épyov.. . 12 atrév
should be placed after ® 34 zpérov meets both these difficulties. This
section is meant to justify the treatment of form as it exists in sensible
things (# 34) before passing to pure self-existent form. Jaeger suggests
with much probability (Ar7s4. 205 n.) that the whole section, with the
preceding sentence, was a note added later by Aristotle; the first
sentence of the note was written between the lines of Aristotle’s manu-
script and therefore appears in its proper place, but the remainder of
the note had to be written on a separate sheet and has therefore been
misplaced. Jaeger holds that the section belongs to a later period,
when Aristotle first began to view the discussion of sensible substance
in Z as preliminary to the discussion of insensible substance in A. Cf.
1037% 10-20 n.
Jaeger holds that the section belongs to a later period,
when Aristotle first began to view the discussion of sensible substance
in Z as preliminary to the discussion of insensible substance in A. Cf.
1037% 10-20 n.
5. dowep év tats mpdgeor. The passage is to some extent explained
by £. V. 1129) 5, where we learn that we should choose what is good
for us (i.e. what aids ws towards the good life) and pray that what is
good in itself (i.e. external goods) may be good for us. Here he simply
says ‘make’ instead of ‘pray ’. Originally, owing to some defect in us,
what is good in itself may not be good for us; but we must (starting
by choosing the things that are good for us) transform ourselves till this
is no longer so. So too what is intelligible in itself is originally not
intelligible to us; but we must clarify our minds until it 7s intelligible
to us, by starting with the apprehension of what is already intelligible
to us.
SUBSTANCE AS ESSENCE (chs. 4-6).
What things have essence P (ch. 4).
* 10291. (A) We proceed to study essence,
13. (1) in the abstract. The essence of a thing is what it is said to
be per se (e.g. (a) your essence is not to-be-musical).
Z. 3. 10297 31 — 1029? 5 167
16. But not all of this ; e.g. (4) the essence of surface is not white-
ness ; nor (¢) to be a white surface, for here ‘ surface’ itself is added
improperly in the definition. The account of the essence of a thing is
the account that states its nature but does not use its name.
22. (d) There are compounds of substance and another category ;
is there an account of the essence of each such compound? Have
they an essence?
27. E.g. has ‘white man’ an essence? It might be objected ‘that
‘essence of white man’ is not a thing that exists per se. But a
proposed definition can be ‘not per se’ to its subject only (i) because
of an improper addition (thus whiteness must not be defined by giving
the account of ‘ white man’),
33. or (ii) because the subject has a qualification which is omitted
in the definition (e. g. ‘white man’ must not be defined by giving the
account of whiteness).
1030? 2. But is ‘being a white man’ an essence at all? No, for an
essence is ‘just what something is’, but where one thing is asserted of
another, as in ‘ white man’, this is not ‘just what something is ’, since
it is not a substance. Only those things have an essence whose
account is a definition.
7. It is not a definition if we merely have an account which means the
same as a name (for then all accounts would be definitions, since any
might have a name put to it), but only if it is the account of a primary
real, i.e. of one which does not imply the assertion of something
about something else.
It is not a definition if we merely have an account which means the
same as a name (for then all accounts would be definitions, since any
might have a name put to it), but only if it is the account of a primary
real, i.e. of one which does not imply the assertion of something
about something else.
11. Thus only a species has an essence or definition (for in a species,
and only in a species, one element does not belong to the other
by mere participation or by accident); but there can be an account of
the meaning of azy name (saying that ‘this belongs to that’), or an
accurate account can be given instead of a vague one.
17. Or perhaps definition has more than one sense, just as ‘what
a thing is’ means now substance, now one of the other categories.
‘What a thing is’, like ‘is’ itself, belongs primarily to substance,
secondarily to the others.
23. For we may ask even of a quality what it is; just as not-being
is, in so far ag it is not-being, so quality is in a sense a ‘ what it is’.
27. (2) Since the proper way of using the term essence is now
clear, we may say that in fact essence belongs (a) primarily to
substance, (4) secondarily to the other categories, being in their case
‘the essence of a quality’, &c.
g2. The other categories are said to ‘be’ by an equivocation or
with a qualification ; or rather, they ‘are’ neither in the same sense as
168 COMMENTARY
substance nor in a merely equivocal sense, but just as various things
are ‘medical’ by virtue of relation to a single end.
b 4. Definition and essence, then, are primarily of substance, secondly
of the other categories.
7. But there is definition only if there isaname meaning the same
as an account which is one in one of the senses of ‘one’ answering to
the senses of ‘being ’, viz. to the categories.
12. Hence (c) there is a definition of ‘ white man’, but in a different
sense of definition from that in which there is one of ‘white’ or of
a substance.
1O2gP1. év dpyy, 1028» 33.
13. Aoyukds suggests plausibility rather than truth (Zop. 162» 27),
dialectic or sophistic as opposed to science (Az. Post. 93% 15, and
cf. I, 1005 22, N. 1087) 20 with De Jnt. 17% 36), a reference to
abstract considerations (Adyor) rather than to the precise nature of the
facts in question [ )(dvotxds, dvadutixds, éx Td oikeiwy apxdv, Phys.
2044, 10, De Gen. e¢ Corr. 316*11, G.A. 747 28, 74828, and
cf, A. 10692 28 with éy tots Adyous A. 987> 31, ©. 1050 35]. Usually
its sense is depreciatory, but where abstract arguments are those that
are required AoyiKds may = dxpiBys, M. 1o80%10, It probably
always refers to linguistic inquiries or considerations, cf. AoyiKds here
and in 1030 25 with 10308 27-28 n. It is in 1030% 28 that the real
as opposed to the verbal inquiry begins.
1o80%10, It probably
always refers to linguistic inquiries or considerations, cf. AoyiKds here
and in 1030 25 with 10308 27-28 n. It is in 1030% 28 that the real
as opposed to the verbal inquiry begins.
14. There is no other case in Aristotle of the accusative with ri jv
eivar (in A. 1016* 34 ri Hv etvas is probably a gloss, cf. n. ad loc.),
so that the manuscript reading éxacrov 0 Aeyerau will not stand (unless,
which is unlikely, the meaning is ‘the ri jy evar is each thing, viz. what
it is said per se to be’, or ‘the ri jv ecivac is what each thing is
said per se to be’). éxaorov 6 A€yerau is palaeographically better than
Bz.’s éxdoTw 0 déyerar. For the genitive cf. 10324 3, > 2.
16. o08¢€ 8% tTodto way. Aristotle rules out, as not the ri éorm
of A, a term B which is xa atré to A in the second sense recognized
in An. Post. (73 37), viz. that (1) it evyrdpye in A, is an attribute of
A, and (2) A évumdpyxe in the definition of it. For this sense and the
instance cf, A. 1022%30. He thus in effect implies that the r/
nv etvat Of A is that which is xa6’ adré to it in the firs? sense (73 34),
viz. that it is present in the ri éove and definition of A.
Ig. St. mpdceoti adrd, i.e. such a statement of the essence of
surface as ‘to be a white surface’ is wrong because it is tauto-
logous.
21-22. dot ei... ev, ‘so that if to be a white surface is to be a
smooth surface, then, though we are not told the essence of surface,
it is implied that “to be white” and ‘to be smooth” are identical’.
Aristotle is thinking of Democritus, who identified them (De Sensu
442? 11, Theophr. De Sensu 13, cf. De Gen. et Corr. 316* 1).
Z. 4. 1029 1— 1030 2 169
22-23. éwet 8 ott... ouvOera. There are oivGera or civoda, not
only within the category of substance (@5, A. 102331) but also
corresponding to the other categories, i.e. not only combinations of
matter and form but also (more complicated) combinations of
substance and accidental attribute. In fact every term in any
category other than substance presupposes an underlying substance in
which it inheres.
25. 1 kwyoe. The mention of this among the categories is
unusual, but cf. “£. £. 1217629, where xuwetoOo, kwely occur as
categories. xivyows is a synonym for zovety and racyew (cf. Top. 120
26); it occurs in less formal lists of categories in I. 1054%6, A. 10718
2. More strictly, xivnows is said to occur in the categories of
substance, quality, quantity, place (PAys. 261% 27-36, De Gen. ef Corr.
315° 28 sqq.).
27. The omission of efyac with tt qv is unparalleled in Aristotle, and
it is probable that the bracketed words are a gloss.
1054%6, A. 10718
2. More strictly, xivnows is said to occur in the categories of
substance, quality, quantity, place (PAys. 261% 27-36, De Gen. ef Corr.
315° 28 sqq.).
27. The omission of efyac with tt qv is unparalleled in Aristotle, and
it is probable that the bracketed words are a gloss.
28. For a similar use of tpdétoy cf. H. 1045% 26, De Jnt. 184 19.
GANG phy ob8e Tov Kal’ aitd Neyoudvwy obS€ todro, Aristotle here
anticipates an objection. Some one may say ‘it is no use asking what
70 ivariw etvaris. The thing denoted is not ka? atrd Xeydpevov—white
is not xa aérd to. man—and therefore cannot be the essence of
‘white man’. The objection assumes, arbitrarily enough, that only
what is internally xa@’ aird can be a xa aito predicate to something
else. But Aristotle takes it seriously and shows that ‘white man’
may have something said of it which is not od xa atro in either
of the senses in which a definition should not be od xa@ aire to its
subject.
go. 7 8 ov. ‘ The other errs not by addition’, which is idiomati-
cally equivalent to saying that it errs by omission; cf. Bz. /ndex 539%
14-47.
31-33. TO atts GANw TpocketcOat . . . TO GAO adt@, The anti-
thesis is misleadingly stated. Really the error arises in one case
because in the definition the definiendum is added to something else ;
in the other because in the definiendum something else is conjoined with
what is stated in the definition. apooxetofa: in 1], 31 refers, as
mpoobécews does in |. 30, to the addition in ¢hought of a qualification ;
the apooxetcOar which has to be understood in 1. 33 refers to the
conjunction of a qualification in fact. Alexander’s understanding of
detv mpookeicOa: in this line, which would remove the ambiguity, is
indefensible.
34. Todefine is not dpiZew but dpiLerOar (Bz. Index 524? 8). JA?’s
reading épiforto ipdriov must therefore be right. Alexander (470. 18)
read either this or 6piZouro 76 iudrcov (so E?).
10302 1-2. It seems necessary to insert 76 before tt Hv etvar. ‘ But
its essence is not to be white’. For the omission of 76 before Aevkd
ewou cf. A, 101456 n., An. Pr. 67412, 13, Pl. Crat. 385 B2, 10,
408 A 5, Theaet. 176 B 3.
2. In pointing out the relevant senses of od xa airo Aristotle has
170 COMMENTARY
shown that the essence of ‘ white man’ is not ‘to be white’, But is
being white man an essence at all, he now asks, and answers that it is
not, though for a different reason from that suggested in 1029» 28 and
subsequently set aside. An essence is dzep 71, ‘just what a particular
thing is’, and a term like ‘white man’, in which an attribute is
assigned to a subject distinct from itself (6rav dAdo kar’ dAAov déyytat),
is not d7ep 10d¢ Tt (= dzep-tt), Since thisness belongs only to substance
and ‘white man’ is not a substance but a substance + an accidental
attribute.
The editions before Bz. place the full stop after the second
instead of the first efvac in this line; the sense makes the change quite
necessary.
The editions before Bz. place the full stop after the second
instead of the first efvac in this line; the sense makes the change quite
necessary.
3. Sep ydp ti, the reading of Ab yp. E, gives a good sense, and it
is not necessary to read with Bz. drep yap (rdde) 7. For tu = 100e te
cf. 10292 20, 24.
Otay 8 GAO kat GAou Adyntat. It might be said that a term like
‘man’, of which Aristotle thinks there is an essence, implies the
predication of one term of another (‘rational’ of ‘animal’). Aristotle
would reply that these are not dAda to one another since ‘rational’
exists only as-an attribute of ‘animal’ and has no separate existence.
Cf. Z. 12, H. 6. On the other hand a man need not be white, nor
a white thing a man.
6. dow 6 Aéeyos eottv dptopds. Any dvopa (like iparcov) can have
a Néyos or combination of words, and any Adyos (like ‘white man’)
can have a Adyos axpyBéorepos, which means the same as it; but that
Adyos is not a definition, unless that which is thus explained is
a mpOrov, a primary or simple real which is not the union of a subject
with an irrelevant attribute.
g. A» and apparently Alexander (471. 28, 29) have Aéyo where our
other authorities have A¢yw tai7év. The shorter reading is supported
by An. Post. 92> 31 in yap dy dvopa O€cbar drowody Adyw.
date kat W IAuds dptopes eorat, i.e. the poem, being a combination
of words, would be a definition of the word ‘Iliad’. The Iliad
is a typical instance of the things that are only cwdécpue ev, Z. 1030?
9, H. 10452 13, An. Post. 93> 36, Poet. 14574 29.
11-14. Only yévous «dn have an essence, i.e. genuine species as
opposed both to Platonic ei8y (cf. A. 9914 31 n.) and to collocations of
substance + accident like ‘white man’. Platonic Forms xara petoynv
Aéyerar—‘ participation ’” is one of Plato’s favourite ways of expressing
the relation of particulars to the Form. Again, the Platonic Form
need not express the innermost nature of its particulars, but is any
universal under which they happen to fall, and may be a mere zaos
or ovpBeBykds of them. In ‘white man’ the relation between the two
elements is of the same external and accidental character. On the
other hand, the genus which is implied in the name of a species does
not ‘share’ in the differentia ; the differentia is not a mere ‘affection’
or ‘concomitant’ of it, but is its proper differentia. That xara peroyny
is to be interpreted as above seems to be shown by 1037) 18, where
La he TO30™ 2=35 17t
also Aristotle is speaking of the unity of a species as opposed to
a term like ‘ white man’, and says évradda 8’ (in the species) od peréxet
Oarépov Odrepov' 7d yap yevos ob SoKet peréxew Tov Suahopdv. No im-
portant distinction seems to be intended here between xara petoxyv,
kara. rdos, and ds cvpB_eBnkds.
22. 7TH pév, to substance.
No im-
portant distinction seems to be intended here between xara petoxyv,
kara. rdos, and ds cvpB_eBnkds.
22. 7TH pév, to substance.
25. oytkds, i.e. that which is not cannot be said to ‘be’ in the plain
sense of that word, but speaking Aoyixés, with reference to linguistic
usage (oi Adyor—cf. ras de? A€yew, 1. 27), we may say that it is, since
we can say it zs non-existent. Cf. A. 1069%21. For Aoyuds cf.
1029) 13.n. So too a qualitative term is never the answer to the
question ré éory in its primary sense, i.e. what is such and such
a thing, but is an answer to the question what is such and such
a quality. ‘A colour’ is the answer to the question ‘ what is white?’.
Cf. 1028b 1, B. 996% 18-22, Zop. 103” 27 ff.
26. tues is perhaps a reference to Plato ; cf. Soph. 237, 256 ff.
27-28, Sel pev.. . exer, ie. such linguistic inquiries as Aristotle
has been conducting since 1029) 13 (Aoyixds) and has referred to in
], 25 are important enough, but it is still more important to study the
facts themselves. The mode of using the term ri jv eva, being now
plain, Aristotle proceeds to draw the conclusion about the facts with
regard to the ri jv etvas, viz. that non-substances have in a qualified
sense a ri Hv etvat, Not an essence simply, but ‘the essence of a quality ’,
&c. (I. 31).
29. dpotws is explained by domep Kal ro ti €or, 1. 30. The
distinction between 7é éor: and ri Hv etvau is that while the former may
stand for either a partial or a complete answer to the question ‘ what
isso and ¢o?’, i.e, either for the genus or for the genus + the differentia,
the latter always means the complete answer. Thus, while every ti jv
evar iS a ri éott, the converse is not true. 7é ésru is sometimes
distinguished from ré jv eivas (An. Post. 82» 31, 92% 7, De An. 430° 28),
sometimes used in the same sense (Aw. Post, g1* 1, 93%29, A. 987%
20, 988b 29). Cf. Bz. Lndex 763° 47—764* 16.
32-34. Set yap... émorntdv. We must say that substance and
non-substance ‘are’ in different senses of that term, or we must add
a qualification in the latter case, saying that non-substance ‘is’ in a
qualified sense (as we say the unknowable can be known—to be un-
knowable, cf. “het. 1402°6), and remove the qualification in the
former, saying that substance ‘is’ simply. So Alexander. But it is
equally likely that zpooriévras and ddaipotvras both refer to the
things which are not dvra in the full sense. If we say that they are
évra we add a qualification to, and deduct from the full meaning
of, dv.
35. doattws = cvvwvipus, ‘in the same sense’.
mpos TO adTd .. . kat éy, i.e. to the surgical art (mpds tarpuxyy,
T. 1003) 1),
Terms which are neither épevvpa nor cvvdvupa are, as here, said to
be zpos & in T. 1003* 33, K. 10618 11. In £. NV. 1096 27 Aristotle
172 COMMENTARY
offers ad’ évds and xa7’ dévadoyiav as alternatives to mpds ev, and Seems
to prefer, at least in the case of the various goods, kar dvadoyiav.
1003* 33, K. 10618 11. In £. NV. 1096 27 Aristotle
172 COMMENTARY
offers ad’ évds and xa7’ dévadoyiav as alternatives to mpds ev, and Seems
to prefer, at least in the case of the various goods, kar dvadoyiav.
b 4. émorépws, i.e. whether we say that various categories ‘are’ in
the same sense but with qualifications or deductions (@ 33) or that they
‘are ’,not in the same sense (xa év) but mpés & (*® 35-3). drrorépws
can hardly refer to the alternatives stated in~* 32, 33, for Aristotle
would not regard it as immaterial whether dv is a mere épdvupor,
applied to the various ‘ beings’ by a mere play upon words.
8-10. toito 8. . . év, ‘i.e. with a Adyos which is the Adyos of some-
thing that is one, not by continuity .. ., but in one of the senses
of “one” which answer to the essential senses of “being” ’. écax@s
héyerau 74 év is to be interpreted in the light of ll. ro-12. For the
correspondence of the senses of ‘one’ to the categories cf. T. 1003
33, A. 1018 35, I. 1053 25, De An. 412» 8.
12. Since unity in some sense can be found in any of the categories,
‘white man’ (which is a union of terms from two categories) has
a certain unity and can have a definition, though not in the same
sense in which ‘white’ has one, while this again has a definition
in a different sense from that in which a substance has one.
It is clear that the chapter does not do what it set out to do, viz. to
discover whether essence is substance. It only tells us that it is
substances alone that in the primary sense Aave essence, But this may
be found to be a step towards the answering of the original question.
Flave coupled terms an essence or definition ? (ch. 5).
10g0> 14. With regard to (d) a coupled term like ‘ snubness ’, which
per se belongs to the nose, not as ‘white’ belongs to Callias or to
man but as ‘male’ belongs to animal, (i) how can such a term be
defined, if definition must not involve an improper addition ?
23. Per se attributes are those in whose definition the account or
the name of the subject must be present. If they have an essence, it
must be in a sense different from the strict sense.
28. (ii) There is another difficulty about these. If snub nose =
hollow nose, snub = hollow; but if this cannot be so because we
cannot say ‘snub’ without implying the nose, ‘snub nose’ is tauto-
logical, being = ‘hollow nose nose’. Thus, if such terms had an
essence, an infinite regress would be involved.
10gI*z. Only substance, then, is definable, for definition of any-
thing else would involve an improper addition; ‘odd’ cannot be
defined apart from number.
5. Therefore (¢) if the terms are coupled, as in ‘odd number’,
Z. 4. 1030) 4-12 173
such combinations cannot be defined, any more than terms like ‘odd’,
or can be defined only in another sense of ‘ definition ’,
11, Substance, then, is the only or the primary subject of definition,
5. Therefore (¢) if the terms are coupled, as in ‘odd number’,
Z. 4. 1030) 4-12 173
such combinations cannot be defined, any more than terms like ‘odd’,
or can be defined only in another sense of ‘ definition ’,
11, Substance, then, is the only or the primary subject of definition,
In this chapter Aristotle raises two problems about ra ody dr\G
GAA ovvdedvacpéva, terms which stand for an attribute which is
coupled with a subject (réde év rGde J. 18) not accidentally but in
virtue of the very nature of the attribute; the attribute being xa6’
avro to the subject in the sense that it cannot be defined without
either naming or defining the subject (I. 23), i.e. in the second of the
senses recognized in the Postertor Analytics (73° 37-> 3). Ta cvvde-
dvacpeva are in fact propria (e.g. snub) or unions of subject and
proprium (e.g. snub nose), which are initially distinguished from
(a) substances, (4) terms in other categories, and (c) combinations of
substance and accident (e.g. white man), all of which have been
shown in ch. 4 to be definable, though (a) are definable in
a more proper sense than (4), and (6) than (c). But ultimately all
terms in categories other than substance are shown to be in principle
of the same type as ‘snub’, in that the ‘definition’ of them must be
€x mpoobécews, must involve a reference to the substance to which they
belong (10314 2-5). The question whether ‘ the snub’ has a definition
is significant for Aristotle because mévra ra gvoixd duoiws TO oid
déyovrar (E. 102534). But there is an important difference between
70 oipov and natural substances; cf.n.ad loc. The conclusion drawn
from the first problem (1030 14-28) is that such terms cannot be
defined, or can be defined only in a secondary sense, kadaep eipjxapev.
The reference here is to # 17— 13, but Aristotle does not mean that he
has already mentioned this particular sense (for the cvvdedvacpéva are
a different class of terms—cf. > 20—from terms like ‘white man’,
which he was there referring to), but that he has said there are secondary
kinds of definition.
There cannot be a proper definition of 7a cvvdedvacpéva because the
account of them must be é« mpoo@écews, and this prevents it from
being a proper . definition (1029> 30). The ovrdcdvacpévov is
a quality ; yet you cannot give an account of it without mentioning its
subject as well as it. ‘The equal’ is ‘a quantity which is equal’;
‘the male’ is ‘an animal which is male’, Thus you define X as XY
and break the rule against zpdceors.
The second problem of the chapter is stated in 1030> 28—
TOSIA I:
If ‘snub nose’ = ‘hollow nose’, ‘snub’ = ‘ hollow’.
But ‘snub’ is not = ‘hollow’, since ‘snub’ implies a reference to
the nose while ‘ hollow’ does not.
.*. ‘Snub nose’ is not = ‘hollow nose’,
,*. If we say ‘snub nose’ at all, we are saying what is = not to
‘hollow nose’ but rather to ‘ nose which is a nose-which-is-hollow’.
Such terms cannot have an essence, since this would involve an in-
174 COMMENTARY
.*. ‘Snub nose’ is not = ‘hollow nose’,
,*. If we say ‘snub nose’ at all, we are saying what is = not to
‘hollow nose’ but rather to ‘ nose which is a nose-which-is-hollow’.
Such terms cannot have an essence, since this would involve an in-
174 COMMENTARY
finite regress; ‘ nose which is a nose-which-is-snub ’ will involve ‘ nose’
once more.
By ‘such terms’ (1030) 34) Aristotle seems to mean such terms as
“snub’, since this is the class of terms which he is throughout the
earlier part of the chapter trying to prove_indefinable (he advances
to ‘snub nose’ only in 10315), But he is evidently assuming
that ‘snub’ is equivalent to ‘snub nose’ (which is what is implied in
saying that the account of it must be ék zpocOécews) ; for it is only
by applying this equation that he reaches the term ‘ snub nose nose’ in
1. 35. He had previously (I. 33) reduced ‘snub nose’ to ‘hollow
nose nose’, which leads to no infinite regress, but now, substituting
for ‘snub ’ its equivalent ‘snub nose’, he gets the form ‘ sud nose nose’,
and has no difficulty in showing that if the same substitution be re-
peated we are landed in an infinite regress.
I take ci 8@ py l. 35 as = ef d€ Tis Adyer Oru ora Kal ev TovTOLS TO TL
hv evar kat opicpos (Al. 478.15). Alternatively, we might treat dud...
eivat ll. 34, 35 as parenthetical, and interpret ‘ otherwise—i.e. if it be
denied that the snub-nose is a hollow-nose-nose—we shall be com-
mitted to a process ad ¢nfinitum. For (since the saud is the nose that
zs snub,the snub nose will be the snub-nose nose: and) the snub-nose
nose will contain yet another zose (and so on ad zfinitum)’. ‘This
may well be right. In any case Bz. is wrong in supposing that the
introduction of fils pis oxy in 1. 35 is a mere slip.
To this ‘infinite regress’ argument for the indefinability of ‘snub’
Aristotle himself in effect supplies the answer in Soph. 7. 182° 4.
‘The snub’ = ‘a snub nose’, but it does not follow that- in ‘snub
nose’ we can substitute ‘snub nose’ for ‘snub’, and so ad infinitum.
For in ‘snub nose’ ‘snub’ does not mean ‘the snub’, i.e. ‘that
which is snub’, but a quality of the nose (puds rodi, otov wafos), so
that ‘snub nose’ is analysed not into ‘snub nose nose’ but into ‘ nose
having the kind of hollowness proper to a nose ’, in which no infinite
regress is involved (jor otdev drorov, 29, Rhee.
1356% 10, 14059. Cf. also. B. 100081 n.
KaQdtep éXéx0n, 1030% 17—) 13,
Ts a thing the same as tts essence ? (ch. 6).
1031*15. Is a thing the same as its essence? This bears on the
study of substance, for a thing seems to be = its substance, and its
substance to be = its essence.
1g. (1) An accidental unity like ‘white man’ would seem not to
be = its own essence. For else essence of man = essence of white
man, since man = white man.
This bears on the
study of substance, for a thing seems to be = its substance, and its
substance to be = its essence.
1g. (1) An accidental unity like ‘white man’ would seem not to
be = its own essence. For else essence of man = essence of white
man, since man = white man.
24. But perhaps it does not follow from white man being = essence
of white man that the essence of accidental unities is the same as that
of the simple terms (essence of white man = essence of man); for the
extreme terms of the syllogism are not identical in the same way with
the middle term. _ It might, however, seem at least to follow that the
accidental extremes (e.g. essence of white and essence of musical) are
the same ; but they are not.
28. (2) Is a per se term necessarily the same as its essence? Take
(a) primary terms like the Ideas? If the Good Itself is to be different
from the essence of good, (i) there will be substances prior to the Ideas,
if essence is substance.
bg, (ii) If the Ideas are separated from their essences, (a) they will
not be known, and (@) the essences will not be existent. For (a) we
know a thing only when we know its essence, and
7. (f) if the essence of good is not good, the essence of being will
not be, arid since all essences are on the same footing, no essence
will be.
176 COMMENTARY
11, (iii) That to which ‘being good’ will not attach (sc, the Good
Itself) will not be good.
Therefore all terms (whether Ideas or not) which are self-subsistent
must be the same as their essences,
(15. If the Ideas are such as the Platonists suppose, it will not be
substratum that is substance, since they are substances which do not
imply a substratum.)
18. (2) That a thing is the same as its essence is also clear from
this, that to know a thing is to know its essence.
(22. If we consider an accidental term like ‘ the white’, the essence
of white will not be the same as that which is white (the white man),
but it will be the same as the quality white.)
28. (c) The absurdity of separating a thing and its essence is further
seen if we put a name to each essence, for then it will have another
essence of its own; it is better to recognize at once that some things
= their essences.
32. The definition of a thing, also, = the definition of its essence ;
for it is not per accidens that e.g. unity and its essence are one. To
separate them would produce an infinite regress,
b 4. Each simple fer se term, then, is the same as its essence.
6. The sophistical objections are to be met in the same way as the
question whether Socrates = being Socrates.
unity and its essence are one. To
separate them would produce an infinite regress,
b 4. Each simple fer se term, then, is the same as its essence.
6. The sophistical objections are to be met in the same way as the
question whether Socrates = being Socrates.
Aristotle’s doctrine in this chapter is that ra Aeydueva Kata ocvpPe-
Byxés (i.e. terms denoting a union of a subject with an accident)
are not, and ra xa attra Aeydueva (terms denoting a self-subsistent
unity, i.e. either a summum genus or a species, either in the category
of substance or in some other, 1031) 27, 28) are, identical with their
essence. E,g. ‘to be a man’ sums up the whole substantial, per-
manent nature of each individual man and is identical with each and
every man; ‘to be a sitting man’ does not express the permanent
nature of any man, and ‘ to be a white man’ expresses the permanent
nature of some men but not of others.
Aristotle first discusses accidental terms (1031 19-28) and puts for-
ward a proof of their non-identity with their essences, If
(x) a white man = the essence of white man,
then, since (2) a man = a white man,
.*. a man = the essence of white man.
Now, if (1) is true, similarly (3) the essence of man = a man,
.*. the essence of man = the essence of white man.
But this is evidently not true. Therefore a white man is not = the
essence of white man.
This reductto ad absurdum, however, Aristotle points out in 1, 24,
fails. It does not follow that the essence of accidental combinations.
~
Z. 6. 1031% 29 — 1031” 10 177
is identical, sc. with that of the corresponding simple terms. For the
extremes are not identical in the same way, sc. with the middle term.
In the first syllogism the major term is absolutely identified with the
middle, while the minor is identical with the middle only per accidens ;
in the second syllogism the converse is true.
Aristotle next puts forward (I. 25 éAX’ tcws xrd.) an alternative
reductio ad absurdum. If the fallacy of the above reductio be detected,
it might at any rate seem to follow from the identification of an acci-
dental term with its essence that the accidental extremes, essence of
white and essence of musical, are identical. But evidently they are not.
Therefore accidental terms are not identical with their essences. The
argument here implied is:
The musical man = the essence of musical man.
The man = the musical man.
’ The white man = the man.
The essence of white man = the white man.
.*. The essence of white man = the essence of musical man.
.*. The essence of white = the essence of musical.
This conclusion might seem to follow, because here musical man
and white man are both identical with the middle term man in the
same way, i.e. per accidens. The argument is, of course, unsound ;
but Aristotle does not commit himself to its accuracy—he merely says
ddéevev dv cvpBaivew.
This conclusion might seem to follow, because here musical man
and white man are both identical with the middle term man in the
same way, i.e. per accidens. The argument is, of course, unsound ;
but Aristotle does not commit himself to its accuracy—he merely says
ddéevev dv cvpBaivew.
I0gI* 29. It is not obvious why Aristotle should have chosen as his
illustration of the identity of a xa airo term with its essence a class of
ka’ otro terms which he does not believe in, the Ideas. The reason
doubtless is that the argument in ® 29-> rr conveys a covert criticism
of the ideal theory. Plato,*so Aristotle thinks, believes in a separate
good which is neither a particular good thing nor ‘being good’ (or
the essence of good). But the separation of the good itself from the
essence of good leads to insuperable difficulties and is therefore con-
demned. Instead of Ideas we should believe simply in essences or
universals.
82. Laov, sc. aird 70 GGov. 716 Ov, sc. aitd 70 Ov.
bg-3r. These arguments only show that the Idea and the essence
must not be thought of as existing independently of one another
(dro\eupévan, 1. 3). But Aristotle uses them to show that Idea and
essence are identical and cannot even be logically distinguished. One
might hold that they are distinguishable but not independent, as is the
case with any pair of correlatives. pév in ei pév (1. 3) looks as if
Aristotle had noticed this point and meant to add another argument
to show that if they are thus distinguished, but not treated as dzroXe-
Avpévat, Other difficulties follow. But if this was his intention, he has
not carried it out.
3. Tov pév, the Ideas. That they will not be knowable is proved in
Nei6; "7.
4. es %, the essences. That they will not exist is proved in ll. 7-10.
10. Bz. objects that Aristotle has no right to say that if the essence
2678-2 N
178 COMMENTARY
of being is not, no other essence will be. The corresponding result
for the other essences would be that the essence of good is not good,
and soon. But the argument 'seems sound enough. ‘The reason for
believing in essences holds of all terms alike. If the essence of being
does not exist, there is no reason for supposing that any other essence
exists.
But the argument 'seems sound enough. ‘The reason for
believing in essences holds of all terms alike. If the essence of being
does not exist, there is no reason for supposing that any other essence
exists.
-11. To his two main arguments against the separation of the Ideas
from their essences (ll. 1-10) Aristotle now adds a third, that if the
essence does not belong to the Idea or thing-itself, the ‘ good-itself’
will not be good, which is absurd. Alexander takes this sentence as
proving that the essence of good is not good. But this has already been
stated in ll. 6, 8, so that érx would be unexplained. Besides, it would
be tautologous to say ‘ that to which being good does not belong is not
good’. There is more point in saying ‘that to which being-good (the
essence of good) does not belong is not good’. Aristotle has already
said (1. 5) that being-good will not belong to the Good-itself’ ; he now
draws the inference that the Good-itself will not be good. dya66 14, 225226, 32, 4,
226% 24, 243% 6, 260% 26, De Caelo 310% 23, K. 1067» 31, 36, 1068% 9,
b 16). All are included under peraPory (A. 1069” 9, H. 10424 32, De
Gen. et Corr. 319 31); or else all except yéveows (Meteor. 465» 30).
16. at pev is resumed by ovrw pév ovy in |. 25, and the antithesis to
it comes in ]. 26.
20. The éé ot of natural generation having been said in 1. 17 to be
matter, Aristotle here breaks off to say that the éé ot of a// generation
is matter. In ]. 22 he returns to his main point, andsums up what he
has said in lJ. 17-19 by saying that in natural generation é€ ot, xa@’ 6,
and i¢’ of are alike nature.
22. For the description of the é€ od or matter as duous cf. A. 1014
b 26-35, Bz. Index 839% 1-12.
kal ka’ 6 puois. xal’ 6 corresponds to ri in Il. 14, 18, i.e. that
which a thing becomes is identified with the form which it acquires
and im virtue of which it is what it is after the change. For this sense
of ka’ 6 cf. A. 10227 14,
23. 7d y%... dvow, ‘for that which comes to be has a nature’,
se. in virtue of which it is what it is.
24. The id’ ot of change is strictly not the parent considered as
a unity of form and matter, but its nature in the sense of its form,
which is the same in species with the form acquired by the offspring,
for it is only a man that can beget a man. Aristotle holds that the
form comes from the father, the matter from the mother, G. A. 730? 1, 10.
27-28. 4 amd téxvns . . . Siavotas, cf. E. 1025» 22 n.
Aristotle holds that the
form comes from the father, the matter from the mother, G. A. 730? 1, 10.
27-28. 4 amd téxvns . . . Siavotas, cf. E. 1025» 22 n.
29. kal Go tadtopdrou Kat dd téxns. The first xa’ means ‘also’,
so that the distinction between 76 atréuarov and trix is not stressed.
The former includes the latter (Piys. 197% 36). Only those beings
can act dro TOXINS which can act deliberately (i. e. adult human beings,
197> 7); tix is airia Kara ovpBeBnKos év Tos KaTd mpoutpeow Tov
évexd. Tou (197% 5). I. e. chance is found when an action incidentally
and exceptionally produces a result which might naturally have been
the object of deliberate action. Since one such result may be produced
incidentally by a variety of actions, chance is of the nature of the
indefinite (197% 9), and since the result could not have been foreseen,
chance is ‘a cause obscure to human thought’ (196> 6). 76 airdpa-
rov, on the other hand, occurs ‘in events that normally happen for an
end, whenever something whose cause is ex/ernal happens not for the
sake of the result which actually follows’ (197 18), e. g. when a horse
%
Z. 7. 1032%12— 1032 15 183
(sc. being pursued by thieves) is saved by going to a certain place, but
did not go in order to be saved (19715), or when a stone (sc, being
pushed) falls and hits some one without having been meant to do so
(197> 30). But besides the cases in which something moved by an
external force achieves an unintended result, 76 airéuarov also occurs
when an zfernal cause, i.e. nature, produces an exceptional result
(197 33), e.g. when an illness cures itself (77. A. 604> 9). Aspecially
important instance of the latter kind of spontaneity is ‘ spontaneous
generation’ of plants or animals from rotting earth, dew, mud, excre-
ments, wood, &c., for which cf. Bz. /ndex 124% 3-30. In general,
then, chance simulates the action of art or, more generally, of thought,
while in spontaneity (the more general term) (1) the action of thought
is simulated, or (2) the normal action of nature is simulated by nature
producing in an exceptional way (e.g. dvev orépparos, 1032 31) what
it normally produces otherwise (e.g. ék owépyaros), Thus chance is
more appropriate to rovrwy tues, ‘makings ’, and spontaneity to r& dad
picews yuyvoueva.
30-81. evo yap... dveu omépparos, e. g. eels (7. A. 5.7047), fishes
(569% 11), testaceans (547518, G. A. 761” 23), insects (5392 24, G. A.
732" 12). :
32. ToUTwy, i. e. TOY dd Tabroudrou Kal ard TUyNS.
dotepov émuoxentéoy, cf, b 23-30, 1034*% 9-21, » 4-7.
ba, rhv pdtv ovatay, i.e. the ovata avev vAns (I. 14), matter being
only in a secondary way part of the substance of the concrete product.
A. 761” 23), insects (5392 24, G. A.
732" 12). :
32. ToUTwy, i. e. TOY dd Tabroudrou Kal ard TUyNS.
dotepov émuoxentéoy, cf, b 23-30, 1034*% 9-21, » 4-7.
ba, rhv pdtv ovatay, i.e. the ovata avev vAns (I. 14), matter being
only in a secondary way part of the substance of the concrete product.
2-4. kal yap... vdoou. Aristotle has said that ‘by art are
produced those things whose form is the soul’. But, he reflects,
disease can be produced by medical art no less than health, yet the
doctor has not in his soul the form of disease ; disease has no form
but is merely a privation. To meet this objection he now adds that
the form is in a sense the form of the privation (only ‘in a sense ,
because it is not by its presence but by its absence that it produces the
privation). Thus if the doctor knows the form of health, he can pro-
duce either health or disease.
4. For éketvys yap dmovola * vdcos, the reading of A>, cf. I. 10048 14.
6-10. This account of production may be compared with the account
of moral deliberation and action, in which 76 €cyarov év rH dvadicer is
said mparov etvar ev TH yeveoes (LZ. VV, 1112" 23). Still nearer is Z. Z,
1227) 28-33.’
7. otov S6uahdtnTa, ei Sé TodTo, Oepudryta. Heat produces réfus, by
which different elements in the body (i.e. portions with unequal
temperature or unequal humidity) are chemically changed into a homo-
geneous whole (és éort reAciwots b7d Tod PvoiKod Kat oikelov Hepuod
éx Tov dvrikeevov TaOntiKdv, Meteor. 379» 18, cf. 3814 20),
14. Méyw S€.. . evar, ‘when I speak of substance without matter
(Il, 12) I mean the essence’,
15. There is much probability in Bywater’s conjecture of tv 8% for
tov dé. 8 would naturally introduce the summing up of the account
given in ll. 6-14.
184 COMMENTARY
17. Tov d\Nwv Tov petagd, i.e. the things that have to be done before
the final object is achieved.
24. tod movetv is emphatic, being opposed to 76 voeiv; cf. 1.15. For
dpxer cf, 10349 11,
26. The heat in the body is (1) an element in health, or (2) is
followed (a) directly, or (4)-indirectly-(d.a wAedvwv) by an element in
health, Thus, if once heat is present, health may be produced without
the action of a doctor just as it is produced dy his action, The ‘ making’
is the same; only the thought is missing.
27. tT... Tovodtoy, something of the same kind, e.g. uniformity
(ll. 7, 19).
27. tT... Tovodtoy, something of the same kind, e.g. uniformity
(ll. 7, 19).
oe? I follow here the reading of A>, which seems to have been
that of Alexander, with the unimportant exception that Alexander may
not have read the éore after évyarov. Alexander’s words are (492. 11)
70 6€ TobTo 8° €oxatov Td mrovody (add, Td pépos Tis byvetas LF) rovodrov
ay éty, OTe 9 Tpifis 7 moodaa TO pépos THS Uytelas eoxaTy etl Kal THS
Ocpporntos Kal THs 6uaddryTos Kat Tov Aowrav. Aristotle’s meaning is
‘and this, viz. that which produces the part of health, is the limiting
point, or minimal necessary basis, and there is similarly a necessary
basis for a house (se. the stones) and for every other product’, It
would be also possible (1) to put a comma after yépos and make ris
dyveias depend on érxarov; and(2 a)to read kat 76 ovrws jépos for 70 pépos
(following EJ except that éori is omitted) and translate ‘that which
produces health and is in that sense a part of it’; or (2 4) to read 7d
Touty TO pépos Kal TO ovTws j.€pos, ‘that which produces the part of
health and in that sense zs a part of it’.
Kal THS oikias (olov of AiGor) Kal rGv &Awv is tacked on very loosely,
like cat ro wip in 10349 17.
It is difficult, however, to regard the relation of heat (or rubbing) to
health as analogous to that of stones to the house that is made of them.
In the generalization which follows, Aristotle regards himself as having
shown that the matter of that which is produced must exist before the
production takes place (1. 31); and stones evidently are the matter of
a house. But the heat in the body is naturally conceived not as the
material but as the efficient cause of health, and so it seems to be con-
ceived in]. 21. Aristotle has got into difficulties through taking as
parallel two things that are not parallel—health and a house (I, 11).
That which is to the doctor as a house is to the builder is not health
but a healthy body. Having stated the product abstractly Aristotle
also states the cause abstractly, not as ‘a body having heat’ but as
‘heat in the body’; and thus he gets something not really parallel to
the stones—which are the material cause of a house—and not really
a material cause. There is, however, in his view a real difference
between the two cases (103449). Stones are inert, at least so far as
grouping themselves into a house is concerned, and are therefore simply
vAy. But a body with heat in it has an innate power of transforming
itself into a healthy state. It is thus both a material and an efficient
cause ; it is 7 VAy » dpxovoa THs yeveoews (1034211). So, too, here it
Tee 7 NOR S17-— 1033" 1 185
.
(l es spoken of as an efficient (I, 21) and then as a material cause
132):
It is thus both a material and an efficient
cause ; it is 7 VAy » dpxovoa THs yeveoews (1034211). So, too, here it
Tee 7 NOR S17-— 1033" 1 185
.
(l es spoken of as an efficient (I, 21) and then as a material cause
132):
Shute suggests that heat is the material cause of health as the genus
is the material of its species (A. 1024» 8, Z. 10384 6), since heat has to
be specifically qualified in order to become health. But even so its
relation to health is not a very close analogue to the relation of the
stones to the house,
30. KaSdmep Adyerat, ‘as we (in general) maintain’, not referring to
any particular passage, Cf., however, A. 1069” 6, Phys. i. 6-10.
32. pavepdv’ 7 yap UAy pépos. It has been expressly remarked with
regard to natural generation that it presupposes a pre-existing matter
(#17), and the same has been implied in the account of artistic and
fortuitous production.
103% I. yiyverax, not ‘comes into being’ but ‘comes to be something’,
1-5. It is most natural to take 4\N’ dpa «rh, as answering to or pev
ovv ktA, The whole section will then mean ‘It is evident then that
a part of the product must necessarily pre-exist; for the matter is
a part, since it is already present in the thing and undergoes genesis.
But does some element in the definition also pre-exist? Well, we
state in two ways what bronze circles are, naming both their matter—
bronze, and their form—such and such a shape; and shape is the
proximate genus in which the circle is placed. The bronze circle
therefore has its material (or generic) element in its definition (as well as
matter in the more ordinary sense—viz. sensible matter, bronze—in its
concrete wholeness. And this must pre-exist as well as the sensible
matter; the bronze which is given a circular figure must already have
figure of some kind)’,
The section, on this view, refers to the doctrine that genus is related
to differentia as matter to form, and thus is in a sense matter
(A. 1024? 8).
The objections to this interpretation are; (1) the ellipticalness of the
expression, The section concludes not, as would be expected on this
interpretation, by saying ‘thus part of the form must pre-exist, as well
as of the matter’, but by saying ‘the bronze circle, then, has its
matter in its definition’. (2) The question of the pre-existence of
form is raised in the next chapter as a mew question, while the
pre-existence of matter is assumed to have been proved in ch, 7.
(3) In the discussion of the pre-existence of form, Aristotle expressly
sets aside the notion that part of the form pre-exists while the rest
supervenes (? 11-16).
(3) In the discussion of the pre-existence of form, Aristotle expressly
sets aside the notion that part of the form pre-exists while the rest
supervenes (? 11-16).
For these reasons I am inclined to think that Alexander and Bz. are ~
wrong in finding here a reference to the doctrine that genus is vAy.
What answers to om pev ov, then, is not GAN dpa but e& ob d€ xrA.
]. 5. The words to be supplied with GAN’ dpa Kal rav ev TO dOyw ;
are 7 VAn pépos (from 1032) 32), as is shown by the conclusion 6 37
xadKods KUKAos exer év TG Adyw THY VAnv. The passage simply points
out that the bronze circle is a Adyos évvAos (De An. 403% 25), that
bronze is present not only in its concrete wholeness but in its definition.
186 COMMENTARY
The main difficulty for this interpretation is kai totdro éoru 70 yevos «is
0 mpatov TiMerat, Which becomes pointless, ‘These words are perhaps
a gloss due to some one who thought there was:a reference to the
doctrine that genus is jAy. For glosses of similar form cf. TI. ro09®
26, A. 1073) 33, and possibly A. 984 1, Z. re41? 28, )8.
GAN’ dpa Kal tov év t@ N6yo; The form ddA dpa is a regular
Aristotelian one, while dX’ dpa is not. I have therefore, with Asclepius
and Bessarion, read dpa and treated the sentence as a question.
Bz. recommends this.in Zzdex go? 28.
2. I have followed Bullinger’s suggestion and written 8 for ée.
‘Particula 67 inserta enunciationi, quae pro fundamento ponitur
proximae argumentationis, eam vel ex communi omnium opinione vel
ex argumentis alibi allatis firmam et evidentem esse significat.’
Bz. Jndex 172258. This seems better than Bessarion’s ye.
’ 5-23. Aristotle passes from the implication of the previous existence
of something éé ob 76 yryvopevov yiyveras, to mention, rather irrelevantly,
his favourite linguistic point about the use of such words as Ad@wos
(cf. ©. 10492 18, Phys. 190% 25, 2459). The connexion is that this
usage arises out of an ambiguity in the meaning of éé ot.
4. éxeivivov. - For this Aristotelian coinage cf. @. 1049% 19, 21.
8. éxetvo é& 06, i.e. Kd pvenV (cf. 1. 12), This, however, as Aristotle
proceeds to point out, is not really analogous to ‘stone’, which
the statue is ‘not said to be’. Stone is the maéler of the statue ;
disease is the frzvation of health. Where the privation is clearly
apprehended and has a name, we say the result comes from the priva-
tion-rather than from the matter (since that from which a thing comes
is properly something that changes, not something that persists, 1. 21);
and what comes from X cannot be said tobe X. Where the privation
is not clearly recognized and named, we say, less properly (ll. 19-22),
that the thing comes from its matter, and, since here too we feel the
difficulty of saying that a thing is what it comes from, we say not
that the statue is wood but that it is ‘wooden’. This is the origin
of such words (81a pev odv TOdTO oTwSs Aéyerau, has).
19-22),
that the thing comes from its matter, and, since here too we feel the
difficulty of saying that a thing is what it comes from, we say not
that the statue is wood but that it is ‘wooden’. This is the origin
of such words (81a pev odv TOdTO oTwSs Aéyerau, has).
8-11. ylyverat . . . Gyuns is concessive; paddov pévro. xTA. is in
sense the principal clause.
15. tTovrwy, sc, bronze, bricks, timbers.
Soxet. Schwegler and Bz. are wrong in their suspicion that Alexander
read, as Bessarion did, od doxet. Cf. Al. 493. 17.
Form does not come to be, any more than matter, bul only the
combination of the two (ch. 8).
1033724. What comes to be comes to be by something and from
something (let us take this to be the privation, not the matter) and
comes to be something, e.g. a sphere. The sphere is not made, any
Z. 7. 163322 —8.. 40331 187
more than the bronze, which is the matter ; save per accidens, since the
bronze sphere is a sphere and is made.
gi. For to make a ‘ this’ is to make it out of the substratum, im the
full sense (i.e. out of a given form as well as a given matter). If the
substratum were made, it would be made out of something else, and so
ad infinitum.
b5. Evidently, then, the form is not made; the concrete thing
is made by putting the form into the matter; if the form were made it
would have to be divisible into matter and form.
1g. Is there a sphere apart from the particular spheres, a house
apart from the bricks? Surely there would never have come into
being a ‘ this ’ at all if that were so. The form isa ‘such’, not a ‘this’;
in making, a ‘this such’ is made out of a ‘this’. The whole ‘this’,
e.g. Callias, is analogous to ‘this bronze sphere’, man to ‘ bronze
sphere’,
26. The Forms, if there are any Forms apart from particulars, do
nothing to explain becomings or substances, and are not, on that
account at least, to be viewed as self-subsistent substances.
29. In some cases it is obvious that the producer is something one
in kind with the product, i. e. in natural generation, except in abnormal
cases such as the production of a mule by a horse, and even there the
class that comprises both parents presumably has the characteristics ot
both, and is something like a mule.
1034*2. Thus we need not posit a Platonic Form as pattern, for
living things are what are most truly substances, and there would
be a Form here if anywhere. The begetter is adequate to the putting
of the form into the matter. The individual is ‘such a form in
this matter’, matter being what differentiates individuals identical in
form.
10337 26. 78y yap Sidprotar, |. 8.
BI. é€k Tod Gdws drroKewpevou, ‘from the substratum in the full sense
of the word’, including form as well as matter (1029%2). So Al.
495. 9
32. For the absence of the article before tév xadxdv otpoyyudov
movety cf. A. 10146 n., Kuhner ii. 2. §472 a. A good example is
found in Pl. Rep. 493.¢ 6 tiv Tov TOAAGY... dpynv Kal ydovas Kara-
vevonkevat copiay iyovpevos.
So Al.
495. 9
32. For the absence of the article before tév xadxdv otpoyyudov
movety cf. A. 10146 n., Kuhner ii. 2. §472 a. A good example is
found in Pl. Rep. 493.¢ 6 tiv Tov TOAAGY... dpynv Kal ydovas Kara-
vevonkevat copiay iyovpevos.
34. It is doubtful whether we should not insert a comma after totro
and translate ‘but is to make one of two different elements—e.¢. this
form, viz. sphericity—in another’. This is attractive, but the com-
bination érepov 7 év dAAw does not seem very likely ; we should expect
TOde év THde OF Ti ev Twi.
b1, todto yap éméxetto, ‘for this was assumed’ (@ 25).
188 COMMENTARY
3. Touro seems to refer to Tod dAws trokepevov * 31, the intervening
passage being parenthetical.
5-6. o08€ 76 cldos . » , yiyverat, Aristotle does not necessarily
mean that form is eternal, Sometimes he says that it comes into being
and passes out of being instantaneously, Cf. ro39> 26, H. 1044? 21.
In one passage (H. 1043» 14) he gives both alternatives—j didiov eivar
} POapriv avev Tod pOeiperOar Kai yeyovévar avev Tov yiyverOur. He
apparently means these two alternatives to apply to different kinds of
form. Pure forms which exist untrammelled by any conjunction with
matter—God, the intelligences that move the spheres, the human
reason—are eternal, Among the forms the acquisition of which by
matter constitutes becoming or change, a distinction must be drawn.
Where what is produced is a new substance, its form must have
pre-existed in another individual; where what is produced is
a substance with a new quality, quantity, &c., the quality, quantity, &c.,
need not have pre-existed actually; it may have existed only
potentially (103418). dvOpwzos dvOpwrov yevva, but there is no corre-
sponding principle Aevxdy Aevxdy yevvd. Le, in the former case the
form is eternal; in the latter it comes into being instantaneously; it
supervenes in a moment on a change which has taken time,
6. For the superfluous o@ cf. #16, 21.
7. o08€ 76 ti qv etvar. In these words Aristotle simply brings out
another aspect of what has already been called 76 efdos and 7 ev 7o
aic@nrS poppy, viz. that it is what is stated in a definition.
8. ious as opposed to réyvy and divas is dpyy év avg as against
ev dddw (A. 10708 7, De Caelo 301 17). For the difference between
téxvn and dvvayus cf. E. 1025» 22-n.
14-15. 16 pev, the genus, which is to the differentia as dy to eldos
(cf. A. 1024> 3, 8). 16 8’, the differentia. 716 5é, the specific form.
16. otov here introduces not an example but a comparison. The
specific form, as composed of genus and differentia, answers to the
concrete thing, as composed of matter and form. For this use of otov
cf, Bz. Index 501> 55-60.
A. 1024> 3, 8). 16 8’, the differentia. 716 5é, the specific form.
16. otov here introduces not an example but a comparison. The
specific form, as composed of genus and differentia, answers to the
concrete thing, as composed of matter and form. For this use of otov
cf, Bz. Index 501> 55-60.
17. It is possible that the manuscript reading ocvvodos might mean
‘the coalescence of matter and form’. But such a meaning for
the word would be without parallel in Aristotle or, as far as I know,
elsewhere, and Jaeger is almost certainly right in reading cvvoAos.
For 7 svvodos ( = 7 atvodos ovcia) cf. 1037% 26, 30. The same con:
fusion has occurred in manuscripts in both those passages; A and A
are easily interchanged,
19. yevvwpévy, the reading of EJ, is supported by yevva, |. 23 (cf. |. 30).
tOde.. . TOdE, Sc. VA... €ldos, Cf. 1. 13.
métepovy kth. Aristotle passes now to consider a doctrine which
might seem to follow from his denial of the creation of form, viz. the
Platonic doctrine that Forms exist eternally and independently. To
this Aristotle answers that form is never a substance, always
a characteristic ; never a rode, always a rowvde. Before it existed as
the form of the offspring it existed as the form of the parent.
Z. 8. 1033 3 — 1034 3 189
21. 7) 08 Gy ...7t. Since one substance cannot contain another
actually existing substance (1039 3), it follows that if the form
were a substance there could never come into being an individual
substance containing it as an element. So Al, Bz. But quite
probably we should omit the comma after jv, and translate ‘ Perhaps
the answer is that if the form were an individual subsistent in this
manner, coming-to-be would never take place at all’.
24. Kahdias, cf. A. 98198 n.
26. 1 tdv eidav aitia, ‘the cause which consists of the Forms’.
28. mpds ye Tas yevéseis, the reading of A», is clearly an improve-
ment on the vulgate apds re ras yeveres.
33. Aristotle’s account is that the form of the mule is not the same
as that of its sire, the horse, since this has failed to master the
opposition offered by the material element coming from the dam, the
ass; but it is identical with the generic form of the sire, since this is
also the generic form of the dam and thus has no opposition to
conquer. Thus the mule is a sort of abstract universal, with the
generic qualities common to horse and ass but without (or at least not
having all) the specific qualities of either.
1034° I. odk @vdpacta. Aristotle himself uses the word Addovpor,
‘bushy-tailed creature’ (e.g. in H. A, 491% 1).
3. TovToLS, sc. TA Hvoixd (1033 32), living things.
The conditions of spontaneous production answering (a) to artistic (b) to
natural production. The conditions of production in categories other
than substance (ch. 9).
in H. A, 491% 1).
3. TovToLS, sc. TA Hvoixd (1033 32), living things.
The conditions of spontaneous production answering (a) to artistic (b) to
natural production. The conditions of production in categories other
than substance (ch. 9).
1034* 9. (1) (2) Why are some things (e.g. health) produced
spontaneously as well as by art, and others not (e.g. a house)? The
reason is that in some cases the matter which begins the production is
such as to be moved by itself, in some not; sometimes again it can
move itself in the particular way required, sometimes not.
18. Accordingly the product will or will not need the artist for its
production; in the latter case it can be set in motion by what has not
the art but can be moved either by something else that has not the art
or by a movement starting from an already existing part of the
product.
21. Thus all artefac/a are produced from something else with the
same name as themselves, as living things are produced, or from
a part which is of the same name (e.g. a house from a house, since the
art of building is identical with the formal element in a house) or
from what contains a part—unless the production be merely incidental.
25. For the cause of direct ger se production is a part of the
>... 7 those under which it mimics nature. In > 7-19
he discusses the genesis of qualities, quantities, &c., as distinct from
that of substances.
1034* 11-13. Tay pev H OAyn... 7 ev ToradtTn. As Bz. observes, the
insertion of the explanatory words 7 dpyovea, &c., has caused Aristotle
to forget the original structure of the sentence. The anacolouthon is
a natural one.
II. 1 Sdn 7 Gpxouca Tis yeveoews. The phrase might seem peculiar,
in view of the passivity commonly ascribed to matter by Aristotle.
The explanation is that it is only prime matter that is entirely passive ;
other matter has some quality of its own and can thus inifiate move-
ment: Cf. 1032> 28- —30 0.
12. TL pépos Tod mpdypatos. The notion that a part of the sesh
must be pre-existent has been ae expounded in 1032 26—
ROSS 7 i.
13-18. Aristotle divides matter thus:
(1) some matter can initiate motion, (2) some cannot.
Of (1), (2) some can initiate motion of the particular sort required
to produce a-certain result; (4) some can initiate motion of some kind
but not of the kind required; e.g. stones of themselves can fall
but cannot arrange themselves into a house, fire.can rise but cannot
move so as to heat bronze.
Two mistakes seem to be involved in this classification. (i) Aristotle
assumes wrongly that the elements have a natural motion in certain
Leo LOSAM TIS! 1 Igl
directions, earth downwards, fire upwards. (ii) This once assumed, it
is hard to see what is the matter he describes as having zo power of
starting motion on its ownaccount. Apelt suggests that great masses
of rock may be meant, and this is possible, though, as he says, zwkon-
sequent genug.
17. For &8t pévtow vat cf. Zop. 171% 20 éore pev ds ov, dor 8 ds
Apelt suggests that great masses
of rock may be meant, and this is possible, though, as he says, zwkon-
sequent genug.
17. For &8t pévtow vat cf. Zop. 171% 20 éore pev ds ov, dor 8 ds
,
* vat.
18-Ig. T4 pév, those products whose matter is of type (1 4) (e.g.
a house), ta 8¢, those whose matter is of type (1 a) (e.g. health),
19. It seems clear that kwnOyoetar is used in a peculiar sense.
The subject of the sentence is ‘the products which can come into
existence without the agency of an artist’, and «.vyOyoerar must. mean
‘the motion which produces them will be started’, very much as if we
had had yevyoerar (cf. dudw kwyoe, @. 1046" 21). The sentence then
means ‘the motion leading to such products will be originated
by these things (the things which have some power of originating the
required motion, cf. 1. 14), which have not the art in question but can
themselves be moved either by other things which have not the art, or
with a motion that starts from a part of the product which already
exists in the things themselves’, Thus Aristotle recognizes three
modes of production of, e. g., health; it may be produced
1) purposely, by the physician,
U3 spontaneously, (a) by some action of a non-physician (or
a materialeobject) on the sick body, (4) by a motion starting from
some element of health (e.g. heat) present in the sick body.
20-21. kwetoOar ... téexvnv. There is no trace of these words in
Alexander (498. 29), and they are decidedly suspicious ; the pév of
EJ in 1. 20 looks like a piece of patchwork inserted in view of an
intrusive $¢ clause following. Christ conjectured very reasonably
(Studia, 45) that xivetoOar dvvapevwv airadv (loosely used for xweicOa
duvdpeva ard) was a gloss on xwOyoera, and tx’ dddwv ovk éxovTwv
Thy Texvnv a variant Of dd TovTwY TOV odK éxdvTWY THY TEXVNV.
21. ék pépous is difficult, but a comparison with 1032> 26—1033° 1,
1034*%12, 24-30 shows whatis meant. Asc. gives a good instance of
Aristotle’s meaning, rod eudvrov Oeppod tAcovacavtos Kal KatacBécavros
thy Woxpav dvoxpaciay (407. 6). Not improbably, however, 7) é« épovs
has been wrongly inserted here, as in 1. 24, from the margin.
21-26. The section *® 9-32 is concerned with the conditions under
which products’ normally produced by art are occasionally produced
spontaneously. It is not till * 33 that Aristotle passes to consider
natural products and the conditions under which spontaneity mimics
the work of nature. dyra, then, means ‘all arzefacta’, i.e. things of
the type of artefacta, whether actually produced by art or spontane-
ously, The reference to natural products (éomep ra pvoer) is by way
of comparison—just as ar/efacia are referred to by way of comparison
in the account of natural products (*34, >4). ‘All aréefacta are
produced from a thing having the same name as themselves, as are:
natural products, or (more exactly) from an element in themselves
192 COMMENTARY
‘All aréefacta are
produced from a thing having the same name as themselves, as are:
natural products, or (more exactly) from an element in themselves
192 COMMENTARY
which has the same name as themselves (e. g. a house is produced from
a house, inasmuch as it is produced by reason, for the art of building
is identical with the formal element in a house), or from something
involving an element in them (and having the same name as it)’.
One is tempted to punctuate so as to take é& oikias, éx pepovs
(sc. éuwvdpov) } exovrds Tu wépos as stating for the case of the house
the alternatives stated generally as e€ duwvipou, ex pépovs duwvvpov.
But a house cannot be produced ék ppovs in the sense in which
éx pépovs is used in 1, 21 and presumably therefore in |. 24. For ek
pépovs is used in |. 21 to indicate the way in which spontaneous:
production takes place, and a house is never produced spontaneously
l. 10).
The sentence is evidently corrupt; the repetition 7 é« pépous
Spovipov ...%) €k pépovs can hardly stand. Bonitz detected corrup-
tion but offered no cure. Christ bracketed 7 ek pépovs dépwvipov int
], 23 and read % ék pepovs duwvdpov in |. 24, assuming that Alexander
read 7 ék pepovs cvvwvipmov (Or duwvipov) there (Al. 499. 20). But
Alexander seems to have had this phrase in |. 23 (499. 12), and per-
haps only there; and the same is true of Asclepius (410. 3). It
seems probable that 7 é« yépous, having at some early date been dis-
placed from |. 23, was added in the margin and later inserted in |. 24.
Cf. previous note.
22. é& épwvipou. ra doe are actually produced éxk suvwyvipov
(A. 1070* 8), from that which shares their nature as well as their
name, but Aristotle occasionally ignores the distinction between
bpavupov and cuvavupov, which did not exist in ordinary Greek usage ;
cf. A. 987> 9 n., De Gen. ef Corr. 328» 21.
24.) 6d vod. This emendation, which had occurred to me
independently, has been proposed by L. Robin in Archiv f. Gesch. d.
Phil. xxiii. 3. The manuscript reading 7 79 vod is not impossible,
but a justification of é€ oixéas rather than an alternative to it seems to
be required. 7 would easily be corrupted into 7 by the influence of the
other 7 in the sentence.
# €xovrds tt pepos. For the absence of the article with ¢yorros cf.
A. 10227 6,
25-26. édv... pépos. Aristotle notes here that what he has said in
ll. 21-25 of the implications of production applies only to production
which is not merely incidental. That by virtue of which A produces
B directly per se isa part of B. rod zouety rpGrov kal avro, ‘of its
producing the result directly per se’. Incidental production may be
illustrated by the case of the builder’s producing not a house simply
(which he produces directly) but a house which is agreeable or injurious
to its inmates (E. 1026> 6-10).
28. 7 dkodouet. Jaeger supposes 7 to have been corrupted into 7 as
in], 24. But Alexander read 7 (499. 27, 30, 35); cf. also 10326 27.
1026> 6-10).
28. 7 dkodouet. Jaeger supposes 7 to have been corrupted into 7 as
in], 24. But Alexander read 7 (499. 27, 30, 35); cf. also 10326 27.
29-30. 8d... [Oepydrys]. The manuscript reading if kept would
have to be translated ‘that is why the rubbing (cf. 1032» 26) is said to
produce health, because that of which health is a consequence produces
§1. ALBERTS COLLEGE LIBRARY
Z. 9. 1034222 — 1034? 13 193
health, viz. heat’. Buta far better sense is got by treating (with Jaeger)
THv byievav and Oepudorys as glosses on 86 Kat éyerar woveiv and dru
exelvo trovet respectively. The sense then is ‘and this is why the heat
in the rubbing is said to produce health, viz. because it produces that
on which health follows’. Alexander understood the passage rightly
(499. 36—500. 6), though Al.¢ has wove? riyv byieav.
30-32. In syllogism, i.e. in the scientific syllogism, a property is
shown to belong to a subject in virtue of the subject’s essence or =
definition (Az. Post. 9031). So too in generation the product
springs from its ownessence. This applies to all three kinds of produc-
tion described in ll. 21-30. (1) In natural production it is the specific
essence of the father (which is identical with that of the offspring)
that produces the offspring. (2) In artistic production the essence of
the product, conceived by the artist, is the cause. (3) In spontaneous
production heat, for example, which is the cause of the production of
health, is the inner essence of which health is the manifestation.
33-34. TS prev yap oméppa . . . téxvns, ‘for the seed is productive
in the same way as the things that work by art’.
b 3-4. édv... tpidvou. These clauses as traditionally arranged can
be made intelligible only by reading: aX éav and punctuating as fol-
lows : od yap mavra ovtw Set Cnreiv ws e€ dvOpdrou dvOpamos—xal yap
yorn eg dvdpos* 810 Hiovos ovk e& jprdvov—adn’ éay pn THpwpa iE But
this is excessively awkward. 810 . . . ypudvov does not follow naturally
on the previous clause. Alexander (500. 13, 35) and Asclepius (411.
7) as well as AP read éay simply, and ddAd is pretty evidently a piece
of later patchwork ; and not a successful one, since dA’ éay .. . 7 has
to be taken rather unnaturally as = ‘ but only if it is not a rypwpya’.
Alexander interprets éov... as coming Jefore did... Husdvov, and
may have had the clauses before him in that order, The sense gained
by the transposition is quite satisfactory ; o¥ yap ... dvépds is inter-
posed parenthetically to explain the cautious zws in 1 I, and then the
exception to éort TOS Spaivupov is stated i in dv wy mypwpa 7 (cf. the
position of ea pn Karo. ovpBeBnxds yeyyras in #25), and illustrated.
Cf. dy pa Tt Tapes poow yevnrat, otov tm7os jyplovov 1033 33.
4. @omep ékel, i.e. in the field of nature as in the already (2 9-32)
discussed field of art. For ‘spontaneous generation’ cf. Bz. Zndex
124» 3-26.
the
position of ea pn Karo. ovpBeBnxds yeyyras in #25), and illustrated.
Cf. dy pa Tt Tapes poow yevnrat, otov tm7os jyplovov 1033 33.
4. @omep ékel, i.e. in the field of nature as in the already (2 9-32)
discussed field of art. For ‘spontaneous generation’ cf. Bz. Zndex
124» 3-26.
7-19. Christ thinks this passage belongs properly to ch. 8. It is,
more exactly, an appendix to the whole subject discussed in chs, 7-9.
7. & adtav, ‘from the parent animals themselves’. Cf. Schwegler,
Lxcursus III, on the pregnant use of airés.
Q. Tav mpdtwy. For this as a name for the categories cf. ra Kowa
apata An. Post. 96” 20, ra. rpdta tov yevov B. 998” 15.
II. kat émt xadkod, ei ylyvetar, ‘and as bronze, if it is generated, im-
plies a form and a matter that are not generated at the same time
as it’.
1g. The coming into being of a bronze sphere is the imposition of
a new shape (which is a kind of guality, Cat. 10711) on an existing
2673-2 Oo
194 COMMENTARY
substance ; the coming into being of bronze is the generation of a new
substance. Aristotle now generalizes and says ‘so is it, sc. generally,
both in the case of substance and in that of quality’, &c.
16-19. Cf. 1033” 5-6 n.
EsSENCE AND DEFINITION (chs. 10-12).
(1) Should the account of a whole contain that of the parts? (2) What
parts are prior to the whole ? (ch. 10).
1034 20. (1) Must the definition of a whole contain that of the
parts? The definition of the circle does not contain that of the
segments, but the definition of the syllable contains that of the letters ;
why is this?
28. (2) If the parts are prior to the whole, the acute angle should
be prior to the right angle, the finger to the man. Yet the wholes are
prior both in definition and in power of independent existence.
32. (1) Really ‘part’ is equivocal. The parts of substance are
matter and form, but in a sense only the elements of the form are parts
of the thing.
1035°4. E.g. flesh is a part of snubness but not of hollowness ;
bronze is a part of the whole statue but not of it as form (a name, like
‘statue’, may be applied to the form or to the thing as having form,
but never to the bare matter).
g. This is why the case of the circle differs from that of the syllable
(cf. 1034” 24). The letters are parts of the form of the syllable; the
segments of the circle are matter on which form supervenes, though
nearer the form than the bronze in a bronze circle is.
14. In a sense not all the letters are present in the definition of the
syllable ; the letters in wax or in the air are only the sensible matter of
the syllable. For the parts into which a whole is dissolved may be
parts of the concrete whole but not of the form, and therefore not
present in the definition.
25. Hence things which are composed of form and matter (e. g. the
snub, the bronze circle) can be dissolved into their material parts ;
immaterial things cannot be so dissolved.
25. Hence things which are composed of form and matter (e. g. the
snub, the bronze circle) can be dissolved into their material parts ;
immaterial things cannot be so dissolved.
gi. Thus the clay statue is dissolved into clay, and even the circle
into its segments—i.e. the individual circle, not the circle in the
abstract.
» 3. (2) To restate the matter, (2) parts which are parts of the
definition and into which the definition is analysed are, at any rate
some of them, prior to the whole definition ; but the definition of the
Z. 9. 1034 16-19 195
right angle is not analysed into that of the acute but we versa, for
the acute angle is defined as ‘less than a right angle’.
9. So too with the circle and the semicircle, the man and his finger,
The parts which are matter are posterior to the whole; the parts of
the substance as defined are prior, at least some of them.
14. (a) Since the soul is the substance as defined (or form) of such
and such a body (at least no part of the body can be properly defined
apart from its function, which involves perception), so that (4) the parts
of the soul are (all or some) prior to the concrete animal, while the
body and its parts are posterior to the soul and are the constituents
not of it but of the concrete whole,
22. therefore (c), while the bodily parts are prior in a sense to the
concrete whole, in a sense they are not (for the finger in the proper
sense cannot exist apart from the animal); while some bodily parts are
neither prior nor posterior, viz. the supreme parts in which the essence
immediately resides, e. g. the heart or the brain.
27. Things which are predicated universally of particulars (e.g. man)
are not substance but a compound of this definition and this matter
taken universally, while the individual comprises an ultimate individual
portion of matter.
gi. (1) (Return to the first problem.) There are parts of the form,
parts of the concrete thing, and parts of the matter; only the first are
parts of the definition, which is of the universal.
10362 2. The concrete individual, whether sensible like a bronze
circle or intelligible like a mathematical circle, is not definable but
knowable by the aid of intuition or perception; when the circles have
passed from actuality, it is not clear whether they exist or not, but
they are described by the universal definition.
8. Their matter itself is unknowable. Matter is sensible and change-
able, or else intelligible—viz. the matter which exists in sensibles not
gua sensible, i. e. mathematical figures.
12. We have now treated of whole and part, priority and posteriority ;
we must next answer question (2) (return to the second problem),
whether the right angle, the circle, the animal, or their parts are prior.
We answer by a distinction :
e. mathematical figures.
12. We have now treated of whole and part, priority and posteriority ;
we must next answer question (2) (return to the second problem),
whether the right angle, the circle, the animal, or their parts are prior.
We answer by a distinction :
16. If ‘animal’ may mean the soul, ‘the circle’ circularity, ‘the
right angle’ right-angleness, then while the whole in a sense is posterior
to the parts in a sense, i.e. the bronze right angle or the right angle
formed by particular lines is posterior to the parts in the definition and
to the parts of the particular right angle, the immaterial right angle is
posterior to the parts in the definition but prior to those of the
particular ;
O02
196 COMMENTARY
24. but if the soul cannot be said to be the animal, even so some
wholes are prior to their parts, others not, as has been said.
In this chapter Aristotle returns from the digression on generation
which has occupied chs. 7-9, to continue, in-effect, the discussion of
essence which occupied chs. 4-6. The chapter raises two main questions:
(1) Should the definition of a whole contain the definitions of the
parts (1034? 20-28)?
(2) Are the parts prior to the whole (? 28-32) ?
The treatment of the two questions is interwoven: (1) is discussed
in > 32—1035> 3, 1035 31—1036 12, (2) in 1035 3-31, 1036
413-25.
103420. was 8é Adyos pwépyn Exer. A Adyos must contain at least
two words (De /n/, 16> 26); it must mention a genus and at least one
differentia.
31. The subject of Néyovra: is ‘the parts’, though in the next clause
‘the wholes’ are again the subject. Schwegler’s proposal to read ob
doxet in ]. 30 does not mend matters, since then there is a change of
subject in kai r@ etvar de dvev GAAHAwY wpdrepa, and further éxeivwy will
not refer to the same things as éxeiva. (Schwegler is wrong in thinking
that Alexander read od doxe?. At 502. 16 Alexander is paraphrasing
the sense.) For a similar construction cf. M. 1077? 3 n.
kat TG elvan Sé dvev GAAHAwY mpdtepa. What Aristotle says is true
enouch of the finger; the body can exist without it, while it cannot
exist without the body—it ceases to be a finger, except in name. But
he is careless in assuming that the position of the acute angle is similar ;
it is not true that the right angle can exist without the acute angle and
not the acute angle without the right angle. Take a finger away from
a living body and you leave it still a living body; take an acute angle
away from a right angle and it ceases to be a right angle. Aristotle
distinguishes the two cases clearly enough in A. 27. His other point,
that the definition of the acute angle presupposes that of the right angle
and not vice versa, is of course correct.
33. ets pev... moody. For this rpdmos cf. A. 1023) 15.
Aristotle
distinguishes the two cases clearly enough in A. 27. His other point,
that the definition of the acute angle presupposes that of the right angle
and not vice versa, is of course correct.
33. ets pev... moody. For this rpdmos cf. A. 1023) 15.
10352 7. ‘ For the form or the thing as having form may be spoken
of as the so-and-so (éxacrov), but the material element by itself should
never be said to be the so-and-so,’ This is probably intended by
Aristotle to justify him in speaking (in ll. 6, 7) of the form alone (as
well as the concrete whole) as ‘the statue’, while he refuses to call the
matter alone a ‘statue’.
11. Alexander is no doubt right in taking tod Aéyou as dependent on
pépy, Not on oroixela (504. 5-8). For tot doyov rod eidovs cf. 1. 4.
12. éf js. With the manuscript reading ed’ ots, we have, very
awkwardly, to suppose a comma after vAy. Jaeger is no doubt right in
supposing ois to have come in by itacism (cf. apparatus crilicus to
T. 1004% 20, A. 10249 23, Z, 1030>35). ed’ as is sufficiently con-
firmed by 10357 5, 1036% 31, » 6.
13-14. éyyutépw... éyyévntat. In a bronze circle there are two
Z. 10. 1034 20 — 10358 20 197
grades of matter, one more essential than the other. Strip off the
sensible matter (bronze) and you are still left with intelligible matter
(the spatial parts of the circle). Aristotle’s remark here anticipates the
doctrine stated in 1036* 9.
16. 1a év 76 dept, letters spoken and propagated through the air;
cf. De Sensu 446” 6.
20. 70 cvvoXoyr is not to be identified either with the sensible or with
the individual. It is applicable (1) to the intelligible individual
ees 3), (2) to the universal answering to a set of sensible individuals
1035» 29), (3) to the sensible individual ; in fact to anything that con-
tains matter either universal or particular, either intelligible or sensible.
One would suppose that, as the universal of a set of sensible individuals
contains the universal of their sensible matters (1035> 29), the universal
of a set of intelligible individuals would contain the universal of their
intelligible matters and would thus be a fourth kind of oivodov. But
Aristotle does not draw this inference, and treats ‘the circle’ not as
corresponding to ‘man’ and differing from it only by containing
intelligible instead of sensible matter, but rather as corresponding to
‘soul’, which he identifies with ‘ being a soul’, i.e. with the pure form
of vitality (103671). The main importance of the chapter lies in the
recognition of (1) the intelligible individual, and (2) the materiate
universal or \dyos evvAos (De An. 403? 25), as intermediates between the
sensible individual and the pure form or, as we may call it, Adyos avAos.
A consideration of, say, the circle leads to the recognition of five
entities :
(a) the relation stated in the equation to the circle,
(3 this relation spatialized (the circle in general),
¢) this relation exemplified in a particular space—(1) above,
A consideration of, say, the circle leads to the recognition of five
entities :
(a) the relation stated in the equation to the circle,
(3 this relation spatialized (the circle in general),
¢) this relation exemplified in a particular space—(1) above,
(d) this relation embodied in a certain type of matter—(2) above,
(e) this relation embodied in a particular portion of matter —
(3) above.
Aristotle in effect here ignores (4) or identifies it with (a). And in
1036 7-20 he rejects the Platonic conception that the form of line is
something non-spatial—the number 2. This goes with his insistence
(in the Posterior Analytics) on a complete separation between arith-
metic and geometry.
It is evident that Aristotle’s intelligible individuals answer to ra
petagd of the Platonists (for which cf. A. 987>14n.). He attacks
these (A. 991 29, B. 997° 14, K. 1059) 6, M. 10771, N. 10go? 36)
without hinting that he himself held a similar doctrine. There is,
however, an essential difference, in his opinion, between the two
doctrines. He thinks, rightly or wrongly, that the Platonists regarded
the intermediates as separately existing entities, while he himself thinks
of them as existing in sensible things and separable only by definition
(1036 11, M. 2, 3); his objection to ra peragv is the same as his
fundamental objection to the Ideas. But it is noteworthy that he also
attacks a doctrine of intermediates which, like his own, conceived of
them as existing zw sensible things (B. 9984 7). This doctrine too, he
198 COMMENTARY
would doubtless say, regards the intermediates as substances, while he
regards them merely as characters of substances.
21-23. Neither the text of EJ nor that of AP in these lines can be
accepted, and an early corruption is clearly indicated. The singular
7 in 1. 23 indicates that Adyos has been spokenof in the singular, and
TO pey...7@ 0 was probably the original reading. This was
corrupted into tov pev...7dv 8, and the reading of AP implies an
attempt to amend the whole reading thus produced.
23. av ph 770d cuverAnppevou. Jaeger (anticipated by Christ) thinks
this a gloss, (1) because in his view, whether we understand these
words as meaning ‘ unless the parts are parts of the concrete thing’ or
‘unless the definition is the definition of the concrete thing’, they
destroy the sense, and (2) because he thinks 7d cuverAnppevoy could
not be thus used without any explanation, not having occurred before
in Z The words occur, however, in all the manuscripts and in
Alexander and are defensible, though not necessary. (1) They state
the condition under which the parts should not be mentioned in the
definition of the whole. ‘But in another kind of definition the
definition of such parts should not be present, viz. if the definition is
not the definition of the concrete whole.’ (2) cvveAnpperov peta THs
tAys has occurred already in E. 1025) 32; further, ocvverAnpupévov is
explained presently, in 1. 25. —
‘But in another kind of definition the
definition of such parts should not be present, viz. if the definition is
not the definition of the concrete whole.’ (2) cvveAnpperov peta THs
tAys has occurred already in E. 1025) 32; further, ocvverAnpupévov is
explained presently, in 1. 25. —
29. 7 ddws 7 ovToL oTw ye. Forms are not destroyed by dismember-
ment but are eternal or else cease instantaneously to be (H. 1043” 14).
For these two alternatives cf. 1033 5-6 n.
32. Bz.’s addition of yadxp between % and odaipa is not necessary.
The bronze circle has been mentioned already (1033? 30 ff.), so that
xaAxn can easily be supplied in thought.
33. 6 KadAtas, cf. A. 9812 8n.
ba. 6 Kad éxacta, cf. B. 999? 26n.
5. 7) wavta 7) eva. The last differentia of a species is logically
neither prior nor posterior to it (1038% 19); all the other elements in
the species are prior to it.
4. The insertion of 6 seems necessary.
14. 7} wdvta 4 eva, cf. 1. 5n.
14-27. This is to be treated as one sentence, the apodosis beginning
not with éore (J. 18) but, as often in a long sentence, with pév ody (I. 22).
18. 5 odx Umdpger dveu aicPycews, sc. ‘and therefore involves soul ’.
IQ. 4 mdvyta 7 eva, cf. 1.5 n. The elements of the form other than
the last differentia are prior to the materiate universal, as they are to
the form ; the last differentia is ‘ simultaneous’ with both.
kal Ka0 éxactov 8) Spoiws. Al, 508. 8 interprets this as meaning
‘and as with animals, so with other concrete wholes’. Aristotle’s way
of expressing this would probably be épuotws 8¢ kal éritav dAAwy. The
meaning is ‘and as the parts of the soul are prior to the concrete animal
as such, the parts of Socrates’ and Callias’ souls are prior to Socrates and
Callias, the concrete individuals ’.
23. éotw ds, éott 8 ws ov. The parts of the body are prior to the
Z. 10. 1035% 21 — 1036% Io 199
concrete whole of form and matter as the element is prior to the com-
pound, but not prior in the sense that they can exist apart from it.
When they are separated from it they remain the same only in name.
25. eva S€ duo, These supreme parts are of course prior to the
concrete whole in the sense in which a finger is so (cf. previous note),
but in the sense in which the finger is posterior to the concrete whole
these are neither prior nor posterior to it; they cannot exist without it
nor it without them. Cf. A. 10249 23-28.
26. Kkapdia 7 éyképados, cf, A. 1013% 5n.
29. ovk éotw otcia. This may be compared with the view of the
Categories that these things are devrepar odotar.
30. &s xaOddou goes, I think, with ripodt tis drys, ryodi THs VAs
as kafoXov being opposed to ris éoxdrys VAns.
33. Bz.’s addition of a second kat ris bdns is required to account
for air#s. But it is hard to see how Aristotle could distinguish parts
of the matter from parts of the concrete thing; the third alternative is
probably added simply for the sake of naming all the logical possibilities.
But it is hard to see how Aristotle could distinguish parts
of the matter from parts of the concrete thing; the third alternative is
probably added simply for the sake of naming all the logical possibilities.
10362 4. otov = ‘i.e.’ _
Tods padnpariKous, i. e. the plurality of circles which many geometrical
propositions imply, different on the one hand from ‘the circle’ or
circularity, on the other from material approximate circles.
5. peta vonoews 7 atoOycews, not exclusively by rational intuition or
by perception, but by discursive thought with the aid of them. Cf.
Plato’s description of sensibles as apprehended d0€ per’ aicOyoews
(Zim. 52 A).
6. _é« Tis évrehexetas, the activity of intuition (vdyo.s) or of percep-
tion, according as the individuals in question are intuitable or
perceptible.
8-9. 4 8 thy... attHv. Aristotle has pointed out that pure form
is definable and that the concrete individual is grasped (@) in its
individuality, with the aid of yénows or aicPyows, and (4) so far as its
universal nature goes, by definition. He now adds that substance in
the third of the senses recognized in 1029 2, 3, 1035%2, viz. bare
matter, is not knowable at all.
g-10. The phrase vA7 voyry occurs, in Aristotle’s works, only here and
in 1037" 4, H. 1045 34, 36. Prima facie it has different meanings
in the two books. In Z it is something which exists in individuals
(103721, 2)—in non-sensible individuals (1036 35) or in sensible
individuals not considered as sensible (1036 11), and the only instances
given of these individuals are mathematical figures (103644, 12,
1037%2). It seems to be equivalent to 4 7dv pabnpatidy try of
K. 105915. Alexander accordingly identifies it with extension
(510. 3, 514. 27), and as far as Z goes this interpretation would be
satisfactory. But in H it is the generic element in a definition, and
therefore (1) is present in the nature of a species (there is no reference
here to individuals), and (2) has no limitation to mathematical objects.
It is not likely, however, that Aristotle would have used the
phrase in two quite unconnected senses, and it is noteworthy that
200 COMMENTARY
the instance of it given in H is a mathematical one; ‘plane figure’
is the tA vont? of the circle. It would seem, then, that either the
wider conception was already in his mind when he wrote Z, and
extension is merely given as an instance of dAy vonry, or (which seems
more probable) he generalized the notion when he came to write H.
If we are right in connecting the two uses, Ay vonry in its widest
conception is the thinkable generic element which is involved both
in species and in individuals, and of which they are specifications and
individualizations.
If we are right in connecting the two uses, Ay vonry in its widest
conception is the thinkable generic element which is involved both
in species and in individuals, and of which they are specifications and
individualizations.
It is evident from ]. 11 that in Aristotle’s view everything that has
sensible matter has intelligible matter, while the converse is not the case.
Similarly everything that has tAn yervyti kat POapry has vA torucy and
the matter involved in growth and in alteration (H. 1042» 3), whereas vAy
tomky, at any rate, can exist without tAn yervyryn (1042) 4, 10444, ©.
1050” 17, A. 1069» 25). So also can the matter involved in alteration
(®. 1050 17). It is further stated that vAy tomy implies none of the
others (H. 1044» 7, @. 1050 21, Phys. 260% 28), Further, alteration
presupposes local movement (260 4), and growth presupposes altera-
tion (260% 29)—and therefore local movement (H. 1042) 4n.).
Cat. 14, which asserts the independence of the different kinds of
change, is probably not by Aristotle.
We thusget a.scaleof matters, each of which implies all that precede it:
(1) vAn vonry,
(2) try aicOnrn,
(a) kwyry (tomy),
(4) dAAowT 7H,
(c) adgyri cat bOiry,
(2) yevvynth kal pOaprn, which is tAy pdduora Kal Kupiws (De
Gen. et Corr. 320° 2).
II. } év Tots aicOntots bmdpxouca ph 7 aic@y7d. For Aristotle’s view
of the mode of existence of ra palnuarixd cf. M. 2, 3:
16. dt. odx dds, ‘ that neither can be said without qualification to
be prior’.
17. {Gov % Eppuxov should be read, with the best manuscripts. ‘If
(not only the concrete whole, but) even the soul may be said to be the
animal or (to put it more widely so as to include plants) the living
thing.’
19-23. Aristotle’s answer to the question of priority is as follows:
(1) Some wholes are posterior to some parts ; viz., the particular or
materiate right angle (whether its matter be sensible or intelligible) is
posterior (@) to the elements in the definition, and (4) to the parts of
a particular right angle (whether sensible or intelligible).
But (2) the immateriate right angle, while (a) posterior to the parts
of the definition, is (4) prior to the parts of the particular right angle.
According to this interpretation trav év ro Adyw Kai Tivds dpOjs
answers to twos in]. 19, and kal yap... tats Ka? éxaora answers to
tt. I take xat twos dpO7s as = kal trav twos 6pOjs. But this is very
doubtful Greek, and 7éy should perhaps be inserted.
ZO. 10569 1 1=2 3 201
pera THs Uys, 4} xadxq 6pOy isa perceptible right angle with per-
ceptible matter (cf. ll. 4, 10) ; 4 év tats ypappats tals kal éxaora is an
intelligible right angle with intelligible matter (cf. ll. 3, 11).
Which parts are parts of the form, which of the concrete
whole ? (ch. 11).
10362 26. Which parts are parts of the form, which only of the
concrete thing? Until we know this we cannot define anything, for
definition is of the form.
ll. 3, 11).
Which parts are parts of the form, which of the concrete
whole ? (ch. 11).
10362 26. Which parts are parts of the form, which only of the
concrete thing? Until we know this we cannot define anything, for
definition is of the form.
31. When the form supervenes on specifically different materials
(e. g. the circle on bronze, stone, wood), the materials are evidently no
part of the form; but when this is not so, it is hard to eliminate the
matter in thought.
> 3. E. g. the form of man is always found in flesh, bone, &c.; are
these, then, parts of the form, or parts of the matter but difficult to
eliminate because the form never supervenes on other materials?
7. Some have suggested that lines are to the circle as flesh to man;
they reduce all mathematical objects to numbers and say the definition
of the line is the definition of ‘two’.
13. Some Platonists say two is the line itself; others say it is the
Form of the line, holding that, while two is the same as its Form, the
line is not the same as its Form.
17. It would follow that (1) there is one Form of many things which
evidently have different forms; (2) at this rate there may be one
supreme Form, the others not being Forms at all; but thus all things
will be one.
21. We have stated the difficulty about definitions, and its reason.
It follows that it is a mistake thus to eliminate matter; some things
are essentially ‘this form in this matter’ or ‘ these things in this state’.
24. The comparison of ‘animal’ to ‘circle’ used by Socrates the
younger is misleading; it implies that man can exist without his parts
as the circle can without bronze; but the animal is a sensible object
and cannot be defined apart from movement, i. e. apart from its parts,
and these in a certain state; for it is only the hand which can do its
work, i.e. which is alive, that is a part of a man.
32. Why is not the definition of the semicircles included in that of
the circle? Not because they are sensible objects, for they are not.
But in truth some non-sensible things have matter; every individual
thing has matter, intelligible if not sensible. The semicircles are not
parts of the universal circle, though they are of particular circles.
202 COMMENTARY
10372 5. Soul is the primary substance; the body is matter; man
is the unity of the two taken universally. Socrates may perhaps be
identified either with his soul or with the concrete unity; but if only
with the latter, the particular (Socrates) answers to the universal (man).
10. Whether there is another matter apart from the matter of such
substances, and another substance, must be considered later. It is with
a view to this that we are examining sensible substances, which belong
in a sense rather to physics, since physics must study the substance as
defined, even more than it studies matter.
It is with
a view to this that we are examining sensible substances, which belong
in a sense rather to physics, since physics must study the substance as
defined, even more than it studies matter.
17. How the elements in the definition are parts of it, and what
constitutes the unity of definition, must be examined later. The thing
evidently is one, but what makes it so?
21. We have stated generally (1) what essence is and in what sense
it is self-subsistent, (2) why the definition of some things contains the
parts of the things while that of others does not,
24. (3) that the material parts are not present in the definition (for
they are not parts of the substance as defined but of the concrete
substance, which in its union with matter cannot be defined but can
only be defined according to its primary substance, the indwelling
form, e. g. hollowness as opposed to snubness); but in the concrete
substance (e.g. the snub nose) there is matter ;
33. (4) that primary substances (i.e. those which do not imply the
presence of something in something else which is its substratum),
e. g. crookedness, are the same_as their essence, while concrete things
involving matter, and unities of substance with an accident, e. g. Socrates
+ musical, are not the same as their essences.
1036? g. adhedeiv todtoy, cf. ddaipety tiv BAny, |. 23.
8. dwopodct twes. Pythagoreans, says Alexander; and Aristotle’s
expression dvdyova1 avra «is Tovs apibpovs (1. 12) (coupled with the
distinction between these thinkers and the Platonists, ]. 13) shows that
he is right. Cf. Scholia on Euclid, p. 78. 19 Heiberg, of d IIv@ayé-
pelou TO mev oneiov avdXoyov éhapBavov povdd., dvad« de THY ypappav.
The representation of the point by 1, of the line by 2, of the triangle
by 3, and of the tetrahedron by 4, goes back to Philolaus ( Zheol. Ar.
p. 62. 17-22). Alexander’s note (512. 20—513. 3) preserves some
information about the Pythagorean theory which he probably derived
from Aristotle’s lost work Ox the Pythagoreans. The number 2 was,
according to them, 76 mp@rov duacrarov, the first product of the di- |
remption of the unit, and, quantity being no part of the essence of the
line but the matter in which it is embodied, the line should be defined
not as roadv ed’ ev diacrardv, quantity dirempted in one dimension,
but as 70 mpétov duacrartov.
Zeit. TOCOY 3532 203
13-17. It seems clear that 74 eiSos THs ypappyis is opposed not (as
Alexander, Asclepius, and Bz. take it) to r#v dvdda but to abroypaypyy,
and that éyva ev ydp, &c., explains the position of those who said that 2
is the form of the line but not the ‘line itself’, The distinction between
avToypayyn and 76 2 f. ve in any case must be wrong.
Christ is perhaps right in reading a comma after awA@s. womep..-
éxaotov then means ‘ the individual corresponding to the universal ’.
ve in any case must be wrong.
Christ is perhaps right in reading a comma after awA@s. womep..-
éxaotov then means ‘ the individual corresponding to the universal ’.
10-20. Jaeger regards this (Avis/, 206 n.) as a section added later by
Aristotle, when he began to view the discussion of sensible substance
. in Bk. Z as preliminary to the discussion of insensible substance in A.
Cf, 1029» 3-12 n.
II. tig GAN, i.e. a quasi-material principle (such as the great-and-
small) present in incorporal things. It seems impossible to supply
ovaia, as one is tempted to do, as the substantive understood with ts
aXAn-
12. okewréov Uotepov. ‘The reference is to Bks. MN.
13-14. TovTou yap... Svopife. For other indications that the
treatment of sensible substance is preliminary to the true business of
metaphysics cf. 102.9% 33, » 3-12.
16. 08 ydp pdvov wept THs UAns KtA. Cf. De An. i. 1.
17. Tis Kata Tov Né6yor, Sc. ovaias.
émt may be defended by a comparison with the passages referred to in
Bz. /ndex 268. 31-44, but Brandis’s conjecture éz is very likely right.
20. oxeTttéov Uortepoy, H. 6.
21-22. Ti... eipyrat answers to ch. 4, 22-33. 81 ti. . . UAy-to chs,
10, 11 (Il. 30-32 to ch. 5), 33. 61... 7 to ch. 6. This summary
contains no reference to chs. 7-9, and confirms the view that these
belong originally to a distinct treatise. Cf. 1032% 12 n.
Pee TO20" 354039) 6 205
27. peta pev yap THs UAns odk €or. Yet Aristotle has said (1036
» 29) that the definition of man must mention his material parts, Of
course a definition must not mention prime matter, since that is
aopirrov, i.e. nothing definite can be said about it; but in certain
cases the proximate matter must be mentioned.
ZI. dis yap év TovTous Smdpfer H fits. These words appear quite
irrelevant in this context, and seem to be due to a copyist who had
1030? 32 in his mind.
bs. The simplest emendation of ovdé is 068 et. ‘ Nor is a thing the
same as its essence if the thing be a compound of a subject with an
accidental attribute.’ Cf. 10318 19-28.
What constitutes the unity of a subject of definition P (ch. 12).
1037” 8. Let us discuss definition in so far as it has not been dis-
cussed in the Analytics. The question there stated is of use to.our
inquiries about substance, viz. the question why that, the account of
which is a definition, is one.
1g. Why is ‘two-footed animal’ one and not two? ‘Man’ and
‘white’ are two when the one does not belong to the other, one when
it does ;
18. but in ‘ two-footed animal’ one element does not share in the
other ; the genus does not share in the differentiae, else it would share
in contraries at the same time. Even if it does share in its differentiae,
the same difficulty occurs, since the differentiae of man are more than
one—possessed of feet, two-footed, wingless. Why are these one?
Not because they are present in one genus, for then a// the differentiae
that belong to a genus will form a unity.
Even if it does share in its differentiae,
the same difficulty occurs, since the differentiae of man are more than
one—possessed of feet, two-footed, wingless. Why are these one?
Not because they are present in one genus, for then a// the differentiae
that belong to a genus will form a unity.
24. But the elements in definition mus? be one, since substance, the
subject of definition, is a unity, a ‘ this’.
27. Let us examine, first, definition reached by division. There
is nothing in definition but the first genus (e.g. animal) and the
differentiae; the lower genera are the first genus + the differentiae
(e, g. two-footed animal).
33. The number of the elements of the definition makes no differ-
ence; let us reduce them to the genus and one differentia.
10388 5. Now (1) the genus does not exist apart from the species,
or, if it does, exists only as matter; therefore definition is the account
consisting of the differentiae.
g. But (2) we must at each stage divide by the differentia of the
previous differentia; we must divide ‘ possessed of feet’ into ‘ cloven-
footed ’ and ‘ whole-footed’, not into ‘ winged’ and ‘ wingless’,
206 COMMENTARY
15. We must proceed so till we come to the indivisible species.
There will then be as many kinds of foot, and of footed animals,
as there are differentiae. The last differentia will be the substance and
definition of the thing. ts
20. If we mention the earlier differentiae as well, we shall repeat
ourselves. ;
25. If, then, we take a differentia of a differentia, one differentia—
the last—will be the form; but if each differentia is accidental to
the previous one, there will be as many differentiae as there are steps
‘in the division, Definition, then, properly consists of the last differentia.
go. If we change the order of the definition, putting ‘two-footed ’
before ‘ possessed of feet’, the latter is evidently superfluous; but
there is no order in substance (therefore ‘ possessed of feet ’ must be
superfluous even when it stands first). So much for definition by the
method of division.
The unity of a definition, and of iis subject, according to Aristotle,
lies in the fact that the genus and the differentiae have no existence
apart from one another, nor have the successive differentiae. The
genus is merely the ‘ matter’ of the definition, and each differentia the
‘matter’ of the next. He accordingly condemns definitions in which
any of the differentiae are accidental to the genus or to one another.
The discussion is carried further in H. 6.
1037” 8. For the discussion of definition in the Analytics cf. An.
Post. ii. 3-10, 18.
Q. év éxetvors, Av. Post. 92° 29. The dzopia is there raised but not
answered.
II. 06 tov Aéyov Spiopdy elvat payev. The distinction between Adyos
and épucpos has been drawn in 1030? r4.
6.
1037” 8. For the discussion of definition in the Analytics cf. An.
Post. ii. 3-10, 18.
Q. év éxetvors, Av. Post. 92° 29. The dzopia is there raised but not
answered.
II. 06 tov Aéyov Spiopdy elvat payev. The distinction between Adyos
and épucpos has been drawn in 1030? r4.
14-21. The obvious intention of this argument is (1) to show how
man and white form a unity, when they do so (Il. 14-18) and (2) to
point out that genus and differentia cannot form a unity in this way
(il. 18-21). Bz. argues that the mode of unity referred to in the first
section (kara mdéGos) is not the same as that referred to in the second
(xara peOcéw). He thinks therefore that Aristotle is arguing that
genus and differentia are not one ecther xara maOos or xara wéOcéw, and
that it is merely by carelessness that he frames the sentence in a way
which suggests that these modes are the same. But in 1030813
peroxy is used in this connexion as synonymous with rd@os. If weréxew
be so used here, the argument can have its natural meaning. In
14-18 Aristotle describes a unity xara peroynv Kal rdOos, and in 18-21
he shows that the definition is not a unity of that sort. It is true that
in the Zopzcs (1214 11 and elsewhere) 76 peréxew is defined differently,
but that account of it does not seem to be in Aris‘otle’s mind here ; he
is using perexyew in the Platonic sense alluded to in H. 1045° 14-20,
by—9. The argument of !]. 14-21 may be put thus, A unity xara
Z. 12. 10378 — 1038? 35 207
pebeEw is one which may exist between A and B and between A and
not B, but not between both at once ; but the relation of genus A to
differentia B is one which A has at once to B and to not-B. Therefore
genus and differentia do not form a unity xara péOeéw.
QI. et S€ Kat petexer. ‘Even if the genus could partake of the
differentia, this would not explain how a genus + several differentiae
form a unity.’
24. otTw pev yap ...év, ‘Forat that ratea genus and a// its differ-
entiae would form a unity.’
27-29. Aristotle says the question must first be considered with re-
gard to definitions by division (cf. 10384 34), but he never gets to any
other kind. The other kind is that é« rév évurapxdvrwv (B. 998?
13, H. 1043? 20).
10384 5-9. Since the genus does not exist apart from the species
or exists only as their matter, it offers no obstacle to the unity of
the definition, and accordingly the definition may be considered as if
it consisted only of differentiae. This is the first step in the explana-
tion of the unity of the definition. The next step is to show that the
differentiae in a definition may be reduced to one.
5. Ta ds yevous eidn, cf. A. got 31 n.
7. TA €idn Kal Ta oToLxeia, ‘the species, i.e. the letters’,
Q-10. TH... Svadopd, Prof. Joachim’s emendation of ry... da-
opay, seems to be required by the sense.
The next step is to show that the
differentiae in a definition may be reduced to one.
5. Ta ds yevous eidn, cf. A. got 31 n.
7. TA €idn Kal Ta oToLxeia, ‘the species, i.e. the letters’,
Q-10. TH... Svadopd, Prof. Joachim’s emendation of ry... da-
opay, seems to be required by the sense.
14. GAN’ 7 KTH., ‘(and in general we can divide “animal with feet” into
nothing) except ‘“ with divided feet ” and ‘‘with undivided feet” ’. ddN’
% in effect = ‘but only’. Cf. 1036> 31, I. roo5@12, A.A. 563» 22,
580% 20, Pol. 125721. The idiom is explained by Cook Wilson in
Class. Quart. tii. 121-124.
17-18. tote & . . . Svadopats, i.e. there will be as many infimae
species of foot or of animal with feet as there are ultimate differentiae.
19. 7 TeAcuTata Siapopa 7 otcia tod mpdypatos €oTat, since it will
presuppose all the previous differentiae and finally the genus. From
another point of view Aristotle can say (Zop. 139% 29, 142° 27, 143% 18)
that the genus is the element in, the definition most expressive of the
essence ; it is so because all the other elements presuppose it.
30. Kard ye Td dpOdv, i.e. according to the method in which each
differentia is a differentia of the previous one.
33. Tdéis 8 obk eorw ev TH otcia, sc. and therefore what is seen by a
perdraéis to be superfluous must have been superfluous before.
35. Thy mpérnv, ‘at the first attempt’, cf. 1037%27n. For the
idiom (in which some such word as oddv was originally understood)
cf, Ar. Zhesm. 662, Dem. O2. iii. 2, Hdt. iii. 134, i. 153 (the last
passage has rv mpdrny eivor). Pol. 12865 is not a parallel, for
adeiobw tyv mpornv seems to mean ddeicbw thy rpeTyv povapxtav
€mLoKOTrELV.
208 COMMENTARY
No UNIVERSAL IS SUBSTANCE; NO SUBSTANCE CONSISTS OF
SUBSTANCES (chs. 13-16).
The universal ts not substance (ch. 13).
1038” 1 (B) (cf. 1028>33). We have discussed two things that are
held to be substance—the essence, and the substratum (which we
showed to ‘underlie’ in two ways, as the ‘ this’ underlies the accidents,
and as the matter underlies the actuality).
6. We now proceed to discuss the universal, which some think to be
the truest cause. But it seems that no universal can be a substance,
for :
g. (1) If it be suggested that the universal is the substance of
a thing, we answer: (a) The substance of a thing is that which is
peculiar to it, but the universal is common to many. It must be the
substance of all or of none. But it cannot be the substance of all;
and if it be the substance of one, this one will de the others, for things
whose substance or essence is one are one.
15. (4) It is that which is not predicated of a subject that is
substance, but the universal zs predicated of a subject.
16. (2) If it be suggested that the universal is not substance in the
sense of essence, but is included in the essence, e. g. ‘animal’ in man,
then (a) evidently it is definable (and so there will be an infinite
regress).
16. (2) If it be suggested that the universal is not substance in the
sense of essence, but is included in the essence, e. g. ‘animal’ in man,
then (a) evidently it is definable (and so there will be an infinite
regress).
19. But (4) even if not all elements in substance are definable, the
universal will be the substance of something ; as ‘man’ is the sub-
stance of the manin whom it is present, ‘ animal’ will be the substance
of that in which it is present and to which it is confined. (Thus
suggestion (2) turns into (1).)
23. Further, (c) a ‘this’ or substance, if it is composite, must con-
sist not of qualities but of substances. Otherwise non-substance will
be prior to substance ; but this is impossible; for affections are not
prior to substance in definition, in time, or in generation, else they
would be capable of existing apart.
2g. Further, (@) in Socrates a substance (animal) will be present as
an element, and will therefore be the substance of two things (the
class of animals and Socrates).
30. (e) In general, if infimae species are substances, none of the
elements in their definition is the substance of anything or can exist
apart from its particular instances or in anything else.
34. (3) No common predicate indicates a ‘this’, but only a ‘such’,
Otherwise we get the ‘third man’ and other difficulties.
Zats. 1933 2~7 209
1039° 3. (4) A substance cannot consist of other substances existing
actually ; for what is actually two is not actually one (e. g. a line which
is double another consists only potentially of two halves, for their
actualization separates them).
g. Democritus puts our point well when he says that one cannot be
produced out of two nor vice versa; he refers to atoms, which he
regards as the only substances. Similarly, if number is, as some say,
a synthesis of units, the number two is not one, or else contains
no units actually.
14. Our result involves a difficulty. If no substance can consist of
universals (because-they indicate a ‘such’, not a ‘this’), nor of
substances actually existing, all substance will be uncompounded and
therefore indefinable. ‘
1g. But it is universally agreed that substance is the only or the
chief object of definition. Either, then, all things are indefinable
or they are definable in one sense though not in another. Our
meaning will appear more clearly later.
‘
1g. But it is universally agreed that substance is the only or the
chief object of definition. Either, then, all things are indefinable
or they are definable in one sense though not in another. Our
meaning will appear more clearly later.
Chs. 13-16 form a separate section of the inquiry into substance,
the main upshot of which is summed up in 10412 3-5: ‘no universal
is substance, and no substance contains substances as its parts’. The
section begins (ch. 13) by discussing and rejecting the claim of the
third claimant to the title of substance—the universal, and implicitly
also that of the fourth claimant—the genus. From this follows
(ch. 14) the rejection of the claim of the Ideas to be substance. Further
it is argued (ch. 15) that the individual is indefinable. This is argued
partly on the ground that the individual is subject to destruction and
change ; but the connecting link with ch. 13 lies in the other argument,
that since the universal is never a substance, never a ‘this’, always a
‘such’ (13. 10392 15, 16), definition, which is an enumeration of
universal marks, can never adequately express the nature of an
individual. Next a corollary is inferred from the principle which was
made the basis of one of the proofs in ch. 13 (1039 3, 16), viz. that sub-
stance cannot be composed of actual substances; it is argued that the
material parts of substances are not actually substances (16. 1040 5—
16). And finally a further attack is made on the Platonic tendency to
identify substance with the universal (1040 16—1041° 5).
1038" 2, 3. This is a reminiscence of 1028) 34; genus, however, is
now omitted (as coming under the universal), and 76 ék rovtwv, the
concrete individual, is added.
4. mept rod ti Hv etvor, chs. 4-6, 10-12; Kal Tod droKerpevou, ch. 3.
5. ott SixGs bmdxertat, cf. 10297 2 n.
7. trow, the Platonists.
2678-2 P
210 COMMENTARY
10. I have adopted here the reading which sense and idiom seem to
require ; it accounts well for the various readings found in the manu-
scripts and the commentators.
13-15. The argument is not clear but may be interpreted as fol-
lows : ‘ What will the universal be substance of? Either of all its
particulars or of none (for there is no-reason why it should be sub-
stance of one any more than of the others) ; but it cannot be substance
of all (since, as we have just seen, 1. 10, the substance of a thing
is something peculiar to it. It follows, then, that it is the substance of
none of its particulars). Ifwe try to avoid this conclusion and treat it
as the substance of one of them, then (since (the universal will be no
less the substance of its other particulars, and) things that have the
same substance are identical) this one will de the others; which
is absurd,’ ;
Ifwe try to avoid this conclusion and treat it
as the substance of one of them, then (since (the universal will be no
less the substance of its other particulars, and) things that have the
same substance are identical) this one will de the others; which
is absurd,’ ;
18-23. In answer to the suggestion now put forward, that the
universal is not the substance of things in the sense of essence, but is
a substance because it is an element present in their essence, Aristotle
replies that the universal can be defined, and seems to have meant to
add that in that case it will itself contain a generic or universal element,
and so substance will be contained in substance, ad zufinifum. But, he
observes, we need not make this assumption, that everything that is part
of the substance of something can be defined. Quite apart from this
assumption, the universal will be the substance of something, as ‘man’
is of the man in whom it is present; so that the new view that the
universal is a substance present 7m the essence of its particulars turns
into the old one which has already (9-16) been refuted, that the
universal zs essence. For the universal, e. g. animal, will be the sub-
stance, not indeed of man but of that in which it is present as some-
thing peculiar to it; i.e. of the class including all animals. This
interpretation enables us to treat ll. 19-23, 23-29, 29-30 as giving
three distinct arguments (as éru in ll. 23, 29 shows that they do), not
(as Bz. does) as giving parts of one argument.
22, Bz.’s suspicions of otaia in this line are amply confirmed by its
absence in A> and in Asc.c. The vulgate reading is due to the
conflation of alternative readings, ovata éxe‘vov and éxeivov ovata.
23-29. The argument seems to be as follows: Universals having
been -shown not to be substances (Il. gQ—16), they must not be regarded
as constitutive elements of substance (as the view under consideration
regards them, 16-18), since then non-substance would be prior to
substance.
27-28. olte byw yap ore xpovw ore yevéoet .. . mpdtepa. Aristotle
nowhere else distinguishes between xpdvw mpdrepov and yevéce mpo-
tepov, nor is any possible distinction apparent. Prof. A. R. Lord has
suggested yvwoe. for yevéoe, and this derives some support from
1028 32. But (1) the Greek commentaries as well as the manu-
scripts read yevéoe, and (2) xpévm would not be likely to be put
between Adyw and yvwoe, which are at least very near one another in
sense (in @. 104917 they seem to be identified), It is better there-
Z. 13. 1038> 10 — 1039% 22 211
fore to keep yevéoe and to suppose that it is added as a synonym of
xpove.
29. The variety of readings here seems to be due to Alexander’s
7 Ywxpdre odcia dvr evurrdpser ovoia, in which ovota dvr is no doubt
added to bring out the point. ‘In Socrates, himself a substance, there
will be present as an element a substance (sc. animal), which will
therefore be the substance of two things (sc. of the class of animals and
also of Socrates).’
‘In Socrates, himself a substance, there
will be present as an element a substance (sc. animal), which will
therefore be the substance of two things (sc. of the class of animals and
also of Socrates).’
30. 6 dvOpwros, i.e. the individual man, Alexander thinks. But as
Bz. observes, we should in that case expect something like 6 cis
avOpwros ; and we should expect in 1. 33 twa dvOpwrov rapa Tovs Twas.
It seems therefore that Aristotle means the infima species, which
according to one of his lines of thought he regards as substance;
cf. P. A. 644% 23. It is the substantiality not of man but of animal
that he has been attacking in ll. 16-30; the infima species is at any
rate more substantial than the genus.
32. év @AXw, not, as Alexander interprets it, ‘in the Idea’, The
words are quite general.
33. Ta tTwd, ‘the particular species of animal’.
34. &k te... toUTwy is answered by xal dru (‘ and because’).
1039%2. 6 tpitos avOpwros, cf. A. g90? 17 n.
6. 4 Simdacta, sc. ypaypyy, says Asc., doubtless rightly. We may
cf. 7 eveta, » qrodiaia, and A. rorg* 8 n., ©. 10488 33n.
8. The editions have a comma or colon after évuTapyougay, but Kai
kara ToUTOV TOY Tpdrov appears to go closely with évurapyovady and to
mean kal évreAexela evurapyovody. Possibly we should print a colon
after tpdrov and read 6 with T.
1O-II. ta yap... movet, ‘for he identifies substances with the
atoms’, from whose atomic nature it follows that one atom cannot con-
tain two atoms. Cf. De Caelo 30326, De Gen. et Corr. 325% 35.
12, 6 dpiOpds odvOeors povddwy. This is practically the same as the
earliest recorded Greek definition of number, povédwv-cvornua, which
Thales is said to have borrowed from the Egyptians (lambl. 2% Necom.
Ar. Introd. p. 10. 8). Cf. A. 10208 13 n.
15-16, pyre... onpatver, cf. 1038 23-29 ; 16-17. pyr é§ odcidv
.. . otvGetoy, cf. 1039% 3-11.
1g. éhexOy mada, 10319 12.
22. tav totepov, Z. 15, H. 6. Aristotle is not very successful in
solving the problem.
- The Ideas are not substance (ch. 14).
1039" 24. Observe the consequences for those who say the Ideas
are separately existing substances, and at the same time resolve the
species into genus and differentiae. ‘Animal’ will be either the same
BQ
202 COMMENTARY
or different in ‘man’ and in ‘ horse ’—i.e. numerically ; in definition
it is clearly the same. If man is a separate ‘this’, animal must
be so too.
33. (1) If ‘animal’ be supposed the same in horse and in man,
(a) how can it be the same in things that exist.apart? Will it not be
divided from itself?
ba. Further, (2) if it shares in ‘ two-footed’ and in ‘many-footed’,
it, though one individual, will have contrary attributes; if it does not,
in what sense can it de two-footed? It is absurd to say ‘ by com-
position ’, i.e. by contact or by mixture.
Will it not be
divided from itself?
ba. Further, (2) if it shares in ‘ two-footed’ and in ‘many-footed’,
it, though one individual, will have contrary attributes; if it does not,
in what sense can it de two-footed? It is absurd to say ‘ by com-
position ’, i.e. by contact or by mixture.
7. (2) If ‘animal’ is different in each species, (a) there will be
practically an infinity of things whose substance is ‘animal’. Further,
(2) each of several things will be ‘animal itself’. For (i) the ‘ animal ’
in each species will be the swds/ance of that species, for it is that and
not anything else that each species is called after ; otherwise that other
would be the genus of man ; and (ii) all the elements in the essence of
man will be /deas ; and therefore, since what is the substance of one
thing cannot be the Idea of another, the ‘animal’ in each species
of animal will be ‘animal itself’.
14. Further, (c) from what will the ‘animal’ in each species be
derived? how can it be derived from ‘animal itself’? How can
the ‘animal’, whose essence is just to be animal, exist apart from
‘animal itself’?
16. (3) These and even greater difficulties arise if we consider the
relation of Ideas to senszble things. Evidently, then, there are not
Forms of sensible things such as some suppose.
1039? 26- 19 is very similar to P]. Parm. 131 a—k, and in particular
the language in 1 recalls that in 131 B ev dpa dv Kal tabrov év roAXors
Kal xwpls ovow ddov dpa évérrat, Kat otTws aiTd adTrod ywpls av ely.
Siebeck thinks this confirms his notion that the Parmenides is
directed against the JZe/aphysics, but more probably Aristotle is pressing
the difficulties raised by Parmenides in the dialogue,
33. dote kai td LGov might easily have been dispensed with, but
is read by Asclepius as well as by the manuscripts, and need not be
excised as Christ proposed.
ei péev obv 75 adtd. The other alternative comes in ? 7.
by-2. kal 8a ti ...todro; ‘If the Idea is present in separate
things, does not this amount to separating it from itself?’
7-8. obxoiv ... &vOpwros. The argument, as ér in |. 9 indicates,
is meant to be complete in itself. The conclusion dreipa as ézos
eimely éorar dv 7 ovoia EGov is absurd, because things whose sub-
stance is one are one (1038? 14).
Z. 14.°1039% 26 — 1039 17 213
Gmeipa Ws Eos eimety is an exaggeration, since for Aristotle the
number of species in a genus is limited.
The conclusion dreipa as ézos
eimely éorar dv 7 ovoia EGov is absurd, because things whose sub-
stance is one are one (1038? 14).
Z. 14.°1039% 26 — 1039 17 213
Gmeipa Ws Eos eimety is an exaggeration, since for Aristotle the
number of species in a genus is limited.
9-14. The argument is very obscure, but may perhaps be expanded
as follows: ‘ Further, each of several things will be the Idea of animal.
For (i) the “‘ animal” in each species of animal will be the substance of
that species ; for it is after that and nothing else that the species
is called (i.e. when we want to say what e.g. man essentially is,
we say he is an animal, not an anything else); else that other would
be the generic element in man. And (ii) each element in man, and
therefore among others the element ‘‘ animal ”, is on the Platonic theory
an Idea, We may infer that the “animal” in man is not the Zdea of
one thing and the swdstance of another. Therefore the “ animal” in
the various species of animal, which as we have seen is the suds/ance of
each of these species, will be the dea of animal.’
For the force of kar’ dAAo déyerau 1. 10 cf. A. 987" 9.
14-16. ém. ... {dov; ‘Further, from what does this “‘ animal ” in
each species spring? How is it derived from animal-itself? Or, if not
derived from it, how can this ‘‘ animal”, whose very substance is
animality, exist apart from animal-itself (the Idea of animal) ?’
15. Tas é§ adtod Laou; seems to be correctly explained by Alexander,
TOS €k TOD TOLOVTOV adiToLwou oral TO év TG adToavOpaTw airoLdov ;
The reading and punctuation suggested by Bz. and given in the
text is a great improvement on the traditional form ro fdov 6 ovicia,
TovTo avTo wap avro, and derives some support from Al. 529. 17.
16, 17. The difficulties raised in *26->16 have referred to the
relation of genus to species; Aristotle now says that even greater
difficulties for the ideal theory attend the relation of species to sensible
individuals.
Individuals, and therefore Ideas, are indefinable (ch. 15).
1039” 20. Concrete things are generable and therefore destructible ;
forms are never in course of being destroyed any more than of being
created; they are or are not, without generation or destruction.
27. This is why (1) particular sensible substances are not subjects
of definition or of demonstration, viz. because they have matter capable
of being and of not being. If knowledge can never become ignorance,
there cannot be demonstration or definition of the contingent, but only
opinion,
1040*2. For perishable things are no longer known when they
have passed out of our perception, and, though the formula in the soul
remains the same, there is then no longer definition or demonstration ;
thus it is always possible to overthrow a definition of a particular, for
it cannot really be defined.
214 COMMENTARY
214 COMMENTARY
8. (2) Therefore an Idea, also, cannot be defined, for (a) it is said
to be a separate particular. Its definition would have to consist of
words, but new-coined words would not be understood, while old ones
are common to all things of a class,
14. If it be said that, while the marks used in the definition
separately belong to many things, together they may belong only
to one, we answer (i) that they will also belong to both elements in the
definition, e. g. ‘two-footed animal’ to ‘ animal ’ and to ‘ the two-footed ’”
(where the elements are eternal, this mws¢ be so, since they are prior to
the compound and, further, separately existent, because, if ‘man’ is to
exist apart from its particulars, so must ‘animal’, and if ‘animal’,
then also ‘ the two-footed’) ; further, (ii) that the elements are prior to
the whole, and therefore are not removed when the whole is removed.
22. (2) Again, if the elements of Ideas are Ideas (as they must be,
elements being simpler than the compounds), the elements, e.g.
‘animal’ and ‘two-footed’, will be predicable of many subjects.
Otherwise how could they be recognized? All Ideas are thought to
be shared in by a plurality of subjects.
27. In the case of eternal things, especially if they are unique, like
the sun, people do not realize the impossibility of definition. Definition
may err not only by adding irrelevant attributes such as ‘ going round
the earth’ (the sun would still be a sun if it did not do this, for ‘sun’
means a certain substance) ;
83. but also by naming attributes which can belong to another
subject. Such a definition will be common, while the sun was supposed
to be an individual—Why does not some Platonist produce the
definition of an Idea? The truth of our remarks would become
apparent.
Bz. thinks that as in chs. 13, 14 Aristotle has proved that universals
are not substances, he now proves that individuals are not substances.
But (1) that is not Aristotle’s view, and (2) Bz. can arrive at it only by
piecing together the conclusion of this chapter, that individuals are in-
definable, with the conclusion of ch. 4, that substances are the subject
of definition. If Aristotle had meant his readers to draw Bz.’s con-
clusion, he could hardly have failed to call attention to it.
The interest of the chapter is simply in the problem of definition.
Aristotle has asked in ch. 13 (1039 14-22) whether anything can be
defined, and begins his answer here by pointing out that at any rate
individuals cannot.
While chs. ro-14 have continued the line of thought of chs. 1-6
and contained no reference to chs, 7-9, ch. 15 has such a reference
(1039? 26). But it also continues the line of thought of chs, 1-6, 10-
Z. 15 1039 22 — 10407 15 215
14, and in particular the problem of the possibility of definition, which
was raised in ch. 13.
1-6
and contained no reference to chs, 7-9, ch. 15 has such a reference
(1039? 26). But it also continues the line of thought of chs, 1-6, 10-
Z. 15 1039 22 — 10407 15 215
14, and in particular the problem of the possibility of definition, which
was raised in ch. 13.
1039> 22. 6 dyos ddus, ‘the definition in its full extent’, not bound
up with any particular matter. Bz.’s suspicion of éAws seems unjusti-
fied; in the /zdex he quotes a phrase which is a good parallel,
TO 6& dd.aiperov drAws (De Gen. ef Corr. 326% 28). Cf. also 1029" 6,
1033) 26.
24. ottws date POeipecOar, ‘in the sense that it is ever in course of
being destroyed’. Cf. 1033> 5-6n., E. 10278 29n,
26, SéSetxrat, in ch. 8.
28. tav Kal” éxaota, cf. B. 999% 26n.
oUTe Gmrdderéis oti, ‘nor can there be demonstration adoué such
substances ’, i. e. demonstration of their attributes.
30-31. 815 P0apra ... atTav. Aristotle shows no knowledge here of
the distinction drawn in A. 1069? 30 between two kinds of sensible
substance, the eternal (the heavenly bodies) and the perishable.
7a Kal Exacta, cf. B. 999% 26 n.
ZI. Kal 6 dpiopds emrornporiKdy, sc. ‘and therefore tOv dvayxaiwy’.
1.040% 2-4. Gdnhd te yap... . dméAOn, cf. 1036 6.
6. Bz. interprets tav mpds Opoy as meaning guod ad definitionem
atlinet. Parallels to such a use of ra pds dpov may be found in
Top. 102» 27, 120? 13 (éo7 d€ Tatra oro.xela THY mpds Tovs dpovs), but
the genitive is very difficult. It seems better to suppose with Alexander
that the phrase means ray pds dpov twos tpaypatevonevwv. But
corruption may be suspected.
8. tov... Kal exacroy 7 idda, ‘the Idea is an individual’.
II, maow, ‘to all the members of the class denoted by the name’.
14-15. ci 8€ Tis... Umdpxew. The definition of an Idea might be
defended against the attack just made, on the ground that, though
each of the marks separately belongs to more than one subject, taken
together they belong only to the Idea in question. Aristotle proceeds
in 1. 15 to object to this defence, but, as Bz. observes, he himself gives
a similar account of definition in An. Post. 96°33 éxacrov pev ei
mAciov brdpéer, Gravta S& pH ert wAdov. The objection, then, must
derive its force, if it has any, from the gecu/zar nature of the Ideas—from
the fact that they are individuals and exist separately (I. 9).
observes, he himself gives
a similar account of definition in An. Post. 96°33 éxacrov pev ei
mAciov brdpéer, Gravta S& pH ert wAdov. The objection, then, must
derive its force, if it has any, from the gecu/zar nature of the Ideas—from
the fact that they are individuals and exist separately (I. 9).
The first objection is stated in I]. 15-17. ‘ Two-footed animal’ will
belong both to ‘animal’ and to ‘ the two-footed’. Bz. thinks that dzdp-
xew is here used (by an illegitimate change of meaning) not in the sense
of ‘ be predicable of’, which it has in ], 15, but in the sense of ‘ be con-
tained in the extension of’; but for this sense he offers no parallel.
imdpxew has, in fact, its ordinary sense. Aristotle means that ‘two-
footed animal’ is predicable (1) of ‘animal’ (not universally, but
in certain cases), and (2) of ‘ the two-footed’ (universally, since two-
footedness belongs only to animals, as a differentia should belong only
to its genus, Zop. 143% 30). This objection would not apply to an
ordinary definition, since that does not imply the existence of genus and
differentia apart from the species. But according to the Platonists
216 COMMENTARY
‘animal’, ‘the two-footed ’, and ‘man’ are separately existing Ideas ;
and ‘two-footed animal’ is predicable of all three, and therefore
not a proper definition of man.
The difference between the Idea and the ordinary subject of defini-
tion is brought out in the next words (17-21). ‘ This applicability of
the proposed definition to more subjects than “that for which it is pro-
posed mus/ exist in the case of the eternal entities (the Ideas), since the
genus and the differentia are prior to and parts of the compound, the
species, and since further they exist separately. They must exist
separately, if the species does; for the genus is described as existing
apart from the species, and if the genus does so the differentia must do
so too.’
18. mpdtepd y’ ova Kal pépy is a loose accusative absolute, for which
cf. Kiihner ii. 2. § 487. 3».
21. Bz. objects to et’ (which purports to introduce a new argument)
on the ground that the priority of genus and differentia to species has
already been used in the previous argument (]. 18). But Alexander
affords no support to Bz.’s suggestion dvadopa éorar, dru, except that he
seems not to have read «79. Bz.’s objection is removed if we treat kat
rovTo . .. diaopd (17-21) as parenthetical, and 27—
=:
Z. 15. 10407 18 — 1040? 3 207
18). But Alexander
affords no support to Bz.’s suggestion dvadopa éorar, dru, except that he
seems not to have read «79. Bz.’s objection is removed if we treat kat
rovTo . .. diaopd (17-21) as parenthetical, and 27—
=:
Z. 15. 10407 18 — 1040? 3 207
1040 7) is not present in their case. Again, 74 povaxad, things which
are the only instances of their kinds, are not specially impossible
to define, but the impossibility is specially hard to detect. Definitions
may be (1) unduly narrow (29~33) or (2) unduly wide (33-> 2).
(1) In the definition of A as BC, B or C may be irrelevant. If there
are several instances of A, probably there will be some in which B or
C is absent and the badness of the definition will be noticed. But
where there is one instance only, the badness may easily escape notice
(cf. 1036” 6). (2) If you define an individual A as BC, then if there
are like individuals the definition will apply to them also and will be
seen to be a bad definition of A. But if, like the sun, A is unique, and
there are no other things to which BC is applicable, you may easily not
realize that there mzght de other such things, and that you have defined
not ‘the sun’ but only ‘sun’.
Definition of the individual is inevitably liable to both the errors
here described. (1) You may be sure that certain attributes are not
essential, but since you do not know the whole history of the individual
you cannot be sure whether certain others are essential or not,
(2) No series of marks will exhaust the nature of the individual, since
every series of marks marks off not an individual but a kind. Thus
the individual is indefinable, and if Ideas are individuals, they are
indefinable.
27. domep otv elpyrat. Aristotle has not made the remark in ques-
tion before, but he has treated the impossibility of definition as less
obvious in the case of eternal entities, since he has given several argu-
ments to prove it (8-27) over and above the general arguments
against the definition of individuals (1039 27104087). Cf. esp.
1040717,
ZI. vuxtixpudés, apparently a coinage of Aristotle’s on the analogy
of Parmenides’ vuxripats pas for the moon (fr. 14).
32. 7% pavy. ded may very well be understood without being actually
inserted. Asc. has it in his interpretation, but there is no reason
to suppose that he read it.
by-2. @\N fv... Zwxpdtns. I.e. the sun though unique is as
much an individual-member of a class of suns as Cleon is a member
of the class of men.
2-3. émel 81d Ti. . . iS8€as; is tacked on loosely. ‘ If the definition of
the individual (and therefore of the Idea) is not open to these objec-
tions, why do the Platonists never produce a definition of an Idea?’
Two wrong views about substance (ch. 16).
1040” 5. (1) Most so-called substances are potentialities—the parts
of animals (which do not exist separately, and even when separated
218 : COMMENTARY
are merely matter) and the elements; they are not unities but merely
aggregates till they are fused into one.
16).
1040” 5. (1) Most so-called substances are potentialities—the parts
of animals (which do not exist separately, and even when separated
218 : COMMENTARY
are merely matter) and the elements; they are not unities but merely
aggregates till they are fused into one.
10. One might suppose that the parts of living things and the
corresponding parts of the soul are both, existing both actually and
potentially, because living things have sources of movement in their
joints so that some animals live when divided. Yet they exist only
potentially when they are united by nature—not by force or by
adhesion, which is a malformation.
16. (2) Since the meaning of ‘one’ answers to that of ‘ being ’, and
the substance of what is one is one, and things whose substance is one
are one, unity or being cannot be the substance of things, any more
than being an element or principle can be so; we have still to ask
what the principle is.
21. ‘Being’ and ‘unity* are more substantial than ‘ principle’
or ‘element’ or ‘cause’, but are not substance, because (@) they are
common, while substance belongs only to itself and to that which
has it. Further (4), one thing cannot be in many places at once,
while what is common can. No universal, then, exists separately
from particulars.
27. The believers in Forms are right in saying the Forms exist
apart if they are substances, but wrong in saying that the one in
many isa Form. Because they cannot say what the eternal substances
are that exist apart from sensible particulars, they make them the same
in kind as the perishable things which we do know, merely adding
‘itself ’,—‘ the horse itself’, &c.
34. But, even if we had never seen the stars, they would have been
eternal substances apart from the things we knew; and so, even if we
do not Know what eternal substances there are, yet there must be
some.
1041® 3. No universal, then, is a substance, and no substance is
compounded out of substances.
In this chapter Aristotle abandons his own fourfold list of the things
that might be considered to be substance (ch. 3 ad znit.), and returns
to criticize the popular views about substance expressed in ch. 2
according to which the parts of living things, and the four elements,
are among the things that have the most obvious claim to be
substances.
1040” 6, Surdpers eiot, are not actual substances but components
capable of contributing to the life of the whole body.
6-8. ‘For none of them is separately existent ; and when they are
separated from the living body, then too they are existent, all of them,
only as matter” The hand while it is in the body is not separately
Z. 16. 1040° 6-13 219
existent, and therefore not a substance but simply a material con-
stituent, isolable in thought, of a substance. And when removed from
the body, then too it is not a substance, with an activity of its own, but
a mere collection of épovomepy, skin, bone, and flesh. Cf. 1035 17,
G. A. 726 22. 3
And when removed from
the body, then too it is not a substance, with an activity of its own, but
a mere collection of épovomepy, skin, bone, and flesh. Cf. 1035 17,
G. A. 726 22. 3
8. Kat yf Kal Tp kat dnp. Alexander and Bz. take these words closely
with &s vAy, but a comparison with 1028 9, 10 shows that they are
co-ordinate with rd te pdpia tov Cawv. Bz. has to suppose that re is
answered by paAuora & (1. 10).
8-10. obey yap .. . €v, i.e. a part ofan animal body, e.g. a hand, is
unified into a genuine whole only by the form of the living body
to which it belongs—otherwise it is simply a collection of diverse
materials, cf. De Gen. ef Corr. 321» 31 di Kal reOvedros paddov av
ddgeev elvan ere cdpE Kal dorodv 7} xelp Kal Bpaxiwv.
Q. swpéds, which is much better attested than 6 dppos, is Aristotle’s
regular example of that which has not organic unity (1o41? ra,
H. 1044° 4, 104529, M. 1084) 22), while dppds does not seem to be
used in this way. The latter reading is no doubt due to rep6¥, but
both the plural airév and the usage of zpiv show that zpiv 7 Krd. goes
with oidey yap airav ev éotw, Not with otov cwpds. mérrew, a regular
Aristotelian term for maturing or working up (cf. Bz. Zndex 5902 61—
591% 1), is applicable both to the elements (cf. A. 989% 16) and to the
parts of the body.
II. mdpeyyus dpow ylyveoOoa. Alexander's interpretation pddiora
8¢ trodd Bor dy Tis TA TOV ewdywv pdpia, ... dpolws 8& Kal THs Yoxns,
mapeyyus Tod Kal évepyeia. peTa TOU OAOV ovTa ovoias aira A€yew Kal
duvdpet (535. 27), interprets wdpeyyvs in an impossible way. So does
Bz.’s ylyvecOan oxed0v dvta dudorépws Kat evredcxelg. kal duvaper (the
comma being omitted). mdpeyyvs does not mean cyxeddv. Like
ctveyyvs, it is used adjectivally rather than adverbially, and (where it
does not mean ‘near’ in place or time) means ‘closely related’
(Top. 167° 5, G.A. 76927, Pol. 127120). Probably the best
translation is ‘ above all one might suppose the parts of animate things
and the parts of the soul nearly related to them to turn out to be both,
i. e, existent both actually and potentially’. An alternative translation
is: ‘One might be specially tempted to suppose that the parts of the
animals come-to-be more or less on the same level of being (rdpeyyvs)
as the parts of the soul, thus possessing, both taken together, a being
which is actual as well as a being which is potential’.
12. dvra kal evrehexeta kal Suvdpet, i. e. existing actually, since they
can initiate movement by themselves, and potentially, since they
are absorbed in the life of the whole soul and the whole body.
12-13. T@ dpxas ... Kaprrats. For the ball and socket joint as the
bodily instrument of motion cf. De An. 433” 19-27, M. A. 698? 16-? 7.
e. existing actually, since they
can initiate movement by themselves, and potentially, since they
are absorbed in the life of the whole soul and the whole body.
12-13. T@ dpxas ... Kaprrats. For the ball and socket joint as the
bodily instrument of motion cf. De An. 433” 19-27, M. A. 698? 16-? 7.
1Z. 816 eva LGa Srarpovpeva Ch, i.e. some insects and many other
animals doa pa Cwrixd diav 6ff. The suspicion is unnecessary. ‘The
doctrine is that the cause of the inherence of a zé6os in a substratum
(e.g. of noise in clouds) or of a quality in certain materials (e. g. of the
shape characteristic of a house in bricks and timber) is always—to
state the matter abstractly (Aoyikés)—the ri jv etvax or definition of the
union of substratum and dos, or of materials and anaety. But in
some cases this definition expresses the final cause—e. g. a house is
defined as a shelter for living things and goods (H. 10437 16, 33);
other cases the definition expresses the efficient cause—e. g. thunder is
a noise in clouds due to, i. e. produced by, the quenching of fire (Az.
Post. 93 8, 94° 3). In other words the formal cause is not a distinct
cause over and above the final or efficient, but is either of those when
considered as forming the definition of the thing in question. Similarly
in An. Post. ii. 11 the formal cause is identified with the efficient
{94> 18-21) and even with the material (there treated as = the sum of
the necessary conditions of a conclusion) (94* 34).
31-32. TO pev TorodTov aitvoy, the efficient cause ; Odtepoy 8¢, the final.
It is when we are inquiring why has so-and-so come into being, or ceased
to be, that we look for the apx7 xwyoews, the origin of the movement
which brought the thing into being or destroyed it. On the other
hand we may ask not only for what purpose has so-and-so come into
being or ceased to be, but also for what purpose it exists.
It would be possible to take 76 pév rowtrov airy to refer to
the final and efficient causes, @arepov 8€¢ to the formal, but the Greek
does not so naturally suggest this.
83. The vulgate reading is wy KaraAAyAws. KaTdéAAnXos, karadAnAws
are not found in the genuine works of Aristotle, and when they occur
(in later Greek) they mean ‘ corresponding’, ‘ correspondingly’, which
does not suit the sense here. ev rots pa) Kar’ dAAjAwY Aeyopévors gives
the right sense, ‘where one term is not predicated of another’, For
224 COMMENTARY
kar é\AjAwv = ‘ one of another’, not ‘ of one another ’, cf. ia’ dAAnAa,
Cat. 1” 16,
by, The general line of\ thought in the chapter is as follows:
Substance is a cause (#9). Therefore, if we can find out what in
general is the cause of things, the answer to the question ‘ Why?’,
we shall have found what substance is. -Now 39—90%1, 90% 14-21. But in that workit is only the
definition of attributes that is reduced to the question ‘ Why do they
occur ?’, whereas here the definition of man seems to be similarly
reduced.
-Now 39—90%1, 90% 14-21. But in that workit is only the
definition of attributes that is reduced to the question ‘ Why do they
occur ?’, whereas here the definition of man seems to be similarly
reduced.
4. Set éxew, ‘one must know’. Cf. Bz. Zudex 305) 46.
5. Christ’s 81a ti 70 is a better emendation of dia ré than Bz.’s radi
dua ti, and seems to answer better to Alexander’s interpretation
(541. 31). Cf. @ ti éorw, |. 8.
Prof. Joachim thinks the manuscript reading may be retained and
translated ‘why the matter is there—what it exists for’; and suggests
alternatively 8:a 7¢ (rod¢).
5-7. ‘E.g. Why do these materials form a house? Because what
it was to be a house (the essence of house) is present in them.
Similarly this matter, or rather this matter having this form, is a man.’
It does not seem necessary to read di éxov with Bz. for todi éxov.
The form of man is réde év 7@8e (1030 18), and the body can there-
fore be said yew 7odé, to contain the form (cf. A. 1023* 11-13, 23-25).
7, 8. What Aristotle has been illustrating in lJ. 4-7 is not the cause
of the matter but the reason why such and such matter constitutes such
and such things. 70 airvov r#s VAns must therefore not be taken alone,
but with 6 ri éorw, ‘the cause whereby the matter is some definite
thing’. To get this result it is not necessary, with Christ, to regard
TovTO. . . eloos aS Spurious; it is enough to treat it as parenthetical.
Se ES Te nse
Te Seiy
44.1. Pe pe at
SH L.1i >
Z. 17. 1041 1-31 aL MARY
Q-10. pavepoy... torovTwy. Since ‘ Why?’ always means ‘ Why is
B A?’, we cannot ask the question ‘ Why A is’ if A is a pure form,
not a complex of form and matter ; such entities must be understood
in some other way, sc. by that intuition which is ‘like touching’. For
this cf. ®. 10512 17—10522 4 nn., De An. 430% 26, > 26-31.
10. €repos tpdmos tis Lythoews, ‘another method of inquiry than
what is usually understood by the term’.
11-27. In this sentence not even the clause beginning with éze/
is ever completed; the parenthesis 7 d¢ cvAAaBy xrA. is so long that
the original construction is quite forgotten.
17. For the description of the syllable as érepdv 1 apart from the
etters cf. Pl. Zheac/. 203 E.
19-25. ei Tolvuy ...auddaPis. ‘ Let us suppose that this principle
ofunion must be either an element or a complex of elements. If it is
the first, this leads to an infinite regress (ll. 20-22), and so too if it is
the second (Il. 22-25). Therefore it is neither.’
22. For ék orovxetou (singular) cf. H. 1043) 12.
"23. 4 exetvo atts eorar, ‘ or else (if it were composed of only one)
that one would be the thing itself’. For 7 = ef d¢ un cf. Z. NV. 1170?
17, ®, 1050 14 (?).
20-22), and so too if it is
the second (Il. 22-25). Therefore it is neither.’
22. For ék orovxetou (singular) cf. H. 1043) 12.
"23. 4 exetvo atts eorar, ‘ or else (if it were composed of only one)
that one would be the thing itself’. For 7 = ef d¢ un cf. Z. NV. 1170?
17, ®, 1050 14 (?).
29. doar odcia (cici), kata diow Kat pice. cuveotjxacr, For
Aristotle’s tendency to restrict sensible substance to natural as opposed
to artificial things cf. H. 1043%4, >21. On the other side ch A.
1070%5, The reason for the restriction is that art does not make new
substances but merely imposes new qualities, quantities, &c., on sub-
stances. The statue retains the substantial or essential nature of wood,
“house, &c. And gwa wooden it is a atural substance ; it is only gua
having such and such a shape that it is artificial, and in this respect it
is not a substance.
30. [kat] atrn if pvos. AP reads dm, EJT rox, both of which are
impossible. Probably 6m is an emblema due to Alexander’s para-
phrase davepov dru, and tir and kai are attempts to emend oz.
30-381. atty 7 pats... i oti ob aTorxelov GAN apxi, i.e. the pvaus
described not in A. 1014 27 but inib. 36, that which is not matter but
form, For the difference between orovxetov and dpxy cf. A. T, 3.
2578-2 wrens iG )
226 COMMENTARY
BOOK H
Sensible substances ; matter (ch. 1).
1042° 3. We proceed to sum up what-has~been said and to bring
our inquiry to its conclusion. We have said that (1) the causes of
substances are the object of our search.
6. (2) Some substances are generally recognized, i. e. the physical,
viz. the elements, plants and animals and their parts, the physical
universe and its parts; while certain thinkers treat the Forms and the
objects of mathematics as substances.
12. (3) Other substances are established by argument—the essence,
the substratum, the genus, the universal; with the two latter are con-
nected the Ideas.
17. (4) Since the essence is substance, we had to discuss definition
and therefore also what parts are parts of the substance, and whether
these are also parts of the definition.
21. (5) Neither the universal nor the genus is substance; the Ideas
and the objects of mathematics must be considered later.
24. We must now discuss the acknowledged substances, viz. those
that are sensible, all of which have matter. The substratum is substance,
and this is (1) in one sense the matter (which is potentially a ‘ this’),
(2) in another the definition or shape (which is a ‘this’ and is separ-
able in definition), (3) in another the union of these, which alone is
subject to generation and destruction and is separable in the full sense
(while only some of the substances in the sense of definable essences
are separable).
32. Of these three, even (1) master is substance, for in all change
there is something that underlies the change, whether it be change
of place, of size, of quality, or in respect of substance (generation and
destruction).
32. Of these three, even (1) master is substance, for in all change
there is something that underlies the change, whether it be change
of place, of size, of quality, or in respect of substance (generation and
destruction).
» 3. The last kind of change involves all the others, but either one
or two of the others do not involve it ; a thing need not have matter
for generation and destruction if it has the matter or potentiality for
local change.
The chapter opens with a summary of the contents of Book Z.
1042* 4-6 refers, roughly, to Z. 1,
” 6-12 ” ” ” 2,
4) LEHR Ok, ¥ » 3. 10282 33-36,
» 17; 18 ” ” ” 4-6, 12, 15,
” 18-21 » ”» ” Io, Il,
ee teeet pies i » 13, 16. 1040 16—1041° 5,
H. 1. 1042% 3 — 1042>7 224
It is noteworthy that the summary makes no reference to Z. 4-9,
which we have already seen reason to regard as not belonging to the
original plan of Z. The doctrine of those chapters is, however,
referred to below in I. 30.
1042° 3. cuddoyicaca. seems to have its original meaning of
‘reckoning up’. ‘ We must reckon up the results of what has been
said and compute the sum of them.’ Cf. £. V. 1101934 ovddoyt-
OTéov Kal TAa’THY THY Siaopay.
8. téd\da ta GwAA odpata, cf. A. rorzPr1, Z. ro2z8P11. What
simple bodies other than the four elements can Aristotle mean? The
answer is given by De Caelo 268» 27 deyw 8 ardG . . . ofoy wip Kal yhv
kal Ta TovTwy €ldn Kal TA ovyyevy TovTos. I.e. rédda is the various
species of fire, air, water, and earth (ra ovyyevq rovros = air and
water, cf. Meteor. 339% 28).
10. 6 odpavéds, ‘the physical universe’, as in Z. 1028) 12.
21. Christ is right in dispensing with the comma after ratra. ratra
= Ta THs ovotas pépy.
Christ’s emendation of ét to éor is unnecessary. For ér rodvuy
cf. A. 1071» 20,
23. Uotepov oxeTTéov, in MN.
28. dddws 8 6 Adyos Kal } popdy, cf. Z. 10297 2 n.
29. For the description of form as 1é8e tu cf. A. r017? 25 n.
BO. 06 yéveots pdvou kat plopd éott, cf. Z. 8,
Zl. at pev at 8 ot. The only form that is ywpiorov dAds is vods.
Cf. A. 7, 9, De An. 413” 24, 4295, 430% 22. Reason exists in God,
in the spirits of the spheres, and in man.
32-3. Aristotle’s classification of change into four kinds is partly
anticipated in Zheae¢. 181 D, where Plato distinguishes aAAotwois and
ops.
b 2-3. viv pev...otépnow. vov pev refers to the time when a sub-
stance is being destroyed, raAw dé to the time when it is being pro-
duced. What underlies or undergoes destruction is matter qualified by
a positive form, i.e. a rode 713 what underlies generation is matter
qualified by a privation.
4. 7 pra % Suoiv,- Aristotle leaves it open whether vAy adAXowry, as
well as vAn romixy, does not imply tAn yervyry; in @, 1050) 17 he says
definitely that it does not. His words here suggest that vAn avéynryn
implies tAy yevvyry, and this is confirmed by De Gen. ef Corr. i. 5
(e.g. 32276, 7). On the relations between the various tla cf. Z.
1036* gn,
His words here suggest that vAn avéynryn
implies tAy yevvyry, and this is confirmed by De Gen. ef Corr. i. 5
(e.g. 32276, 7). On the relations between the various tla cf. Z.
1036* gn,
5-6. ob yap ... éxew. The stars have vAn tomy but not try
yevvnTy, 1044” 7, A. 1069? 26.
6. HAnv...tomuxyy. The phrase is a hapax legomenon in Aristotle, but
cf, An xard rérov KwyTH, 10447, vAy wobev moi, A. 1069) 26,
HAnv ... yervytyy, not matter that can be generated (matter is eternal)
but matter which can take on a new substantial form.
7. 76 pay drdGs yiyveoOa is applicable to the three kinds of change
other than generation or destruction, viz. dopa, avénas, adAotwors,
Q2
228 COMMENTARY
in which a thing does not come to be, simply, but changes its place,
size, or quality. The distinction in De Gen. ef Corr. i. 3 between
émhh yéveors and yévecis 71s within the category of substance does not
seem to be in Aristotle’s mind here.
8. é&v tois puatkois eipntar, Phys. 225%12-20, De Gen. ef Corr.
317217-31. For the citation of other works than the PAyszcs under
the title 7a dvoid cf. Bz. Index 102° g.
Form or Actua.ity (chs. 2, 3).
The various types of differentia or constitutive form (ch. 2).
10429. Since substance as matter, i.e. the substance that is sub-
stance potentially, is generally recognized, we next (2) discuss the
substance, as acfuality, of sensible things. Democritus seems to think
there are three differentiae—shape, position, order.
15. But there are many; things are characterized by composition
(e.g. by being mixed), by being tied, glued, nailed; by position, time,
place; by the sensible qualities such as hardness and softness, some by
some, some by all of these, and in general by excess and defect.
25. ‘Is’ must therefore have just as many meanings; for a threshold
‘being’ means being so situated, for ice it means being so solidified ;
the being of some things, e.g. a hand, will be defined by all these
characteristics.
gi. We must grasp the kinds of differentia, for they will be prin-
ciples of being; e.g. excess and defect, straightness and crookedness,
mixture.
1043% 2. Since substance is the cause of a thing’s being, it will
depend on these differentiae what kind of being the thing in question
has. None of them is substance even when coupled with matter, yet
they are analogous to substance; as in the definition of substances
what is predicated of the matter is the actuality, in other definitions it
is what most resembles actuality.
7. E.g. to define ‘threshold’ we say ‘wood or stone in such
a position’ (adding sometimes the final cause).
12. To different matter there answers a different actuality or defini-
tion—composition, mixture, &c. / Those who define a house as ‘ stones,
bricks, and timbers’ are stating the potential house; those who say
‘a covering for animals and goods’ state the actuality; those who
combine both statements give the concrete substance,
/ Those who define a house as ‘ stones,
bricks, and timbers’ are stating the potential house; those who say
‘a covering for animals and goods’ state the actuality; those who
combine both statements give the concrete substance,
H. 1. 10428 — 2. 1043814 229
21. Of the last kind were the definitions approved by Archytas, e
“still weather is absence of motion in a large extent of air’.
26. Sensible substance, then, is (1) matter, (2) form and actuality,
(3) the union of the two.
1042" 11-35, cf. A. 985° 13-19 nn.
16. It is curious to find xpaois treated as a Kind of cvvéecis.
Elsewhere the two are opposed as one might oppose chemical com-
bination to mechanical composition (De Gen. ef Corr. 328°8,
N. rog2® 24, 26, and cf. 1042 29 n. with 1043213). But cf. De An.
407° 30 hv dpmoviar xpaow xal ovvOeow evartiov civa. ovvOecrs May
in fact be used as the genus including xp@ovs, though usually it means
& species opposed to it.
24. TA per eviots ToUTwr Ta SE wact ToUTos. A// physical bodies are
characterized, according to Aristotle, by dryness or wetness (which form
one of the xpérat évartiéryres), and presumably also by density or
rarity. Every piomévoy copa, i.e. every aciwal sensible body as dis-
tinguished from the pure elements, is characterized as well by hardness
or softness (Meeor. 382° 8).
kat GAws TA wey drepoxA Ta SE eAAeiWer. This applies only to ra rois
rar aicPyray wabeow (1. 21).
27. We should perhaps read xpvordAAw with one manuscript of
Alexander, but xpderadXor is not impossible.
2Q. Ta per pepixOar, Ta Se Kexpdofar. xpaors is properly a kind of
pigis, the wigis of liquids (Zap. 122% 26-31). gigs is probably here
used in a narrower sense = the chemical mixture of solids.
33. Ta TO pGAdov, i.e. those that are characterized by degree, the
aby ray aiePyray, cf 21-25.
1043* 2. # odoia airia tod etvar, cf Z. 17.
4-5. odcia pey ody... ékdete. IT.e. none of these differentiae is
substance either (1) when taken by itself or (2) when coupled with
matter; but it is what is analogous to substance in each case. The
differentiae mentioned are in categories other than substances—in that
of é exew (cvvdeces, Sexpds, KoAAy, aanrken)s of xetrGar, of xorg, of rov, or
of rowy (ra ray aicfyray wefy). They indicate not the inmost
nature of that to which they belong but a mode of arrangement or
other characteristic which may be “only temporary. Therefore the
things characterized by them—(r) artefacta, (2) states of a substance
(xeveradAor, and perhaps rredna, cf. Meteor. ti. 4), (3) parts of living
things—are not substances but only analogous to substances in that they
contain elements answering to matter and form. For the exclusion of
(x) from the dignity of substance cf Bar, Z. r04r 29, and for the
exclusion of (3) cf. Z. 1og0°6. The reason for the exclusion of (3) is
stated there.
7. paddwora, Loe. it is more truly évépyeca than anything else in such
definitions is.
Ig-I4. Tov per ydp . .. cipnpéver. Cf. rog2? 16m, 29 ni.
r04r 29, and for the
exclusion of (3) cf. Z. 1og0°6. The reason for the exclusion of (3) is
stated there.
7. paddwora, Loe. it is more truly évépyeca than anything else in such
definitions is.
Ig-I4. Tov per ydp . .. cipnpéver. Cf. rog2? 16m, 29 ni.
230 COMMENTARY
21. Archytas, one of the most famous members of the Pythagorean
school, and a contemporary of Plato. We have no further light than
that which this passage offers,on his doctrine of definition. The type
of definition he approved is identical with Aristotle’s nominal definition
of attributes per genus et subtectum, the dpirpos which is cvprépacpa. te
drodetEews (An. Post. 75» 32, cf. 93% 22, 94° 7):
28. For the corruption of kat into 67 cf. N. 1089" 35 n.
Distinction between concrete substance and actuality or form. The
Sormer is generated and destroyed, the latter not. Analogy between
Sorm or definition and number (ch. 3).
1043 29. Sometimes it is not clear whether a word means the con-
crete substance or the actuality, e. g. ‘house’, ‘line’, ‘animal’.
36. The two meanings have a common reference, if not a common
definition. The question of the two meanings does not affect the in-
vestigation of sensible substance; for the essence plainly attaches to
the form. For ‘soul’ and ‘to be soul’ are the same, while ‘man’ and
‘to be man’ are different, unless the soul can be called man. Fs
b4. The syllable does not consist of the letters + composition ; for
the composition is not derived from the things compounded. The
position is not derived from the threshold, but w7ce versa.
10. Man is not animal + two-footed ; if these are the matter of man,
there must be something apart from these—neither an element nor
a compound but the substance. Those who describe man as animal
+two-footed are omitting this, and stating the matter. If, then, this
is the cause of man’s being, and that is the substance of man, they will
not be stating man’s very substance.
(14. This is either eternal, or perishable and generable without ever
being in process of perishing or becoming. It is not the form but the
concrete thing that is generated. .Evidently the substances of some
perishable things cannot exist separately, viz. those that cannot exist
apart from the particular instances, e.g. house. Perhaps these, and
_jndeed all things that are not formed by nature, are not substances ;
the nature in natural objects is the only substance in perishable
things.)
23. Thus there is some point in Antisthenes’ problem; he said you
cannot define what a thing is (definition being simply circumlocution),
but can teach what sort of thing it is (e. g. that silver is Zeke tin),
28. so that composite substance, whether sensible or intelligible,
can be defined, but its elements cannot, since definition predicates one
thing (form) of another (matter).
H. 2. 10432 21 — 3. 1043? 11 231
g. that silver is Zeke tin),
28. so that composite substance, whether sensible or intelligible,
can be defined, but its elements cannot, since definition predicates one
thing (form) of another (matter).
H. 2. 10432 21 — 3. 1043? 11 231
32. If numbers are substances, it is in this way and not as assem-
blages of units ; for (1) definition is a sort of number, being divisible,
and divisible into indivisibles,
36. (2) Definition, like number, loses its identity if anything be
subtracted from or added to it.
1044*2. (3) A number must be something by virtue of which it is
one—else it is a mere aggregate ; a definition also is one; but the
principle of unity in both is commonly missed. This is natural, for
substance has the sort of unity that a number, not a unit, has; it is an
actuality and a definite nature.
g. (4) Formal substance, like number, does not admit of degree ;
if any substance does so, it is concrete substance.
We have shown, then, in what sense generation and destruction of
so-called substances is possible, and have dealt with the reduction of
substance to number.
This chapter is a collection of ill-connected remarks on various
topics relating to essence and definition.
10437 29-4 is a note on the ambiguity of words like ‘house’,
‘line’, &c. At» 4 Aristotle returns to the main subject.
33. wétepov Suds év pyxer 7 [Str] Buds. Cf. Z. 1036 13-17 n.
34. ot, as Bywater pointed out, is doubtless an emblema from ll. 31,
33. For the intrusion of ori cf. Z. 1041» 30 (Ab), N, 1089? 7, Prodi.
962% 2 and possibly @. 10507 14, 1051 30.
37. @s mpds ev, cf. T. 10037 33 n.
be, uxt ev yap kat puxy etvat tadtdy. Aristotle has tried to prove
this in Z. 6.
4. Twt péev twit 8 od. I.e. ‘being man’ will be the same as man in
the sense of ‘the human soul’, but not as man in the sense of ‘the
complex of soul and body’.
4-8. The reasoning is inconsecutive. ‘The syllable does not con-
sist of the letters+their composition. This is natural because the
composition doesnot consist of the letters.’ The second sentence
contains a suggestion which is quite different from that contained in
the first, and ydp is unjustifiable. Aristotle rejects both suggestions ;
the form is oUre orovxetov ovr éx ororxeiov (1. 12). Bz. takes éx rovrwv
(I. 7) to mean ‘one of the things’, but the use of é« in two quite different
senses is most improbable.
Q. «i 6 00dds Oe, cf. 1042» 19.
Q-I0. otk ék Tod ob800. .. éxetyns. ‘The position is not made up
out of the threshold’ (i.e. out of the material parts of the threshold,
cf. 1. 7 ék tovrwv dy éori otvOecrs), ‘but rather the threshold is constituted
by the position’.
11. Usually the genus is described as matter, the differentia as
form, cf. A. 1024» 8, Z. 103876, 19. To treat genus and differentia
232 COMMENTARY
out of the material parts of the threshold,
cf. 1. 7 ék tovrwv dy éori otvOecrs), ‘but rather the threshold is constituted
by the position’.
11. Usually the genus is described as matter, the differentia as
form, cf. A. 1024» 8, Z. 103876, 19. To treat genus and differentia
232 COMMENTARY
as if they existed side by side like material elements and required a third
thing to unite them is un-Aristotelian. Cf. Z. 12, H. 6, where Aristotle
makes the unity of essence depend on the fact that genus has no
existence apart from differentia. Dittenberger therefore would omit
ovde.. . . Séovy as an interpolation due to a misunderstanding of ch. 6,
and treat éuows .. . éxetvys (8-10) as parenthetical. He has, however,
misunderstood what Aristotle says.-‘Man is not €dov+dérovv but
fGov dirow (Z. 1037 12-14). To describe him as Lov + Strovr i is to
treat these as the materials of which he consists, and if these are mere
materials, /hen there must be something else which is neither an element
nor composed of elements but the substance; this they omit, and
mention only the matter, if they describe man as {gov + déouv.’
12, éfa.podvtes, according to Al. 553. 7, governs ryv vAnv. Cf.
Z. 1036” 23 ddawpety tiv tAnv. ‘Which people name when they
eliminate the matter.’ What people? Alexander suggests the Platonists.
But a reference to them is out of place. Aristotle is dealing in this
chapter with the common tendency to describe a whole as a sum of
parts or materials, omitting the principle of unity; cf. 104473, 6.
Lines 10-14 form a much more consecutive piece of reasoning if
e€apodytes be taken to govern 6. Cf. fin a similar context) De Gen. ef
Corr. 335” 35 aaipodo. yep TO TL HV elvar Kal THY poppy.
13. Bz.’s kat otctas, todro adriv xrX., though it derives some support
from Al. 553. 11, is not really needed. The reading of E*JIT gives
a good argument :
The principle of union is the cause of being.
This (the cause of being) is substance (cf. 4 2).
.. In omitting the principle of union and naming only the matter
they will not be naming the substance itself.
14. The omission of od in AP Al. is due to the misunderstanding of
0 é€arpodvres THY VAnv A€yovow (1, 12).
14-16. 7 didiov... yiyveoOar. Cf. E. 10242 29n., Z. 1033) 5-6 n.
16, év d&ddous, Z. 8.
I7. TWovetTar Tose, ylyvetar Sé TO ex ToUTwy is pleonastic, and there is
a good deal to be said for Bz.’s woul eis rode. Cf. Z. 1033 10.
18. TovTwy, i.e. matter and form, cf. ll. 11, 12.
18-19. ci 8 eiot...890v. In the long run it appears that for Aristotle
reason is the only ywpicroy «idos. Every other form is the form of
a certain kind of matter and inseparable from it.
19-21. whi... oxedos. Cf. Z. 1033) 19-21.
21-22, ore TL... ouvéornkey. Cf. @ 4-5 n., Z. 1041? 29 n.
11, 12.
18-19. ci 8 eiot...890v. In the long run it appears that for Aristotle
reason is the only ywpicroy «idos. Every other form is the form of
a certain kind of matter and inseparable from it.
19-21. whi... oxedos. Cf. Z. 1033) 19-21.
21-22, ore TL... ouvéornkey. Cf. @ 4-5 n., Z. 1041? 29 n.
23-25. date 7 dtopia... exer Td Karpov. Aristotle has said (ll, 10-14)
that if the genus and differentia are treated as the matter of the thing
defined, the definition must miss the essence of the thing defined.
‘Thus’, he continues, ‘ there is a certain timeliness in the Antisthenean
doctrine that definition is impossible, that any definition must miss the
essence of its object.’ Lines 14-23 must be regarded as a digression.
24. ol “AvticPéverot Kal ot orws AmalSeuror, cf. A. r024? 32-34 Nn.
The view of the Antistheneans seems to be that which is referred to
H. 3. 1043 12 — 10448 2 By
in Pl. Zheaet. 201 E-202 ¢, viz. that simple entities cannot be defined
but only named, and that complex entities can only be defined to the
extent of naming their simple elements, i. e. by a definition which con-
tains indefinables. Definition is an dvoudrwv cvprAoKky. It explains
its subject only by reference to elements themselves dAoya kai dyvwora,
and is thus but a Adyos paxpés, a diffuse and evasive answer to a ques-
tion. (For Adyos paxpds cf. N. 10917 n.) Hence simple entities (of
which silver is taken as an example) cannot be defined at all, but
only described as /zke certain other simple entities.
29. THs ouvOdrou, edv Te aicOnrh édv te vonth W. What is definable
must in any case be a universal. The definable senszble composite will
be a term like ‘man’, which is analysable into a certain form and a
certain kind of sensible matter (Z. 103529). The definable z/elligzble
composite will be a term like ‘line’, which is analysable into the form
: bs and the intelligible matter ‘length’ (Z. 1036 13-17, cf. 1035
20N.),
The analysis of ‘man’ into ‘ two-footed’ and ‘ animal’, also, would
be an analysis into form and ‘intelligible matter’, in another sense of
that term (1045 34).
édv Te aloOnTh edv te vont 7. It is certain that Antisthenes, who
was an out-and-out sensationalist, meant by a complex a thing which
could be divided into senszdle parts or elements, Cf. Zheaef. 201 E ta
TpOTa otovrepel oroixela, ef dv pels Te ovyKeieOa Kal TaAAG. Aristotle
interprets him in the light of his own doctrine of tAy voyrn.
31-32. 75 pev, the genus; 716 8¢, the differentia, Cf. A. 10248,
Z. 103876, 19.
32—1044714. This is a section, not closely connected with what
precedes, in which Aristotle, while pointing out that substances are not
numbers in the way in which he thinks the Platonists supposed them to
be so, shows that there are certain analogies between substances and
numbers. They are, he thinks, mere analogies, but they account for
the attractiveness, to some minds, of the reduction of substance to
number.
They are, he thinks, mere analogies, but they account for
the attractiveness, to some minds, of the reduction of substance to
number.
33. obrws eiot xth., i.e. they are not simply aggregates of units but
have a principle of unity which keeps their parts together.
84. ds twes Aéyouor, sc. the Pythagoreans and Platonists. Cf.
M. 6,7. Aristotle seems rather confused about the view he is attack-
ing. He here describes it as the view that substance is like an aggre-
gate of units ; in 1044? 8 he describes it as the view that substance is
a sort of unit (unless indeed he is there referring to the view of some
other thinkers, perhaps a different set of Platonists).
It is rather hard on the Platonists to attack them for treating the
essential substance of things as an ageregate, if (as seems to be the
case) the doctrine of inaddible numbers was meant just to avoid this
implication. But Aristotle does not seem to understand the ‘ inaddible
numbers’. Cf..M. 6, 7 nn.
1044-2. kal tov dpOpdv Sei eivai Tr @ ets. Bz. proposes 7G dpiO ue for
rov apiOyov, but Aristotle means not that number must ave, but that it
$T. ALBERTS COLLEGE LIBRARY
234 COMMENTARY
must de, a principle of unity, just as in general he identifies substance
with the unifying principle.
8-9. Ad odx... éxdoty: | Cf. 104334 n. Aristotle here opposes
his view of essence as an ‘actuality and nature’ which holds together
material parts to the view that it is a mere indivisible unit.
Q-10. domep o8Sé 6 AptOuss ... Arrov. Ie. a number cannot be
more or less a particular number ; it either definitely is it or definitely
is not it.
11. AN’ elrep, } peTd THs Odys. In Cas 3>33—429 Aristotle
implies that not even 4 peta rhs tAys, the concrete individual, can
be more or less the substance it is.
II-13. epi pév ody yevéoews . . . Advvarov refers to 1043 14-23, Tept
Tis eis Tov dpiOudy avaywyis to 1043>32—1044* 11. These, then,
are for Aristotle the main sections of the chapter.
The various causes of generable natural substances, elernal natural
substances, and natural events (ch. 4).
1044°15. Even if all things have the same ultimate matter, they
have different proximate matter.
20. The same thing has more than one matter. Phlegm comes
(1) (a) from what is fat, directly, (2) from the sweet, because the fat
comes from the sweet, (2) from bile, by the resolution of bile into
prime matter.
25. From the same matter different moving causes can sometimes
produce different things ; in other cases different things involve different
matter. If the same thing can come from different matters, the
moving cause must be the same.
32. When we look for the cause of a thing, we must state all the
causes we can—material, efficient, formal, final (the last two being
~ perhaps the same), taking care to get the proximate cause.
If the same thing can come from different matters, the
moving cause must be the same.
32. When we look for the cause of a thing, we must state all the
causes we can—material, efficient, formal, final (the last two being
~ perhaps the same), taking care to get the proximate cause.
bg. So much for generable natural substances. The case of
eternal natural substances is different ; some things presumably have
no matter, or only the matter which qualifies things for spatial
movement.
8. In natural things that are not substances there is no matter; the
substance is their substratum. There is no matter of eclipse; the
moon is what suffers it; the efficient cause is the earth; there is
presumably no final cause. The formal cause is the definition, but this
is obscure unless it states the efficient cause, as does the definition
‘ deprivation of light by the interposition of the earth’.
15. The importance of getting the proxzmate cause may be illus-
trated by the causes of sleep.
H. 3. 104428 —4. 104417 235
1044° 16. ék tod attod mdyta mpdrou, i.e. from prime matter; 4 Tav
avTav &s mpdtwy, i.e. from the four elements.
22. et 76 Aimapdv ék tod yhuxeos, cf. De An. 42212, De Sensu
442° 17, 23.
33-34. mdcas .. . Tas évdexopnevas airias, i.e. all the causes we can
state.
35. dpa ta katapynna; Cf. G. A. 727? 31, 729 30.
Gpa to oméppa; Cf. 7292 28.
DT, tows S€ Taira dpow 16 adtd, Cf. De Gen. e¢ Corr. 335» 6.
6. tay uoikay pev didlwy S€ odcrdy, i.e. the celestial spheres and
the stars.
Q. oK €ott TovTous UAn kTA. What underlies an: accident, as matter
underlies substance, is not matter but substance. Cf. Z. 1038) 5.
12. 70 8 of évexa iows od éotiwv. This is a serious admission,
in view of Aristotle’s identification in ]. 1 of the formal with the final
cause. His teleology is in fact not complete. There is not always
a final cause. But where there is, it is the formal cause as well. In
the absence of a final cause, the thing is defined by reference to its
efficient cause, as in ll. 14,15. Eclipse is for Aristotle an example of
tattopatov. ‘The sun’s motion is no doubt évexa tov and so is that
of the moon, but the two acting together may produce a result which
is not evexa Tov.
16. GAN Gre 7d Loov; vai, &AAd KTA. is very like ]. 19 ore dxuwyoia
Toadt ; vat, dAN xrA. The first adda is natural enough in introducing
a suggested answer. Cf. L. and S. s.v. 1. 1, Kiihner ii, 2. § 589. 9.
The manuscript reading ddd’ 67 is therefore preferable to Bz.’s con-
jecture aAAo zz (‘Is it anything other than the animal?’), a phrase
which does not seem to occur in Aristotle.
The first adda is natural enough in introducing
a suggested answer. Cf. L. and S. s.v. 1. 1, Kiihner ii, 2. § 589. 9.
The manuscript reading ddd’ 67 is therefore preferable to Bz.’s con-
jecture aAAo zz (‘Is it anything other than the animal?’), a phrase
which does not seem to occur in Aristotle.
17. kapdta, Sleep is a wafos tov Kupiov TOv GAAwy Tavtwy aicOyTy-
plov (De Somno 455 20-26, 33, »10, 458% 28), which is the heart (4568 4)
or, in bloodless animals, what is analogous to it (456% 11). Elsewhere
Aristotle connects sleep especially with the brain (P..A. 653% 10).
A definition quoted thus by way of illustration is not necessarily his
own; e.g. in similar contexts (dz. Post. 938, 944) he cites
Anaxagoras’ definition of thunder, though his own was different
(Meteor. 369% 10 —370* 33). Cf. ©. 1049820.
Only things subject to generation and change have matter. The
relations between matter and its contrary states (ch. 5).
1044» 21. Since points, and in general forms, are and are not,
without generation and destruction (for white does not come to
be but wood comes to be white), not all contraries come to be out of
one another (pale man from dark man but not pale from dark); nor
have all things matter, but only the things liable to generation and
reciprocal transformation.
236 COMMENTARY
29. How is matter related to its contrary states? Is a body
potentially diseased as well as potentially healthy, water potentially
vinegar as well as potentially wine? It is the matter of the one in
virtue of a positive state or form, of the other in virtue of the privation
of the form. + 1
34. Again, why is not wine ‘potentially vinegar’, the living man
‘potentially dead’? These corruptions are incidental; the matter of
the living man is by force of corruption potentially a dead man, and
water (the matter of wine) potentially vinegar. Where, as here,
opposites change into one another, the negative (e.g. dead body,
vinegar) must be resolved into its matter before it can change into its
positive.
1044) 21. éva dvev yevésews Kat pOopas eorr Kal ov €or, cf.
BH. 10274 29n., Z. 1033 5-6 n.
22. otov at ortypat, cf. B. 10028 32, . WV. 1174) 12.
eimep eiot, ‘if they may be said to exist’. The Pythagoreans and
Platonists thought they existed as substances, but Aristotle insists that
they are merely romai, diatpécers, répara of lines (K. 1060? 12 ff., N.
10go? 5 ff.).
1033 5-6 n.
22. otov at ortypat, cf. B. 10028 32, . WV. 1174) 12.
eimep eiot, ‘if they may be said to exist’. The Pythagoreans and
Platonists thought they existed as substances, but Aristotle insists that
they are merely romai, diatpécers, répara of lines (K. 1060? 12 ff., N.
10go? 5 ff.).
25. &\X’ érépws wth. A black thing (1) can become a white thing,
and (2) does so bya process, by one part after another becoming
white (Phys. vi. 4). But (1) black does not become white—all that we
can say is that there was black and there zs white; and (2) white
succeeds black instantaneously. When Aristotle says that contraries
do not change into one another (A. 1069” 6), he is using évayriov
in only one (the more fundamental!) of the two senses here referred to,
i.e. of the contrary qualities, not of the things characterized by those
qualities. In the work Iept évavriwy (fr. 119 Rose) he distinguished
the two kinds of contraries as 7a Ka@ atrd evavria and 7a TO peréxew
évavtiwv évavria. Cf. I. 1057 6.
34. dmopia 8€ ts €or. Aristotle’s answer to the question is that
wine is not the matter of vinegar but the normal product of the same
matter of which vinegar is the abnormal product. In sucha case there
is no direct transition from the normal to the abnormal product nor
vice versa; the given product must first be reduced to its constituent
matter.
This is stated explicitly of the change from the abnormal to the
normal product (1045* 4-6), and implied with regard to the converse
change (1044> 34—104538 2).
36. card cupBeBnkds at POopat, i.e. the degeneration into vinegar
does not attach to the wine directly, but to the water of which the wine
is a particular form. Thus the chapter indicates three ways in which
A may change into B:
(1) xa? e£w kal xara 76 e@Sos, as water into wine,
(2) kata orépnow Kal POopay tiv tapa pvow, as water into vinegar,
H, 5. 1044» 21 — 1045 3 237
(3) Kara cvpPB_eByxos, as wine into vinegar, or vinegar into wine.
1045* 3. ék tovtwy, sc. ex Lwov, é& olvov. As wine and vinegar have
a common matter, water, so day and night have a common sub-
stratum, air (A. 1070? 21).
The unity of definition (ch. 6).
104577. We return to the question (cf. 104423) what makes a
definition or a number one. All wholes as opposed to mere aggre-
gates must have a cause of unity, which in bodies is contact, viscidity,
&e.
12. A definition is one not by external union but by being the
definition of one object. What, then, makes man one, not animal +
two-footed? In particular, if there are Ideas of animal and two-
footed, why do not men exist by participation in these two rather than
in one Idea? +
20. The usual modes of definition afford no answer to the question,
but the distinction of form and matter does.
In particular, if there are Ideas of animal and two-
footed, why do not men exist by participation in these two rather than
in one Idea? +
20. The usual modes of definition afford no answer to the question,
but the distinction of form and matter does.
25. The difficulty is the same as that of the unity of ‘round bronze’,
if this be the definition of some term, It is one simply because
bronze is matter and round is form. ‘There is no cause of the actual
coming to be of what was potentially, save the efficient cause, in the
case of things subject to becoming. It is the essence of the potential
sphere to become actual, of the actual to have been potential.
33. Matter may be either sensible, or intelligible ; in a definition
there is always an element of matter as well as one of actuality (e, g,
‘plane figure’ in the definition of circle).
36. Things that have not matter of either kind, i.e. the categories,
are directly and essentially some kind of one as they are some kind of
being ; hence their existence and their oneness are not stated in their
definitions. ‘Their essence is directly a one as it is an existent ; hence
there is no other cause of their unity or of their existence ; for each is
directly an existent and a one, though being and unity are not their
genera and do not exist apart from the particular kinds of being and
unity.
b 4, Some solve the problem of unity by ‘ participation’, which they
cannot explain or define; others by ‘intercourse’ (so Lycophron),
‘ composition ’, ‘ connexion ’—formulae that can be applied to anything
whatever.
16. Their mistake is that they look for a difference between, and a
unifying formula for, potentiality and actuality, while really the proxi-
238 COMMENTARY
mate matter and the form are one, the first being potentially what the
second is actually, so that there is no reason of their unity except that
which causes the movement from potentiality to actuality; while
immaterial things are without qualification and essentially unities,
10452 7. THs elpnwevys, Z. 12, H. 10442 2-6.
8. kal mept tos dpiOuous. The chapter in fact discusses only the
unity of definitions.
25. gott yap alt ¥ dwopta «tk. The problem is that of the unity
of genus or vAy vont with differentia. Aristotle illustrates it by. the
more familiar notion of the unity of form with vAy aicOyrn in e.g.
a bronze ball, and then in |]. 33 returns to the case of genus and
differentia, and points out that genus is to differentia as sensible matter
to form and may therefore be called intelligible matter.
26. For iudérwv taken thus arbitrarily cf De Int, 18°19, Z.
1029? 28.
a bronze ball, and then in |]. 33 returns to the case of genus and
differentia, and points out that genus is to differentia as sensible matter
to form and may therefore be called intelligible matter.
26. For iudérwv taken thus arbitrarily cf De Int, 18°19, Z.
1029? 28.
33. éxarépw may mean (1) ‘for the potential ball and for the poten-
tial man’ (I. 18) (this is Alexander's second interpretation, 562. 10); or
(2) ‘it was the essence of the potential ball to become an actual ball, and
of the actual ball to be produced from a potential ball’. This is the
more probable interpretation ; the reference to the case of man occurs
too far back to be referred to here as Alexander suggests.
34. tA vonry means here the generic element in a species. For
this use of $An (without the adjective) cf. 23, A. 1024" 9, Z. 1038 6,
I. 10584 23. tA vonry occurs in (apparently) a different sense in
Z. 1036* g, where see note.
35. oXipa énimedov. The interest here being in matter, Aristotle
states only the material or generic element in the definition of circle.
36—» 7. Aristotle has shown that a species is unified by the fact
that its genus exists only as the matter of its differentia, and its
differentia only as the form of its genus. This explanation does not
apply to swmma genera (i.e. categories), which have no matter either
intelligible or sensible. The unity of these, however, needs no explana-
tion; they are by their own nature instances of unity (dep & 71),
as they are instances of being. Because unity and being are inevitably
predicable of them, unity and being are not mentioned in their
definitions (really, of course, they have no definitions but can merely be
described, Alexander 563. 17).
The section contains a certain amount of repetition, but this is
for the sake of emphasis. The rearrangements of the text by Alexander
and Schwegler are not necessary and do not help matters ; the justifica-
tion of 86 in 2, which was the point that troubled them, lies in ei@us
(* 36). Since any swmmum genus must from its very nature be a one
and an existent, ‘one’ and ‘existent’ need not be inserted in the
definition of any swmmum genus.
b 6-7. odx 4s... mapa ta KaO” Exacta is evidently directed against
the Platonists,
H. 6, 1045 7 — 104519 239
6. otx ds... vi. Aristotle holds that being and unity are not
genera, for reasons given in B. 998 22 ff. Each of them is one 7 ad’
évos OF T@ Tpos ey OF Kar’ avadoyiar.
7. 088 &s xwpiotay dvtwr, sc. rod dvros Kal Tod évds. TH Kal Exacta
= the several categories.
8. ot pév, Plato and his followers, A. 987” 13.
10. Wux‘s is evidently an emblema from the next line.
Avuxédpov, an orator and sophist of the school of Gorgias, mentioned
several times by Aristotle (Zop. 174” 32, Phys. 185 28, Pol. 1280? 10,
Rhet. 1405» 35, 14067 7, 1410717). Cf. Zeller io 1323, n. 3.
987” 13.
10. Wux‘s is evidently an emblema from the next line.
Avuxédpov, an orator and sophist of the school of Gorgias, mentioned
several times by Aristotle (Zop. 174” 32, Phys. 185 28, Pol. 1280? 10,
Rhet. 1405» 35, 14067 7, 1410717). Cf. Zeller io 1323, n. 3.
12-16. Evidently Aristotle means to refute these explanations by
a reductio ad absurdum. The absurdity lies in the application of terms
like o¥vGects to things that never existed apart.
15. 76 Neukdv etvar. Bz.’s ro ryv émupdveravy Aevkov etvar would be
easier, but the subject of Aevxdy efvar may as well be omitted as that of
byaivew (1. 13). A surface is the only thing that can fer se be white.
18. domep eipytar. Aristotle has not actually said this; he is refer-
ring loosely to 4 23-33.
1g. The ellipse of 6 pév, 7d pev before 6 dé, 7d d€ is not uncommon
in Aristotle, Cf. A. 98159, A. 1024%33, I. 10575, 15, Bz. Index
166 55.
But the ellipse would be unusually harsh here, and Casaubon may
be right in inserting 76 ev. In any case, it seems best to read €y with
ACs
@ote Suovoy KT. ‘ So that it is like asking what in general is the cause
of unity and of a thing’s being one’—which is an obviously absurd
question.
BOOK ©
Potency (chs. 1-5).
Potency in the strict sense, t.e. power to produce motion (ch. 1).
1045 27. We have treated of primary being, to which all the other
categories imply a reference, viz. substance; since being is divided
according as it means potency or complete reality as well as according
to the categories, we must discuss potency and complete reality.
35. First we will discuss potency in the strict sense, which, however,
is not the most suitable to our present purpose. Later, in our dis-
cussion of actuality, we will explain the other senses of potency.
240 COMMENTARY
104624. We may set aside the potencies that are so called by
equivocation (i.e. potencies or powers in geometry).
g. Potencies in the proper sense are originative sources, and are
called potencies by reference to a primary kind (a), that which is
a source of change in another thing or“in the thing itself gwa other.
The derivative kinds are (2) the potency of being acted on, of being
changed by another or by the thing itself gva other, and (c) insuscepti-
bility to change for the worse by the agency of another thing or of the
thing itself gua other,
16. Again, these are potencies of acting or being acted on simply, or
of acting or being acted on well; the definition of the former is implied
in that of the latter.
1g. In a sense the potency of acting is one with that of being acted
on; in a sense it is different. ‘The one is in the patient (it is because
even the matter is a motive principle that things can be acted on,
different things by different things); the other is in the agent. Thus
so far as a thing is an organic unity it cannot be acted on by itself, for
it contains no distinction of agent and patient.
Thus
so far as a thing is an organic unity it cannot be acted on by itself, for
it contains no distinction of agent and patient.
29. To every potency there answers a privation of potency, an
incapacity to do that same thing in that same relation. We say
a thing is ‘deprived’ of an attribute (1) when it has not it, (2) when it
might naturally have it but has not it—has not it (a) at any time
or (6) when it might have it, and again (a) has not it in a particular
way (e. g. completely) or (8) has not it at all. Again, we sometimes
mean that it is prevented by force from having what it would naturally
have.
1045 28. eipytar. The reference is to ZH in general.
32. elmopev év Tots mpwTois Aéyots. The point has been made both in
T. 1003 33 andin Z. x. As it is doubtful whether I was originally
part of the same treatise as @, Z seems likely to be meant here.
32-34. émel 8¢...épyov. For the full list of meanings of év cf, E.
10264 33- 2,
85—1046? 4. The two senses of dvvayus which Aristotle wants to
distinguish may be indicated by the words ‘ power’ and ‘ potentiality’
respectively. He proposes to treat first of power, and then, in discuss-
ing actuality, to treat incidentally of potentiality (1046% 2-4). Power
he explains as primarily a power in A to produce a change in B, or in
A, considered in one respect, to produce change in itself in another
respect (104611). Potentiality on the other hand is a potentiality in
A of passing into some new state or engaging in some new activity
(1048 32). This activity may be the production of a change in B,
but the notion of a B to be acted on is not necessarily implied in the
©. 1. 1045 28 — 10464 31 24I
notion of potentiality, as it is in that of power. The notion of power
is obscure enough, but it is certainly familiar and it is easily distin-
guished from that of potentiality. But Aristotle proceeds to treat as
subsidiary to the notion of power as distinct from potentiality, of
h kata Kivnow divas (1046* 2), (2) the power in A of being changed
by B and (4) the power in A of not being changed for the worse by B
(t1-15). In these ‘powers’ part of the distinctive nature of power
as against potentiality is still present—viz. the distinct implication
of two things A and B; but the other part of its distinctive nature
is gone—viz. the implication of positive force, for in (a) weakness
rather than force, and in (6) inertial resistance rather than force is
implied as being present in A. That Aristotle does not successfully
preserve the distinction between power and potentiality is further
indicated by the facts noticed by Bz., that in the discussion of power
he introduces (1) a definition of dvvardv which clearly refers to
potentiality rather than to power (1047 24), and (2) a lengthy section
which also refers to potentiality rather than to power (1047 3-30).
10464 2, eimdvtes epi tavTys, in chs. 1-5.
3. ev Tois mepl Tis evepyelas Sioptopois, chs. 6-10. The precise
reference is to 1048 27.
5. év GXous, A. 12.
10464 2, eimdvtes epi tavTys, in chs. 1-5.
3. ev Tois mepl Tis evepyelas Sioptopois, chs. 6-10. The precise
reference is to 1048 27.
5. év GXous, A. 12.
7. xaddaep év yewpetpia. Cf. A. 1019) 33 n.
8. Schwegler puts a comma after yewmerpia and takes kal dvvard xr.
as referring to the senses of dvvarov and advvaroy expounded in A.
1019 21-33, but the run of the sentence forbids this.
13. dmaletas Tis emt 16 xetpov is used elliptically for dmaeias pera-
BodHs THs ext 76 xepov, and dOopas depends, like the ‘ understood’
peraBoArys, ON dmrabeias.
17. tod before zafety seems pretty certainly to have been inserted by
a copyist who did not see the point.
19-20. éort pev... mdoyew. In saying that the power of acting
and that of being acted on are in a sense one Aristotle does not, as
Bz. supposes, make use of an ambiguity in the phrase apy) peraBodArs
év dAXw (1.11), by which év d\Aw can be taken either with apy or with
peraBoAjs. The whole context shows that év d\Aw goes only with
peraBodys; it is in virtue of this that dpyy peraBodjs ev dAAw can be
opposed to dpyy peraBodrns jm’ GAdrov (I. 12). Rather the unity,
in some sense, of the active and the passive dvvayis is based on this,
that the single fact that A can change B leads us to ascribe both an
active power to A and a passive power to B. The active and the
passive power are thus the complementary aspects of a single fact. Cf.
De An. 425» 25—426* 30,
24. 76 AuTapdv pev yap Kkavotév. I.e. that which suffers burning
must have a matter which lends itself to burning ; it must be fat.
28. cupmépuxer, cf. Z. 1040 15 n.
BI. 7 3é orépyors Aéyetar ToAAaxds, cf. A. 22.
2573-2 R
242 COMMENTARY
Rational and non-rational potencies (ch. 2).
1046? 36. Some potencies are irrational, others rational ; thus the
arts are potencies. :
b 4. Rational potencies are of contraties, irrational of one result
only; the hot can only heat, but the medical art can cause either
disease or health, because knowledge is a rational account and the
same account explains both a thing and its privation ;
g. but it explains the one essentially, the other incidentally by the
absence of the first.
15. Thus the scientific man, starting from the single principle of
movement which he has in his soul, can produce contrary results, linking
both movements syllogistically with the same rational account.
24. The power of doing a thing well (or being acted on well)
implies the power of doing it (or being acted on), but not vice versa.
1046) 3. at wowntiKal émorhpat = ai téxvau. xaé is explicative. Cf,
A. 1075° 1.
24. The power of doing a thing well (or being acted on well)
implies the power of doing it (or being acted on), but not vice versa.
1046) 3. at wowntiKal émorhpat = ai téxvau. xaé is explicative. Cf,
A. 1075° 1.
4. at wey peta Adyou aca toy évavtiwv at adtat. Aristotle is not
asserting contingency in the sphere of rational powers—asserting that
precisely the same cause can produce opposite results. Opposite
results may supervene on the presence of a single Adyos, but it has not
been their sole cause; didvova, adr ober xwel (L. V. 1139 35); desire
or choice turns the scale (1048*10). The Adyos has been accom-
panied in the one case by the desire, say, to cure, in the other by the
desire to kill, and this accounts for the difference in the result.
14. yap ortépnors | mpwTy 7d evavtiovy, eévaytiwors proper is erépyous
teheia (I. 1055% 34); if a subject which might have a certain attri-
bute completely fails to have it, this state is ‘contrary’ to the state of
having the attribute completely.
15. éwet Sé ta evavtia ok éyylyverar év TG atte. This gives the
reason for 76 pév byvewov. . . Wuxpdéryta, while 4 8 emurrnun . . . dpxnv
gives the reason for 6 8 émorjpwov audw; and it is on 6 & émorjpov
apdw and the reason for it that the stress falls. ‘ While the wholesome
produces only health because its power gua wholesome, being an
irrational power, is a power only to produce health and the law of con-
tradiction forbids its having also the contrary power, on the other hand
since knowledge . . ., the man who has knowledge can produce both,’
20. Adyos yép... pév. ‘For it (the Adyos mentioned in 1. 17)
is a Adyos of both the contrary results.’
21. H xe. Jaeger prefers 7 éyer, but Alexander read # éyet (570. 6).
The Adyos is not present in a Soul in virtue of the soul’s having an
dpx7 of movement, but is present in a soul which in fact has such an
apxy, and it is this coincidence that leads to action.
21-22, Alexander explains both tis atris apxis and taité as 76
©. 2. 10466 3-24 243
Aoyorixov. That ris abrys dpyjs means 6 Adyos is shown by |, 24, and
tavré probably means this also, The soul will initiate either of two
contrary movements as a result of the same originative source, the
account it has framed for itself of the object, and it will have linked both
movements with the same thing, i.e. deduced them from this account
as the movements necessary to bring the object into existence or
to prevent its coming into existence. For cvvdrrew used of syllogistic
‘linking up’ cf. Az. Pr. 4121, 12, 19, 65> 33, 692 18, 19.
22-24, A thing which has a rational power can produce the con-
traries of the two results which two things having irrational powers
respectively produce. Wholesome food produces only health, un-
wholesome food only disease ; a doctor can produce both. ots dvev
Adyov dvvarois is, however, rather pointless, and may be a mistaken
gloss on ravavria.
Potency defended against attack (ch, 3).
Wholesome food produces only health, un-
wholesome food only disease ; a doctor can produce both. ots dvev
Adyov dvvarois is, however, rather pointless, and may be a mistaken
gloss on ravavria.
Potency defended against attack (ch, 3).
1046» 29. There are some who say, as the Megaric school does,
that there is potency only when there is actuality. This leads to
manifest paradoxes :
33. (1) A man will not be a builder if he is not building, for to be
a builder is to be able to build. Now if one cannot have an art with-
out having learnt it, or, later, be without it without having lost it (i.e. by
forgetfulness, disease, or lapse of time, for the odjecf of art cannot be
destroyed), are we to suppose that the moment he stops building he has
lost the art; if, then, he starts building again immediately, how will he
have recovered the art?
1047* 4. Again, nothing will be cold or hot when it is not being
perceived (so that they are really maintaining the theory of Protagoras),
nor will anything have perception if it is not perceiving; people will
be blind and deaf many times a day.
10. (2) That which is not happening will be incapable of happening,
and then we must never say that it will be, so that change is done away
with ; what stands will always stand, what sits will always sit.
17. To avoid these consequences we must distinguish potency and
actuality.
24. A thing is ‘capable’ of something if there is nothing impossible
in its having the actuality of that of which it is said to have the
potency.
30. The word ‘actuality’, which we connect with ‘ complete reality ’,
refers originally to movement; hence we do not ascribe movement to
non-existent things, though we assign to them predicates like ‘ think-
able’ because they will sometime actually exist.
RZ
244 COMMENTARY
Chapter 3 defends the notion of the possible in distinction from the
actual ; chapter 4 defends the notion of the impossible.
1046 a9. ofov ot Meyapixot, Apart from this passage we have
no information about Megaric views on possibility earlier than those
of Diodorus Cronus (ob. 307 B. c.).
1046 a9. ofov ot Meyapixot, Apart from this passage we have
no information about Megaric views on possibility earlier than those
of Diodorus Cronus (ob. 307 B. c.).
Diodorus in his famous xvptevor. Adyos used the principles that
‘everything that is past is necessarily true ‘(an Aristotelian dictum,
E.N. 1139» 4-9, Rhet. 1418* 3-5) and that ‘on what is possible
nothing impoattle follows’ (the criterion of the possible stated in this
chapter, 10472 24-26) to disprove a third principle ‘ that may be pos-
sible which neither is nor will be true’ and to prove instead that
‘nothing is possible which neither is nor will be true’. In this he
gives up (presumably in view of Aristotle’s arguments in this chapter,
the original Megarian position that ‘nothing is possible which zs not
true’, Maier maintains (Archiv f. Gesch. d. Phil. xiii. 31) that
Diodorus’ own position is directed against Aristotle’s statement
(10478) otf Kove dvvardv tr dv elvan yevéoOar py etvar pyd
éceoOar. Butthis cannot beso, These words are not Aristotle’s own
statement but occur in his account of his adversary’s position. His
own statement is the direct opposite and is identical with that of
Diodorus—oix évdéxerar aAnbes eivar 76 elzreiy Ori Suvarov pev Todt, OdK
éorat 5é (1047 4). Diodorus, with Aristotle, must have been attacking
thinkers who interpreted the possible so widely that the impossible
disappeared (1047) 5).
On Diodorus cf. also Ritter and Preller § 295, Zeller ii 1. 269.
The Megarian paradox was probably reached by a very simple
piece of reasoning, natural for followers of Parmenides, ‘ A thing is
what it is, and therefore cannot be-what-it-is-not’. The answer is
equally simple. A thing cannot be what it is not, but it can become
what it is not now. ‘Can’ refers always to the future, and it is
no contradiction to say that what a thing is not now it can be in the
future. ‘Can’ means that some of the conditions of the event are now
present, and that if certain others are added the event will take
piace
Aristotle’s answer, however, is more elaborate. His method is
to point out the disastrous consequences of the Megarian doctrine.
34. For ot7’ answered by épotws 8€ cf. De An. 4rob £8, 2%.
1047* 2. 700 ... mpdyporos must be the form which is the object of the
art in question, not as Alexander thinks the matter of the art; e.g. the
form of house, not the stones of which it is made.
3-4. Stov... AaBdv; The question is contained in ras AaBav ;
it is not necessary to supply was before érav as Bz. suggests.
6. tov Npwraydpou Aeyov, cf. T. 5, 6.
Q. kal ér dv, which has been suspected, is undoubtedly right. Cf,
An. Post. 74? 32 eri el tis pH olde viv éxwv Tov Adyor Kat coldpevos,
owlopevov TOU Tpdypyaros, pn ertdeAnopeévos, ovde mpoTEpoyv moet (a
reminiscence of Pl. Theaet. 163 D).
10. kal kwot is, of course, an afterthought ; the words need not be
©. 3. 1046 29 — 10478 30 245,
suspected, as they are by Bz, For a similar afterthought cf Z. 1028
16 n.
Theaet. 163 D).
10. kal kwot is, of course, an afterthought ; the words need not be
©. 3. 1046 29 — 10478 30 245,
suspected, as they are by Bz, For a similar afterthought cf Z. 1028
16 n.
10-29. In this whole section Aristotle passes from the word dvva-
cat to the more colourless word dwvardv. He is using the notion
of potentiality, not that of power, and thus confusing the two senses of
dvvayus which he proposed to keep distinct. Cf. 1045 35—10464 4n.
11. The reading of AP and Al., ytyvouevov, accords better than the
vulgate yevdjevoy with the principle dray evepyy povoy dvvacbau
1g. todto, that which neither is nor will be,
23-24. kat pi... Badtlew, The manuscript reading must be wrong,
since it says the same as has already been said in duvarov BadiZew ov
pn Badiew. The reading adopted is that proposed by Prof. Joachim.
The other emendations which involve less change are in themselves
less natural. Once Badiew got corrupted into BadiZorv, the corruption
of dv into efva: would naturally follow.
24-26. Considered as a definition of duvardv, this statement would
evidently be circular and therefore worthless. But it does not claim to
be a definition. It only amounts to saying that before you can pro-
nounce anything to be possible, you should satisfy yourself that none
of its consequences is impossible. It is a criterion for the determina-
tion of possibility in doubtful cases.
26. Suvatoy Kabijcbat Kai evdéxetor KabjoOa, Maier rightly points
out (Syl. d. Ar. i, 194) that Waitz’s distinction between dvvarev and
evdexduevov as indicating respectively physical and logical possibility is
inconsistent with the objectivity of Aristotle’s thought. Aristotle gives
the same criterion of the évdeyduevoy in An. Pr. 32° 18, Phys. 2431,
as he here gives for the duvardv, and in such passages as An. Pr. 19%
10, 13, 15, 21, An. Post. 74» 38 the two words are used as synonyms,
The only difference is that duvardv brings out more clearly than évdeyxo-
pevov that the possibility is rooted in a real dvvayis; the passages cited
by Waitz as indicating a difference between the two notions (@. 10472 20,
1049 13, 105013, N. 108819, An. Pr. 3158, De Caelo 274» 13,
G. A. 736» 7) imply no more difference than this.
30. 7 mpds Thy evtehexeray ouvTiBepévy. From 10504 22 rovvoja évep-
yeva Aeyerat Kata 7O Epyov Kal-cuvTeiver mpos THY évTehéxevay, it Appears
that strictly speaking évépyeva means activity or actualization while évre-
A€xeva means the resulting actuality or perfection. Yet évépyea is not
a movement towards something other than itself; this is the difference
between it and xivyous. For the most part Aristotle uses the words as
exact synonyms, Cf. Bz. dndex 253°46—254%12. Yet in A. 6, 7,
where God is viewed as the prime mover of the universe, He is called
évepyeta, activity, but in 8. 10747 36, where the immateriality and per-
fection of His being is insisted on, He is described as évreA€xera,
Bz. dndex 253°46—254%12. Yet in A. 6, 7,
where God is viewed as the prime mover of the universe, He is called
évepyeta, activity, but in 8. 10747 36, where the immateriality and per-
fection of His being is insisted on, He is described as évreA€xera,
One would expect évredéyea to be derived from an adjective
évredexys, AS vovvéexea is from vovvexys. But the existence of the
word évredexys in the time of Aristotle is doubtful. In Pl. Legg.
905 £3 the manuscripts read évreAeyds, but Stobaeus gives évdeArcxas,
which suits the context much better. In De Gen, ef Corr. 336% 17,
246 COMMENTARY
b 32 évredexds, evredexn, though read by some manuscripts, give no
suitable sense. In Theophr.,C. P. ii. 11. 10, Vv. I. 10 evredexes iS
unsuitable and Wimmer reads evdedexés. evtehexys Seems to occur
first in Philo 2. 587 Mangey. Hirzel, in Rhezn. Mus. 1884. 169-
208, put forward the view that Aristotle-in_one of his dialogues
ascribed to the soul, as Plato had done, évdeAdyeva, continuous move-
ment, and that he later invented the word évreAéyeca by a modification
of évdedéxeua in order to express the change in his view about
the soul. Diels, in Zestschr. fiir Vergl. Philol. x\vii. 200-3, success-
fully controverts this view, and shows that évreAeyys is a correctly
formed equivalent to 76 évreAés eXwv, ‘having perfection’. evredys,
though not found at all in Plato, and only once in Aristotle, is not
uncommon in Greek of the period. It is not necessary to suppose, as
Diels seems to do, that the word évreAexys existed in Aristotle’s time ; he
may have formed the abstract noun directly from ro évredés €xov or
possibly from évreAGs éxov. The only other compound of évredys
seems to be évreAdpuc bos, | Dem.] 1212. 12, ‘receiving pay in full’.
gl. ouvTiWenevn. Diels feels a difficulty about the word, and pro-
poses ovvrewopevy, Citing 1050? 23 asa parallel. But it is only in the
active voice that Aristotle uses ovrreivew in this sense. ovvrieuevn
implies that Aristotle was in the habit of connecting the words évépyeva
and évreAéxeva together in his lectures, and such phrases as «is ravrov
Baoiréa Kat ripavvov ovveGewev (Pl. Polit. 2768, cf. 259d) form
a close enough parallel.
kal émt 74 GAAa. The adda are not as Alexander says ra rexvyrd,
for évépyeva has no original reference to natural as opposed to artistic
activities. In fact Sivapus, with which it is correlative, is apy) pera-
Bodns év dry } GAXo (1046%11), which means art rather than
nature. émt ra dAAa refers to the non-kinetic meaning of evep-
Eto, which is best expressed i in the sentence deyerau évepyeia . . . Ta
pe ds Kivyous mpos Sivapw 74 8 ds odaia mpds twa Ernv 1048b 6-9 ;
évépyea, in this sense is not movement as opposed to the power to pro-
duce movement, but actuality as opposed to potentiality. Cf 2. V.
II 54b 27 évépyeua akwyotas.
32. Soxel, ‘is commonly thought’. Aristotle’s own view is that the
divine évépye.a dxurnoias is evepyeva. in the truest sense,
Cf 2. V.
II 54b 27 évépyeua akwyotas.
32. Soxel, ‘is commonly thought’. Aristotle’s own view is that the
divine évépye.a dxurnoias is evepyeva. in the truest sense,
34. KaTnyopias, ‘ predicates °, not ‘ categories’,
ToOTo dé... EvovTat évepyeiq, We refuse to say that they are
moved, because they do not exist actually; we say that they are
objects of thought or desire, because they zez// exist actually.
Possibility further considered (ch. 4).
10473. It cannot be true to say ‘this is capable of being but
will not be’ (this would imply that nothing is incapable of being).
.g. For it follows from our definition that if we suppose that to
©. 3. 10477 31 — 4. 104757 247
be which is not but is capable of being, nothing impossible is in-
volved. On the view we are attacking something impossible zs
involved. ‘The impossible is not the same as the false.
14. It is also clear that if, supposing A is, B must be, then if A
is possible, B must be possible; for otherwise there is nothing to
prevent its being impossible. Let A be possible. Then (we agreed)
nothing impossible is involved in supposing A actually to be; but
if so, B must be. But (cf. 1. 17) it was supposed impossible. Let it,
then, be impossible. If, then, B is impossible, A is impossible. But
B was supposed impossible, therefore A is so.
If A is possible, then, B must be possible, if they were so related
that if A is, B must be.
26. And if, supposing A is possible, B must be possible, then if
A is, B must be.
1047 3. The traditional text 29n.) dvvare advvatov py akodovbeiv.
A comparison of 1047» 9. with the phrase in the Kupuevwv, duvarov
“elvae 0 ovr eotw ddrnGes OUT éorou Suggests that Diodorus was borrow-
ing Aristotle’s language.
There is, however, no absolute need to depart from the well-
attested reading given in the~ text, which derives some support from
An. Pr. 32% 24 yrow tava, éorw 7 dxoXovbel ddAHAats.
5. dote ... Siapedyew. ‘So that the things that are incapable of
being would on this showing escape us.’ If we can truly say a thing
is possible but will never be, anything may at this rate be possible and
there will be nothing impossible.
7. & ph Noyrbspevos 7d d8uvartoy etvar may mean either ‘i.e. the sort
of man who does not take account of that which is incapable of being’
(L. and S. s.v. AoyiZouar 1. 1), or ‘i.e. the sort of man who does not
consider the impossible to exist’ (L. and S. mu. 2). In either case
there is a reference to wore Ta ddivara clvar TaiTH Siapedyew. The
Greek would be somewhat more natural without 6, but the word
is well attested. In any case the clause is parenthetical, and or ov0ev
«rX. gives the reason for duvarov .. . petpnOynoecOau.
248 COMMENTARY
10. Tov Keipevwv, What we have laid down in 4 24-26, » 3.
II. cupByoetar S€ ye, sc. ddvvardv TL.
14-26. The same point is proved in a not dissimilar way in Az. Pr,
34° 5-12,
248 COMMENTARY
10. Tov Keipevwv, What we have laid down in 4 24-26, » 3.
II. cupByoetar S€ ye, sc. ddvvardv TL.
14-26. The same point is proved in a not dissimilar way in Az. Pr,
34° 5-12,
15. The reading of EJA?, 8uvarod dvtos-etvoar tod A, clearly ought
to be restored here. =
1g. 7d S€ ye B dvd-yxn etvar krd., ‘but ex hypothesi (cf. Il. 14, 15) if
A is, B must be. But it was assumed, on the view we are attacking,
that though A was possible B might be impossible’,
21. dvdyxy is an emblema from I, 20.
kal 75 A etvat, sc. advvaror.
24. obtws éxdvtwv tav AB, ‘A and B being so related (as they have
been shown to be) that if the reality of A implies the reality of B, the
possibility of A implies the possibility of B’,
25. otitws, sc. if A is possible.
26. as éré@y, i.e. so related that the reality of A does imply the
reality of B,
How potency is acquired, and actualized (ch. 5).
1047 gi. The potencies that come by practice or learning are
acquired by previous exercise ; those that are innate or are passive are
net.
35. Irrational potencies must result in action and being acted on
when the agent and the patient meet in the way appropriate to their
potency.
104887. Rational potencies need not so result; since they are
potencies for contrary results, if they were actualized necessarily they
would produce contrary results at the same time, which is impossible.
There must be something else that determines which result is to
take place; this will be desire or will. Whichever action the agent
decisively desires, that it will do, when it meets the patient in the
appropriate way.
15. Its potency is conditional on the patient’s being present and in
a certain state. (We need not add ‘and on the absence of external
hindrance’; that is implied by the positive conditions of the potency.)
21. The possibility of doing contraries at the same time is excluded,
even if one simultaneously wants to do them both.
1047 gr. Aristotle begins the chapter with a threefold classifica-
tion of dvvdeis, into those that are inborn, those acquired by habit,
and those acquired by learning, The latter two are then (1. 34)
coupled together and opposed to the first, Aristotle then (1048 2)
©. 4. 10472 1o— 5. 10484 24 249
reverts to the distinction stated in ch, 2 (chs, 3 and 4 on the Megarian
heresy have been something of a digression) between rational and
irrational powers, It is clear that he means to identify the inborn
powers with the irrational and to include éca: et as well as doa Adyw
under the rational, This implies that éos includes a certain amount
of Aoyos, or the possession of a plan of action, as indeed it does,
whether it be a comparatively mechanical dexterity such as that of rd
avdeiy (1. 32) or a moral character (Z. J, ii, 1) that is being acquired
by habituation.
32) or a moral character (Z. J, ii, 1) that is being acquired
by habituation.
33- Tas pev dvdykn mpoevepynoavtas exew. This apparent paradox
is explained in £.V, 1105? 17-18. (1) To become ‘ypapparuxds
you must have done ypapatixoy 7, but you need not have done it
ypappartikds, i.e. with knowledge. (2) In the moral sphere there is
a still greater difference between the activity that precedes the ééis and
that which flows from it, In the laiter the agent must act (a) with know-
ledge, (4) choosing the action, and. for its own sake, (c) being in a firm
and unchangeable condition of mind. The activities which establish the
eéis have not any of these characteristics. Aristotle does not, however,
show how actions done in ignorance and not from the right motive can
establish a ééis of acting with knowledge and from the right motive ; he
simply takes it from common experience that they do, A more
abstract explanation of the paradox is given in 1049>35—1050# 2.
It is characteristic of all yéveous that of what is coming into being
some part must have already come to be. Therefore he who is
learning must already have some of the knowledge in question ;
knowledge expands out of given knowledge.
34. Tas S€ py Toravtas kat tds él tod mdoxew, Alexander has
tas 8 dvev oyou duvdpers eire Tod evepyeiv cite Kal Tod wacxeww, and Bz.
conjectures that Alexander had a different reading from that in our
text. . But his words seem to be a paraphrase. ras avev Adyov duva-
pets Tod evepyety is a paraphrase of ras px rovavras and refers to
inborn irrational active powers, like the senses, already referred to in
]. 32. ras avev Adyou dvvapes ToD macxew is a paraphrase of tas ext
Tod macxewv and refers to inborn irrational passive powers like (to take
Alexander’s exampie) the power of wood to be cut. «ai is not, as
might be supposed, epexegetic, for the senses are not, in Aristotle’s
view, purely passive.
35. Tas em rod mdcxew. Cf. A. rorg* 26n.
1048 g. dote Ga mouoe Ta evaytia, sc. if the power must neces-
sarily act whenever agent and patient meet.
16. movety is clearly an emblema from 1. 15.
16-21. Td yop... eva is parenthetical; 910 ovd |. 21 connects with
os exer |. 14.
20. It seems better to take taéra (with Alexander) as object rather
than (with Bz.) as subject of dpa:petraz. With the latter interpretation
daipotr’ av would be rather more natural than ddaipetrau.
24, oUTws, sc. ds eore SVvapus.
250 COMMENTARY
Acruatity (chs. 6-9).
Actuality distinguished from potency and from motion (ch. 6).
1048225. We now pass fromthe potency relative to movement, to
actuality ; we shall at the same time discover another kind of potency,
which has really been the object of our search.
go. Actuality means the presence of a thing not potentially like
that of the Hermes in the block of wood, or of the half-line in the
whole, or of knowledge in the man who is not contemplating truth.
go. Actuality means the presence of a thing not potentially like
that of the Hermes in the block of wood, or of the half-line in the
whole, or of knowledge in the man who is not contemplating truth.
35. Our meaning can be seen by induction and analogy; definition
must not be always demanded. Actuality is to potency as the waking
to the sleeping, &c.
»6. It is related either as movement to potency or as substance to
matter.
g. Potency and actuality are different in the case of the infinite, the
void, and similar entities from what they are in the case of the seeing,
the walking, &c. The infinite does not exist potentially in the sense
that it will ever actually have separate existence; it exists potentially
only for knowledge. The fact that division does not cease implies
that the activity of division exists potentially, but not that the infinite
exists separately.
18. Since all actions which have a limit are means, not ends, they
are not really actions, or not complete ones; that in which the end is
present is an action.
2g. Thus at the same time one is seeing and has seen, is thinking
and has thought, is knowing and has known, but it is not true that one
at the same time is learning and has learnt, is being cured and has
been cured.
28. The latter are movements, the former activities or actualities,
Every movement is incomplete.
35. We have now explained the nature of actuality.
1048? 26, ecipytat, sc. in chs. 1-5.
26-27. ti té €or .. . kat moidy tt, cf. Z, 104126 n.
29. 7) GwAGs H TpdToy Tid, i.e. whether we admit all cases of move- -
ment or restrict power to cases of movement towards the better (A.
1019* 22) or of good or successful movement (1019 23, 10467 17).
33- 7H 8An, Sc. ypappp, cf. A. rorg@8n, Alexander's 77 duapérpw
is probably his interpretation of 77 oAy, not a variant reading.
35. To S€ evepyeia. This, the reading of most manuscripts, is a
highly elliptical expression for ‘ the opposite implied in each of these
©. 6. 10488 26 — 10488 261
33- 7H 8An, Sc. ypappp, cf. A. rorg@8n, Alexander's 77 duapérpw
is probably his interpretation of 77 oAy, not a variant reading.
35. To S€ evepyeia. This, the reading of most manuscripts, is a
highly elliptical expression for ‘ the opposite implied in each of these
©. 6. 10488 26 — 10488 261
cases (sc. the Hermes when carved out of the wood, the half-line when
the whole has been bisected, the man of science when actually thinking)
exists, we say, actually’. Editors have been, not unnaturally, offended
by the ellipse, and various conjectures have been made. (1) Schweg-
ler proposes to treat d7Aov .. . cvvopay as parenthetical and omit or
in 1. 37 with AP, so that the main clause runs 76 & évepyeiqa ws 70
oikodopodv kth. (2) Bullinger agrees, except that he reads 6 tu for dru.
The parenthesis beginning with d7Aov, however, is awkward, and so is
(as Cook Wilson points out) the separation of 76 dvddoyov from what
is naturally the exegesis of it, viz. ds 7d oixodopodv KtA. (3) Bz. pro-
poses to read ro 8’ évepyeia dfAov continuously, omitting dé after dpAov.
(4) It has occurred to me that possibly we might read dewpjoar r0d¢
evepyetg, With APT Ald. Cf. 6 Gewped 6 ypapparikds, rode TO dAda
adda M. 1084 20, 6d dn Gewpadv évtedrcxeia dv Kal KYpiws emioTdpevos
tooe TO A De An, 417% 28.
Finding none of these suggestions thoroughly convincing, I have
preferred to keep the vulgate reading 16 8 évepyeia, which by no means
goes beyond the limits of Aristotle’s love of compression. Cf. for
example De Gen. ef Corr. 319” 33 drav dé pydev bropevyn ov Oarepov
mdos 7) cvpBeBnKds ddruws, yéeveois, TO Sé POopd.
36. ob Set mavtds Gpoy {ytetv. A science should at the outset define
allits terms (Az. Post. 76" 32), but the same is not true of philosophy.
For definition must be by genus and differentia, but philosophy deals
with terms that are not included within any one genus but are common
to all being as such. Potency or actuality, like being, unity, and good,
is one only kar’ dvaAoyiav, and we must be content to grasp the analogy
and see the nature of the universal term by studying the instances of
it. It is beside the mark to criticize Aristotle for not succeeding in
defining terms like potentiality and actuality, or for bringing out the
nature of each by referring to the other.
b4. ds todro év TodTw answers tO as otcia mpds Twa vAnV |. 9; as
ToUTo ... Tpds TodTO tO ws Kivnots Tpds dvvapw.
It is beside the mark to criticize Aristotle for not succeeding in
defining terms like potentiality and actuality, or for bringing out the
nature of each by referring to the other.
b4. ds todro év TodTw answers tO as otcia mpds Twa vAnV |. 9; as
ToUTo ... Tpds TodTO tO ws Kivnots Tpds dvvapw.
8, Ta pev yap ds Kivnois mpds Sdvapiv. At one time Aristotle in-
cludes évépyea in xivnows (het. 1412%9); at another he includes
kivnois in évépyera (Phys. 201 31, De An. 4316, LE. NV. 1154? 27); at
another he speaks of the two as mutually exclusive (1048? 28). xivyous
is said to be an éevepyeia but dredjs (Phys. 201» 31), or to differ from
evépyeia because it is dreAns (104829). The variations of language
need not disturb us. «ivyows and évépyeia are species of something
wider for which Aristotle has no name, and for which he uses now the
name of one species, now that of the other. The difference is brought
out as well in ll. 18-35 as anywhere in Aristotle. To the test of an
évepyela, aS against a xivnows which he there offers, viz. that of an
activity we may say that we are doing it and have done it at the same
time, he adds in the £7Azcs another, that we cannot be said éevepyeiv
quickly or slowly, though we may be quick or slow in passing into the
state of évépye (11732). Cf. also K. 1065>14—1066%7, 10663
17-26 and notes.
252 COMMENTARY
g-17. On the infinite cf. PAys. iii, 4-8, esp. 6-8, on the void Phys.
iv. 6-9.
Aristotle’s views about the infinite are briefly as follows: Exten-
sion is not infinite except in the sense that it is inexhaustible, and it is
not inexhaustible except in the sense that it is. inexhaustible by one
particular method, that of division. If you take half of it, then a fourth,
: I : I ‘ :
and so on, or in general —of it, then — of it, and so on, you will never
4 n
exhaust it. But the same can be said of any finite part of space. If
y wiigh
on the other hand you take — of the whole of space, then ~ again; and
a n
so on, you wz// exhaust it if you go on long enough. Space is thus
dreipov Kata diaipecw but not xara mpdoobecw, infinitely divisible but
not infinite (206 7-13). Number on the other hand is deipov xara
apooGeow—not in the sense that an infinite number exists actually, but
in the sense that a number larger than any hitherto thought of
can be thought of; but it is not drepov xara Siaipeow, for in dividing it
we come ultimately to the unit, which limits number in the downward
direction. And its infinity does not persist but is always coming into
being. Time is infinite both card diacpeow and card tpdcGecw, both
infinitely divisible and infinite. But its infinity, like that of number,
does not persist but is always coming to be.
And its infinity does not persist but is always coming into
being. Time is infinite both card diacpeow and card tpdcGecw, both
infinitely divisible and infinite. But its infinity, like that of number,
does not persist but is always coming to be.
Aristotle does not in the PAysics explicitly make out any parallelism
between the infinite and the void: But his doctrine about the void
(Phys. 217% 21—» 28) is akin to his doctrine about the infinite ; it is that
though we can suppose matter rarer than any assigned matter, there is
no space in which there is no matter at all. Cf. his conception of the
dense and rare as stated in De Gen. ef Corr. 326” 31—327°1 (taken
with what precedes). There are no atoms and interspaces, no pores,
only a stuff varying intensively. Aristotle’s view of matter in this re-
spect has been compared by Prof. Joachim (ed. of De Gen. ef Corr. 124)
to Kant’s view of ‘ das Reale’ in the ‘ Anticipations of Perception’.
Q-I2. GAdws . . . dpwnevw. The construction of the sentence is
hardly possible as it stands in the manuscripts, and it may be that after
duvdmer kal évepyeca Something like ) brdpyerrd Suvdper Kal evepyeta May
have dropped out ; perhaps, however, it is sufficient to insert 7 and treat
the following datives as ethical datives used loosely as in the instances
quoted in Bz. Jndex 166 26-38, viz. An. Pr. 4329, An. Post,
82> 21, De Resp. 476° 18, G. A. 75512. For a somewhat similar
change of construction cf. A. 10248, 9.
15-17. A comparison ofthis with the previous sentence would suggest
that the subject is 76 elvar duvder tavryv rhv évépyeav. ‘The infinite
does not exist potentially in the sense that it will actually exist as an
independent (or objective) entity, but in the sense that it exists poten~
tially for knowledge. For the potential existence of this actuality
ensures that the process of division never comes to an end, but not
that the infinite exists independently.’ 7d pa) trodetrew Thy dialpeow
©, 6. 1048) 9-22 : 253
would then answer to yrvaoet, 76 etvar Suvdper tavrny Thy évépyeiay to
70 dmetpov Svvdper Eotw, Td xwpiLerOar to ds evepyeia eodpevov yuwpiorov.
But a comparison with Phys. 203» 23-25 dia yap 7d év TH vonoer pi
trodetrew Kai 6 apiOyos Soxel azreipos elvan Kal Ta pabnparika peyeOn
kat 70 €& Tov ovpavod Shows that 7d yy trodetrew THY Siaiperw is
viewed as the given fact which yields one conclusion (dodidwor) but
not another. Alexander is therefore right in taking 76 wy drodetrew
tiv diaipecw as the subject of both clauses; apart from the previous
sentence this gives rather a more natural meaning. In any case it
seems better to read ro Sd xwpigerfor with Alexander than r¢ dé
xwpilec$a. with the manuscripts. The sentence may be rendered thus:
‘ For the fact that the process of dividing never comes to an end ensures
that this activity (the activity of dividing without end) always exists
potentially, but not that the infinite exists as a finished given fact’,
with the manuscripts. The sentence may be rendered thus:
‘ For the fact that the process of dividing never comes to an end ensures
that this activity (the activity of dividing without end) always exists
potentially, but not that the infinite exists as a finished given fact’,
18-35. This passage occurs in most of the manuscripts (including
A>), and a paraphrase of it occurs in a good manuscript of Alexander
(F). It is omitted by EJTT and Bessarion, and is very corrupt in
the other manuscripts. But it contains sound Aristotelian doctrine
and terminology, and is quite appropriate to the context, and there is
no apparent motive for its introduction if it were spurious, so that on
the whole it seems safe to treat it as genuine. The text has been
vastly improved by Bz. On the distinction between kivyous and
evepyeva proper cf. |. 8n., K. 1065» 14—10662 7 n.
18-21. éwet 8€ tOv mpdgewy . . . obx ott Tada mpaéis. mpaéis is first
used in a general sense = xivnots, then in its stricter sense of xivnots
tela.
18. dy Eat: mépas is best explained by eda dv ore raverOa, |. 26.
Aristotle is speaking of actions Which have a limit set to them by the
fact that they aim at an end other than themselves, with the attain-
ment of which they come to a stop.
IQ. otov 16 icxvativey 4 icxvacia. The manuscript reading ofov rod
isxvatvew 4 ioyvacia aito cannot stand. airé cannot be interpreted
(as by Bz.) as réAos. Nor is it enough to excise atré (with Christ) as
due to dittography ; for icyvacia is not the end of 76 icyvaivew but the
same thing. It is named among the kwyoes drede’s in]. 29. The
end of 10 icxvaivew is icyvorns or, more remotely, tyiea (A. 1013? 1,
Phys.194” 36). I therefore follow Bywater’s suggestion and read ofov
70 ioxvaivew 7 icxvacia (sc. od TéAos eotly GAAG Tov TeEpl TO Tédos).
20. atta 8€ Otay ioxvaivy, ‘the parts of the body themselves, when
one is reducing their bulk’. aird is curious, and some corruption may
be suspected.
20-21. ottws...kivyots, ‘are in movement in this way, viz. not being
already that for the sake of which the movement is’. The construc-
tion of imdpyovra is very awkward, and perhaps we should with
Fonseca read trapydvrwy. wv would drop out easily by homoioteleuton.
22, 23. Bz.’s emendation ékeivy 7, and his omission of 4, are neces-
sary.
23. Bz. has emended this line successfully by the aid of De Sensu
254 COMMENTARY
4462 xal ei Grav Gua dxover kal axyKoe Kal 6Aws aicGavera Kal noOnrat,
and Soph. El. 178° 9 dp’ evdéxerat 76 adtd dua rovety Te Kal rerounKevat ;
ov. GAG pay dpav yé Te apa Kal éwpaxévar TO adtd Kat Kata TadTo
evoexerat.
has emended this line successfully by the aid of De Sensu
254 COMMENTARY
4462 xal ei Grav Gua dxover kal axyKoe Kal 6Aws aicGavera Kal noOnrat,
and Soph. El. 178° 9 dp’ evdéxerat 76 adtd dua rovety Te Kal rerounKevat ;
ov. GAG pay dpav yé Te apa Kal éwpaxévar TO adtd Kat Kata TadTo
evoexerat.
The manuscripts give épa@ GANG Kal dpovel Kal vod Kal vevonxer. Bz,
writes dpa dua xal édpaxe, Kal dpovel Kat redpdvyke, kal voet kal vevonker.
Fonseca had already conjectured édpaxe for dpove?, but that is much
less probable. Bywater, while accepting aya, thinks that the one per-
fect tense vevonxey is enough and that the others are ‘understood’.
But in the rest of the section Aristotle is careful to supply all the
perfects ; and in so corrupt a passage we may allow a greater freedom
of emendation than usual. I therefore follow Bz.
32, 33. It seems best to follow EJA? in reading kwetrat kal Kextvqtat
. . kwet Kal kekiynKey, and to put a comma after érepov. ‘It is not
the case that a thing at the same time is being moved and has been
moved; that which has been moved is different from that which is
being moved, and that which has moved from that which is moving.’
érepov is easily understood as the subject of cue? kal Kexivnxev.
35. Tl té éote kat motor, cf. Z. ro4r®6n.
When ts one thing the potency of another ? (ch. 7).
1048 37. When does a thing exist potentially? Earth is not
potentially a man till it has become seed, and perhaps not then, just
as not everything is capable of being healed, but only the potentially
healthy. .
1049? 5. (1) In artistic production one thing is said to be potentially
another if (2) when the artist wishes, the actualization takes place
if nothing external hinders, and if (4) nothing in the patient hinders ;
that is potentially a house, in which there is nothing to prevent
its becoming a house, and which needs no addition, subtraction,
or change; and so in all cases where the source of the actualization
is external.
13. (2) Where the source of the actualization is internal, one thing
is potentially another if when nothing external hinders, the actualization
takes place by the thing’s own nature. The seed is not yet potentially
a man; for it must first fall into a certain material and be changed, as
earth must become bronze in order to be potentially a statue.
18. When we say a thing is ‘of’ something else—as the casket is
of wood or wooden, and the wood is earthen, and the earth is perhaps
‘of’ something else—that which it is ‘of’ is potentially (in the un-
qualified sense) it; thus wood, not earth, is potentially a casket, is the
matter of a casket.
©. 6. 1048 32 — 7, 10499 5 255
24. If there is something that is not ‘of’ anything else, it is prime
matter, not being a ‘this’. Subjects or substrata differ by being or
not being ‘ thises’ ;
29. (1) what underlies accidental attributes like ‘ musical’ is a sub-
stance like ‘man’ (and he is called not music but musical, as the
casket is called wooden) ;
Subjects or substrata differ by being or
not being ‘ thises’ ;
29. (1) what underlies accidental attributes like ‘ musical’ is a sub-
stance like ‘man’ (and he is called not music but musical, as the
casket is called wooden) ;
34. but (2) where the predicate is a form or ‘this’, the ultimate
substratum is matter.
36. Itis natural that the ‘ of’ or derivative form should be used with
reference both to matter and to accidental attributes, for both are
indefinite.
Bz. argues that the insistence in this chapter on the fact that that
which is potentially X is the sum of the proximate, not of the remote
conditions of X, marks a difference between dvvapyis and vAy. vAn is
primarily applicable to zmpurn vAn, the remote and absolutely un-
formed matter ; dvvajus to the proximate conditions. This distinction
does not, however, seem to be intended by Aristotle, for in his dis-
cussion of matter he has similarly insisted on the importance of finding
the proximate matter of a thing (H. 10441). dAy and dvvayis are
constantly used without any trace of such a distinction (e. g. 1049* 23,
1o50°15, 627, A. 10712 10, N. 1088 1, 10g2* 3).
1049*2, dtov Hdyn yevytar omeppa. Aristotle is using omépya in
what is for him its proper sense, that of the spermatozoon or male ele-
ment in question, as opposed to ra. karapnyia, the ova or female element;
for |, 14 70 oréppa ovzrw (det yap ev ddAw Czreveiv) Kai peraBdArdev) must
refer to the entrance of the male element into the womb. But he is
not taking account of his own view that the oé¢pya forms no part of the
matter of the offspring but is its formal and efficient cause ; he writes as
if he accepted the popular view which treated the male and female
elements as uniting to form the matter of the offspring. He is merely
illustrating a general principle; and in such cases he often -writes
from the point of view of a common theory not his own. Cf. H.
1044) 17 n.
ob8€ téTe tows is explained in ll. 14, 15.
3-5. domep oby ... Suvduer. It would be possible to treat this as
the beginning of a long sentence, with the principal clause beginning
(irregularly) with kal dowv $y in 1. 13. Aristotle would then be illus-
trating natural production (II. 1-3, 13-17) by artificial (Il. 3-12). But
awomrep ovv occurs several times elliptically without any principal verb,
a principal clause like ovrws éye kai év rovrors being understood. Cf.
B. r000%r n, It seems best to take it so here.
5-18. Aristotle first states the dpos in the case of artistic produc-
tion, cf. 1. 12 dcwv ewbev 7% dpyn ths yevéeoews. Then in |. 13 he
passes to natural products, kal dowy O17 év aitd tO exovTe (Sc. Ti
yéveow), which are opposed to 76 dd diavoias. ‘The two types of pro-
256 COMMENTARY
5-18. Aristotle first states the dpos in the case of artistic produc-
tion, cf. 1. 12 dcwv ewbev 7% dpyn ths yevéeoews. Then in |. 13 he
passes to natural products, kal dowy O17 év aitd tO exovTe (Sc. Ti
yéveow), which are opposed to 76 dd diavoias. ‘The two types of pro-
256 COMMENTARY
duction, natural and artificial, have already been indicated in Il, 1-3,
3-5. Aristotle is evidently trying to determine the conditions under
which A may be said to be potentially B. In ar#ste production A,
the matter, has to be acted on by C, the artist, before it can become B,
the product. Thus the dpos in this case“is as.follows: A is potenti-
ally B when, if C wishes it and nothing external hinders, A becomes B,
and when, further, nothing in A hinders (Il. 5-8). This he illustrates
in detail in the case of the question ‘ What is potentially a house?’
(Il. 8-11), and finishes by saying that the same formulation applies to
all cases of artistic production (ll rr, 12). In ma/ural production
there is no artist involved; nature is an dpyi kwycews év aitd 7 ard.
Thus here the dpos is simply that A is potentially B when, if nothing
external hinders, A will of itself become B (ll. 13, 14). Thus the male
seed is not potentially a human being, for it has first to enter the
womb and be transformed; but the «ina thus produced is potentially
a human being.
Q. TovTw kat ty UAy. xa is clearly explicative.
10. For ovd€ where pde would be expected cf, I. 1053 18 n.
13. kat dow 8} év aitG TO exovte (sc. radra Suvdper A€yerar etvar),
Goa KTA.
14-15. Set yap... peraBddder, Alexander says de? yap év dhAw..
weve Kal petaBadAew. meoeiv may be simply Alexander’s interpreta-
tion, but it is difficult to suppose that some such verb can be ‘ under-
stood’ with év d\Aw, and accordingly wecety or some similar word
should be inserted in the text. Cf. ris pjrpas mpds 0 rime TO o7réppa,
HT, A. 583° 22.
Alexander takes 76 oréppa to be the seed of plants, but from I]. 1-3 it
appears that Aristotle has in view the male element in animal genera-
tion.
18-22. Aristotle now proceeds to give a linguistic test of the poten-
tial matter of a thing. If we say_y is a-en, x is the proximate matter
of y. The parenthetical example otov ... éxeivwov disturbs the con-
struction of the sentence, so that we get as subject éxeivo, which does
not refer to the same thing as 6, and we have éorw instead of etvat.
1g. éxetvivov, cf Z. 1033% 5-23.
20-21. wddw...ékeivivov. The construction is loose but intelligible.
‘ Again, earth will illustrate our point if it is similarly not something
else but o/something else (not x but «-e7),’
24-27. This is the nearest approach in Aristotle to the use of rpary
vAn in the sense of entirely formless matter. But even here it does
not mean that, but matter with the minimum of form. If there is no
material, x, out of which fire is made, so that it can be called x-en,
then fire is first matter, but it will still have the definite character of
fire. Cf. A. 101598 n.
But even here it does
not mean that, but matter with the minimum of form. If there is no
material, x, out of which fire is made, so that it can be called x-en,
then fire is first matter, but it will still have the definite character of
fire. Cf. A. 101598 n.
27. ot ré8e tt odca. The sentence must be interpreted in the light
of what follows in ll. 27-36. Aristotle there distinguishes the case in
which the substratum is a ‘this’ from that in which it is not. The
substratum of a zdfos is a ‘this’ or substance; the substratum of
©. 7. 104979 — 1049? 1 254
a substance is matter. An opposition is therefore wanted between tAy
and 76d tu Or ovata, and we should read od réd€ Tt odaoa OF od TddE TL
kal ovata.
28. Apelt must be right in reading xa’ of. Alexander, who reads
kaGoXov, has no reasonable explanation to give of it, and Bz, says ‘76
kafoXov cur h. 1. comparetur cum substrato, equidem non intelligo’,
With a6’ ob we get a good sense—‘ the subject or substratum (kad ex-
plicative) differs in different cases by being or not being a this’. For
dvadéper in this sense with a singular subject cf. A. 1016424, Meteor.
34124. xaddov was probably introduced by a copyist who thought
that ‘the subject and the substratum differ’ must mean that they
differ from one another (which would be absurd). But Aristotle would
almost certainly have expressed that by dvadéper rod troxeypevov. I
have found only two instances in Aristotle of the things which are
said to differ being coupled by kai (An. Pr. 57% 33, An. Post. 77% 14).
The distinction which is drawn in ]]. 29-36 occurs also in Z. 1038? 5,
H. 10449, and is there expressed as a difference not between the
substratum and something else but between two kinds of substratum.
What precedes xat 7d izoxeiyevov, then, must be a synonym of 70
broxeipevoy, and 7d Ka6’ od is exactly what we want. The same error
has been made by the manuscripts in I. 1007* 34 and in Sext. Emp.
721, 2 (Bekker).
The difference which Aristotle here points out is that between two
levels at which the cleavage between substratum and attributes may be
made. You may distinguish accidental attributes from their subject,
and in this case the subject is a substratum containing certain essential
characteristics ; or again you may distinguish the essential charac-
teristics from the substratum to which they belong, and in this case
the substratum is bare unqualified matter.
35. For the description of the form as 168 tu cf. A. t017) 25 n.
36- 2. kat dp0Gs ...ddpiota. Aristotle is struck by the fact that
we not only (1), if A is the matter of B, describe B by an adjective
derived from the name of A, but also (2), if C is an accidental attri-
bute of D, describe D by an adjective derived (as he suggests) from
the name of C. This coincidence is, he thinks, natural, because A,
dAn, and C, a6, are both indefinite.
This coincidence is, he thinks, natural, because A,
dAn, and C, a6, are both indefinite.
Aristotle often, as here, says that we describe things rapwvvpws by
words derived from the names of qualities. Cf. Ca¢. 1812, 613,
10% 28, Zop. 111° 33-4. He can hardly have thought that the word
Aevxdv was derived from the word Aevkdrns. What he means rather is
that when we say a man is white we are not saying that he is a certain
entity, but that he is qualified by the possession of a certain entity,
whiteness. ‘ White’, though linguistically simpler and earlier than
‘ whiteness ’, stands for a more complex meaning, viz. ‘ qualified by
whiteness ’, just as ‘ wooden’ stands for a more complex meaning than
‘wood’.
by. What is the meaning of saying that both vAy and wd6y are in-
definite? Matter is 76 ddpucrov piv dpicOjvar Kal peracyeiy 29-32, and even (2) does not exactly corre-
spond to it. For (2) could only show that the potentiality needs,
for its actuahzation, another actuality, whereas what Aristotle claims
in ll. 29-32 is that it presupposes, as a condition of its exzstence,
another actuality. At first sight it looks as if there were the same
confusion as seems to exist at ]. 24. But Aristotle’s meaning is
that though a bare dvvapus of building may exist in a man before he
has done any building, such a man is not an oixodduos. Being
an oikoddpos is not a bare dvvayus but a egis, and this presupposes
evepyeto.. ;
35- Add introduces Aristotle’s answer to the sophistical objection,
and should, as Bz. saw, have a full stop before it.
Being
an oikoddpos is not a bare dvvayus but a egis, and this presupposes
evepyeto.. ;
35- Add introduces Aristotle’s answer to the sophistical objection,
and should, as Bz. saw, have a full stop before it.
36. ev tots wept Kwyoews. For this asa mode of reference to the
last half of the Physzcs, cf. De Caelo 272° 30, 275 21, 299% 10, De Gen.
et Corr. 318% 3, De Sensu 44519. The particular reference here is
to vi. 6. The proof there is as follows: ‘That which moves must
move in every part of the time which is the immediate or proper
time of the movement. For if it moved only in some part of the
time, that part would be the immediate or proper time of the move-
ment. Now if a thing has moved a certain distance in a certain time,
a thing which began to move at the same time and moved at the same
speed must have moved half the distance in half the time. ‘Therefore the
original thing must have moved half the distance in half the time. There-
fore that which is moving must have moved. Further (an alternative
proof, 237% 3-11) it must have moved in each part of the time during
which it has been moving. Therefore, since time is infinitely divisible,
everything that is changing must have undergone an infinite number of
changes. Further (an alternative proof, 2374 11-17) that which changes
continuously must either change or have changed év érwodv (237214:
one must not say ‘in each part of the time’, for the moment, which
Aristotle proceeds to speak about, is not a part but a section (roy) of
the time). Now it cannot change ina moment. Therefore it must
have changed at each moment, and must therefore have undergone an
infinite number of changes, sincé there is an infinite number of moments
in anytime’. So far Aristotle has said that the thing which is moving
must have moved, not, what he says in the present passage, that a part
of it must have moved. But he goes on to draw this distinction in
the case of yéveois, though not of kivyows generally (237>11; the
passage 2372 17— 9 may be omitted). ‘A house which is coming into
being has not already come into being; but its foundations have.’
The distinction drawn in the Physics seems to be due to an am-
biguity in the word yéyove. It would be absurd to say that what is
coming into being must have come into being; and Aristotle there-
fore contents himself with saying that a part of it must have come
into being. But what really answers to the phrase ‘what is moving
must have moved’ is ‘what is coming into being must have Jdcen
coming into being’ (for ‘has come into being’ implies a completion
262 COMMENTARY
which ‘has moved’ does not), and here no distinction between part
and whole need be introduced. Aristotle in the present passage
unnecessarily introduces in the case of movement the distinction which
in the Physics is drawn only in the case of becoming.
Aristotle in the present passage
unnecessarily introduces in the case of movement the distinction which
in the Physics is drawn only in the case of becoming.
Aristotle’s application here of the thesis established in the Physics
is as follows: It will follow that if an émurrypn is coming into being,
part of it must have already come into being. Thus the sophistical
objection, that if the Suvames pera Adyou are acquired by évépyea
a man who has not yet acquired an art must yet be supposed
capable of acting artistically, is met by the answer that he has the
art to some extent. In other words the faculty is not produced by
actuality but transformed into actuality by it. This brings the fact in
question under the general principle é« rod duvdme dvros ylyverae 76
evepyela. Ov bd évepyeia dvros (1. 24), but it really gives up what Aris-
totle is trying to prove, that actuality precedes potentiality in time.
There is the same confusion which we have observed in the note on
Il. 24-25.
1050* 4-b 2. What Aristotle tries to prove in this section is that
actuality is prior to potentiality in substance, i.e. is more real or
more substantial. ‘The general principle on which he bases his proof
is that what is posterior in generation is prior in form and reality.
More definitely, actuality is prior in reality because the actually
existent has reached its form while the potentially existent has not.
The potentially existent or undeveloped has features unintelligible
in themselves, which can be understood only as the prophecy of attri-
butes which will be found in it when developed. It still lacks part
of its nature; it is matter without form, and therefore not primary
substance.
4. At first sight it seems inconsistent to maintain (1) that
actuality is prior to potentiality in genesis (1. 3), (2) that it is prior
in substance because it is posterior in genesis (1. 4). But with the
qualifications with which Aristotle makes these statements (in the whole
context) they are quite compatible.
7-10. The reasoning is somewhat complicated:
(1) The rédos of a yryvopevor is its dpxy, its origin (that this is the
underlying meaning of ém dpynv Badier.. . kat TédAos, ‘moves to an
&pxn Which is its 7éXos’, is shown by the fact that Aristotle subjoins a
proof that the rédos is the dpyy, viz.:
The ob évexa is the apy7.
The réAos is the ob evexa).
(2) The évépyea is the réAos.
Therefore (3) the évépyea is the dpyy, and therefore prior to the
dvvapus.
14. 7% dtu oddev Sdovrar Oewpety is excessively difficult, and one would
be tempted to regard it as a gloss (so Diels, according to the editor of
Bz.’s translation), if one saw what the gloss meant. Alexander's inter-
pretation implies that he had these words, except 6rv, of which his in-
terpretation (as distinct from the lemma) has no trace. This being so,
©. 8. 10507 4-19 263
Alexander's inter-
pretation implies that he had these words, except 6rv, of which his in-
terpretation (as distinct from the lemma) has no trace. This being so,
©. 8. 10507 4-19 263
it is possible (1) that we should omit dru as an intruder which has
come in from the next line, and take 7 as equivalent to «i d¢ py
(cf. Z. 1041 23, #. NW. 117017). For the intrusion of 6m cf. H.
1043° 34 n., Probl, 962°2. ‘They are not speculating, except in a
qualified sense of that word’ (speculating in the proper sense means
speculating for the sake of doing so, or of reaching the truth (cf. a.
993” 20, Pol. 1325 20)); ‘otherwise (if they are speculating in the
proper sense) they have no eed to speculate’ (sc. for the sake of
acquiring ewpyrixy, because in that case they must already have it).
(2) Alternatively we might read with E ovx 7 (odxé has replaced ody 7 in
good manuscriptsin Az, Post. 84> 8, #. VV. 1161* 1) and interpret ‘and
these are said to speculate in order to get the speculative faculty, not
in so far as they speculate but only in so far as they do so in a parti-
cular way, or because they have no craving to speculate (for its own
sake)’. Or (3) we might, besides reading ody 7, read 6 7 or dre for
ort. ‘And these speculate in order to get the speculative faculty, not in
so far as they speculate, but only in so far as they speculate in a parti-
cular way, or about subjects about which’ (or ‘at a time at which’)
‘they have no craving to speculate,’
Apelt’s dA 7) dd¢, dre od dvvavrar Oewpety is not very probable.
16-17. dpotws Sé... Tédos. ‘And so too in all other cases, even
those in which the end is a movement’. Aristotle has said that matter
exists potentially just because in certain circumstances it will proceed
into its formed state (efSos). But, he now says, the principle that
potentiality exists only in relation to a possible realization is equally
true when there is no matter to be impressed with a form, no
material object to be produced, but the end is a movement. The dis-
tinction between these two cases (zroéyovs and mpagis) runs through the
whole passage 2 15-} 2,
18. évepyodvta, sc. tov pabyryv.
1g. kal % pvots dpotws. Aristotle is thinking of such things as
sight (I. 24). Nature is content not when it has produced creatures
capable of sight but when it has exhibited them in full exercise of
the activity. ;
évepyodvta, sc. tov pabyryv.
1g. kal % pvots dpotws. Aristotle is thinking of such things as
sight (I. 24). Nature is content not when it has produced creatures
capable of sight but when it has exhibited them in full exercise of
the activity. ;
6 Navowvos éorai “Eppyjs. Alexander tells us that Pauson made
a Hermes about which it was hard to say whether it was carved in the
ordinary way on the surface of a stone, or enclosed in a transparent
substance. ‘How could it be “ without”, when the surface looked
perfectly smooth like that of a mirror, or “ within”, when the surface
showed no trace of joinings?’ This account is, however, certainly
wrong. In the first place Pauson was not a sculptor but a painter,
and in the second place the kind of sculpture Alexander mentions
is not known and is most improbable. Pauson was apparently ad-
dicted to trick pictures. Cf. the story told by Ps.-Luc. (Demosth.
Encom. 24), Aelian (Var. Hist. xiv. 15), and Plutarch (de Pythiae
Orac. 5. 3968) of his picture of a horse running, which by being
turned upside down was made to represent a horse rolling on its back.
Professor Percy Gardner suggests that the Hermes may have been
264 COMMENTARY
a tricky painting, which deceived the eye somewhat in the manner of
those in the Wiertz Gallery at Brussels, which stand out, apparently,
in high relief from the canvas.
20. ci gow 4 egw, i.e. whether the knowledge has been absorbed by
the pupil or has remained ‘outside’ him. ~~~
22-23. 8d... evtedexerav. Because the épyov is the réAos (1. 21),
the word évépyeia, which is derived from épyov, tends to mean the same
as évreAdyeua. Cf. 1047% 30 n.
27. év0a pév refers to cases like seeing, ev0a 8€ to cases like
building.
28-29. 7 yap oikoddpnats...oixia gives the justification for évOa de
paAXov tédos THs Suvdpeds eorw. The actuality is more of an end
than the potentiality, for it resides in the épyov, and comes into being,
and exists, simultaneously with the épyov, which is the end in the strict
sense; while the potentiality does not reside in the épyov, exists before
the épyov, and can exist after the épyov has perished.
4 yap oixoddpnors év TO oikodopoupévw. The point of éy in this and
the following lines is this: an activity like building, or like seeing, is
evidently not a troxeipevor, but év troKepevy ; it requires a substratum.
Now a zotyous like building is the actuality both of the builder and
of the house (Phys. 2024 13-16), and resides, ina sense, in both. But
that in which it most properly and directly resides is that which exactly
answers to it, which comes into being with it and exists simultaneously
with it. This is obviously the house rather than the builder. In the
case of a mpaégis like seeing, on the other hand (1. 34), there is no
ee épyov, and the actuality must be said to reside in the évepyody
itself.
This is obviously the house rather than the builder. In the
case of a mpaégis like seeing, on the other hand (1. 34), there is no
ee épyov, and the actuality must be said to reside in the évepyody
itself.
ba. The reference to eidapovia is a digression. Aristotle points
out, as against a materialistic view, that happiness is in the soul, is
an activity of it, and therefore does not depend primarily on the goods
of the body, nor on external goods (cf. Z. JV. 1098» 12-22).
2-3. dote davepdv ... éotv. This follows not from what directly
precedes but from the whole section # 4-2. For the language cf.
os san 05
4. dotep eimopev, 1049>17-29. That passage, however, contained
no explicit reference to the grzmum movens. For the doctrine cf.
A. 6, 4.
6. adAd phy Kai Kupiwrépws, sc. mpdrepov TH ovoia evépyera Suvdpmews
(I. 3). The new argument is:—
The eternal is prior in substance to the perishable (assumed here,
but cf. B. 9995, Z. 1032 30, A. 6, 7).
Eternal things exist actually, perishable things potentially (proved
in Jl. 8-18; 1, 18—10512 state corollaries of this, which form a
digression).
Therefore the actual is prior to the potential.
Therefore (on the principle that what belongs to the better is better
than what belongs to the worse, Zop. 116” 12) activity is prior to
potentiality.
GT, ALBERT’S BOLL ECE | /22
©. 8. 1050? 20 — 1050? 30 dee
It is not obvious why this is priority 77 odcéa in a more proper
sense (xvpiwrépws) than those already mentioned. But in A. ro1g? 11
Aristotle has said that all the senses of prior and posterior may be
reduced to that which is stated in ro19*2; ‘those things are prior
in nature and substance which can exist without others while the others
cannot exist without them’. Now the eternal can exist without the
perishable and the perishable cannot exist without the eternal, and
though Aristotle does not explicitly put the matter in this way (ex-
cept incidentally in 1. 19), it seems that this is the ‘stricter’ sense
of ‘prior in substance’ which he has in mind.
7. €or 8 obey Suvduer atSiov. The most obvious rendering would
be ‘nothing is potentially eternal’, but from |. 16 it appears that didov
goes closely with ot6év, ‘nothing eternal exists potentially’. So Al.
591. 20.
8. maca Suvapis dpa tis dvtipdceds éotw. It is the peculiarity of
rational faculties to be able to produce either of two confraries
(10465); a knowledge of medicine enables a man either to cure or
to kill. But all potentialities are potentialities for either of two
contradictory results. ‘That which can under certain circumstances
become or do something can also, if those circumstances be absent, not
become or do it.
Q-II. Td pev... od0evi is merely preparatory; 16 Suvatdv .. . évep-
yetv is the emphatic clause.
11. On the difference between 8uvardy and évdexduevov cf. 1047?
26 n.
Q-II. Td pev... od0evi is merely preparatory; 16 Suvatdv .. . évep-
yetv is the emphatic clause.
11. On the difference between 8uvardy and évdexduevov cf. 1047?
26 n.
14. $9aptév, dwAds 7 TodTo adtd & AdyeTar evBéxeoOar ph eivar.
‘ Perishable either in the unqualified sense or in that precise respect in
which it is said to be capable of not being.’ A thing is ‘ perishable’
if it can lose its essence ; ‘locally perishable’ if it can change its place;
‘quantitatively perishable’ if it can change its size; ‘ qualitatively
perishable’ if it can change its quality.
IQ. Kaito tadta mpdta is the minor premise of the syllogism:
Things existing of necessity do not exist potentially.
The primary things are the things that exist of necessity.
(Therefore the primary things do not exist potentially.
Therefore actuality is prior to potentiality.)
21. obk €or. ... mot. Ie. it is necessarily moved, but while moving
from A to B it may be capable of moving from B to C.
23. & hoBodvrar ot wept pucews. Alexander says the reference is to
Empedocles, and this is confirmed by De Caelo 284% 24 otre di) Totrov
Tov tTpdrov troAnrTéov, ote Sia Tiv Sivnow OdtToves TvyxavovTa (Tov
ovpavov) hopas Tis oikeias poris ere cdlecbar tocodrov xpdvov, Kabdzrep
*Byredoxdyjs pyoiv. Aristotle compares Empedocles’ view to the
traditional belief in the necessity of an Atlas to hold up the heavens.
There is nothing about this in the remaining fragments of Empe-
docles.
30. KaQ aird...xivqow. It is doubtful whether this refers to the
natural movement of fire upwards, and of earth downwards, or to the
ie ©
266 COMMENTARY
constant tendency of the elements to change into one another, by virtue
of which Aristotle says (De Gen. et Corr. 337% 1-7) they imitate the
circular movement of the heavenly bodies.
30-33. Aristotle repeats here the general statement (cf. 1. 8) that all
potentialities are potentialities for either of two contradictories. He
then subdivides. (1) Things which in virtue of a Aéyos can act in one
way can also act in the contrary way (2 68/ = ‘to move not thus’,
not ‘not to move thus’). (2) Irrational potentialities are potentiali-
ties for either of two contradictories according as they are present
or not.
Thus under (2) Aristotle is not referring to the sense explained above
(ll. 8-12) in which potentialities are potentialities for either of two
contradictories according as certain conditions are present or not
(Alexander interprets it so, but the Greek will not bear this interpre-
tation), but is saying that they are potentialities for either of two con-
tradictory results according as they themselves are present or not.
This at first sight seems pointless. But in PAys. 251231 Aristotle
says that there is something in physical things akin to the con-
trary actualizations of a ‘rational power’, 7d yap wWuxpdv Oeppatver
otpapév mws kat dmeAOov. That which is cold is capable of be-
coming hot, and shen of heating other things. This seems to be the
meaning here.
251231 Aristotle
says that there is something in physical things akin to the con-
trary actualizations of a ‘rational power’, 7d yap wWuxpdv Oeppatver
otpapév mws kat dmeAOov. That which is cold is capable of be-
coming hot, and shen of heating other things. This seems to be the
meaning here.
30. ai dé Gddar Suvdpers, because Aristotle has been speaking of
things which are in some respect tainted with dvvapus, e. g.in respect of
their position in space (cf. Il. 17, 18), though in other respects existing
in actuality.
gl. é§ dv Sidpiotar. The statement is a general one about ai aAdau
dvvdpes aca, so that the reference is probably not to the distinction
of rational from irrational powers as being rév évavtiwy ai avrat
(1046” 4, 104848), but to the discussion of potentialities in ro50?
8-12.
35. ot év Tots Adyots, ‘the people who occupy themselves with verbal
discussions’. Cf. A, 987» 31 n.
36—1051° 2. atts émorypy is the faculty of knowledge itself, apart
from particular manifestations, and as such inferior to the activity of
knowledge.
I05I° 3. Kal Suvdpews Kal mdons dpxfs petaBAntiis, cf. 1049 6.
Miscellaneous remarks about potency and actuality (ch. 9).
105124. A good actuality is better than the good potency. For
capacity for one thing is always capacity for the opposite, and is so at
the same time (though the opposites cannot exist at the same time),
and therefore is both good and bad, or neither.
@. 8. 1050 30— 9. 1051%15 264
15. Similarly a bad actuality is worse than the potency, and posterior
to it, and therefore evil cannot be an actual substance existing apart
from bad things. Therefore among eternal things there is nothing
evil,
21, Geometrical relations are discovered by actualization, i.e. by
dividing the given figures by lines that before existed potentially. Cf.
the proof that the angles of a triangle = two right angles, or that the
angle in a semicircle is a right angle. What exists potentially is dis-
covered by being actualized. The reason is that the geometer’s thinking
is an actuality. Thus potency comes from actuality (and therefore the
knowledge comes by action), though the actuality is later in genesis
than its own potency.
What exists potentially is dis-
covered by being actualized. The reason is that the geometer’s thinking
is an actuality. Thus potency comes from actuality (and therefore the
knowledge comes by action), though the actuality is later in genesis
than its own potency.
IO51° 5. doa yap Kata 7d Sdvac0ar Adyerar, TavTov éotr Suvardv Ta-
vavtia, Aristotle’s strict doctrine seems to be that while rational
duvders Can produce contrary results, irrational dvvayes are only
duvdpets of contradictories, (1) in the sense that they may either be
actualized or not (10508 n.), and (2) in the sense that their
presence leads to one result and their absence to the contradictory
result (1050? 33 and note on 1050? 30-33). He here says all duvdpers
are duvdpeus Of contraries. ‘The apparent contradiction between the
present passage and 10465, 10488 is due to the fact that in the
former passages he was thinking of duvdmes Kara THY Kivnow, positive
powers or forces, while here he is thinking of mere potentialities. For
the difference cf. 1045” 35-1046% 4n. That which can produce health
(e. g. wholesome food) cannot produce sickness, but that which can be
healthy can also be sick.
7. Bz.’s conjecture in the Odservaizones, kat rs vooelv (sc. Sivacbax
Aeyopevov), is obviously better than his actual reading, cat vooeiv.
II, 12. ‘But contraries cannot belong to a thing at the same time,
and (therefore) the actualizations also cannot belong to it at the same
time.’ |
13-15. dot dvdyxn ...Bedtiwy. The reasoning is not very clearly
expressed but seems to be as follows: ‘To be capable of A is to be
also capable of its contrary B. Therefore, while what is good (in the
sphere of a particular dvvapus and the corresponding évépyevor) must be
one of the contrary évépyeo, the dvvayis must be said either to be both
good and bad or to be neither ; therefore the good actuality must be
better than the dvvayis’. rtovtwv Odrepov 13-22) is quite different from Euclid’s. (2)
Aristotle is not using technical language (cf. dvjjxro |. 25); dp67 is used
in its ordinary sense of ‘upright’. The translation is ‘ the line set up-
right on the base from the middle of the base’.
rtovtwv Odrepov 13-22) is quite different from Euclid’s. (2)
Aristotle is not using technical language (cf. dvjjxro |. 25); dp67 is used
in its ordinary sense of ‘upright’. The translation is ‘ the line set up-
right on the base from the middle of the base’.
28. iSdvre Sidov' 7G éxetvo eidérr. - ‘ The proof is evident, when he
sees the figure, to him who knows the former proposition.’ What is
‘the former proposition’? (a) Alexander says it is ‘ that if the three
straight lines are equal, the angle in the semicircle will be proved to be
right’. But this would amount to saying ‘if Z is JZ, then that JV is
P is clear to him who knows that if Z is JZ, Vis P’, which is an im-
probably clumsy way of stating a very simple thought. (0) ékeivo
may be simply éru toa tpeis, 4 Te Baous S00 Kal 7 éx péecov érictabeioa
6p0y. But (c) éxeivo would naturally refer to something more remote.
It refers in fact to the proposition stated in ll. 24-26, that the angles
of a triangle = two right angles. Cf. An. Post. 71219 dru pev yap av
tplywvov exer Svatv dpbais icas, mpoyder dry dé Téd€ 76 ev TO HyuKvKAlp
tplywvov éorw, dpa. eraydpevos éyvaopurer.
29-33. The interpretation of this passage is complicated by two
242 COMMENTARY
questions of reading. (1) In ]. 30 EJ and apparently Alexander
(dywv 597- 14, dyerat 597. 16) read dydmeva where the other manu-
scripts have dvayoueva. Now a philosopher might be said ra duvdper
évra eis évépyeav dvdyew (‘refer back’) when he shows as Aristotle
does here that the actuality is the przzs of the potentiality. Cf. 2. lV.
1170* 16 7d Se Liv Spiovrar rots Cwors dvvaper aicOjnoews, avOpwrois &
aicbjoews 7) vonoews’ 7 Se Svvayus cis THY évépyeav avdyetar, TO Be
Kipuov év TH evepyeia’ Eouxe O1) TO Chv elvar Kupiws 76 aicOdverOar 7) voeiv.
I113°5 waverau yap exaotos Lyrav wis mpage, Stay eis abrov dvaydyn
Thy apxjv. 19 et de radra paiverar Kal px exomev cis GAAaS apxas
dvayayeiv mapa Tas ev qpiv, Gv Kal ai dpxat ev Huiv, Kal avra. ed’ Hutv
kat éxovova. But the operation here described is that of the mathema-
tictan ; the sense required is ‘ the constructions which exist potentially
are discovered by being actualized’ (perducta ad actum potentia, Bz.),
and this sense demands dydmeva. Cf. Z. NM. 1153°12 rav els tHv
Tedeiwow ayomevov THS PITEWS.
But the operation here described is that of the mathema-
tictan ; the sense required is ‘ the constructions which exist potentially
are discovered by being actualized’ (perducta ad actum potentia, Bz.),
and this sense demands dydmeva. Cf. Z. NM. 1153°12 rav els tHv
Tedeiwow ayomevov THS PITEWS.
(2) The manuscript reading airiov 8& ori vonow 4 évépyera is diffi-
cult. ‘The potentially existing constructions are discovered by being
brought into actuality; the reason is that the actuality is an act of
thought.’ This identifies the actuality of the figure with the actuality
of thought, while ll. 32, 33 seem to distinguish them. Aristotle has
committed himself to the view that vdénous actualizes the figures, but it is
doubtful whether he would identify the actuality of the figures with the
vonots. True, ro voovpevov and 6 voids are identical in the case of dca
ph tAnv exer (A. 107573, cf. De An. 43073). But mathematical
objects do contain vA, even if it be vont vAyn (Z. 103611, » 35,
K. 105915). They are not the pure forms which alone Aristotle
identifies with the apprehension of them.
Nor does the manuscript reading seem to be that of Alexander, though
it is impossible to say exactly what lies behind his words: gavepdv dpa
ote Suvdper dvta Kal évepyyjoas rept ata 6 vods ebpicketar’ adtos yap
eorw 6 aitis 6 dywv atta eis evepyeay. voyows 7 evepyera may have
arisen from 7 voyous evéepyeia (cf. A. 10726 16), which goes well with
what precedes and what follows: ‘the potentially existing constructions
are discovered by being actualized; and the explanation is that the
geometer’s thinking is an actuality, so that the potentiality pro-
ceeds from an actuality, and therefore it is by doing that people come
to know’ (or ‘by making constructions that people come to know
them’).
Aristotle, then, brings the case under his general rule é« rod duvaet
dvros yiyverar TO evepyeia dv bd evepyeia dvros (1049 24); the poten-
tial constructions are actualized by the actuality of thought. And as,
before, Aristotle drew from the necessity of an actuality for the
actualization of a potentiality the inference that actuality is prior to
potentiality (1049" 23), so he does here in the words dor’ é evepyeias
» Svvapus (unless airiov... évépyea is parenthetical and ectpicxerat,
not yiyvera, is to be understood with éé évepyeias 4 Svvayus). atriov
dé éore vonows H évepye’a may also be suggested ; this comes nearer to
gT. ALBERT'S COLLEGE LIBRARY
@. 9. 10518 32-33 273
Alexander’s paraphrase. For confusion between éoré and dr due to
tachygraphy cf. Bast 810.
atriov
dé éore vonows H évepye’a may also be suggested ; this comes nearer to
gT. ALBERT'S COLLEGE LIBRARY
@. 9. 10518 32-33 273
Alexander’s paraphrase. For confusion between éoré and dr due to
tachygraphy cf. Bast 810.
32-33. Aristotle has said that potentiality comes from actuality ; he
now guards against misinterpretation. ‘But it is only in a sense that
actuality is prior to potentiality, for the individual actuality is posterior
in generation to the corresponding individual potentiality” Cf.
104919. In his view, the potentiality of the construction presupposes
the activity of thought but precedes the actuality of the construction.
For a similar elliptical use of ydp cf. Zop. 11927, 122> 39, De An,
407% 23, 409224. The emendation of]. 30 gives point to this clause,
which Bz. found unintelligible.
We are now in a position to see the object of the whole passage
ll. 21-33. Aristotle’s purpose is to enforce his doctrine of the priority
of actuality by two considerations with regard to 7a wabnparicd. (1)
It is only by being actualized that they are known. In their case
therefore, as in all others (1049 17), actuality is prior to potentiality
tH yvdoe. And (2), as in all other cases (1049> 17—1050® 3), though
their potentiality precedes their actuality in time, it presupposes
another actuality, that of apprehension.
The passage is of great importance because it emphasizes the
significance of the intuition of the construction for the understanding
of the proof (idovru d7Aor, ll. 26, 28). It thus corrects Aristotle’s ten-
dency in the Organon to treat mathematical proof as if it were simply
a process of deducing conclusions syllogistically from definitions and
trobéces, and anticipates Kant’s doctrine of the synthetic nature of
mathematical procedure. But it cannot be said that Aristotle works
this out clearly.
The nature of truth (ch. 10). ”
1051* 34. ‘Being’ and ‘ not being’ are used with reference (1) to
the categories, (2) to potency and actuality, (3) to truth and falsity.
Truth means thinking that to be divided or united which is divided or
united, respectively; error means being in a state contrary to the
facts.
b5. When is truth present? You are not white because we truly
think you are, but v7ce versa.
g. (1) Some things are always united, others always divided, others
may be either. Being is being-united ; not being is not-being-united.
About things which may be either united or divided the same opinion
is at different times false and true; not so with regard to things that
must be as they are.
17. (2) In the case of incomposites what is being and truth? For
them, being is not being-united, and truth cannot be what it was
in the case of composites.
2573.2 T
274 COMMENTARY
17. (2) In the case of incomposites what is being and truth? For
them, being is not being-united, and truth cannot be what it was
in the case of composites.
2573.2 T
274 COMMENTARY
22, (a) Truth in this case is contact and assertion (as distinct from
affirmation). Ignorance can only mean in this case non-contact ;
error is not possible (except per acczdens) regarding what a thing is or
an incomposite substance. Such substances all exist actually, not
potentially ; otherwise they would have come into being and perished,
but there is nothing out of which being itself can have come to be.
30. About all things that are essences and actualities, then, we
cannot err; either we know them or we do not. But we may inquire
what they are, whether they are such-and-such.
33. (2) The Jeng which answers to truth does not in this case mean
being united; if the thing exists at all it exists in a certain way,
Truth means knowing such objects; no error about them is possible,
but only ignorance—not, however, ignorance analogous to blindness,
which would be a complete absence of the knowing faculty.
1052* 4, (Return to(r)). Regarding the unchangeable, if we believe
it to be unchangeable, we cannot mistakenly suppose that it some-
times has a certain attribute and sometimes not; but we may suppose
one member of a class to have an attribute and another not. About
a single member we cannot make even this mistake ; whether we are
right or wrong, it is implied that the facts are eternal.
This chapter, dealing with truth and falsity, has little to do with the
rest of book @, which treats of potency and actuality. _Schwegler and
Christ therefore treat it as the work of an editor. Bz. and Bullinger
point out that in view of the enumeration of the senses of ‘ being’
in A. 7 it is only natural that after discussing the chief category, sub-
stance, and the distinction of potency and actuality, Aristotle should go
on to discuss truth and falsity ; and that the chapter is specially in
place here because ch. 8 has introduced us to the simple and eternal
substances which are évépyevau avev Suvdjews, and are now described as
the objects with which one kind of truth is concerned (1051 27),
Jaeger thinks that the chapter is by Aristotle, but was inserted here
simply because there was some room at the end of the roll on which
Z-®. 9 was written. Between this view and that of Bz. it is difficult
to decide ; that the chapter is the work of Aristotle there is no reason
to doubt; E. 1027428 has prepared us to find such a discussion
in the Metaphysics.
1051? 34-2. For the classification cf. A. 7, E. 10262 33-? 2.
85. To 8é KaTd Sdvayw 7 evépyerav toUTwy 7} Tdvavtia, i.e, being or
not-being may be divided not only according as it is the being (or not-
being) of (1) a substance, (2) a quality, (3) a quantity, &c., but also
may be further subdivided according as it is the being (or not-being)
(z) potentially or (2) actually of a substance, quality, &c.
br, rd Be [kupidrara 3] GdnPes 7} Weddos. Being as truth and not-
©. 10, 10518 34— 1051) 17 245
being as falsity are elsewhere treated as emphatically not the primary
or strictest senses of being and not-being (76 & otrws dv érepov dv Trav
kupiws, E. 1027) 31), but as being due merely to rs Siavoias ru 3d bos
(ib. 34) and presupposing being in its primary sense, that in which it
is subdivided into the categories (7 yap TO té eorw 7 dre rovov } dre
Togov 7 TL GAAO ovvdrrer 7 Sraiped ) Sidvo.a, ib. 31). Jaeger suggests
that Aristotle may mean merely that the copulative ‘is’ of the judge-
ment is the commonest usage of the verb ‘to be’, but it is improbable
that kupusrara dv should mean this. The words are probably a gloss,
or should go after pevy in 2 34. It will be seen that there is a good deal
of divergence among the manuscripts at this point.
If retained, xypustara dv must go with dAyGes 7 Weddos, ‘that which
is true or false in the most proper sense of those terms’, in contrast
to truth and falsity rept ra dovvOera, which Aristotle treats of later
(l. 17—1052°4). But it is highly unnatural to sever xupuitata dv
from 70 6éé.
2. todto 8 éml tOv Tpaypdtwy éoTl TA cuyKetoOat 7H SinpHoOat, ‘and
this depends, in the things’ (i. e. so far as the objects are concerned),
‘on their being united or divided’. The implied opposition is between
7a. Tpdypara, and 7 dd€a (1. 14).
II-13. To pev...etvat. This passage makes no use of the distinc-
tion drawn at the beginning of the sentence between things always
united, things always divided, and things capable of being either united
or divided. That distinction is first used in what follows, wept péev ody...
wevdn (13-17). Bessarion and Christ therefore treat ro wey... elvas as
parenthetical, while Bz. (following what may have been Alexander's
reading) inserts xa/ before 7d pév. It seems probable, however, that
grammatically 76 pev. . . etvar is the apodosis, though logically it only
prepares the way for what follows.
elvas as
parenthetical, while Bz. (following what may have been Alexander's
reading) inserts xa/ before 7d pév. It seems probable, however, that
grammatically 76 pev. . . etvar is the apodosis, though logically it only
prepares the way for what follows.
17—1052° 4. There is much obscurity in Aristotle’s references
to truth and falsity with regard to ra dotvOera, Ta drAG, 7d ddcaiperov.
In BE. 4 and De Ax. iii. 6, as well as here, it is contrasted with truth and
falsity with regard to composites, which is clearly truth and falsity of
propositions. Aristotle seems to reason as follows. What is true in
the ordinary sense is a judgement in which two things (a subject and
an attribute) are thought to be united which are united in reality, or
two things to be separated which are separated in reality. But if we
think of two things as united, must we not first think of each thing
by itself, and in this thinking is there not a possibility of truth and
of error? Aristotle’s strict theory is that there is not (I. 2, E. 1027” 19,
Cat, 2°8, De An. 430% 26); that the only alternatives are, to appre-
hend them or not to apprehend them. He says in this chapter
clearly enough that there can be no falsity with regard to them (I. 25),
but he does not say as clearly as he might that there can be no truth
either. That which could not possibly be false cannot without tauto-
logy, and therefore absurdity, be said to be true, just as ‘true know-
ledge’ is an absurd expression because there could not be false
knowledge. But instead of saying this he says that truth 2 another
T2
276 COMMENTARY
than the ordinary sense is possible with regard to incomposites (1. 24).
The fault, however, is only in the expression; the distinction is
probably clear enough in his ‘mind.
But what he means by dovvOera and the analogous expressions
is not equally clear. In the De Anzma, instead of discussing terms in
general as distinct from propositions, he discusses three kinds of
object which are dévaipera in quite another sense. (1) 76 Kata 7d
mocbv dd.aiperov evepyeia (430) 7-14), i.e. things like lines, which
though quantitatively divisible are not quantitatively divided. (2) 70
TO elder advaiperov (ib. 14-20), the zufima species, (3) 7d Kara 7d
rocov ddiaiperov Suvdper (430° 20-26), that which is quantitatively
indivisible, like points (or, we might add, moments). Of these
three only the second is relevant to the discussion of the present
passage, and unfortunately the few lines devoted to it are so obscure
and the text so doubtful that they need illumination rather than
afford it.
Of these
three only the second is relevant to the discussion of the present
passage, and unfortunately the few lines devoted to it are so obscure
and the text so doubtful that they need illumination rather than
afford it.
In the present passage Aristotle seems for the most part to be reason-
ing from the bare notion of an ‘incomposite’ as opposed to a ‘ com-
posite’, without asking himself very definitely what he means by
an ‘incomposite’. From the very fact that it is simple, it follows that
there cannot be truth or falsity about it of the same kind as truth or
falsity about composites. His primary meaning seems to be that
if you say A is B you must attach a definite meaning to your terms ;
you must know about A, and about B, ‘what it is’ (I. 25 f.). The
alternative to knowing what it is is not having a false opinion about
what it is, but simply not being ‘in touch’ with it at all. But from
this general position about the terms of any judgement Aristotle
passes to a point which he distinguishes from this (6uotws dé kal xrd.,
1.26). The terms of a judgement are, so far as their function in the
judgement goes, simple, but they may be in themselves complex
terms, and again they need not be substances, and if substances, they
need not be simple substances. ‘ White’, ‘incommensurate’, ‘ dia-
gonal’ are not substances; ‘wood’ is a substance concrete of form
and matter. What has been said of all terms with reference to their
place in judgement may be said without qualification of ‘incom-
posite substances’, the things which are free from any admixture
of potentiality and therefore eternal, which are pure forms (‘just what
it is to be something’) (Il. 26-31), i.e. God and the intelligences
which move the spheres.
20. Bywater proposed 16 Neukév (76) EUXov , ‘ the proposition that the
wood is white’, so as to get a phrase of the same form as 76 dovppetpov
tiv dudperpov, and the addition seems to be necessary.
23. Td pev adybes 7H edSos is answered by 70 dé eivai in 1. 33.
Truth and falsity as states of mind are discussed in Il. 23-33; ‘ being
in the sense of being true’ and ‘ not-being in the sense of being false’,
i.e. the objective counterparts of truth and falsity as states of mind,
are discussed in 1. 33-1052%1. 7d dAnOes is explained in ll. 24, 25;
instead of explaining what 7d weddos is in the case of incomposites,
@. 10. 1051) 20-25 277
Aristotle points out that there is no Weddos or dary with regard
to them but only dyvowa (1. 25).
24. Qyetv. The metaphor of contact in the description of simple
apprehension recurs in A. 107221. Its implications are (1) the
absence of any possibility of error, which characterizes the apprehen-
sion of the tdva aio Oyra. (cf. De An. 430” 29), (2) the apparent (though
on Aristotle’s view only apparent, De An. i. 11) absence of a medium
in the case of touch. 7d @yeiv means an apprehension which is
infallible and direct.
(cf. De An. 430” 29), (2) the apparent (though
on Aristotle’s view only apparent, De An. i. 11) absence of a medium
in the case of touch. 7d @yeiv means an apprehension which is
infallible and direct.
dvav does not seem to be used elsewhere by Aristotle as meaning
anything other than xaraddvor, but dois in the sense of the term
as opposed to the proposition occurs in De /né. 16? 27, 17% 17.
25. dmatnPivar yap mept 7d ti eotw odk eotw GAN’ 7 KaTa cupBEeBn-
xés. Alexander and Bz. interpret this as meaning that one cannot be
deceived about the ri éort unless by an abuse of the word dédry nescience
be called dary. This does not seem a possible meaning for card. cup PBe-
Byxos. The words must be interpreted in connexion with |. 32 dAAa 76
ri éote Cyretras rept adray, 38—12867 1 ev pe.
ey O€.
35-86. ‘ The other, if it is existent, exists so;, if it does not exist so,
it does not exist at all.’ I.e.as‘on the subjective side the only alterna-
tives here are apprehension and non-apprehension, so on the objective
side the only alternatives are being and not-being. We have not now
to do with the question whether A is thus, i.e. conjoined with B,
or otherwise, but simply with the question whether A is (in which case
it can only be A) or is not.
This interpretation is much to be preferred to that of Bz., who
deletes the comma after dv in 1. 35 and supposes the transition to
incomposites not to occur till 10521 «i d¢ pi ovrws. Christ’s eirep
dv ovTws, éorw gives no good sense.
Aristotle’s carelessness of language has made his meaning seem
more obscure than it really is. In ll. 22, 23 he distinguishes the two
modes of being (sc. of composites and of incomposites) from the
corresponding two senses in which apprehension of them may be said
to be true or false. He has treated the question of truth in ll. 23-33,
and in 33—105 2° 4 he is treating the question of being. But instead of
saying ‘the being of the object which answers to the truth of the
apprehension’ he says (I. 33) ‘the being in the sense of truth’; and
instead of saying that the composite is, if it is compounded, and
is not, if it is not compounded, he says (Il. 34, 35) that it is true if it is
compounded and false if it is not, and then complicates matters still
®. 10. 1051» 29 — 10524 10 279
further by recurring in 10524 1-4 to the question of the apprehension of
incomposites, which has already been treated in 1051» 23-33. It
would be easy to argue for a double recension, but Aristotle seems to
be often so careless of form that that hypothesis is not necessary.
1052* 1-4. With regard to incomposites there is not error but only
nescience, but Aristotle points out that it is not a nescience com-
parable to blindness, which necessarily shuts off the blind man from
knowledge of a whole set of facts. What would answer to this would
be a complete absence of the power of apprehending essences, but
what we have to do with here is simply failure to apprehend certain
particular essences.
What would answer to this would
be a complete absence of the power of apprehending essences, but
what we have to do with here is simply failure to apprehend certain
particular essences.
4-11. From the treatment of dovvGera Aristotle now recurs to
certain ovv@era, viz. ra. dxivyta, the things which if they ever have an
attribute have it always (i.e. those which det ovyxerras Kal ddvvara
SiaipeOjvar, 10519). About 7a dovvOera there can be no arary;
about those ovv@era which are dxivyra one form of azary is impossible,
provided that we realize that they are dxivnta. If we realize that
a triangle is axivyrov we cannot err by supposing that it sometimes
has and sometimes has not its angles = two right angles. It may,
however, be the case that some members of a class of dxivynta have
a certain attribute and others have not, so that one might suppose
either (wrongly) that no even number is prime, or (rightly) that one
(the number two) is prime and the ethers are not. If we are thinking
not of a class of dxivyra but of a single dxivyrov even this source
of error is removed ; whether we be right or wrong, we shall make our
judgement on the understanding that the facts are a/ways so.
Q. dprdua Sé epi va = epi 8 dpiuov eva dpibpd, ‘about a single
number’. It is not impossible, however, that eva, twa, tTwd are
neuter plural. For éva plural cf. I. 105621, M. 1083225, Phys.
207)»,
IO, o8 yap em tid pev twa 8 od oinoerar. I have restored the
emphatic ov from ot of AP yp. E. Cf. L. and S. s. v. od, B.
BOOK |
The meaning of unity (ch. 1).
105215. There are four main senses of unity—excluding acciden-
tal unity. The ‘one’ is (1) the continuous, especially what is con-
tinuous by nature, not by mere contact or colligation, and more
especially that whose motion is indivisible and simple.
280 COMMENTARY
22. Unity belongs even more to (2) wholes which have a definite
form, especially to natural wholes which have in themselves the cause
of their continuity, i.e. which have a motion indivisible in place and
time. Thus that which naturally moves with the primary kind of
movement, i.e. circular locomotion, is a~single magnitude in the
primary sense,
29. Further, those things are one the definition or thought of which
is one, i.e. which are indivisible (3) in number (viz. individuals) or
(4) in form (i.e. for knowledge)—that which gives substances unity.
Thus ‘the one’ means ‘the naturally continuous’, ‘the whole’, ‘the
individual’, or ‘the universal’. All of these are one either because
their motion is one or because the thought or definition of them
is one.
bx, The questions ‘ What sorts of things are said to be one?’ and
‘What is it to be one?’ ‘are different. Each of the things we have
named is one, but to be one, while it sometimes means to be one
of these things, sometimes means something else which is the more
literal meaning, though these others express better the significance of
the term.
Each of the things we have
named is one, but to be one, while it sometimes means to be one
of these things, sometimes means something else which is the more
literal meaning, though these others express better the significance of
the term.
7. Similarly we must distinguish the questions ‘ What is the ultimate
physical element?’ and ‘ What is it to be an element?’
14. To be one is to be indivisible, being essentially a this and
separate in place, in form, or in thought, or to be whole and indivisible,
but above all to be the first measure of a class, and especially of
quantity, from which it has been extended to the other cases.
2o. A measure is that by which quantity is known; this is eithera
unit or a number, and a number is known by means of a unit, so that
all quantity is known by means of a unit ; hence the unit is the starting-
point of number as number.
24. Hence in other cases also that by which a thing is primarily
known is a measure, and the measure of everything is a unit—in
length, breadth, depth, weight, speed (the last two terms applying
to what is light or slow as well as to what is heavy or fast).
gi. In all these cases there is a measure and starting-point which is
something one and indivisible in quality or in quantity.
35. An accurate measure is one which cannot be taken from or
added to ; hence the measure of number is most accurate, for the unit
is in every way indivisible. In other cases, since a large quantity
can be added to or taken from without detection, men choose as
measure the first thing which cannot be added to or taken from
without detection.
1053* 8. Motion is measured by the quickest simple motion (i. e., in
I. 1. 10527 15-27 281
astronomy, the motion of the heavens); similarly the quarter-tone is
the measure in music, the letter in speech.
14. Sometimes there are more than one measure, e.g. in music, in
speech, in incommensurate magnitudes.
18. The one is the measure in the sense that we learn what the
essence of a thing consists of by dividing it either in quantity or in
kind, The unit is indivisible either in all respects (like the numerical
unit) or to sense (like the foot).
24. The measure is always akin to that which it measures ; e.g. the
measure of units is a unit; we must not say that the measure of
numbers is a number ; that would be like saying that the measure of
units is units, for a number is a plurality of units.
gi. We call knowledge and sensation the measure of things because
we become acquainted with things by them, but really they are
measured rather than measure. It is as if we learned our height by
some one else measuring us. Protagoras says man is measure of all
things, meaning ‘the man who knows’ or ‘ the man who perceives’ ;
there is nothing remarkable in what he says.
b4. Thus ‘one’, if we define it literally, means a measure, primarily
of quantity, secondly of quality ; i.e. what is indivisible in quantity or
in quality.
b4. Thus ‘one’, if we define it literally, means a measure, primarily
of quantity, secondly of quality ; i.e. what is indivisible in quantity or
in quality.
1052715. év tots wept Tod mooaxds, A.6. The classification of the
senses of ‘one’ there given is as follows:
(1) 70 kard cvp,B_Byxds, e. g. the unity of ‘Coriscus and musical ’,
&e.
(2) 16 Kal aro ev,
(a) 76 ovvexés civan (e. g. a bundle),
(4) 7@ 70 broxeipevov TO cider eivar ddidopov (e. g. all wine is one)
or dv 70 yevos ev diadéepov Tals avrixepevars Siapopais (e.g. horse,
man, dog are all one),
(c) dowy 6 ddyos 6 76 Ti_ Hv elvar éywv adiatperos mpos GAXov Tov
Sndotvra [ri fv ctvar] ro mpayya (e.g. that which increases and
diminishes is still one if its definition does not change).
(These three senses are summed up in 1016P9 pia i) ovvexeta
} cider 7) AOyw, cf. 1017% 3-6),
(d) The essence of ‘one’ is dpyj tut dpibyod etvar.
17. téttapes. These are given in |. 34—r0 ovvexés, 76 dAov, 75 Kal?
éxagrov, TO kabodov. The first answers to (2 @) above, the third to (2 c),
the fourth to (2). The second appears as a species of (2 a), the con-
tinuous which has a single form, e. g. a shoe as opposed to the same
materials when not arranged to serve a purpose (1016 11-17). (1) is
expressly excluded in this chapter (1052* 18); (2d) is introduced as
the primary meaning in 1052) 18.
27. cit... mpdtqv. Grammar requires us to translate ‘if anything
282 COMMENTARY
by nature has a principle of movement which is the primary principle
of the primary movement’. But it is hard to assign any definite mean-
ing to ‘the primary principle’. It seems clear that rHs zpérys is
explained by dopas and points to the fact that locomotion is the
primary kind of movement, and that rjv_mpwryv is explained by
KukAogopiav and points to the fact that circular‘motion is the primary
kind of Zocomotion. I. e. tis tpaérns and rv mpwryy are used in the
sense which they would properly have if xivyow, not Kwyoews apxny,
had preceded. jl ;
tis mpéryns. Locomotion is prior to the other kinds of change—
change of size, of quality, of substance (generation and destruction),
since a subject can have it without having the others (PAys. 260% 20—
261%26). Cf. Z. 1036’ gn.
thy mpdéryv. Circular motion is prior to other kinds of motion
because (on Aristotle’s view) it does not involve change of direction.
This is equally true of motion in a straight line, but the latter is
exposed to the objection that if it is to go on it ultimately requires
infinite space (which Aristotle does not believe in); circular motion
returns on itself and does not need infinite space (PAys. vili. 7).
28. toito mpAtov péyelos ey, i. e. a celestial sphere is the best instance
of what is one by continuity.
vili. 7).
28. toito mpAtov péyelos ey, i. e. a celestial sphere is the best instance
of what is one by continuity.
29. Just as the continuous and the whole are akin, so are the other
two main kinds of unity, 76 xa6’ exacrov and 76 xafodov; they are
introduced as subdivisions of ra dv av 6 Adyos cis 7. The first two
are one because their movement is indivisible, the last two because the
thought of them is indivisible (1. 36).
33. 16 Tals ovclais aitvoy Tod évds, i.e. the essence.
35. It is rather surprising to find the fourth kind of unity described
as ro xaOdAov; what Aristotle has said about it (1. 31) suggests only
the infima species, the least universal of universals. A genus is one
object of thought in the sense that it has a single definite nature ; it is
not one in the sense that it is logically indivisible, and Aristotle seems
here rather to confuse the two things. But he is right in recognizing
the unity of a universal, whether genus or species, as one kind of
unity.
bz, Aristotle now introduces the distinction expressed in modern
logic as that between extension and intension, or denotation and
connotation. He has named four kinds of thing that are one;
he now proposes to state the single connotation of the word ‘one’.
This is ‘nearer to the word’, while the others are ‘nearer to its
application’ (1. 6). |The connotation of ‘ one’ is ‘ indivisible’ (1. 16),
or ‘ whole and indivisible’ (1. 17), or ‘first measure of a class, and
primarily of quantity’ (1. 18).
7. TH Suvdpe 8 éxetva, Alexander takes this to mean ‘but the
others are only potentially one’. It seems clear, however, that waAAov
éyyvs is to be understood and that the meaning is ‘while they are
nearer to the force (or application) of the word’. For this meaning of
dvvapus cf. Lys. 10. 7, Pl. Crat, 394 B3.
Hy ty 1O5 2725. 10539 23 283
10. 76 daerpov, Anaximander’s ‘ indeterminate’.
27. Kowviy év tots évaytiors, i. e. each of the terms is common to each
of two contraries.
1053° 12. BSieots, cf. A. 1016” 22n.
15. at dvécerg SU0o. There can be little doubt that this refers to the
two distinguished by Aristotle’s pupil Aristoxenus (i. 21), the enhar-
monic, which was a quarter-tone, and the chromatic, which was one-
third ofa tone. Aristotle ignores the hemiolian déec1s, mentioned in
Aristox. ii. 51, which was three-eighths of a tone.
Bz. thinks that the two diéces were the major semitone (éorop:))
and the minor semitone (Aciypa) recognized by Philolaus. But
Philolaus seems to have used d/eous simply in the sense of ‘minor
semitone ’ (Boethius, Inst. Mus. wi. 5, 8, pp. 277, 278 Friedl.).
17. at dwvat mrelous ats petpodpev, i.e. there is no one letter which
is the measure of speech more than the others. A, @, 2, 0, w, and
again J, c, d, &c., are equally units of speech and not necessarily
of equal length.
Mus. wi. 5, 8, pp. 277, 278 Friedl.).
17. at dwvat mrelous ats petpodpev, i.e. there is no one letter which
is the measure of speech more than the others. A, @, 2, 0, w, and
again J, c, d, &c., are equally units of speech and not necessarily
of equal length.
Kal 7 Sidperpos Suct petpetrar Kat 4 wAeupd. It is difficult in view of
the order of the words to translate this ‘the diagonal and the side of the
square are measured by two different measures’. It may be that the
diagonal itself is said to be measured by two measures, i.e. that it
is conceived as consisting of two parts, a part equal to the side, and a
part which represents its excess over the side, and that these parts
being incommensurate are said to be measured by different units.
Cf. A. 10218 3 TO 0 dmepéxov Tpos TO dmepexopevov dAws adpurrov Kar’
apiOpov' 6 Yop, dpi pos ov ppeTpos, KaTo pn UPpeTpoV 8 api pos ov
A€yerau, 70 oe & brrepexov Tpos 70 brrepexopevov Tog obrov Te €oTL Kab erL,
rovto 6 dopuroy. If this interpretation be right, xat 7 mAevpa is the
gloss of an over-zealous copyist.
18. kal 7a peyeOn mdvta. Bz, takes this to refer to quite a different
point, that the areas of all plane figures are measured by multiplying
together two numbers which express the Jength of the sides of a
rectangle equal to the given figure. But (1) it is difficult to interpret
Ta peyeOn rayra as referring only to plane figures. peyéOy covers all
lines, surfaces, and solids. (2) The two factors of the area are not at
all analogous to the two dieces, the various letters of the alphabet, the
two different units required for the measurement of incommensurate
lines, They are not two units used to measure different things ; both
are used to measure any one plane figure.
No suitable meaning for ra. weye0n wavra presents itself, unless it be
the rather vague one ‘and in all kinds of spatial magnitudes similar
incommensurabilities can be found’. There is something to be said for
Ab’s reading 7 dudpetpos . . . Kal 7 wevpa, peyeOn Twa Ovta. Ondov Oy,
which seems to have been read by Alexander (610. 6, 7): In that
case dru should be inserted after 67. But peyéOy twa ovra appears
pointless. Goebel’s kal peyéOy twa ofov 76 AjAvoy. ovrw is more
ingenious than convincing.
23. Geréov is Professor E. S. Forster’s conjecture. For ribévas eis
284 COMMENTARY
‘to class among’, cf. Phys. 201% 24, L. NV. 1156" 30, &c. Ar’s Gere
represents the first stage in the corruption. This emendation gives
a better sentence than Bz.’s eivar ddvatperov (for eis ddvaipera), in which
the position of efvac is unnatural. -
Gotep eipytar 79n, |. 5. 4
30. 68 dprOpds TAHO0s povddur, cf. Z. 103912 n.
201% 24, L. NV. 1156" 30, &c. Ar’s Gere
represents the first stage in the corruption. This emendation gives
a better sentence than Bz.’s eivar ddvatperov (for eis ddvaipera), in which
the position of efvac is unnatural. -
Gotep eipytar 79n, |. 5. 4
30. 68 dprOpds TAHO0s povddur, cf. Z. 103912 n.
32. érel petpodvtar paAXov 7 petpodow, ‘although really they are
measured rather than measure’. The scope and variety of reality is not
measured by knowledge and perception, since there are real things which
we do not know or perceive ; but the scope of our knowledge and
perception is measured by the things we know or perceive, as, when
something of known length (e.g. a cubit-rule) is affixed to our body,
our body is measured by the cubit-rule and not the cubit-rule by our
body. On the priority of the object of knowledge (or perception) to
knowledge (or perception) cf. 10572 7-12, I. roro 30—r1o114 2, A.
10218 29—-) 2, @, 1051” 6-9.
35. émi tooodrov, It seems difficult to take this as = rooavraxis
as Alexander does, and probably the reading ézi tocotrov jv, ‘ over
such and such a fraction of ourselves’, is preferable to AP Al.’s éxt
TOTOVTOV Hiv.
Unity not a substance but a predicate coextensive with being (ch. 2).
1053" g. Is the one a substance, as the Pythagoreans and Plato
say, or does some nature underlie it, e. g. (as the natural philosophers
say) friendship, air, or the indefinite ?
16, (1) If, as we have said, no universal is a substance, and being is
not an independent substance but a predicate merely, the same is true
of the one; being and unity are the most universal of all predicated
terms. Thus genera are not separately existing substances, and unity
is not a genus, any more than being or substance is so,
24. (2) Since in qualities and in quantities ‘one’ is the attribute of
something that underlies it, we must similarly in all the categories ask
what the one is; it is never the whole nature of a thing to be or to be
one. In colour the one is a colour (e. g. white), so that if the world
consisted of colours, it would be a number, indeed, but a number of
colours, and the one would be one something,
34. So too if the world consisted of tunes, articulate sounds, or
rectilinear figures, it would be a number of quarter-tones, letters, or
figures, and the one would be the quarter-tone, the vowel, or the
triangle.
1054" 4. If this is true of the other categories, it must be true of
substance ; the one itself must be one substance,
I. I. 1053%30— 2. 1053) 32 285
13. That unity in a sense means the same as being is clear (1)
because it is found in all the categories ; (2) because it adds nothing
to the meaning of a term, any more than ‘existing’ does; (3) because
for a thing to be one is to be the particular thing it is,
1053? 10. év tots Stamophpacw, B. 10012 4-24.
10. év tots Stamophpacw, B. 10012 4-24.
14. Bz. sees that the question w&s Set yywptpwrtépws AexOfvar should
not be answered at the same moment that it is asked, by the words xai
padXov dorep ktX. In view of this, and of Alexander’s dpa do7ep oi
rept pucews, he proposes 7 padAov (interrogative) for kai waAXov. But
this does not remove all difficulties: as de? yrwpywrépws exOjvac
remains a very curious phrase. The order is much against Schwegler’s
aos for ras. The best solution is to excise 7@s as an emblema from
kat was det, |, 11.
15-16. 6 pév tts, Empedocles; 6 8’, Anaximenes; 6 $é, Anaximander.
17. év tots wept ovcias, Z. 13.
18. The traditional reading makes o68 at7é todto kth. dependent on
ei, and ovdé after ef is irregular. The irregularity may be removed by
reading with Bywater 67. ovd, depending on elpyra:. For omissions
of 6m in the manuscripts cf. ©. 10484 37, Zop. 122 10,156) 11, Soph.
£7. 18233. Alternatively the irregularity might be removed by
punctuating after instead of before dyAov ds in 1. 20; for dyAov as at
the end of a clause cf. d7Aov 6m in De Caelo 282% 12, De Gen. et Corr.
316> 11, De An. 411% 22, Pol. 1333226. But ovdé is not surprising
in view of the facts that ei here = éwe¢ and that a clause has inter-
vened. Cf. @. 104929, 10, where there is not even an intervening
clause, and Cope’s ed. of Rhe?. vol. i. 301-303.
avro Todo refers to ro ov (zepl Tov dvros, 1. 17). avrd Todro is sub-
ject, ovciay predicate ; this is preferable to making airéd rotro, otciay,
subject, as Bz. does.
23. For the reason why being and unity cannot be genera cf.
B. 998» 23.
24-28. ‘The question whether unity is self-subsistent or requires
a subject must be answered for all the categories alike. Now
in the category of quality unity is the attribute of some subject
or other (e.g. a colour); therefore it must be so in all the cate-
gories.’
29. éort Td Ev xpOya. Alexander (613. 12) seems to have read
éori ru 70 €v, and Bz. thinks the right reading is that of EJT, éoré
70 €v xpopa, ‘the one is some colour’, But the order is strange ;
either te Or xp@pa is probably an excrescence, and it seems better to
read xpaua with all the manuscripts and to omit 7 with A>. ru has
come in by dittography or by the influence of |. 26.
29. The true reading seems to have been preserved by JT, who
have eira. Al.’s commentary (613. 13) suggests efra rather than ¢i,
which has no doubt been produced by haplography.
31-32. todtro...wrtds. Jaeger is probably right in treating this as
286 COMMENTARY
a gloss; for glosses somewhat of this form cf. A. 984> 11, T. roog* 26,
A, 1073* 33.
10542 13-19. For the argument cf. I. 1003 22-34, Z. 1030” 10-12,
K. 10612 18.
Unity and plurality ; identity ; likeness ; otherness ; difference ;
contrariety (ch. 3).
A. 984> 11, T. roog* 26,
A, 1073* 33.
10542 13-19. For the argument cf. I. 1003 22-34, Z. 1030” 10-12,
K. 10612 18.
Unity and plurality ; identity ; likeness ; otherness ; difference ;
contrariety (ch. 3).
1054220. The one and ¢he many are opposed in several senses—in
one of them as the indivisible or undivided to the divisible or divided.
The opposition is that of contrariety (involving as it does privation),
not of contradiction nor of relation.
26. Unity is explained by reference to plurality, the indivisible by
reference to the divisible, because the latter are more manifest to sense.
29. To the one belong the terms same, like, equal; to plurality the
terms other, unlike, unequal. | Zhe same means (1) the same in number,
(2) one both in definition and in number (in this sense you are the
same with yourself), (3) one in definition (in this sense equal straight
lines are the same—here equality is unity).
bg. Things are “ke, (1) if, not being absolutely the same (i.e.
without difference in their composite substance), they are the same in
form (e.g, the larger square is like the smaller), (2) if they have the
same form and do not differ in degree, (3) if they have the same
attribute in different degrees, (4) if they have more attributes, or more
of the obvious attributes, the same than different.
13. Other and unizke have a similar variety of meaning. Other is
(1) opposed to the same, so that everything is either the same as or
other than everything else. It is used (2) if the matter and the defini-
tion are not both one, and (3) as in mathematics.
18. Other is not the contradictory of the same ; things which are
not are neither the same nor other, but simply ‘not the same’; things
that ave are either the same or other.
23. Difference is different from otherness, The other need not be
other in any particular respect, but the different must be different in
some respect, so that there must be some identical thing in which the
different things differ, i.e. either-genus or species. Things differ in
genus if they have not a common matter and do not pass into each
other (i.e. things that belong to different categories); in species, if
they belong to the same genus.
31. Contraries are different, and contrariety is a kind of difference.
I, 2. 1054213 — 3. 1054? 13 287
All contraries differ; they are not only other but some are other in
genus, while others are in the same category and therefore in the
same genus. We have distinguished elsewhere which things are the
same or other in genus.
10542 23. at dvtiOécers tetpaxds. The four kinds of opposite are
dvripacts, Tavaytia, TA mpds TL, TTEpaIs Kal eéis (A, 10184 20, cf. Cat.
11> 17).
We have distinguished elsewhere which things are the
same or other in genus.
10542 23. at dvtiOécers tetpaxds. The four kinds of opposite are
dvripacts, Tavaytia, TA mpds TL, TTEpaIs Kal eéis (A, 10184 20, cf. Cat.
11> 17).
24. Mate adoption of odre (A>) for todtwy gives an impossible sense,
unless his suggested rearrangement of |. 25, otre ds dvtidacis ovre ds
Ta mpos TL Acyopeva, evavtia ay ein, be adopted also. Alexander says
(615. 2) émet d¢ ai dvriOéoes terpaxds, 7d ev Kal Ta TOAAG Hs TA evavrio
GVTiKELTOL, Kal ovre OS TO. Tpos TL OvUTE as Eis Kat OTEpHoLS ovTE os KaTd-
gacis kat drddacis. It is impossible to say exactly what he read ; he
may be merely interpreting freely.
It seems better to keep the reading tovrwy, which gives a fair sense.
‘Since one of the terms “ divisible” and “indivisible” is privative,
they must be contraries and not contradictory or relative terms.’
Aristotle should have said, in accordance with his fourfold division of
opposites, ‘ since they are not privative, nor contradictory, nor relative,
they must be contrary’; but privation and contrariety are not mutually
exclusive. Contrariety is the extreme form of privation, the form in
which the attribute present in the one term is entirely absent in the
other (1055) 14, 26, I. 1004» 27, torr» 18). As Bz. remarks, a clause
indicating that the privation is of the extreme type has to be supplied
in sense after Odrepov.
26. héyerat points to the fact that ddva/perov is derived from dauperov.
-dyAodrat points to the fact that the meaning of ‘ one’ or ‘ indivisible’ is
explained by reference to ‘many’ or ‘ divisible’.
30. ev TH Starpécer Tay evavtiwy, cf. TD. 1004? 2 n.
g2. Other passages on the various senses of ‘the same’ are A. 9,
Top. i. 4, Vv. 4. 133" 15 sqaq.
33-34. éva pev...atrd. Since this is opposed to unity of both
definition and number (absolute identity, ll. 34, 35) and to unity of
definition (the unity of the members of a species, ll. 35-» 3), Alexander
must be right in explaining this first kind of unity as accidental unity,
which is expounded at length in A. 1015 17-34.
be, Bz. was right in omitting rd before isoydévua; the word is
actually omitted by A> as well as by Alexander.
tetpdywva, This word in Aristotle usually means ‘ square’ but here
‘quadrilateral’ (cf. De An. 414 31(?), Pl. Zim. 558, Crit. 118 c).
Euclid distinguishes the two as terpéywvoy and rerpdrAevpov respec-
tively. .
3-13. On the meanings of ‘like’ cf. A. 10188 15-18,
1g. 7 Aeuxdy. There is no trace in Alexander of the manuscript
reading 7 xpvo@, which is in itself highly improbable. The balance
of the sentence would lead one to expect something like 7 Nevxov, and
288 COMMENTARY
Alexander probably read this ; his words are 6 dé xarrirepos TO dpy’pw
Kata. TO mpoxetpor, olov TO Nevkdv. xpvod doubtless came in by ditto-
graphy.
14-22. On the meanings of ‘other’ cf. A. 101849-1
The balance
of the sentence would lead one to expect something like 7 Nevxov, and
288 COMMENTARY
Alexander probably read this ; his words are 6 dé xarrirepos TO dpy’pw
Kata. TO mpoxetpor, olov TO Nevkdv. xpvod doubtless came in by ditto-
graphy.
14-22. On the meanings of ‘other’ cf. A. 101849-1
14-18. Aristotle offers apparently three senses of ‘ ae *, but really
the first clause gives a quite general statement of its meaning, and the
other two give varieties. of this.
15. d&mav mpds Grav 7 tadTs } GAA. Aristotle’s remarks in ]]. 19-22
show that with this is to be understood the reservation doa Aéyerau €v
kal év. ‘Other’ is the privative, not the contradictory, of ‘ the same’,
and there are pairs of things (viz. ju évra) of which neither is predic-
able.
17. ds Ta év Tors paPypatiKkois. This is to be understood as opposed
to the sense of ‘ the same’ given in], 1.
18. 81a todro, i.e. because ‘other’ is the opposite of ‘the same’
(1. 15). Apelt (Betrdge, p. 220) thinks it refers forwards to 1. 19 od
yap avripacis éort Tod radrod, but this is less probable, Christ’s view
that dua rodro is spurious is quite unjustified.
22. Something like Apelt’s ré@uxe doa (cf. 1. 19) appears to be
wanted instead of refuxds. I have printed the elided form, for which
cf, Pl. Phil. 353 cvpBeBny jytv, Dem. 21. 120 oddé as ou’
Gduxo, &c.
23-31. On the meanings of ‘different’ cf. A. 10184 12-15.
26. dvdykn taitéd ti eivar @ Siapepouow. Aristotle means that if
A and B are different, there must be a single statable respect in
which they differ. If A differs from B in genus, B also differs from
A in genus; if in species, then in species. He does not mean that
they must have an attribute in common; this is not true in the extreme
case, dawv ado oyna THS KaTnyopias.
28. The remark about yévos and yéveois is an interesting indication
of the influence of biology on Aristotle’s logic. Cf. the account of
yevos in A. 28.
29. olov dcwv ado oxfpa THs Katnyopias. In view of |. 35 (note) it
seems that ofov = ‘i.e,’, not ‘e.g.’. Aristotle seems in this context
to restrict the name ‘genus’ to the categories. Cf. A. 1016> 33 n.
31-32. 148° évaytia...t1s. Bz. points out that these words are out of
place, since Aristotle is dealing in this chapter only with dvapopa and
comes to évaytidrys Only in the next. The objection is sound, but
with this sentence belongs the next. For rdvta yap diapépovra (or
Suahépovra re) haiveras is meaningless if the subject be 7a duapéepovra,
but significant if it be ra évavria. It seems better to treat 1054 31—
1055® 2 as a discussion of contraries which ought to have been super-
seded by the fuller discussion in chapter 4 but was retained by the ex-
cessive zeal of the original editor. For the meanings of ‘ contrary’ cf.
A. 1018# 25-35.
34. If we read ra diahépovra for duadépovra with Alexander, or
diahépovta Ti patverat, only the one sentence 7a 8’ évaytia xrA. need be
regarded as out of place. But it seems better to retain the manuscript
For the meanings of ‘ contrary’ cf.
A. 1018# 25-35.
34. If we read ra diahépovra for duadépovra with Alexander, or
diahépovta Ti patverat, only the one sentence 7a 8’ évaytia xrA. need be
regarded as out of place. But it seems better to retain the manuscript
I. 3. 1054> 14 — 10552 2 289
reading. Alexander’s reading rayra yap ra Siahépovra paiverat kai taird
is excluded by the fact that some things which are ‘ different ’, viz. those
that are different in category, are in no respect rairdé. The point
which Aristotle makes above and in ]. 35 is not that things that differ
must be the same in some respect, but that there must be some one thing
in which they differ. adyta yap dSiadepovra ti daiverar kal od povov
érepa. 6vra. would be a preferable departure from the manuscripts (though
Aristotle would probably have said tw rather than ri, cf. 1. 26); but
no departure seems necessary.
35. év TH abt cvotorxia THs KaTnyopias, cf. A. 9864 23n. Here
‘contraries (or differents) which are in the same ‘line of predication’
are said to be in the same genus. In 1058 13 (the only other pas-
sage in which ovorouxia ris Karyyopias is found) contraries in the same
genus are said to be in the same ‘line of predication’. Thus ‘genus’
and ‘line of predication’ are coextensive terms. Now it seems
natural to identify the ‘line of predication’ here with the ‘figure of
predication ’ six lines earlier. It is surprising to find genus identified
with category, but the identification is vouched for by A. 1016) 33
(where see note), 102412. Aristotle doubtless calls many classes
which are not categories genera, but in the strict sense the categories
are the only genera, since they are the only classes that are not species.
Thus Bz.’s suggestion that cvotoryia THs Katyyopias means one of
the main divisions of a category, within which the same sort of predi-
cate is found (thus the various predicates of number might be thought
of as forming a ‘ column’ under the main predicates odd and even)
falls to the ground.
avoroxia is used (enter alia) of a series of terms of which each is
wider than that which comes under it (Am. Post. 66% 27, 35, 79° 7,
8, 80> 27, 812 21, 87> 6, 14), and each category is one cvororxia ris
katyyopias in the sense that it forms a ‘ Porphyry’s tree’ of which the
apex is the name of the category.
1055*2. év adda, A. 1024 9-16.
Contrariety (ch. 4).
1055* 3. Contrariety is maximum difference. This is clear; for,
while things that differ in genus cannot pass into each other at all, con-
traries are the starting-points and extremes in the passage into each
other of things differing in speczes, and have the greatest interval
between them. Now what is greatest in each class is complete (since
there is no going beyond it), so that contrariety is complete difference,
the meaning of ‘ complete’ varying with the meaning of ‘ contrary’.
Now what is greatest in each class is complete (since
there is no going beyond it), so that contrariety is complete difference,
the meaning of ‘ complete’ varying with the meaning of ‘ contrary’.
1g. One thing cannot have more than one contrary, since (1) nothing
can be more extreme than the extreme, nor can there be more than
two extremes to the same interval, (2) contrariety is a difference, and
difference is between two things.
2573.2 U
290 COMMENTARY
23. The truth of the other definitions of contrariety. follows: (1)
the complete difference is the greatest difference, for () there is no
difference between a thing and others ow/szde its genus, and (4) the
complete difference is the greatest difference between a thing and
others zmsede its genus. (2) The things that differ most in the same
genus are contraries; so too are (3) the things that differ most in the
same receptive material, and (4) the things falling under the same
capacity that differ most,
83. Positive state and privation are the first contrariety—but only
when the privation is complete. Other contraries are so called because
they possess, produce, tend to produce, or are acquisitions or losses of
these or of other contraries.
38. The kinds of opposition are contradiction, privation, con-
trariety, relation. (1) Contradiction is not the same as contrariety
since it does not admit of a mean while contrariety. does. (2) Priva-
tion is a kind of contradiction, an incapacity which is determinate or
involves the same subject which is capable of having the positive state.
Hence, while contradiction has no mean, privation sometimes has ;
everything is equal or of equal, but only that which could be equal
must be either equal or wnegual.
bir. Since generation is from contrary to contrary, and is either
from form or from privation, all contrariety is privation, though not all
ptivation is contrariety since there are various forms of privation ; con-
traries are the extremes from which change starts.
17. This can be proved by induction. Every contrariety has a
privation as one of its terms, but there are various kinds of priva-
tion; it sometimes means mere privation, sometimes privation at a
particular time or in a particular part, or complete privation. Some
of these kinds admit of a mean (a man need not be either good or
bad), others do not (a number must be either odd or even), Again,
some have a determinate subject, others have not.
26. Thus it is clear that one of two contraries is always privative.
It is enough to show this of the summa genera of contraries, e. g. of one
and many ; the rest are reducible to these.
1055" 17-19. moddax@s S€. .. attots is explained by ll. 24-33.
Contraries may be defined as ra wAciorov diadépovra, as ra ev Taito
yever TAcicrov Suadepovra, as Ta ev Tare dextcKG wAciorov Siadépovra, Or
as Ta t7d THY airnv Svvapw rrclcTov diaepovra, and ‘ complete differ-
ence’ will mean the maximum difference possible in each of these
cases.
24-33.
Contraries may be defined as ra wAciorov diadépovra, as ra ev Taito
yever TAcicrov Suadepovra, as Ta ev Tare dextcKG wAciorov Siadépovra, Or
as Ta t7d THY airnv Svvapw rrclcTov diaepovra, and ‘ complete differ-
ence’ will mean the maximum difference possible in each of these
cases.
23. Bz. takes this to be an instance of dare 7” apodos7; but that is
le 4emO55® 17 — 105553 291
rarely found unless the protasis has been so long that the structure of
the sentence has been to some extent forgotten. It is better to take
oAws Te ei ori KTA. as Subordinate to davepdv (éorw). ‘And, to put
the matter generally, this (that one thing has not more than one con-
trary) is evident if contrariety is difference, and difference—and there-
fore complete difference—is between two things.’
23-33. The kinds of contrary mentioned in A. 10184 25-35 are:
(1) 7a py dwvard dua TO atTd rapeiven TOV SiadepdvTwv Kara. yéevos,
(2) ra wAciorov Siadépovta Tov év TO adTa yever (= 1055 27),
(3) Ta wrciorov Siahépovra Tov év TatTed SexTiKG ( = 10558 29),
(4) Ta mAciorov Siahepovra trav brd THY adryy Svvapw ( = 1055%
31).
I agrees with A in the last three kinds, but excludes the first
(1055 26). In I the genus is conceived as a summum genus
(105429). Nothing can pass from one genus to another (1054 29,
10579 26); naturally therefore there cannot be contrary genera or
contraries in different genera. In A and elsewhere genus is treated
more loosely, and virtue and vice can be treated as contrary genera
( Zop. 123» 14-16).
26-27. Serta yap... peytoty. ‘For it has been shown that in
relation to things outside its genus a thing has no difference, while
with regard to things within one genus the complete difference is the
greatest.’ It is impossible to make consistent Aristotle’s various
statements in these chapters about difference. In chapter 3 difference
in genus was freely recognized, and in its extremest form, viz. differ-
ence of category (105429, 35). So too in this chapter (1055 6).
Yet here he says that there is no such thing as difference between a
thing and something else outside its genus. Two explanations might
be offered. (1) Aristotle may mean that if X and Y are in different
genera they should not be said to have a difference, but the genera
should. If this had been his meaning, however, he would probably
have taken the trouble to state it clearly. (2) It may be that while he
uses diapéeperv, Sudhopov in a sense almost (not quite, cf. 1054 25) as
wide as their everyday sense, he uses duadopa in the technical sense
which it bears in his logic, viz..= a differentiation of a genus. This
seems more likely.
It is not clear where the proof referred to in d€8exra. has been
given. Presumably in]. 6. Things in different genera may be called
dvadépovra, but since there is no passage from one to the other there is
no definite measurable interval, no dcapopa, between them.
This
seems more likely.
It is not clear where the proof referred to in d€8exra. has been
given. Presumably in]. 6. Things in different genera may be called
dvadépovra, but since there is no passage from one to the other there is
no definite measurable interval, no dcapopa, between them.
bg. Privation, we are told by Aristotle, is a kind of contradiction,
and contrariety is a kind of privation. Zeller objects that when the
conception of privation is cleared up it is seen to fall either under con-
tradiction or under contrariety. This objection I have dealt with in
notes on A. 1022) 22-24, 24-31. An. Post. 73% 21, to which he
refers, in no way proves his point; it rather suggests that contrariety
reduces itself either to privation or to contradiction. The general
position is this; Contradiction is the relation between two proposi-
' U2
292 COMMENTARY
tions of the type ‘Ais B’,‘Ais not B’. Privation is the condition
of a subject capable of being B (let us call it A>) when it in any
degree fails to be B. Contrariety is the relation between two condi-
tions of A», that in which it is fully B and that in which it is not B at
all. Thus contradiction includes privation as a particular case, and
privation includes contrariety as a particular case.
4. % yap Td G8uvatovy bdws éxew. The application of a privative
term to a subject which is quite incapable of having the positive pre-
dicate is improper. In such a case it is only the contradictory term
that should be applied. Strictly therefore Aristotle should not have
included this as a case of privation (as he does both here and in
A. 1022623), since privation is cuverAnppévg TO Sexrixd, i.e. implies
that the subject could have the positive predicate, and is duopirbeioa,
i.e. limited to such a subject. Aristotle is here taking account of the
fact that terms like ‘blind’, though properly applicable only to animals,
are in ordinary language sometimes applied to other things.
7. év Gddows, A. 22.
Q. otepnoews Sé tos Eotwv, i.e. in the case of all proper privations,
as distinguished from the improper cases referred to in 1. 4 (note).
For the possibility of an intermediate between ééis and orépyors cf.
Cat. 13? 3 (seeing and blind), K. 10614 21 (just and unjust).
22. 7 7T@ kupiw, ‘or in the dominant part’. Alexander aptly illus-
trates this by saying that a man might be called dyeup if he had no
right hand.
4 (note).
For the possibility of an intermediate between ééis and orépyors cf.
Cat. 13? 3 (seeing and blind), K. 10614 21 (just and unjust).
22. 7 7T@ kupiw, ‘or in the dominant part’. Alexander aptly illus-
trates this by saying that a man might be called dyeup if he had no
right hand.
25. Bz. argues that the fact that some positive terms (like odd and
even) have a determinate subject to which they are appropriate, while
others (like good and bad) have none but may be applied in any
category, is the reason why the former do not admit of a middle while
the latter do. He therefore reads 67 for the manuscript év. Alexander
gives the same general interpretation, and probably also read 6ru (624.
12). But it seems clear that this is not the reason why good and bad
admit of a middle. Take Aristotle’s favourite instance of privation,
‘blind’, which has a determinate subject, viz. animals ; there are inter-
mediates between ‘seeing’ in the full sense and ‘blind’ in the full
sense. Distinctions such as are suggested by 7% wore 7 &v tut, olov av
é€v 7Aukia Twi 7 TS Kupiw, 7 avTy are applicable to good and bad but
not to odd and even, and this is the reason why the former admit of
a middle and the latter donot. ér ra pv xrX. raises a fresh point, the
point of the proper application of privative terms, already mentioned
in 1. 4.
The opposition of ‘ equal’ to ‘ greater’ and ‘ less’ (ch. 5).
105530. If one thing has only one contrary, how is one opposed
to many, or equal to greater and smaller? ‘ Whether’ always implies
opposition ; we ask ‘ whether it is white or black’, ‘ whether it is white
I, 4. 105554 —5. 1055> -6 203
or not white’, but not ‘ whether it is a man or white’. When we state
alternatives between which there is no apparent opposition, as in
‘whether Cleon came, or Socrates’, we imply that they are incom-
patible ; if they are compatible the question would be absurd and
another opposition would take its place, ‘whether both came, or only
one of the two’.
10562 3. Now we ask ‘ whether it is greater, less, or equal’; what
is the implied opposition of equal to the other terms? It is not con-
trary either to one or to both, for (1) it is not contrary to one any more
than to the other ; (2) it is contrary to unequal, so that it would have
more than one contrary. If unequal is equivalent to greater and
smaller together, equal would be opposed to both, but it would still
have two contraries, which is impossible. (3) Equal is between great
and small, but a contrariety cannot be intermediate, or it would not be
complete.
15. The opposition must therefore be either contradiction or priva-
tion. ‘ Equal’ is not the contradiction or privation of either extreme
more than of the other ; therefore it is the privative contradiction of
both. Hence it is never stated as alternative to one of them alone.
15. The opposition must therefore be either contradiction or priva-
tion. ‘ Equal’ is not the contradiction or privation of either extreme
more than of the other ; therefore it is the privative contradiction of
both. Hence it is never stated as alternative to one of them alone.
20. It is not a necessary privation, for not everything that is neither
greater nor less is equal, but only that which could be greater or less.
It is the privative contradiction of both, and therefore intermediate
between them.
24. What is neither good nor bad is opposed to both but has no
name, since the terms are ambiguous and have no one appropriate
subject-matter. Even what is neither white nor black has no one
name, though the colours of which ‘ neither white nor black ’ is pre-
dicated are limited.
30. Therefore it is not fair to object that if what is neither good
nor bad is between the two, there will always be an intermediate
etween two terms, e.g. what is neither a shoe nor a hand will be be-
tween the two. The one is a joint contradiction of opposites between
which there is an intermediate and an interval; between the other two
terms there is no difference since they belong to different genera.
1055° 34. && imo8écews, i.e. on the assumption that the person who
came must have been either Cleon or Socrates.
36.. GAN’ otk... . yévet ToOTo, i.e. this is not the necessary disjunction
of any class.
GAA Kal TodTo éxeiPev EdpAuber, ‘but even the use of “ whether” in
such a question as “ whether Cleon or Socrates came” is derived from
its proper use in which the alternatives stated are opposite’.
204 COMMENTARY
1056" 1-2. «i 8¢... dvtiGeow, ‘but if they could be true together,
even so the question falls none the less into an antithesis’.
8-11. ‘If “the unequal’: means the same as both (the greater and
the less), then the equal would be opposed to both, but this means (in
spite of the fact that we have now one word “unequal” to denote
both) that one thing is contrary to two others; which is impossible.
10. tots doKxouct Td dyicoy Sudda eivor, the Platonists, cf. N.
1087) 4,
- 15. Having shown that the opposition is not that of contrariety,
Aristotle infers that it is ether contradiction or prtvation (the fourth
kind of opposition, that of relation, it evidently cannot be, since the
equal is in that sense opposed not to the unequal but tothe equal). It
is disconcerting to find him, immediately after, saying that it is przvalzve
contradiction, But in truth contradiction and privation are not
mutually exclusive. Equal and greater-or-smaller are not strictly con-
tradictory, for neither is true of non-quanta. But they are privatively
contradictory, i.e. contradictory (so that both cannot be true and one
must be true) when predicated of any subject in a certain genus, the
genus of quanta. dddacis orepytixy amounts to the same thing as
OTEpHOts. Cr 1055» 3n.
26. modax&s yap héyetat Exdtepov, the good and the bad are found
in every category, Z. 1. 1096 19.
dddacis orepytixy amounts to the same thing as
OTEpHOts. Cr 1055» 3n.
26. modax&s yap héyetat Exdtepov, the good and the bad are found
in every category, Z. 1. 1096 19.
35. The best sense is got by translating ‘for the one is a joint
negation of opposites’. guvamddacrs is predicate, and 7% is attracted
to its gender.
DI. tav 8 otk gots Stapopd, according to the account of difference
in 1054 23—1055% 2.
The opposition of ‘one’ to ‘many’ (ch. 6).
1056 3. A-similar question may be asked about one and many.
If many is opposed to one absolutely, difficulties follow: (1) One
will be few, because many is opposed to few; (2) two will be many
and therefore one will be few, since it can only be in opposition to one
that two is many; (3) woAv and éA‘yor are in plurality what long and.
short are in length, and what is much is many and what is many is
much (unless fluids are an exception), so that the few will be a
plurality, and therefore one will be a plurality.
14. The truth is that the many are also called much, but the
meaning of the two terms is different; water may be much but is not
many. But many is applicable to all things that are discrete, and
means (1) a plurality which is absolutely or relatively superior, as
opposed to few, but also (2) number, as opposed to one. The opposi-
tion of one to many is like that of one to ones or of white thing to.
I. 5. 105671—6, 1056) 12 205
white things; each number is many because it consists of ones and
is measured by one, and as opposed to one, not to few.
25. In this sense two is many ; it is not many in the sense of being
a plurality which is superior either relatively or absolutely. It is few
absolutely, since it is the first inferior plurality (hence Anaxagoras was
wrong in saying ‘all things were together, infinite in multitude and in
smallness—by which he meant fewness—, for they were not infinite in
fewness), since fewness is constituted not by one but by two.
32. One and many in numbers are opposed, then, as measure to
the measurable, and these are opposed as things that are per accidens
relative. A may be relative to B (1) as being its contrary, or (2) be-
cause B is relative to A (in which indirect sense ‘knowledge’ is
relative to ‘knowable ’).
10571. One may be fewer than some other things; it does not
follow that it is few.
2. Plurality isthe genus of number; number is plurality measurable
by one. One and number are opposed not as contraries but as some
relative terms have been said to be opposed, viz. as measure to
measurable; hence not everything that is one is a number.
7. Knowledge might be thought to be related to the knowable as
measure to the measured, but in fact, while all knowledge is knowable,
not everything knowable is knowledge; in a sense knowledge is
measured by the knowable.
as measure to
measurable; hence not everything that is one is a number.
7. Knowledge might be thought to be related to the knowable as
measure to the measured, but in fact, while all knowledge is knowable,
not everything knowable is knowledge; in a sense knowledge is
measured by the knowable.
12. Plurality is contrary neither to few (many being contrary to few
as superior to inferior plurality), nor in every way to one. In one way
it is contrary to one, because it is divisible while the one is indivisible ;
in another it is merely relative to it, as knowledge is to the knowable,
if many means number and one the measure of number.
10565. ddiyov 7% ddiyo. This does not mean ‘little or few’.
édtyov means ‘few” as well as dAéya, and is used only because of the
awkwardness of using the plural as a predicate of ro €v. On the other
hand zod% and zoAAa are used with a distinction of meaning, ‘much’
and ‘many’, |. 12.
II. kal 6 dv 4 woAd Kal TohAd, Kat TO TWoAAG odd. This clause is
introduced to confirm the premise just stated, that woAv and éAtyov
are varieties of plurality; Aristotle confirms this by remarking that
(apart from the case of fluids) what is zodv is woAAd, in which the
plural case shows that a plurality is in question.
12. ci py TL... edopiotw, ‘unless indeed there is a difference in
an easily moulded continuum’, viz. a fluid, to which ‘much’ but not
‘many’ is applicable. Alexander reads dopiorw, and takes this to
refer to liquid; this is possible, since fluid is referred to in De Gen. et
296 COMMENTARY
Corr. 329 30 aS TO dopiorov oikeiw dpw, eddopiorov dv (what has no
definite boundary of its own, and readily takes the shape of its re-
ceptacle), but not probable, since fluid is often referred to as eddépurrov
simpliciter (De Caelo 313° 8, De Gen. et Corr. 328° 14, Meteor. 3607 23,
381) 20),
14. ddN’ lows xtd. Aristotle begins” here.his discussion of the
difficulties stated in ll. 5-14. The vital point in his solution of the
difficulties is the distinction (Il. 16-20) between two senses of ‘many’
—the sense of ‘superior plurality’, in which it is opposed to ‘few’,
and the sense of ‘number’, in which it is opposed to ‘one’, and
opposed not as its contrary but as its correlative. Thus (1) the first
difficulty (Il. 5, 6) disappears. Though many is opposed to one and
to few, it does not follow that one is few, for it is many in different
senses that is opposed to one and to few. (2) The second difficulty
(Il. 6-10) disappears. We cannot say ‘two is many and therefore one
is few’, for two is not many in the sense in which many is opposed to
few (i. e. in the sense that there is a plurality which is smaller and which
may be called few), but only in the sense in which many is opposed to
one. (3) The third difficulty (ll. 10-14) disappears. For one of the
premises of the argument, viz. that one is few, has now been shown to
be untrue.
e. in the sense that there is a plurality which is smaller and which
may be called few), but only in the sense in which many is opposed to
one. (3) The third difficulty (ll. 10-14) disappears. For one of the
premises of the argument, viz. that one is few, has now been shown to
be untrue.
21, 22. Jaeger is no doubt right in treating kat 15 petpytév as a gloss
on kal Ta prepeTpnweva, Suggested by jerpyrds in]. 23. Besides this he
reads a colon after Aevkd, inserts dorep before ra peyerpypeva, and
a comma after pérpov. This produces a neat sentence, but is
(I think) an unnecessary departure from the evidence. It is just
possible to retain xal 7d petpyntov if we abolish the full stop after it.
“For we say one or many as though one said one and ones or white
thing and white things; and things measured—in relation to their
measure—and the measurable and multiples are spoken of in the same
?
way.
25. TAHO0s Exov brepoxhy i meds TL 7 GwAQs, a plurality greater than
some other, or than any other.
26. adda mpdrtov, sc. tAHO0s éorw.
28. dméotn, ‘left the subject’, cf. Zop. 1079, Phys. 191” 10, £. WV.
11659 35.
gO. eer... “kal ddtyétyt” makes specific the criticism stated
generally in the previous clause. ‘Anaxagoras should not have been
content to say ‘all things were together, infinite both in multitude and
in smallness”; he ought to have said “and in fewness”.’ od yap dzreipa
is then added somewhat elliptically. ‘And thus the error of his view
becomes apparent ; for things cannot be infinite in fewness.’ Aristotle
thinks that when Anaxagoras said xal 7AO0s Kal opixpdryra (fr. 1) he
meant to be mentioning opposites; and the opposite of multitude is not
smallness but fewness. Anaxagoras meant, as a matter of fact, what
he said, that things were infinitely many and infinitely small, in the
sense that everything however small included yet smaller parts. If
he had meant that they were infinitely few, Aristotle’s objection
I. 6. 105614 — 105712 297
(od yap azeipa) that things cannot be infinitely few, since there is an
absolute few, viz., two, would have been sound. After od« 6p0ds aaréory
we might have expected ddd’ de, but for similar instances of d¢ cf.
K. 10612 23, De An. 409» 28, Pol. 13267 12.
The meaning of the passage has been well brought out by Prof. A. A.
Bowman in Class, Rev. xxx. 42-44.
31-32. émel 7d GAtyovy . . . SUo evidently refers back to |. 27 diya
& amd@s ra dv0 xrX. Christ is right in treating the intervening words
as parenthetical, but his excision of ov« in ]. 28 is indefensible.
A. A.
Bowman in Class, Rev. xxx. 42-44.
31-32. émel 7d GAtyovy . . . SUo evidently refers back to |. 27 diya
& amd@s ra dv0 xrX. Christ is right in treating the intervening words
as parenthetical, but his excision of ov« in ]. 28 is indefensible.
35- év GAdows, A. 1021%26-b3, There, however, 7a mpds Ti, doa
pn Kal atta trav mpds tL are Opposed not to ra mpds Tu ws evavria (for
which cf. 10547? 37), but to the other kinds of pds 71, (a) 7a ds SurAd-
cov Tpos npiov, (0) Ta ws TO Oeppavtikov mpos TO Oeppavtov. ‘These
two kinds are here inaccurately summed up as 74 rpds 71 ws évaytia. The
point of distinction is that while ‘double’, ‘half’, ‘heating’, ‘heated’
are all essentially relative terms, ‘the measured’, ‘the known’, ‘the
object of thought’ are relative terms only because something else,
‘the measure ’, ‘knowledge’, ‘thought’, is relative to them. ‘The re-
lativity is one-sided, not mutual as in the other two cases (10214 31).
There is a further difficulty in the present passage. Knowledge is
said (1. 36) to be relative to the known in the sense that something
else (the known) is relative to 27, But in A. 15 the known was said to
be relative to knowledge in this sense; cf.1057% 7-12. There the known,
here knowledge is made the term which is really absolute and only
incidentally relative. The two statements are to be reconciled as
follows: The term ‘knowledge’ is prior to the term ‘knowable’,
since knowable = possible object of knowledge. But the thing which
is knowable is prior to the knowledge of it, since there can be a know-
able which is not known but there cannot be knowledge which is not ot
something knowable. Cf. 1057 4-12.
1057* 3. Eott yap dprOuss wAHO0S Evi petpytoy, cf. A. 10207 13 n.
8. For drodidwow, ‘turns out’, cf. Ax. Post. 99°30, Meteor.
363° 11, A. A. 585> 32, 58622, G. A. 72278.
g-12. The sentence is difficult; the alleged fact (ovpBaive dé) is
surprising in itself, and does not stand in a proper antithesis to what
‘one might suppose’ (d0€ere wey yap dv). The expression is loose, but
the point (if the reading be right) seems to be this: Knowledge
might be thought to be the measure of the knowable (a free render-
ing of Protagoras’ maxim), but in point of fact, while all knowledge
must be knowable, not all that is knowable is actually known or
knowledge. The point is stated more accurately in Caf. 7» 22-35,
where as here the relation of the knowable to knowledge is dis-
tinguished from the relation of a genuine zpos ru term to its correlative.
Cf. 1053 31-35. The doctrine of the identity of knowledge with its
object (De An. 430% 4, &c.), to which Alexander and Bz. refer, does
not seem to be relevant.
I suspect, however, that we should read émuornunv pev tacay émt-
OTHTOU civan TO dé emvaTNTOV py TaV TPds emcaTHpyy, ‘that all knowledge is
298 COMMENTARY
430% 4, &c.), to which Alexander and Bz. refer, does
not seem to be relevant.
I suspect, however, that we should read émuornunv pev tacay émt-
OTHTOU civan TO dé emvaTNTOV py TaV TPds emcaTHpyy, ‘that all knowledge is
298 COMMENTARY
of a knowable, but not all the knowable is relative to actual knowledge’.
This agrees better with Caz. 7 29 émuoryrod ev yap pm dvTos obk EoTW
exioTHpn (ovdevds yap éorat ereornpn), emiornpns dé pr ovons ovdev KWATEL
€TLOTHTOV €iVaL, OLOV Kal 6 TOD KUKAOV TETPAyOVLT [LOS elye éoTw emloTyrToV,
ETLOTHN [LEV AVTOD OVK EoTW OvdETW, AvTOS BE emLOTNTOY EoT'.
14-17. From one point of view number is contrary to the one,
because they have contrary attributes, being respectively divisible and
indivisible; but from another point of view they are related not as
contraries but with the sort of relation that knowledge has to the
knowable, being respectively number (i.e. the measurable) and mea-
sure. The distinction drawn in 105635 between évavria and the
other kind of zpés 7: thus reappears in this sentence ; the meaning is
brought out better by deleting the comma after 7. in 1. 16. It seems
clear that the subject of 7 (1. 16) is not as Alexander and Bz, suppose
» érotnun but 7d 7AROos, and that 76 & & pérpov, not ro 8 ev Kat
/€rpov, is to be read.
The nature of intermediates (ch. 7).
105718. Intermediates must be compounded out of contraries ;
for (1) they are always in the same genus as the extremes, since (a)
they are that into which things must change before they reach the ex-
tremes, and (4) it is not possible to change from one genus into another
except per accidens, e. g. from a colour to a shape.
30. But (2) (a) all intermediates are between opposites (for it is
only between these, fer se, that change can take place); and (4), of
opposites, (i) contradictories admit of no mean (contradiction being
between opposites one of which must be true of every subject) ;
while (ii) relative terms that are not contrary have no mean because
they are not in the same genus. Intermediates must therefore be
between coniraries.
b2. (3) They must therefore be composed of these contraries. For
the contraries must either fall within one genus or not. (a) If they
do, so that there is something prior to the contraries, the differentiae
that make the contrary species will be prior contraries ; for the species
consist of the genus + the differentiae.
12, The intermediates will be composed of the genus + certain
differentiae, which will not be the first contraries (otherwise every
colour would be either white or black), but are intermediate between
them.
19. Thus we have to consider first, of what are composed the inter-
mediates between (4) contraries that are no/ in the same genus; for
the things in the same genus must be composed of terms that do not
I], 6, 1057" 14—7. 10577 33 299
19. Thus we have to consider first, of what are composed the inter-
mediates between (4) contraries that are no/ in the same genus; for
the things in the same genus must be composed of terms that do not
I], 6, 1057" 14—7. 10577 33 299
involve the genus as an element in them, or else be incomposite.
Contraries are not compounded of one another, and are therefore
starting-points ; of the intermediates ad/ or mone are compounded out
of the contraries. Now from the contraries there arises somedhing
such that change reaches it before it reaches the contraries (for
there must be something that is less than the one and more than the
other). Therefore all the o/her intermediates also are composite ;
for that which has a quality in a higher degree than A and in a lower
degree than B must be compounded of A and B.
29. But since there is nothing homogeneous with the contraries and
prior to them, all intermediates must be compounded of the contraries,
and therefore the lower terms, whether contraries or intermediates, will
be compounded of the first contraries. Clearly, then, all intermediates
are (1) in the same genus, (2) between contraries, and (3) compounded
out of the contraries.
Chapters 7-10 are for some unknown reason not commented on by
Alexander.
1057°18. kat éviwy €otw, i.e. in the great majority of cases; there
are some contraries, however, like odd and even, straight and crooked,
which admit of no mean (1055> 24).
19-' 34. That the intermediates are compounded out of contraries
is proved (cf. > 2-4) by three premises, (1) that all intermediates are in
the same genus as their extremes (I. 19) (which is itself proved-by two
premises, (a) that intermediates lie on the path of change between ex-
tremes (J. 21),(2) that change from one genus to another is impossible
(1. 26)); (2) that all intermediates are between contraries (which is
proved by two premises, (a) that intermediates are between opposites
(1. 30), (6) that they cannot be between any kind of opposites except
contraries (I. 33-1)). (3) Intermediates between contraries in the
same genus, i.e. between contrary species, presuppose intermediates
between contraries not in the same genus, i.e. between contrary
differentiae (4-22); and since there is an intermediate differentia
compounded out of the contrary differentiae, and if any of the
intermediates is composite they all must be, all must be compounded
out of the contraries (» 22-32).
27. Kad cupPeBykés, otov ék xpwparos cis oxqpo. A red thing may
become round, but it does so not gua red but gua having some figure
other than the round.
33-'1. Of the four kinds of opposites, viz. contradictories, relatives,
privatives, contraries, Aristotle shows that the first two cannot have
intermediates, and he infers that intermediates must be between con-
traries. He says nothing of privatives, for contrariety is the extreme
form of privation (1055? 35, @. 1046” 14), so that any privation short
of complete privation falls between contraries.
He says nothing of privatives, for contrariety is the extreme
form of privation (1055? 35, @. 1046” 14), so that any privation short
of complete privation falls between contraries.
300 COMMENTARY
37. Tov S€ mpds TL doa ph evavtia, cf, 1056) 35.
b17. edn ds yévous, i.e. edy in the sense of species of a genus, not in
the sense of Platonic Forms, cf. A. 991731 n.
8. 75 pév Siaxpitexdy xpdpua, Plato’s definition of white, Zim. 67 E
76 pv Suaxpitixov THs dwews AevKdv. Fine particles penetrate and dilate
the visual stream, large particles compress it, and this produces white
and black colour respectively (67 p).
II. GANG phy Td ye evavtiws Stapépovra paddov évavtia is very diffi-
cult. Bz. takes it to mean ‘but the contrary differentiae must be more
contrary than the contrary species’, since they are what make the latter
contrary (cf. a. 993» 24). But (1) ra évavriws duadépovra is a strange
way of expressing ‘the contrary differentiae’, and (2) this would be
a mere repetition of the previous clause. 7a évaytiws diahépovra would
more naturally mean the species that differ by having contrary differen-
tiae, and Aristotle’s point may be that though the differentiae are in
some sense prior contraries, the species are more properly called con-
traries. Cf. Cat 6217 7a wActotov dAAjAwv Stet yKkoTa TOV ev TO AITO
yéve. (we may illustrate this by white and black as opposed to dvaxpere-
xév and ovyxpitixdv, Which are pi év yever, |. 20) évavria dpilovrar, and
De Gen. et Corr. 324% 2. Even this interpretation, however, is not very
satisfactory.
12. Td Aowwd Kal Ta petaéd, ‘the others, i.e. the intermediate
species’.
20-22. ‘For the contraries which are in the same genus must be
compounded out of (the genus and) the differentiae which are not
themselves compounded with the genus (i.e. in which the genus is
not an-element as it is in the species),—or else be uncompounded
(which is incompatible with their nature as species).’
26. petags dpa éorat kal TodTo Tay évaytiwy, ‘ wherefore this differen-
tia also comes between the contrary differentiae, as the intermediate
species come between the contrary species’.
31-32. dote... €covtar. This seems to say that each extreme species
as well as each intermediate species is compounded out of both the
extreme differentiae. E.g. white would have to be to some extent
‘compressing’ as well as ‘dilating’, But this is not in itself a likely
doctrine, and it can hardly be said to be proved in the present passage ;
the meaning probably is that each extreme species contains one of the
extreme differentiae as a logical element (the other element being the
genus), while each intermediate species contains both the differentiae.
Otherness in species (ch. 8).
1057” 35. That which is other in species is different from something
in something, and this must belong to both the terms that are other than
Otherness in species (ch. 8).
1057” 35. That which is other in species is different from something
in something, and this must belong to both the terms that are other than
one another. They must therefore be in the same genus, for a genus
is that which each of two things differing fer se is said to be.
igs 1057" 27-——8. 105898 301
105872. For not only must something common belong to both, but
it must be different for each of them. The differentia must be an
otherness of the genus; for a differentia of a genus is an otherness
that makes the genus itself other.
8. This otherness must be contrariety. For all division is by
opposites, and contraries are in the same genus, since contrariety is
complete difference and difference in species is always difference from
something in respect of something and this something is identical
and is the genus that embraces both terms. Hence all contraries
that differ in species and not in genus are in the same category,
and have the utmost difference and are incompatible.
17. To be other in species, then, is to be in the same genus, con-
trary, and indivisible (and to be the same in species is to be indivisible
and have no contrariety)—for there are also contrarieties in the inter-
mediate stages of division before we come to the indivisibles.
21. Therefore no species is either the same in species as or other in
species than its genus (for matter is made known by negation, and the
genus is matter of its species), nor with things not in the same genus;
it differs in genus from them, in species from things in the same genus.
For the difference must be a contrariety to that from which the given
species differs in species, and contrariety exists only within a genus.
1057 35. From 1058412 it would seem that ri is ‘accusative of
respect’; ‘other in some respect’. The same meaning is some-
times conveyed by the dative, cf. 1054 25 1d dé dudhopov rivds Tut
duaopov.
38. pi kata cupBeBnkds Exov Siapopdv. Cf, the rule that a genus
must be divided according to its oixefa diaipeois (Z. 12, I. 10584 377).
105871. etre ds UAy oy, cf. A. 1024? 8.
4. €tepov &\Ajhwy, ‘different for one from what it is for the other’.
1054 25 1d dé dudhopov rivds Tut
duaopov.
38. pi kata cupBeBnkds Exov Siapopdv. Cf, the rule that a genus
must be divided according to its oixefa diaipeois (Z. 12, I. 10584 377).
105871. etre ds UAy oy, cf. A. 1024? 8.
4. €tepov &\Ajhwy, ‘different for one from what it is for the other’.
8. évavtiwots Toivuy gota atty. That the differentiation of a genus
must be by contraries is by no means proved by what has gone before ;
nor does what follows bear any resemblance to an éraywyy. It seems
better therefore to take djAov Se Kat ex rHS éraywyhs as parenthetical
(cf. Phys. 185? 13, 224% 30, De Caelo 276°14), and what follows as
justifying evayriwots toivuy éorat atry. Even so the justification is far
from complete. Aristotle merely points out that all division is by
opposites, and that contraries are in the same genus. He does not
show that they are the ov/y opposites which are in the same genus
(which alone would prove that all differentiation is by contraries).
Yet he could almost prove this. For contradictories are not in the
same genus, since they together embrace the whole universe; nor
are relative terms necessarily in the same genus (10572 38). Privatives
and contraries alone remain, and these are very closely bound up
together (10572 33” 1 n.).
302 COMMENTARY
Though Aristotle says that differentiation is by contraries, he does
not in practice confine himself to division by dichotomy; e.g. in Café.
14> 347 he divides animals into wrryvov, reCov, evvdpor.
Il. déSerxrar, ch. 4.
Hv, 1055% 16,
4 8é Sradopa 7 eiSer maca tivds ti, ‘specific difference is always
from something in something’.
13-14. TH adTH ouoToXia ... THs KaTnyopias, cf 1054°35 n.,
A, 1016 33 n.
17-19. Both indivisible species and individuals may be called aroya
(Bz. Index 120° 58, 48). But the aroua which are said to be the
same in species must be individuals, since two species are not the
same in species. If, then, there is to be a proper opposition between
the definitions of a TO dba and ravra 76 elder, aroua in], 18 as in
l. 19 must refer to individuals. But since in ll. 21-26, it is species
that are described as different in species from other species, aroma
in }, 18 probably refers to indivisible species as well as individuals.
18-19. tadta , . . dvta is parenthetical. The next words justify the
insertion of the previous éroua évra; in dividing a genus, we find
contrarieties even in the previous stages (kal év rots peragv), 1. €. be-
tween classes higher than the infimae species, but these constitute
otherness in genus rather than in species; it is only between dtopa
elon that there is otherness in speczes.
ai. 75 Kahovpevoy yévos, SEAN, to14b 9 7a Kadovpeva yery, The
technical meaning of yévos and idos is not quite familiar, and xadov-
pevoy introduces ‘it with some diffidence. In chapter ro we shall find
yévos and etdos used quite untechnically. Bz.’s conjectural emenda-
tions here are unnecessary.
22. ws yévous, cf. A. 991° 31 n.
In chapter ro we shall find
yévos and etdos used quite untechnically. Bz.’s conjectural emenda-
tions here are unnecessary.
22. ws yévous, cf. A. 991° 31 n.
Christ was right in reading mpooynkévtws. It is the reading of A
as well as of E.
24. pi ds Td TOv “Hpaxderddy, cf, A. 10242 32,
ON’ ds 76 ev TH doer, ‘but in the sense of the genus which is an
element in the nature of a thing’, Cf A. 10244 6 déyerar ev 7G TH
> aA ve
€OTL, TOUTO yevos.
27. 08 Siadeper = zpds Todro ob Siadéper Te
What contrarteties constitute otherness in species (ch. 9).
1058* 29. Why does not the female differ from the male in species,
when female and male are contrary and the differentia is a differentia of
animal as such?
34. This is much the same as the question why one contrariety (e.g
possession of feet and of wings) makes things other in species, and
another (e.g. whiteness and blackness) does not. The reason is that
I. 8. 1058811 —9. 1058 2 303
only the former are affections proper to the genus, Contrarieties in
the definition make a difference in species, those in the concrete
whole do not.
bg. Hence whiteness does not make a differentiation of man; for
colour belongs to man on his material side, and matter does not make
a differentia. Individual men are not species of man, though their
flesh and bones are different ; the concrete whole is other, but not other
in species because there is no contrariety in the definition. Man is the
last, indivisible species; Callias is definition + matter, and so too is
‘the white man’, since ‘the man’ is only white per accidens because
Callias is white.
12, Hence a bronze and a wooden circle are not other in species;
and a bronze triangle and a wooden circle are other in species not
because of their matter but because there is a contrariety in their
definition.
15. But perhaps where the matter is other in a particular way it
makes the things other in species in a sense, Why is this horse
other in species than this man, though their definitions involve matter ?
Because there is a contrariety in their definitions. A white man and
a black horse are other in species not gua white and black, for they
would have been so even if they had both been white.
21. Male and female are affections proper to animal, but not in
virtue of its essence but in its matter (and hence the same seed
can become male or female).
A white man and
a black horse are other in species not gua white and black, for they
would have been so even if they had both been white.
21. Male and female are affections proper to animal, but not in
virtue of its essence but in its matter (and hence the same seed
can become male or female).
This chapter implies a division into three kinds of the attri-
butes which belong to some members of a genus and not to others.
There are (1) oixeta 7déOy 70d yévous (* 37, » 22), which belong to the
genus xa’ avré (4 32), i.e. are peculiar toit. These are subdivided into
(a) those which are év 76 Adyw (P 1), which belong to the essential
nature of the genus, i.e. dzfferentiae like ‘footed’ and ‘winged’ in
the genus ‘animal’ (® 36), and (4) those which are & 76 cuverAnp-
pévo TH BAy (P 2), which arise from the association of the essential
nature with two or more kinds of matter. Thus a male animal
is produced by the association of the owépya or male element, in
which the form of the species is transmitted, with one female or
material element, and a female animal is produced by its associa-
tion with a different female element (» 23). The attributes under
this head are properties of the genus; every animal must be male-
or-female, and nothing but an animal can be either. There are (2)
attributes which are not oikela wa6y rod yevous (* 37), like white and
black, which belong to animals not gva@ animals but gua having
surfaces. These attributes are accidents.
1058) 2. -1@ cuverAnppevy TH Oy, cf. E. 1025? 32.
304 COMMENTARY
5. s Ody yap 6 avOpwmos, ‘for when we distinguish the white man
from the black man we are considering man on his material side’.
Q. todTo & éori 1d Ecxatov Gropov, ‘and this—that in whose defini-
tion no contrarieties are included—is the ultimate indivisible species *.
For aropoy cf. 2 17-19 n.
II-I2. xai 6 \eukds . .. GvOpwros...* The white man, then, is also
definition + matter, for it is the individual Callias that is white; man,
then, is white only incidentally {or per accrdens).’
1g. The substitution of a colon for a comma before ovdé does away
with any need for Bz.’s emendation, HAwov tpiyevoy for EiAwos.
‘The bronze circle and the wooden circle, then, do not differ in kind;
nor do the bronze triangle and the wooden circle differ in kind be-
cause of their matter, but because of the contrariety in their defini-
tions’, i.e. between triangle and circle.
17. tovdt dv6pa7ov would (I think) be unparalleled in Aristotle, and
the addition of rod is necessary.
~
The perishable and the imperishable differ in kind (ch. 10).
between triangle and circle.
17. tovdt dv6pa7ov would (I think) be unparalleled in Aristotle, and
the addition of rod is necessary.
~
The perishable and the imperishable differ in kind (ch. 10).
105826. Contraries are other in form, and the perishable and
the imperishable are contraries. They must therefore be other in
kind. But so far we have spoken only of the universal terms, so
that it would not follow that every imperishable thing is different in
kind from every perishable, any more than every white thing is from
every black. The same thing may be both white and black, and, if it
is a universal, may be both at the same time.
36. But while some contraries such as white and black belong to
certain subjects per accidens, perishable and imperishable do not.
Nothing is perishable per accidens; if it could be so, the same thing
might be both perishable and imperishable. Perishableness is either
the essence, or included in the essence, of all perishables. So too
with imperishableness. Therefore the essential natures in virtue of
which things are perishable and imperishable are opposed, and there-
fore are other in kind.
1059? 10. Therefore there cannot be Forms such as some thinkers
maintain, for if there were there would be a perishable and an im-
perishable man. The Forms are said to be the seme in species as
the particulars, but things other in genus are further apart even than
things other in species.
105827. otépnois yap dduvapia Siwpicpévn. ‘Perishable’ and
imperishable’ are contraries, not contradictories, for a privative term
$T. ALBERTS CSUTEGE LIBRARY
I. 9. 105885 —10. 1059%12 305
like ‘imperishable’ is not applicable to any and every thing that does
not perish, but is limited to the class of things that might conceivably
perish (cf. 1055) 8).
28. yéver. The premises only warrant the conclusion that the
perishable and the imperishable are different in species, and there-
fore Bz. reads eiSe. But this does not remove the difficulty, for in
10597 10 it is again stated, without any fresh grounds, that they differ
yéve. It seems plain that cide and yéve are not here used in their
technical sense. They may be translated ‘form’ and ‘kind’, In
1059214 on the other hand the technical distinction is found, and it
seems probable that while the rest of the chapter was written before
Aristotle had begun to use the words in their technical sense, ll. 10-14
were added later under the supposition that generic as opposed to
specific difference between the perishable and the imperishable had
been proved. These lines have the air of an afterthought; they use
for the purpose of anti-Platonic polemic a result which in the rest
of the chapter was established without any polemical motive.
For other instances of the non-technical use of the words cf.
A. 10718 25 with 27, Caz. 8b 24 with 9214, An. Post. 97> 24 with 34,
H. A. 490%16 with 17, 31 with 34, 55724 with 24, Pol. 1290 33
with 36. In Plato the words are often used indifferently.
For other instances of the non-technical use of the words cf.
A. 10718 25 with 27, Caz. 8b 24 with 9214, An. Post. 97> 24 with 34,
H. A. 490%16 with 17, 31 with 34, 55724 with 24, Pol. 1290 33
with 36. In Plato the words are often used indifferently.
1059*12. 6 pév, the sensible individual; 6 8, man-himself or the
Idea of man.
BOOK kK
Book K consists of two very different parts, (1) 1059* 18—1065° 26,
a shorter version of the contents of BIB, (2) 10654 26—1069° 4,
a series of extracts from PAys, II, III, V. The two parts are in-
geniously connected together by a transition from a discussion of the
accidental to a discussion of chance. Jaeger has given (Arzsv. 216 ff.)
strong reasons for holding that the first part is earlier than BIE,
and was written when Aristotle was still much under the influence of
Platonic presuppositions.
(1) While E has a section pointing forward to the discussion of
substance and activity in ZH@ (1026 33-2), this is lacking in K
(106415). I.e., while B has been worked up into a form which served
to connect the original introduction ABIE. 1 with the later discussion
of substance, ZH®, there is no trace of this in K,
(2) In K. 105939 Aristotle asks whether ‘the science we are
looking for’ is concerned with sensible substances or with others, In
the corresponding passage, B. 997° 34, he asks whether we must
maintain the existence of sensible substances only or also of others.
2578-2 x
306 COMMENTARY
Jaeger argues (unsuccessfully, I think) that K here represents a more
Platonic point of view.
(3) In K. 1060%7-13 the object of inquiry is said to be « tu
xopiorov Kal! airs Kal pyderi rév aicOyrdv trdpxov. In B. 9997 24—
32 the language is much less strongly Platoni¢, K. 10604 21-27, » 1-3
reveal the same search for a transcendent object of knowledge.
(4) In K. 10638 10-17 Aristotle appeals from the changeableness of
terrestrial things to the permanence of the celestial; in I’. roro® 15 ff.,
the appeal is to the permanent elements in the terrestrial world, and
only incidentally (ib. 25-32) to the constancy of the heavens.
(5) The problem about the vAy tév pabyparixdy is peculiar to
K. 1059 14-21. It is discussed in N. 1088? 14 ff., and N can on other
grounds be shown to belong to the earliest draft of the Me/aphyszcs. The
problem springs naturally out of Plato’s doctrine of the great-and-small.
(6) The one problem which is found in B (1002 32—1003* 5) and
not in K is the question whether the elements exist potentially or
actually—a question closely related to the contents of ZH®,
(7) K. 10593 presupposes the refutation of the ideal theory in
A. 9; B. 99473 does not do this, and evidently belongs to the later
period in which the attack on the ideal theory was removed from A
and relegated to M. 4, 5.
Recapitulation of the problems stated in B. 2, 3 (ch. 1).
1059" 18. That wisdom is a science of first principles is clear from
our examination of earlier thinkers, but the following questions arise :
4, 5.
Recapitulation of the problems stated in B. 2, 3 (ch. 1).
1059" 18. That wisdom is a science of first principles is clear from
our examination of earlier thinkers, but the following questions arise :
20. (1) Is wisdom one science or more than one? If one, it should
be of contraries, but the first principles are not contrary ; if more than
one, which are these sciences ?
23. (2) Is it the business of one science to study the axioms? If of
one, why of this more than of any other; if of more than one, which
are these sciences ?
26. (3) Does it study all substances? If not all, then which; if
all, how can one science study more than one subject ?
29. (4) Does it study attributes as well as substances? If it
is a demonstration of attributes, it is not about substances; if a
different science studies attributes, what is each and which is wisdom?
Qua demonstrative, the science of attributes would be wisdom; gua
about primaries, the science of substances.
34. The science we are looking for does not deal with the four
causes ; it cannot deal with the final cause, i. e. the good, which is the
first mover and is not presupposed by unmovable things.
Koer. TO5Q* 19-23 307
38. (5) Generally, is this science concerned with sensible substances
or with others? If with others, then either with Forms or with mathe-
matical objects. (a) The Forms do not exist; but, if we suppose them
to exist, why is there not a third man, &c., just as mathematical objects
are a ¢erfium quid between Forms and sensible things; on the other
hand, if this er#um quid does not exist, what is mathematics about?
Not about sensible things, which have not the required properties.
b 12. (4) Nor is the science we are looking for about mathematical
objects, which have no separate existence, nor (c) about sensibles,
which are perishable.
14. Which science should investigate the matter of mathematical
objects? Not physics, which is occupied with things having a principle
of motion and of rest in themselves ; nor logic, which is absorbed in the
study of knowledge. This must therefore be a task for metaphysics.
» at. (6) Does metaphysics study the elements present in composite
objects? It might seem to be rather concerned with universals (since
all knowledge is of universals) and therefore with the summa genera,
being and unity. These might seem most like first principles because
if they are destroyed everything else perishes with them}; everything is
existent and one.
gi. On the other hand, it would seem that these cannot be genera
or first principles, because the differentiae must share in them, but no
differentia shares in its genus, Further, what is simpler is more
of a first principle than the less simple, and zmfimae species are simpler
than their genera, being indivisible. But inasmuch as the destruction
of the genus involves the destruction of its species, the genera are
more like first principles.
But inasmuch as the destruction
of the genus involves the destruction of its species, the genera are
more like first principles.
K. 1, 2 covers the whole ground of B except the dopia stated
in 996* 10, rr and discussed in 1002” 321003? s.
1059* 19-20. ék Tdv TpdTwY .. . TEpt TOY dpxay, i.e. A. 3-10.
20-23. This dzopia is that which is stated in B. 995» 5, 6 and dis-
cussed in 996%18-5 26, The objection here urged against saying
there is a single science of the dpyai is the objection stated jfirs¢
in B (996% 20, 21). The question here stated to arise if there be said
to be more than one science of dpyai is different from that stated
in B. 9961-24. The second objection stated in B (996% 21-» 1)
against the first alternative is omitted here. The same point is made
in 1059* 34-38, but in a different connexion.
22, at 8 dpxai odk évaytiat. By the dpyad are meant, as is evident
from B. 996% 21-1, the four causes, which are evidently not
contraries.
23. pia. We should perhaps follow I in reading péav, which gives
the proper correspondence with «i pev yap play, |. 21.
a)
308 COMMENTARY
trotas Set Oeivar tadtas; ‘ what sort of sciences is it that must be held
to make up codia?’
23-26. This problem answers to the problem stated in B. 995» 6-
to and discussed in 996 26—997%15, but is not identical with
it. The question there was whether the science which studies the
dpxai of substance should also study the dpyai of demonstration ; here
it is whether it is one or more than one science that studies the dpyai
of demonstration. The objection here stated to the first alternative
answers, mutatis mutandis, to that in 996 339947" 2. That to the
second alternative answers to that in 997%14, 15. The second
argument against the first alternative (997° 2-11) and the first against
the second alternative (9978 11-13) are here omitted.
25. Ti paddov tavrns 7) Srovacody; i.e. since the demonstrative
dpxai are the dpyad of all the sciences, how can it be the business
of one and only one science to study them? The argument is purely
dialectical.
26-29 answers to the problem stated in B. 995” 10-13 and
discussed in 997% 15-25.
26. ert métepoy Tacdv Tay ovoLay 7 003 sc. brodaPetv clvar Set THY
codiav érurtpuny (|. 21).
29-34 answers to the problem stated in 995» 18-27 and discussed
in 997% 25-34.
30. A comparison with the corresponding passage in B shows that
a7ddeis €orw is an intrusion from the next line. The question is
whether co¢éa is concerned with substances only or also with attributes ;
the reference to demonstration comes in only by way of showing the
difficulty of supposing that it is concerned with both.
The question is
whether co¢éa is concerned with substances only or also with attributes ;
the reference to demonstration comes in only by way of showing the
difficulty of supposing that it is concerned with both.
32-38. Christ has rightly found 4 dwoderixy codia impossible, and
therefore brackets copia, but Luthe’s } pév .. . 9 dé for H wey. . .# de is
manifestly a better alteration of the text. Qwa demonstrative, the
knowledge of properties might be thought to be codia (since knowledge
is often identified with demonstration) ; but gua dealing with 7& mpara,
the knowledge of substances might seem to be 80. ‘Luthe’s reading
is established by the parallel i in 996> 9-14 rive xp? kadety TOY eruory-
pov copiar € EXEL Aoyor € exdorny Tporayopeveu” rl Bev yap apxicwrary mais
7, TOD Téhous kat rayabot TOLAUTY «+ «, 7) OF TOV TPTOY aitiov ...H THS
ovoias ay etn TOLAVT.
34-38. This passage differs from the rest of the chapter in not
propounding a problem but simply stating a fact about codia. Ina
sense the passage connects with the first problem stated above, in
ll. 20-23, viz. whether one science can study all the dpyaé; and the
corresponding passage in B (996% 21-" 1) occurs in the discussion of
the first problem. On the other hand it seems impossible to remove
the passage from its present position, for ovre yap |. 35 is taken up
by dAws & 1, 38, and the passage thus connected with the following
problem. We may suppose that the notes on which this passage
is based were in some confusion and have not been properly sorted
out.
K. 1. 1059% 23 — 1059) 35 309
34. Tas ev Tols puctKois eipnpevas aitias, the four causes, Phys. ii. 3.
85. otre. Bz. conjectures ode, but it seems more likely that ote is
resumed irregularly (as often) by dAws 6’ in 1. 38.
g8. 7o Bé . . . dkiwnros, ‘but a something that moved them first
does not exist in the case of unchangeable things’.
38—" 14 answers to the problem stated in 995» 13-18 and discussed
in 997% 34—-998% 19. The question, however, is not the same. There
it is whether there are substances other than the sensible ; here it is
whether it is the business of copia to discuss the sensible substances
or some others.
b 3. dHAov, sc. from A. g.
8. It isto be noted that ‘ third man’ has not here the technical sense
in which it occurs in A. 990 17, Z. 1039% 2, M. 1079 13; the absence
of the definite article in the present passage is significant. The phrase
seems to have become a catchword which was used in various senses
other than the originalone. Cf. A. 990? 17n.
990 17, Z. 1039% 2, M. 1079 13; the absence
of the definite article in the present passage is significant. The phrase
seems to have become a catchword which was used in various senses
other than the originalone. Cf. A. 990? 17n.
14-21. This discussion of the question what science studies the
matter of mathematical objects has no parallel in B. The question is
not, what science studies mathematical objects (the answer to which is
obviously ‘ mathematics’), but what science studies the tAy that under-
lies mathematical objects. Thus the conclusion (l. 20) that meta-
physics is the study in question does not contradict the statement in
]. 12 that metaphysics does not study mathematical objects.
15. THs Tov palnpatiKay Uns practically = space. It is the vAn
vontyn Of which Aristotle has spoken in Z. 1036 9, where cf, n.
IQ. abtd tobTO Td yévos, i.e. dodeéis and émornpy.
2I—1060*1. Aristotle begins with the query raised in 995” 27-29
and discussed in 998* 20-14, whether the constituent elements or
the universals are the dpxai studied by metaphysics, but he soon
(Il. 27) passes to the query raised in 995 29-31 and discussed in
998” 14—999* 23, whether summa genera or infimae spectes are the
dpxai. :
23. 74 Kadodpeva md tiwy ororxeta. Diels, Llementum, 17 fi.,
shows that the word is found (not before 370) in a tentatively meta-
phorical sense in Isocrates, Xenophon, and Plato (Zheaet., Soph.,
Tim.).
Tait S€ TavTes evuTMdpXovTa Tois auVOdroLs TLHdaow, sc. while codia
deals with immaterial entities (1. 14).
30, 38. For the notion of the cvvavaipotv cf. Top. iv. 2, vi. 4.
33. Stahopa 8 odSepia tod yévous petéxer. The genus is predicated
not of the differentia but of the species, Zop. 144% 32.
tairy 8. Christ conjectures y’ for &, but 3° is sufficiently confirmed
by the passages cited in Bz. /udex 167%7-12. Cf. B. 999% 27n.
35. 14 8 Eoyata tay ek Tob yevous, i.e. the zufimae species (as |. 38
shows), not the individuals, For droya used of cnfimae species cf.
I. 10587 18.
310 COMMENTARY
Recapitulation of the problems stated in B. 4—6-(ch. 2).
1060*g. (7) Is there anything apart from individual things?
These are infinite in number, but on the other-hand the knowledge we
are looking for cannot be of genera or species, which are the things that
might be supposed to exist apart from individuals. Yet we seem to be
looking for something independent which is not an attribute of any
sensible thing.
1g. If there is such a substance, which sensible substances does
it exist alongside of? Why of some more than others? Yet it
would be absurd to suppose eternal substances as numerous as the
sensible and perishable.
1g. If there is such a substance, which sensible substances does
it exist alongside of? Why of some more than others? Yet it
would be absurd to suppose eternal substances as numerous as the
sensible and perishable.
19. But if the principle we are looking for is zo¢ apart from bodies,
matter might seem to have a strong claim; yet it exists only poten-
tially. Form has a stronger claim, but it is perishable, so that
apparently there is ~o eternal independent substance. Yet the best
minds have always sought such a principle; indeed, without it how
could there be any order?
27. (8) If there is such a principle common to eternal and perish-
able things, why are some eternal and others not? If the principles
are different, then (a) if the principle of perishables is eternal, why
are they not eternal? (0) if it is perishable, it presupposes another
principle, and so ad infinitum.
36. (9) If we posit the principles that seem most unchangeable,
being and unity, (a) if they are of individual substances, how can they
exist apart, as first principles must ; if they are, all things will be sub-
stances, since being is predicable of all; but plainly not all things are
substances.
b6. (4) Those who make unity the first principle and a substance,
and generate number from it and from matter and make number
a substance, cannot be right; for how can you think of two or any
number as one?
12. (c) Lines, planes, &c., cannot be first principles, since they are
mere divisions and limits and therefore cannot exist apart.
17. (¢d) The unit or the point cannot be a substance, since there is
no generation of it.
1g. (10) All knowledge is of universals, but substance is not
universal but individual; if there is knowledge of the first principles,
how can substance be the first principle ?
2g. (11) If there is nothing apart from the concrete whole, such
wholes are all perishable ; if there is something, it must be form ; now
K. 2. 10607 3 — 1060? 13 311
in which cases will this exist apart? In some cases, e.g. that of a
house, it evidently cannot.
28. (12) Are the first principles the same in form or in number? if
in number, all things will be the same.
1060? 3-27 states the problem raised in B. 995> 31-36 and
discussed in 999%24—- 24. There is first the question whether there
is anything apart from individual things (3-13, 999% 24-32) ; then the
question which sensible substances “have a corresponding separate
substance (13-18, 999%32-55, » 17-20); the question whether, if
the dpxy we are in search of is not separate, matter or form is more
truly the adpx7 (19-24) is peculiar to K, and the arguments in 999 5—
16 are peculiar to B.
3. 74 Kad exaota, cf. B. 999% 26 n.
7. eipntor. The reference seems to be to 1059> 31-38.
15-16. The change of construction is awkward though natural.
‘Why should one suppose this other substance apfar/ from men or
horses any more than another substance of the other animals’, &c.
3. 74 Kad exaota, cf. B. 999% 26 n.
7. eipntor. The reference seems to be to 1059> 31-38.
15-16. The change of construction is awkward though natural.
‘Why should one suppose this other substance apfar/ from men or
horses any more than another substance of the other animals’, &c.
22, tolto S€ P0aprdév. Aristotle believes that an évvAov etdos (like
the soul of an animal, or of a man in so far as he is irrational) is
Oaprov, though indeed it is POaprov dvev rod POeiper Oar (H. 1043” 15n.,
_ cf. 1044P22, A, 107015). Cf. the distinction in De Caelo i. 9
between pure form and ei8os ody pepuypevov ; and Z. 1039) 20-2 23.
25. For ot xapueoraro. = ‘the most cultivated, refined people’, cf.
A. 10759 26, De Resp. 480 29, &c.
27-36 states the problem raised in 996% 2-4 and discussed in
10008 5—1001% 3. K omits the historical discussion contained in
10008 g—b 20,
36-19 states the two problems raised in 9968 4-9, 12-15, and
discussed in 1001® 4— 28, b 26—1002 11; thetwo problems are con-
nected together by 1060 6-12.
b4. Bz.’s conjecture éora: is not necessary but is probable enough,
and is confirmed by Al. 639. 37,640. 1.
5. kat evioy S¢ Kal To év, Really everything that is is one (1061
18); eviwv is used by way of caution. Alexander explains éviwy
as meaning all things but numbers, but this is unlikely.
6-9. Tots... Pdokovow eivat, the Pythagoreans (A. 987% 18, B. 10014
10) and Plato (A. 987” 21, 9929, B. 1001@ 9):
8. tov dpiOpov yeryGou. mpdtoy, sc. and subsequently ra yewperpixa,
Cf. 1. 12, B. ro01 17-25.
10. tav... dpiOpav Tay ouvOeTwy, not in the ordinary sense of com-
posite as opposed to prime numbers. ‘The other numbers made out of
the One and matter are meant.
13. émupavelas Tas mpdras, i.e. intelligible as opposed to sensible
surfaces. For the sense of zparos cf. De An. 404 20.
taitd y. - J records the variant y’, which was conjectured indepen-
dently by Bz. & and ydp seem to be both corruptions of this.
312 COMMENTARY
18, odolas pev yap méons yéveors eort, ottypfis 8 odK éotw, It
cannot be meant that all substances are subject.to generation; for
what then of God? The meaning is given better in B. 10028 28-? 11.
If a substance at one time is not and later ‘is,it comes into being by a
process of generation, while points, lines, and planes come into being
instantaneously by the division of lines, planes, and solids.
19-23 states the problem raised in 9969, 10 and discussed in
1003* 5-17, especially in ll. 13-17.
23-28 recurs to the problem discussed in 4 3-27.
27-28. éw éviev yap... oixlas. The meaning is that there are
evidently no separate universals of negations (A. 990? 13), of relations
(990> 16), or of manufactured objects (991? 6, A. 10707 14).
28-go states the problem raised in 996% 1, 2 and discussed in
999 24—1000% 4.
The subject of philosophical study (ch. 3).
oixlas. The meaning is that there are
evidently no separate universals of negations (A. 990? 13), of relations
(990> 16), or of manufactured objects (991? 6, A. 10707 14).
28-go states the problem raised in 996% 1, 2 and discussed in
999 24—1000% 4.
The subject of philosophical study (ch. 3).
1060» 31. Philosophy is concerned with being as such universally,
but being has more than one meaning. If it is merely ambiguous
it cannot be dealt with by one science; if there is some common
meaning, it can.
36. It is like the terms ‘medical’ and ‘healthy’, all of whose
meanings have some reference to the medical art and to health
respectively. So too everything that is is an affection, state, dis-
position, motion, &c., of being as such.
1o61° 10. Since all that is is referable to some one thing, all con-
trarieties are referable to the primary differences of being—plurality
and unity, likeness and unlikeness, &c. It matters not whether the
reduction be to being or to unity, for the two are at any rate con-
vertible.
18. All contraries are objects of the same science, and each of them
implies privation. (How can terms admitting of a mean, like just and
unjust, involve privation? The privation must be said to be not of the
whole definition but of the zwfima species. If the just man is ‘one who
by virtue of a state of will is obedient to the laws’, the unjust man need
not be the very reverse of this but may be ‘ one who is in some respect
deficient in obedience to the laws’; in this respect he suffers from
a privation of justice.)
28. The mathematician abstracts from all sensible qualities and
studies simply what is quantitative and continuous in one, two, or three
dimensions, and its essential attributes.
bg. Similarly the study of the properties and contrarieties of being
K. 2. 1060) 18 — 3. 106155 313
as such is the task of no science but philosophy; not of physics,
which studies things not gua being but gua sharing in motion, nor of
dialectic or sophistic, which study the attributes of things that are, but
not gua being.
11. Since all that is is so called by virtue of some one common
character, and things so related can fall under one science, we have
solved our problem, how there can be one science of many things which
differ in genus.
This chapter answers to T. 1, 2, the substance of which it states in a
much briefer form. In the first part of the chapter, 1060 31—1061%
28, the question raised in 1059% 20-23 is incidentally answered, and
in the second part, 10614 28—-» 11, that raised in 1059* 29-34, though
at the end (1061 15) it is only claimed that the first of the two
problems has been solved.
1061* 15. eotwcay yap avtat TeDewpynpévan, cf. DT. 100422 n. Alexander
here again refers to the De Bono.
1061* 15. eotwcay yap avtat TeDewpynpévan, cf. DT. 100422 n. Alexander
here again refers to the De Bono.
20-28. The question is how contraries that admit of a middle A€yerax
kata orepyow. If contraries are related as égis and orépyors, it might
seem that they are the only possible conditions of the dexrixév. The
answer is that the intermediate in such a case lacks not every element
in the definition of the positive term but only the final differentia.
Besides just men, who conform to the whole definition of ‘just ’, and
unjust men, of whom no part of it is true, there are men who in some
respect fail to conform to it, e. g. who obey the laws but not from the
right egis. Such men are said to exhibit the privation of the reAXevtatov
eldos (1. 23); i. e. they do not belong to the zufima spectes ‘just man’ ;
they are lacking in the final differentia, though they may belong to
some wider class (e.g. that of men obedient to the laws) which
includes also just men.
22, Td To.aiTa, i.e. TH ava pecoV.
23. To TeAeuTatou dé eidoug: Alexander explains this as ‘the extreme
form’, but reAevraios is used regularly of the zmfima spectes or differentia
(B. 99530, A. 10185, Z. 1038419, P.A. 643% 22, 35, 6443);
and further rod dAov Aoyou suggests the splitting up of the definition
into genus and differentiae.
24. et €otw 6 Bixaros Kal” ey Twd TwevPapxiKds Tots vopors, ‘This
is the just man in the wider sense of justice, explained in LZ. VV. 1129>
1I—1130* 13.
25. 6 &Buxos is here used of the person who is in any degree unjust,
i.e. of 6 dv& pécov, though in ]. 22 rod ddiékov meant the completely
unjust man.
33. Tov pev ep’ ev, i.e. ray pev ro ed’ ev ouvexes.
b5. tas évavtidcets adtod, cf. B. 995) 20-27 n.
proaopias. dirocodia in the sense of rpwrn PiArocodia is rare, but
giAdcodos occurs in the corresponding sense in 1003> 19, 1004" 34,
314 COMMENTARY
b16, 10054 21, > 6, 11, and the same narrowing down of the scope of
pirocopia is implied in the distinction drawn between it and
mathematics in A. 992733, A. 1073? 4.
Philosophy distinguished from mathematics and physics (ch. 4).
1061» 17. Since even the mathematician uses the axioms only in
a special form, it is the task of first philosophy to study them. That
if equals be taken from equals equals remain is common to all quanti-
ties, but mathematics studies the several parts of its subject-matter
(lines, angles, numbers, &c.), not gva being but gua continuous; while
philosophy studies particular things only in so far as they have being.
27. Physics is like mathematics; it studies the properties and
principles of things gua moving, not gua being, while the first science
studies the attributes of being as being. Hence physics and mathe-
matics are only parts of wisdom.
This chapter corresponds to IT. 1005*19-»2, and answers the
question raised in 1059? 23-26.
1061” 18. tots Kowois, i.e. the aéimpara, cf. B. 997% 10.
TouTuy, i.e, Tov pabnpatiKOv.
Hence physics and mathe-
matics are only parts of wisdom.
This chapter corresponds to IT. 1005*19-»2, and answers the
question raised in 1059? 23-26.
1061” 18. tots Kowois, i.e. the aéimpara, cf. B. 997% 10.
TouTuy, i.e, Tov pabnpatiKOv.
20. kody pev éotiy éml mavtwy tav woody, i.e. this proposition is
neither a common principle of all sciences nor peculiar to one; it
is common to all the sciences of guantity. It thus belongs to a type
not recognized in Aristotle’s classification of dpxai, An. Post. 76% 38.
This axiom is similarly treated as a xowov, though really common only
to the sciences of quantity, in Aw. Post. 774 30, 31.
21. drodkaBodoa, ‘cutting a part off for separate consideration’.
Cf. Poet. 1459% 35 and the use of drorepvec$a, I. 1003% 24.
25. 4 3é prdogodia, cf. 1. 5 n.
26-27. mept To dy . . . Oewpet. The construction seems to be,
‘but speculates about that which is, in so far as each particular thing
is’ (7 bv trav TowtTwy exactoy is opposed to 7 ovvexés airy ExacTov,
1, 24)—which is a brachylogy for ‘but speculates about that which is,
and about particular things only in so far as each of them is’.
32. tavTny apparently refers to 7 vou; the clause answers to I,
1005) 1 éori d€ codia tis kal 7 pvoixy. THy démpaerny ... erepov 7. must
therefore be treated as parenthetical. The point of connexion between
8.6, &c., and what precedes is not very clear. Alexander supplies a
reason for the conclusion that physics and mathematics are branches
of wisdom, viz. érevd) dodekvvovor Kal 6 pabnpatiKds Kal 6 pvorkos,
kal ovdérote Wetdovrat, but this cannot properly be read into the text.
It seems more likely that pépy is to be stressed. Because mathematics
and physics do not study their objects gva being but gua continuous or
gua moving, they are merely branches of wisdom; wisdom proper is
K. 4. 1ro61> 18—33 315
the more comprehensive science which studies being as such. This
answers to the corresponding statement inT. 1005» 1 gor 5¢ copia Tis
Kat 4 pvouxy, GAN od zpern.
33. For this wide sense of codéa in which it includes mathematics —
and physics as well as philosophy cf. A. 981227, T. roo5b1, and
EN. vi. 7, where it includes the study of é€ dy 6 xécpos ovvéornker,
the constituents of the physical universe (11419 1),
Defence of the law of contradiction (ch. 5).
1061> 34. There is a principle about which it is impossible to
be deceived—that the same thing cannot at the same time be and not
be. Such truths cannot be proved absolutely because there is no more
certain premise from which they can be inferred.
10628 5. But they can be proved to a particular person, viz. to any-
one who makes contradictory assertions; the method is to assume
something that is identical with the truth in question but does not seem
so to our opponent.
11. People who are to discuss together must to some extent under-
10628 5. But they can be proved to a particular person, viz. to any-
one who makes contradictory assertions; the method is to assume
something that is identical with the truth in question but does not seem
so to our opponent.
11. People who are to discuss together must to some extent under-
stand each other; therefore each of their words must mean something,
and ifit is ambiguous the intended meaning must be indicated. Now
(1) he who says ‘A is and is not B’ is saying that the word B does
not mean what it does mean, and since this is impossible the law
of contradiction is proved.
- 1g. (2) If the word means something and this meaning is truly
asserted of a subject, the subject must necessarily have this character,
and therefore can never not have it; so that the opposite statements
cannot be true of the same subject.
23. (3) If the affirmation is no more true than the negation, ‘Ais a
man’ is no truer than ‘A is ‘not a man’, and therefore a fortior? no
truer than ‘A is not a horse’, and therefore (if contradictions are both
true) no truer than ‘ A is a horse’; so that the same object is a man,
a horse, &c.
gt. If one had argued thus with Heraclitus he might have abandoned
his view ; he adopted it without realizing what he was saying. If his
dictum were true, even it itself would not be true. For if‘ A is B ’ is
no truer than“ A is not B’, ‘ A is both B and not B’ is no truer than
‘A is neither B nor not B’.
by, Further, if nothing can be truly affirmed it is false to say that
no affirmation is true; while if something can be truly affirmed the
dictum of these destroyers of all discussion is upset.
316 COMMENTARY
The chapter covers the ground of IT. 3. 1005» 8-end and of TI. 4,
with the exception of
(1) the argument that if the law of contradiction be denied, substance
is denied and everything reduced to accident (10078 20-» 18),
(2) the group of arguments in 10084 7-b 42,~
(3) the argument that the opponents of the law of contradiction
themselves act upon it (1008 r2—1009%5). For this cf. K. 1063?
28-35.
1061» 341062? 2 answers to 1005” 8-34.
36—106222. Two kinds of contradictory proposition are here
referred to, (1) ‘A is’ and ‘ A is not’, (2) ‘A is B’ and ‘A is not B’
(réAXa. Ta TOdTOV avToIs avTiKe(“eva TOV Tporov). Of these the second
is the more general, since the first may be exhibited as a species of it,
‘ A is existent’ and ‘A is not existent’.
1062? 2-5 answers to 1006? 5-18.
5-I9 answers to 10064 18—1007? 20.
6. S167: Weddo0s. As Bz. points out, an argumentum ad hominem
does not point out the reason of the opponent’s mistake but only its
existence. Thus dud7, must be used in the sense of ‘that’. Cf. Jnudex
200? 39-45.
12, adtav = dhAnAwv. Cf. L. and S. s. v. m1.
5-I9 answers to 10064 18—1007? 20.
6. S167: Weddo0s. As Bz. points out, an argumentum ad hominem
does not point out the reason of the opponent’s mistake but only its
existence. Thus dud7, must be used in the sense of ‘that’. Cf. Jnudex
200? 39-45.
12, adtav = dhAnAwv. Cf. L. and S. s. v. m1.
16-19. In view of 1061> 36—10624 2 (where see n.) the meaning
seems to be ‘ He, then, who says that A is B and that it is not B de-
nies what he asserts, so that what the word B means he says it does not
mean ; but this is impossible, so that if ‘‘being B” means something ’
(or ‘if any word means “ being something” ’), ‘the contradictory of it
cannot be truly asserted of the same subject’.
17. ToUvopa, Sc. TO elvar, Says Bz., but the reference is to any predicate,
cf. tév é6vopatwv exacrov, 1, 13. In 1006 30, to which Bz. refers, it is
not clear whether 70 civai 7} a) etvar is as he supposes explicative of 76
dvopa, OF 70 €lvat 7 pa) eivar Todi is the object of oypaiver, so that 7o
dvowa would be quite general.
18. elwep onpaiver tr 7d elvor Té8e. 7. may be either subject or
object of onpatver.
Ig-23 answers to 1006) 28-34. The meaning is expressed more
clearly in I. dvdyxn roivuv, «i te €otw GAnGes ciety O71 GvOpwros,
Gov civar dirovy (rodro yap jv 6 éojpawe 70 dvOpwros) 12, Protagoras’ saying, ‘man is measure of all things’, is
similar to the views we have been discussing. He means that what
seems to each man is so; then since things seem different to different
people, the same thing will be and not be.
20. The problem will be solved if we consider the origin of this
belief. (1) With some, it arose from the doctrine of the physicists ;
(2) with others, from observing that people have different impressions
about the same thing.
24. (1) That nothing can come into being from not-being but
everything from being is a view common to most of the physicists.
Therefore, since a thing does not become white if it was perfectly
white, the white must come from what is not white ; so that according
to them it must come from not-being, unless the same thing was white
and not white. The difficulty is easily removed; we have stated in
the P&ysics in what sense things come to be from being and in what
sense from not-being.
38. (2) (@) It is foolish to attend equally to opposite opinions.
The same thing never seems sweet and sour to two people unless the
sense-organ of the one has been injured; in that case only the other
man is a measure. So too with good and bad, &c. We might just
as well claim that the object which seems to be two when you press
your eye must de two.
1063* 10. (4) We ought to judge of the nature of things not
from the changes in the things around us but from the changelessness
of the heavenly bodies.
17. (c) Again, if there is motion, there is a moving thing, which
moves from something and into something ; and when it is in the one
it is not in the other,
17. (c) Again, if there is motion, there is a moving thing, which
moves from something and into something ; and when it is in the one
it is not in the other,
as. (¢) Even if things in this world were always changing in
quantity—and the observation of such changes is one of the chief
motives of the theory—they need not be always changing in quality,
and essence depends on quality, which is determinate, not on quantity,
which is indeterminate.
318 COMMENTARY
28. (e) Again, the fact that people act on the doctor’s orders shows
that they think things have a determinate nature which is not always
changing.
35. (/) If we are always changing, the changes in our perceptions
do not show the objects to be changing ; if we-are mo¢ changing, then
there is something that is at rest.
b7. It is not easy to meet those who feel these difficulties on
dialectical grounds, for if they will not posit something and no longer
demand a reason for it, they make discussion impossible; those, on
the other hand, who are puzzled by the traditional difficulties may be
answered as we have shown.
15. Contradictory statements, then, cannot both be true; nor can
contraries, because contrariety involves privation, as may be seen by
analysing the definitions of contraries.
1g. Nor can an intermediate be predicated of the same subject of
which one of the extremes is asserted. If A is white we cannot truly say
it is neither black nor white, for we shall be saying that it is both
white and not white.
24. Therefore neither the view of Heraclitus is right, nor that of
Anaxagoras that there is a portion of everything in everything; if
everything is present acfually in everything, contraries are true of the
same thing.
go. Similarly all'statements cannot be false, nor all true—for this
reason in addition to others, that if all are false this statement itself is
false, and if all are true it will be true that all are false.
This chapter covers almost the whole ground covered in T. 5-8,
the main sections omitted being (1) the references to earlier views in
1009 38—1010% 22, (2) the arguments in 1010 26—1011% 2, 1orT®
17-12,
1062 12-24 answers to 10092 6-16, 22-30.
21-24. Of the two reasons for the Protagorean theory, the first is
discussed in 24-33, the second in 33—1063? 7.
24-33 answers to 1009? 30-36, though not closely.
21-24. Of the two reasons for the Protagorean theory, the first is
discussed in 24-33, the second in 33—1063? 7.
24-33 answers to 1009? 30-36, though not closely.
26-30. ‘Since, then, white does not come to be if the perfectly .
white and in no wise not white existed before, that which becomes white
must come from that which is not white; so that it will come from
what is not, according to them, unless the same thing was white and
not white.’ In the first clause the general sense shows that od goes
with yiyverar, not with Aev«dy, and the use of ov, not 7, confirms this
interpretation. viv dé yeyevypevov py Aev«dy is not only unmeaning in
itself, but spoils the structure of the sentence, since the apodosis should
begin with yéyvour’ dv. adore but rarely introduces an apodosis except
after a parenthesis. Bz. is therefore right in suggesting that viv...
K. 6. 1062 12 — 1063721 319
Xevxov should be excised. These words look like a gloss by a copyist
who took od Aevxdy together in 1]. 26. Baz. is also right in suggesting
the excision of jy after yyvépevov. An alternative would be to insert
pH before Xevxod, where it is read by E (in marg.) T'; but there seems
to be no reason why the case of the not-white coming from the not-
not-white should be substituted for the simpler case of the white coming
from the not-white.
The argument then is:
Nothing can come to be from what is not.
The white comes to be from the not-white.
Therefore the not-white must also have been white.
ZI. év tois puoikots, Phys. i. 7-9, De Gen. et Corr. 314% 14—319? 5.
Aristotle’s answer is that an A which is B comes out of an A which is
but is not B, or which is B poientially but not actually.
338—1063* Io answers to 1010 1-26, 1o1I* 31—34.
1063? 6-10. The illusion referred to is produced by pressing the
finger against the under part of the eyeball, when a single object is
seen as two. The same illusion is referred to in De Somn. 461» 30,
Probl. 958% 24. ‘Toexpect this is just like expecting the things which
appear to people who put their finger under their eye and make the
things appear two instead of one, to be both two because they appear
to be two, and again one.’
9. The unintelligible vulgate reading dvo & eivarhas been produced
by haplography from the correct vo deity civas preserved in JT. ra
pawopeva ... dvo dety eivar is the object of aé:0dv understood.
10. kode. refers not to movement of the eye but to interference
with it.
10-17 answers to 1010 25-32.
15. TO Kata Toy Kéopov, the heavenly bodies.
17-21 answers to 1o10® 35—) 1, though only in a very general way.
17-19. There seems to be no parallel in Aristotle for dpa 2 apodos?
except after a long protasis (all the instances quoted by Bz., De Zvi.
19°18, De Gen. e¢ Corr. 333 29, 337224, De An. 42529, P. A.
642°13, H. NV. 11346 are of this kind); so that Christ is right in
putting a comma after gor. ]. 18 and treating kal xwovpmevdy tu as
apodosis.
except after a long protasis (all the instances quoted by Bz., De Zvi.
19°18, De Gen. e¢ Corr. 333 29, 337224, De An. 42529, P. A.
642°13, H. NV. 11346 are of this kind); so that Christ is right in
putting a comma after gor. ]. 18 and treating kal xwovpmevdy tu as
apodosis.
19, 20. Bz. thinks that Aristotle could not have said ‘the moving
thing must be in that out of which it is to move, and not be in it’,
without indicating that it is at different times that it will be in it and
not in it. He therefore supposes airé to mean that 77/0 which the
moving thing moves. It seems impossible, however, to suppose that
aire refers to anything different from what éxefvm refers to ; and Bz.’s
difficulty is an unreal one. The passage means, as a whole, that
motion implies that contradictory predicates can be asserted of the
changing thing at different times, but not at the same time. ovvady-
OeverOar (1. 21), the reading of A? Al., brings out the point better
than the common reading dAnbever Oar.
QI. Td... Kata Thy ayTibaow = Tas dvyTikepevas pacets.
320 COMMENTARY -
22-28 answers to 1010% 22-25,
23. katmep odx dAnOes dv. Aristotle tries to show in Phys. 253> 13-
23 that growth or diminution cannot go on continuously but proceeds
by jumps.
27. 7) 8 oveia Kata 73 rowdy, in the sense of roy explained in
A. 1020* 33. ‘
28. 16 8€ moody Tis dopictou, the size of things is not definite and
unchangeable as some of their qualities are.
28-35 answers to 1008) 12-24,
32. Christ’s reading rod rpocaybévros, which in a note he describes
as spurious, is a misprint.
35-> 7 answers to 1009? 38—? 33, but with the references to other
philosophers omitted.
b7-16 answers to 10092 16-22, To11? 3-16.
8. ék Adyou, ‘on dialectical grounds’. Cf. 1009% 20 daar Adyou xapw
Aéyovor, LOTI* 4 THY Tods Adyous TovToUs pdvov AcydvTwr, ib. 15 of év TO
Aoyw tHv Biav povov Cytodvtes.
14. ék Tdv eipnpévar, sc. in 1062 20—1063? 7.
17-Ig answers to 1011) 17-22,
19-24 answers, though not closely, to I. 7. rorz1> 23—1012® 24,
That chapter proves that there cannot be a middle between contra-
dictories ; here the point is that a middle between contraries cannot
be asserted of one and the same thing (1. 20), sc. of which one of the
contraries is asserted. The proof is: If the same thing is white and
neither white nor black, it is white and not white; which breaks the
law of contradiction. This is a point not made in TI, though there is
a general correspondence with I. 7.
24-35 answers to 10122 24-)18,
24-25. xa’ “Hpdxdertov . .. Méyovtas is to be understood by reference
to 1062 31—) 2 (cf. to128 25, 35).
25. kar "Avagaydpav. The view referred to is indicated in ll. 26-30
(cf. 10124 27).
Distinction of theology from mathematics and physics (ch. 7).
7.
24-35 answers to 10122 24-)18,
24-25. xa’ “Hpdxdertov . .. Méyovtas is to be understood by reference
to 1062 31—) 2 (cf. to128 25, 35).
25. kar "Avagaydpav. The view referred to is indicated in ll. 26-30
(cf. 10124 27).
Distinction of theology from mathematics and physics (ch. 7).
1063 36. Every science marks out some genus for itself and
studies this, but not gva being; they leave that for another science.
These sciences get the essence of their subject by perception or by
hypothesis, and try to prove the attributes; it is evident from a review
of them that there is no proof of the essence.
1064210. The science of nature is not a productive science, for in
such a science the principle of motion is in the producer and not in the
product, being an art or other faculty ; nor a pracfical science, since
here the motion is in the doer, not in what is done, while physics is
- aaah
SS atta
Ky 6: Fae 5a 22— 7. 1064? 13 321
concerned with things that have a principle of motion in themselves,
It is ¢heoretical, therefore.
Ig. Since each science must know the essence of its subjects, we
must note how the physicist should define. Should he define as one
defines ‘snub’ or as one defines ‘hollow’, i, e. with or without refer-
ence to matter? Flesh, eye, &c., must be defined with reference to
their matter.
28. Is the science of being as being and as capable of separate
existence the same as physics? Physics studies things having
a principle of change in themselves; mathematics studies things
unchanging but without separate existence. If, then, as we shall try
to show, there is a separate unchanging substance, the science of it is
different from physics and mathematics, If there is such a substance,
here is the divine, and the first and most authoritative principle.
by. There are, then, three kinds of theoretical science, physics,
mathematics, theology. Theoretical science is the best kind of science,
and of its species the last-named is best, being about the best object.
6. Is the science of being as such universal? There is a universal
mathematics as well as the various branches. If physical substances
are the primary entities, physics is the first science ; but if there is
a substance which is separate and unchangeable, the knowledge of it is
prior to physics, and universal because prior.
This chapter answers to E. 1 much more closely than the preceding
chapters answer to B and I. It answers the question raised in 1059
26-29.
10642 7. al pev Sv aicOnoews ai 8 broTdpevar, cf. H. rozs’ 11 n.
36. omep metpacdpeba Serxvdvar, cf. A. 6, 7. But see vol. I, xxvii. f.
bg. % Sé kaOddou Kowh wept mdvtwy, cf. B. 10262 25 n.
1g. ka0dhou to mpotépay, cf. E. 10267 23-32 n.
Accidental being and being as truth ; chance (ch. 8).
10642 7. al pev Sv aicOnoews ai 8 broTdpevar, cf. H. rozs’ 11 n.
36. omep metpacdpeba Serxvdvar, cf. A. 6, 7. But see vol. I, xxvii. f.
bg. % Sé kaOddou Kowh wept mdvtwy, cf. B. 10262 25 n.
1g. ka0dhou to mpotépay, cf. E. 10267 23-32 n.
Accidental being and being as truth ; chance (ch. 8).
1064) 15. (1) Let us first examine being in one of its senses—the
accidental. The accidental is not studied by any of the traditional
sciences; the builder does not ask what will happen to the people who
use his house, but studies his own proper end.
23. Nor does any science reason that ‘the musical man who
becomes grammatical will be both at the same time, not having been
so before; but what is, without always having been, must have come to
be ; so that he must have become at the same time musical and gram-
2073-2 Ni
322 COMMENTARY
matical’. It is only sophistic that studies this ; it is the only science
of the accidental, and Plato was not far wrong in saying that the
sophist spends his time on not-being.
30. That a science of the accidental is not even possible will be
clear if we ask what the accidental is. Everything that is is either always
and of necessity (logical necessity, not compulsion), or for the most
part, or ‘as it happens’ (e.g. cold in the dog-days). The accidental
is what happens, but not always nor for the most part, and for that
reason there can be no knowledge of it.
1065° 6. There are no causes of the accidental such as there are of
the essential ; for then everything would be of necessity. If A is
when B is, and B is when C is, and C is of necessity, all the effects
down to the last will be necessary, and contingency will have been
abolished.
14. Similarly, if the cause be not a being but an event, all events
will be necessary ; to-morrow’s eclipse will follow necessarily from
something now existent,
21. (2) Being as truth depends on a combination in thought, and there-
fore we pass it by and fix our attention on independently existing
being ; being as accident is indeterminate and has indeterminate
causes.
26. (3) Teleology is found in things happening by nature or as
a result of thought. It is chance when some such event happens by
accident; chance is an accidental cause of teleological events of the
purposive kind. Hence chance and thought are concerned with the
same objects; for purpose implies thought. The causes of chance
events are indeterminate, and theréfore chance is obscure to human
reasoning and is a cause only per accidens. It is good luck or bad luck
when it turns out well or ill; prosperity and adversity are good
and bad luck on a large scale. Since nothing accidental is prior to the
essential, if chance is a cause of the universe reason and nature are
prior causes.
1064) 15—1065* 26 answers roughly to EB. 2-4, omitting
(1) the account of the various senses of ‘ being’ in B. 1026 34—? 2,
(2) the statement that accidents are neither generated nor destroyed,
1026> 22-24,
1064) 15—1065* 26 answers roughly to EB. 2-4, omitting
(1) the account of the various senses of ‘ being’ in B. 1026 34—? 2,
(2) the statement that accidents are neither generated nor destroyed,
1026> 22-24,
(3) the examples given in 1026 35—10279 5, 10278 23-26,
(4) the reference of the cause of accidents to matter, 10279 13-15,
(5) the discussion of being as truth in E. 4 (just touched on in
10652 21-24).
K. 8. 1064 15 — 1065 28 323
23. It seems best to excise o48€ povotkdy Kal ypappatiKdy, which
is omitted in Alexander and was probably inserted by a reader who
wished to indicate briefly the sophistical question mentioned in the
corresponding passage of E—zérepov érepov 7) TadTov povatKov Kal ypap-
parixov (E. 1026>16, where see n.). od8& povorkdy Kai ypapparikdy
will not stand by itself, and if these words be retained we must intro-
duce after odé either ei with Bz., 76 with Christ, or (best) ei 76 with
Bullinger.
23-26. o08€ tév dvTa... ypappatiKds. The sophistical argument here
given is somewhat different from that in E. 1026 18-20. The argu-
ment is:
A man who being musical becomes grammatical will be both at
once, not having been so before.
But that which is, but bas not always been, must have come to be.
Therefore such a man at the same time came to be musical and
grammatical,—which ex hypothes? he did not.
The fallacy evidently lies in the supposition that because he must
have come to be simultaneously ‘ musical and grammatical’, he must
have simultaneously come to be musical and come to be gram-
matical; dua is ‘conjoined’ with a word to which it does not really
belong. The compiler has thus replaced the fallacy in E. 1026> 18—
20 7 instance of the familiar fallacy of cvvOeors (Soph. El. 166%
23-32).
26. Bz. brackets 8é, and as an alternative suggests 67. But dé is
justified by the passages quoted in Bz. /udex 167% 24-34.
29-30. fiddtwv .. . SiarpiPew, Soph. 237 A, 254A.
34. 4 xpapeOa ev tois Kata Tas dmodetgers, ie. Hy Acyomey TH py
evdéxerOar ddAws, E. 1026> 29.
1065* 21. 16 8 ds dAnOes dv Kat Kata cupBeByKds. The insertion of
py after kai in most of the manuscripts and Alexander is doubtless due
to the previous corruption of dAnOés into dAyGas. uy Kata cupB_ByKds
would be a proper synonym for the latter. Strict grammar would
require 76 kata ovpP_Byxds, but for the omission of the article cf. Pol.
1280) 15, Poet. 1459 2, 37, &c. ‘There is no reason to suspect, with
Bz., that the true reading is 76 8 ws dAnOes dv Kal pn, Kal TO Kare
oupeBinxés.
24. é. Cf. BE. 10282 n. ;
26-> 4. The excerptor now supplements the account of the acci-
dental in the preceding part of the chapter by an account of chance
derived from PAys. ii. 5, 6.
24. é. Cf. BE. 10282 n. ;
26-> 4. The excerptor now supplements the account of the acci-
dental in the preceding part of the chapter by an account of chance
derived from PAys. ii. 5, 6.
28. toUtTwy, i.e. Tov Gvexd Tov. It is hard to see how something that
is for a purpose can happen by accident or incidentally. The context
in the Physics shows that Aristotle means by something évexa tov
something that might naturally result from the unconsciously teleo-
logical action of nature or from the consciously teleological action of
man (Zor, 8 vexd tov dca te ard diavoias dv mpayGein Kal doa dd
icews, 196» 21); i.e. something that fulfils an actual or possible pur-
pose, whether it happens for a purpose or not. Cf. rod KxopicacOou
Y2
324 COMMENTARY
évexa in 196» 35, where actual purpose is expressly excluded, and the
use of réAos in 197%1 of what would naturally be an end of action.
Where a result is produced ‘accidentally that would normally be pro-
duced by purposive action, it is said to be dao rvxns ; where a result
is produced accidentally that would normally be produced by nature,
it is said to be dé rabroudrov. To say that A produces B xara
ovpBeBnxds means (1) that A has a concomitant C which produces B,
or (2) that A produces C which has a concomitant B. But xara
ovp,BeBnxds must be understood also in the light of the explanation of
it given above in ]. 1; to say that A produces B accidentally is to
imply that it produces it rarely.
Torstrik (Hermes ix. 425-470) has tried to show that Aristotle repre-
sents chance results not as those which might naturally be produced by
purposive action, but as those which are actually though incidentally so
produced. But the evidence to the contrary in the Physzcs is too
strong. Cf. 196 22 ay mpaxbetn (cf. 197% 35, 198%6), 196” 33—
197° 5, 197” 21 (where rv mpoaperav must mean ‘natural objects of
choice’, not ‘things acquired as the result of choice’), » 30-32.
Torstrik has to have recourse to emendation to prove his point; he
has to read zpax67 in 196» 22 and to excise Tod KopioacOas evexa ib. 35.
31-32. 81d... Sidvorw, This serves to distinguish téyy from ratro-
patov. tvxn is to purposive thought as ratrdéuaroy is to the uncon-
scious purposiveness of nature.
bo-4. émel 8 ... pious. 70 Kata cupP_eByKds is always an indirect
relation of A to B which implies direct relations of A to C and of Cto
B. rvxy is just the production, by reason, of effects concomitant with
its intended effects, and tairémarov is the production, by nature, of
effects concomitant with those which it constantly tends to produce.
Thus réyn presupposes reason, and ratrouarov presupposes nature.
Aristotle’s attack here appears to be directed mainly against the
Atomists. Cf. Phys. 196% 24, Simpl. 331. 16.
Torstrik has grammatical correctness on his side in inserting rév
after od@év, But probably kara cupB_Byxds is used practically as an
adjective.
Aristotle’s attack here appears to be directed mainly against the
Atomists. Cf. Phys. 196% 24, Simpl. 331. 16.
Torstrik has grammatical correctness on his side in inserting rév
after od@év, But probably kara cupB_Byxds is used practically as an
adjective.
3. el dpa TUXN 7 TO adTéparTov altLov Tod odpavod, This is a clear in-
dication that the latter part of K is an excerpt from the Physics, not
notes preliminary to it. The excerptor is plainly referring to a previous
passage of the PAyszcs which does not occur in K, viz. eiot dé twes of
kal Tovpavod TovdE Kal THY KdcpwWY TavTWY aiTLOVTAaL TO avTOpaToV KTA.
(196% 24-35). The reference is apparently to Democritus,
Potency, actualizgation, movement (ch. 9).
1065» 5. A thing may be, either actually or potentially or both
actually and potentially, a substance, a quantity, or in one of the other
categories.
K. 8. 1065% 31 — 1065» 2 328
7. There is no motion apart from things; for it is with respect to
the categories that change occurs, and there is nothing common over
these. In substance there are form and privation, in quality white and
black, in quantity complete and incomplete, in place up and down, so
that there are as many kinds of change as of being.
14. The distinction of potentiality and actualization exists in each
class of things, and motion is the actualization of the potential as such ;
e.g. when the buildable as such actually exists, it is being built, and this
is the process of building. Motion takes place when the actualization
itself exists, and neither before nor after.
21. Thus the actualization of that which is potentially, when it exists
actually, not as itself but as movable, is motion. The bronze is poten-
tially a statue, but the actualization of the bronze as dronze is not
motion, for it is not. the same thing to be bronze and to be a certain
potentiality.
28. This can be seen from the case of contraries ; to be capable of
health and of disease is not the same thing (if it were, health and
disease would be the same thing), but the substratum of health and of
disease is the same.
32. Motion, then, is the actualization of the potential gua potential.
That motion is what we have defined it as being, and exists only
when the actualization itself exists, is clear. For the actualization of
the buildable as such must be either the act of building or the house ;
but when the Aouse exists it is no longer buildable; on the other hand
it zs the buildable that is the object of the act of buclding. Therefore
the actualization of the buildable is the act of building ; and this is
a movement.
106627. That we are right is shown by what others say about
motion, and by the difficulty of defining it otherwise. It cannot be
placed in any other genus; others say it is otherness, inequality, or
not-being, but none of these need be moved, nor are they the terminus
or starting-point of motion any more than their opposites.
It cannot be
placed in any other genus; others say it is otherness, inequality, or
not-being, but none of these need be moved, nor are they the terminus
or starting-point of motion any more than their opposites.
13. These thinkers define motion thus because it is thought to be
indeterminate and the principles in one of the two columns are inde-
terminate because they are privative; none of them is in any one of
the categories.
17. Motion is thought to be indeterminate because it cannot be
classed either with potentiality or with actualization, since neither that
which can be, nor that which is, of a certain size need be moved.
Motion is thought to be actualization, but incomplete, because that
whose actualization it is is incomplete. It is difficult to grasp the
nature of motion because it cannot be classed either as privation, as
326 COMMENTARY
potentiality, or as unqualified actualization. It must, then, be actualiza-
tion, and the actualization we:have defined ; it is difficult to grasp but
capable of existing.
26. Clearly motion is in the movable ; for it is the actualization of this:
by that which has the capacity to set in motion.’ And the actualization
of the latter is none other; it must be the complete reality of both.
The mover is movent by virtue of its capacity, but moves by virtue
of its activity, and it is on the movable that it has the power of acting,
so that the actualization of both is one, as the interval from one to two
and that from two to one, or the uphill and the downhill slope, are
one, their being not being one.
The excerptor now passes to the discussion of movement, and gives
extracts on it from PAys. iii. 1-3.
The excerptor now passes to the discussion of movement, and gives
extracts on it from PAys. iii. 1-3.
Aristotle begins his account of movement by referring (1065» 5-7) to
the distinction of potentiality and actuality, which is implied in the
definition of movement he is about to give. After pointing out
(ll. 7-14) that movement is always in respect of one or other of four
categories—substance, quality, quantity, or place—and is movement
between the opposite poles, so to say, which exist in the several cate-
gories, he formulates (1. 16) his definition—movement is the actuality
or actualization of that which exists potentially, in so far as it exists
potentially. I.e. movement is not the actualization of the whole
character of that which is moved. Building is not the actualization of
the buildable gua bricks and stones; the buildable is actually bricks
and stones before the building process begins. Building is the
actualization of the buildable gua buildable, and in general of the
movable gua movable. I.e. part of the character of the bricks and
stones is their capacity of being arranged into the form of a house,
and the process or movement of building is the actualization of this
capacity (Il. 23-33). That it is so is confirmed (ll. 20-21, 34—
1006* 7) by the fact that the building process exists just when the
actualization exists. Prima facie either the building process or the
house might be regarded as the actualization of the buildable. Lut when
the house has come into being, the buildable has ceased to be; on the
other hand the buildable exists throughout the building process, since
this implies at each moment that there is still something buildable and
not yet built, some material that has not yet received the last touch
from the builder’s hand. The process, therefore, rather than the pro-
duct, is the actualization of the buildable, and what is true in this case
is true in all cases. Movement is always the actualization of a latent
capacity (10663 2-7).
1065" 5. 76 pev évepyela pdvoy, i.e. pure intelligences; 1d Sé Suvdper,
i.e, such things as the infinite and the void, cf. ©. 1048) 9 ; 7 Sé Suvdper
kat évepyeta, i.e, physical objects comprising both matter and form ;
K. 9. 1065) 5—31 327
gua having form they are already actually something, gua having
matter they are potentially something which they are not yet.
6. 75 pev dv. For dy in the sense of substance cf. Phys. 1917 12,
De Gen. et Corr. 314 28,
7. petaBddder yap del kata Tas Tod dvtos KaTHYopias, i.e. change is
kat ovotayv, the generation or destruction of a substance; kara, roar,
growth or diminution; xara, roudv, alteration; or kata rézov, loco-
motion.
14. tocar el8y doa Tod dvros. This is not strictly true, since there
is (according to Aristotle) eraBoAy in respect of only four categories
(substance, quality, quantity, place) and «vyots in respect of only three
(quality, quantity, place); cf. 106849.
14. tocar el8y doa Tod dvros. This is not strictly true, since there
is (according to Aristotle) eraBoAy in respect of only four categories
(substance, quality, quantity, place) and «vyots in respect of only three
(quality, quantity, place); cf. 106849.
14—1066# 7. An aggregate of bricks, stones, &c., may be regarded
(1) as so many bricks, stones, &c., (2) as potentially a house, (3) as
potentially being in course of being fashioned into a house. The
movement of building is the realization not (1) of the materials as those
materials (they are, previously to the building, already actually
these materials), nor yet (2) of their potentiality of being a house (the
house is the realization of that), but (3) of their potentiality of being
fashioned into a house (7 oixodojntdv). Similarly every movement is
a realization-of-a-potentiality which implies a further potentiality and
only exists while the further potentiality is not yet realized. Hence it
is dreAys (10664 21) and, though in a sense an évépyeza, is distinct from
an évepyeva in the narrower sense in which évépyea implies that no
element of dvvapus is present at all.
16. 4 Tovodréy éorw, i.e. ‘in that respect in which it exists poten-
tially’. Cf. 9 rod duvatod kat 7 duvaroy evredéxesa, |. 33.
1g. kai xvAuus (A>) is awkward, the other words in the list not
being joined by xa. These two words, which are not foundin EJTT,
seem to be a late importation from the Physics, where «ai occurs
throughout the list.
22. It seems quite possible to understand évreAdyeva after dvros, and
we therefore need not read it (with Bz.), against all the manuscripts
both of the Physzcs and of the Metaphysics.
22. Of the variant readings, 7 air 7} dAdo introduces. an irrelevant
distinction, that between self-moving things and things which move
others. That the true reading is o8x 7 adtd ANN 7 KUvyTév is Shown by
the explanation of 7 which follows in ll. 23-33.
28-32. The distinction between the substratum (e.g. house) and
the capacity (e.g. the capacity for being shaped into a statue) is here
brought out by pointing to the fact that a single substratum combines
opposite capacities in itself. The capacity for health is obviously not
the same as the capacity for disease, but one and the same substratum
has both.
gl. ’s reading simply kat evepyevay THY €ipnpevny.
27. €v TO KWITA, SC. OdK ev TO KI TIKO.
28. 7% Tod KwytiKod évépyera odx Ady éotiy, i.e. the actual moving
of the one thing and the actual being moved of the other are insepar-
able aspects of the same event, as the same interval looked at in one
way is the interval from 1 to 2 and looked at in another way the in-
terval from 2 to 1.
28. 7% Tod KwytiKod évépyera odx Ady éotiy, i.e. the actual moving
of the one thing and the actual being moved of the other are insepar-
able aspects of the same event, as the same interval looked at in one
way is the interval from 1 to 2 and looked at in another way the in-
terval from 2 to 1.
29. det pev yap elvar evrehdxerav dpdotv, ‘for it must be the com-
plete reality of both’. The xwyri«éy must have an actuality, viz. 7d
xwveiv, and in this very act it actualizes the xwnrdv, so that one and the
same event is on the one hand the actualization of the xuvyrixdv and on
the other the actualization of the xuwyrév.
péev in de? pev ydp xrA. seems to point forward to éyeu 8 dzopiar,
which follows in the Physzcs (202% 21) but not in the Aetaphysics—
another indication that this part of K is not notes preparatory to the
Physics but excerpts from it.
31-34. Spolws... domep ... Spotws is a good instance of Riddell’s
‘binary structure ’ (Apology of Plato, 198, § 209). Cf. A. 983>16n.
Non-existence of an actual infinite (ch. 10).
1066? 35. The infinite is either that which cannot be traversed be-
cause it is not its nature to be traversed, or that which is traversed with
difficulty, or that which cannot be traversed though it is its nature to
be traversed; again, it is infinite by addition or by subtraction or in
both ways. (A) A separate entity it cannot be; for (1) if it is
neither a magnitude nor a multitude but infinity is its whole nature,
it is indivisible, and if so it is not infinite except in the sense in
which the voice is invisible, which is not the sense in question.
b7. (2) How can infinity exist per se if number and spatial magni-
tude, whose attribute it is, do not so exist?
8. (3) If on the other hand it exists per acczdens, it is not gua in-
finite an element in things, any more than the invisible is of speech,
though the voice is invisible.
11. (4) That it cannot exist actually is clear. For any part of it
must be infinite (since the infinite and infiniteness are the same thing,
if the infinite is a substance), so that it must be either indivisible or
divisible into infinites ; but the same thing cannot be many infinites,
so that it must be indivisible. But that which is actually infinite
cannot be indivisible, for it must have a certain quantity. The in-
finite must therefore exist only per accidens, and therefore not it
but that of which it is an attribute will be the first principle.
330 COMMENTARY
21. The above discussion is general; () that the infinite does not
exist 7 sensible things follows from the facts (1) that if the definition of
body is ‘that which is limited by planes’, there can be no infinite
body whether sensible or intelligible, and (2) that since number is
numerable, there can be no separately existinginfinite number.
26. The same fact is clear from the following physical considera-
tions: (3) the infinite cannot (2) be composite, since the elements
are limited in number; for ome of the elements cannot be infinite,
the other finite, else the former would destroy the latter, and al/
cannot be infinite, since an infinite body must be infinite in all
directions.
34. Nor (4) can the infinite be a simple body, either (i) as some-
thing distinct from the elements from which the physicists generate
the world (for there is no such body apart from the elements ; if there
were such an element in things, they would be seen to be dissolved
into it); or (ii) as one of the elements ; for apart from the difficulty of
supposing one of them infinite, the universe, even if it is finite, cannot
be or become any one of the elements, The same argument applies
as in case (i); everything actually changes from contrary into con-
trary.
1067* 7. (4) The sensible body is somewhere, and whole and part
have the same proper place, so that if (a) the infinite body is homo-
geneous, it will be unmoving or else always moving, but this is im-
possible ; for why should it rest or move in one place rather than
another? Where will any part of it move or rest? The place of the
cognate body is infinite ; will it, then, occupy the whole place? How
could it? It will either rest everywhere and nowhere be in motion, or
move everywhere and nowhere be at rest.
15. If on the other hand (6) the all is not like throughout, the places
will be unlike and (i) the body of the all will not be one save by con-
tact ; (ii) the parts will be either finite or infinite in the number of their
kinds.
18. (a) Finite they cannot be, for if the all is infinite, some parts will
be infinite in size and will destroy the finite. parts; while (() if they
are infinite and simple, the places will be infinite and there will be an
infinite number of elements. If this is impossible and the places must
be finite, the all also must be finite.
23. (5) In general, it is impossible that there should be an infinite
body and at the same time a place for bodies; for if every sensible
body is either heavy or light it will move either towards the centre
or upwards, but neither the whole nor the half of an infinite body can
behave thus; for how can you divide it?
K. 10. 10668 35 — 1066) 26 331
28. (6) Every sensible body is in a place, and there are six
varieties of place; but these cannot exist in an infinite body. And
generally, if there cannot be an infinite place there cannot be an
infinite body; for what is in place is up or down, &c., and each of
these is a boundary.
33. The infinite is not the same thing in magnitude, motion, and
time; motion, if it is infinite, is infinite in virtue of the distance
traversed, and time is infinite in virtue of the motion that occupies it.
This chapter consists of extracts from Phys. iii. 4, 5, 7 on the
infinite.
33. The infinite is not the same thing in magnitude, motion, and
time; motion, if it is infinite, is infinite in virtue of the distance
traversed, and time is infinite in virtue of the motion that occupies it.
This chapter consists of extracts from Phys. iii. 4, 5, 7 on the
infinite.
1066* 35-)1. 16 8 dmeipov...mépas. On the various meanings
of a privative cf. A. 1022) 32.
DT. ér mpoobécer 4 apaipécer 4 dppw. The infinite may be in-
finite in the sense that it may be added to indefinitely (the sense in
which number is infinite, according to Aristotle), or in the sense
that it can be subtracted from (or divided—®dvaipeois is more usual
than d@afpeors in this connexion, cf. Phys. 204% 7) indefinitely (the
sense in which space is infinite, on Aristotle’s view), or in both senses
(as time is, according to Aristotle).
Gude, i.e. xpoabere. TE diretpov Kal datpeoes dmerpov.
Xwpiorov pev 8 adto tu dv. Aristotle considers first the view of the
infinite held by the Pythagoreans and Plato (cf. Phys. 2034). In
the vulgate reading, xwpictov pev 81 adro te dv, aicOyrov & ovx
otov 7 etvat, the words aicOyrov 8 are irrelevant to the argument, since
the question whether the infinite can exist as an object of perception
is not discussed until]. 22. Christ’s emendation aic@yrév 7 does not
remove this difficulty, and it seems better to regard the words as an
unintelligent gloss. The alternative is to read aic@yrov 3 ov, which
would be a fair enough paraphrase of the reading of the Physzcs ywpu-
orov Tov aicOnrav. ‘That the infinite should exist as a thing separate
and existent by itself but not perceptible, is impossible.” The sort of
infinite treated of in the argument in ll. 2-21, which is pyre peyeOos
payre 7AO0s, is in fact an insensible infinite.
8. That number and extension do not exist apart from actual con-
crete things has already been argued in A. ggt" 9 ff.
18. GAG advvatoy 7d évTedeXeEla Sv GaeLpoy, Sc. apepioToV Kal GdLaipe-
TOV Elva.
20. cipy ran, Os
QI. Tov dépa. The allusion is to Anaximenes and to Diogenes of
Apollonia, 716 dptvoy alludes to the Pythagoreans (cf. 203% Io).
25-26. dpiWyntov yap... dprOydv. ‘For number, or that which has
number, is numerable and therefore not infinite.
26. duorkds, i.e. taking account of the physical nature of the infinite
body, viz. the question whether it is simple or compound, as opposed
to the purely abstract consideration in Il. 22-26.
337 COMMENTARY
28. ci memépaytar TH TWANPEL Ta oToLXeta. This has been proved in
Phys. i. 6. :
33. mwdvTn €otat amerpoy, sc..and therefore there can be no second
body alongside of it.
34. For od8€ év 8€ cf. De An. 427? 11, ZL. NV. 1120731.
35. Gs éyouct twes. The reference is to Anaximander.
37—1067°1. od dalverar .. . odpata, ‘we do not see things
resolved into anything beyond, more ultimate than, the four ele-
ments’.
34. For od8€ év 8€ cf. De An. 427? 11, ZL. NV. 1120731.
35. Gs éyouct twes. The reference is to Anaximander.
37—1067°1. od dalverar .. . odpata, ‘we do not see things
resolved into anything beyond, more ultimate than, the four ele-
ments’.
10677 2-4. dduvatov To Grav... 7 etvar H ylyverOar ev Tr adtav. The
reason seems to be given in |. 6 way yap peraBddrdre ef évavriov.
It is said to follow from this that there cannot be (1) an ultimate ele-
ment other than the four, or (2) an ultimate element which is one of
the four. Aristotle takes it as self-evident that (1) an element like
that of Anaximander cannot be contrary to all the four d7Ad owpara,
and (2) that none of these can be contrary to the other three. Further,
any one who represents x as the element of all things, without drawing
Aristotle’s distinction between matter and privation, thinks confusedly
of « as something that persists in the compounds (which is implied in
calling it their element) and yet as something that is left behind when
they come into existence.
4. &mavta ylyveoOat mote mip. Cf. Heraclitus, frr. 30, 64, 66, go.
Zeller i.° 867 translates this ‘all things will sometime become fire’,
and uses it as indicating Heraclitus’ belief in a series of universal con-
flagrations. Professor Burnet corrects the mistranslation (Z. G. P. § 78)
and shows that Aristotle refers only to the Heraclitean doctrine of
‘the upward and downward path’. The evidence for a Heraclitean
doctrine of a general conflagration is late and untrustworthy; cf.
Burnet, §§ 77, 78. Aristotle does not say that there is a time at which
all things together become fire, but that there is nothing which does not
sometime become fire.
5-6. 68 adrds ... puorkot, ‘the same argument applies to this one
of the four elements which is the element of all the others, as applied
to the one apart from the four elements which the physicists (Anaxi-
mander) posited’—for which cf. 1066 35—1067? I.
8. 6 adtds Toros Shou kal popiov. Aristotle does not mean that the
place (i.e. 76 rod repiéxovros 7épas, the inner limit of that which contains
the thing, Phys. 212% 20) of a whole is identically the same as that of
any of its parts, but that the region of the universe proper to a whole
is also the region proper to each of its parts. A clod of earth tends
to fall towards the region proper to the earth, i.e. the part of the universe
next the centre. ;
The argument against an infinite body based on difficulties about
its place discusses it under two alternative hypotheses, (a) that it is
homogeneous throughout (Il. 9-15), (4) that it contains parts of different
nature (ll. 15-23).
otoy tis yfjs- Bz. would add kai Bodov past rom the Physics. But
the PAysics has an altogether fuller text, for it reads not only these
Na) Sh kas Pee BOR SE SRR Os
K. 10. 1066 28 — 1067 10 333
words but further xat rupds kal orivOjpos. otov ris ys is intelligible
enough by itself.
15-23).
otoy tis yfjs- Bz. would add kai Bodov past rom the Physics. But
the PAysics has an altogether fuller text, for it reads not only these
Na) Sh kas Pee BOR SE SRR Os
K. 10. 1066 28 — 1067 10 333
words but further xat rupds kal orivOjpos. otov ris ys is intelligible
enough by itself.
8-15. The argument to show that there cannot be a homogeneous
infinite body is difficult. Aristotle first states the general position, and
then (11-15) illustrates it by taking a particular case. The general
argument is:
(A) If the infinite body is homogeneous, it will be immovable or else
always in motion.
(2) This is impossible.
(C) For why should it rest, or move, down, or up, or anywhere in
particular, rather than anywhere else?
(Therefore (D) there cannot be a homogeneous infinite body.)
Here each of the first three propositions is difficult. (1) The
justification for (A) seems to be as follows: Since the whole is
homogeneous, there is no part of its place which is more appropriate
to one part of the whole than to another. The natural conclusion then
is that each part, and therefore the whole, should remain where it is.
But if the whole should move, then since no part of its place is a more
appropriate resting-place for any part of the whole than for any other,
it will never cease moving.
(2) (B) and (C) (rotro 8% ddvvarov* ti yap paddXov KaTw 7) dvw 3)
éovodr ;) look as if they referred only to the second alternative conse-
quent (det oicfjoerar). But if that be so, the first alternative is never
shown to be false, and the antecedent (ci éuoedés) is never refuted.
rovro dé ddvvarov must be taken to set aside both alternatives. This
it will do if ré yap paAAov Kdétw 7) avw 7) dzovoty be taken to mean
‘why should any part of the whole be resting unmoved, or be
moving, in the downward or the upward or any particular region?’
The question is grounded on the fact that, the whole being homo-
geneous, every part of its region is equally proper to every part of
the whole. xdrw, avw, érovodv must refer to the place of rest, or
motion, of the parts of the infinite whole; as applied to the whole
itself they would be unmeaning. Accordingly Aristotle proceeds to
illustrate his argument by the case of a clod of earth,
g. Simplicius points out that the opposition of dmuoedes to dvo-
povoy is not identical with that of dzAoty to ovvOerov (1066 26).
A oiv@erov is dmoedés if its elements so thoroughly coalesce as to
lose their own nature, as happens in pigis as Aristotle conceives it.
Simplicius points out that the opposition of dmuoedes to dvo-
povoy is not identical with that of dzAoty to ovvOerov (1066 26).
A oiv@erov is dmoedés if its elements so thoroughly coalesce as to
lose their own nature, as happens in pigis as Aristotle conceives it.
10-15. Aristotle now comes to the particular case, that of a clod
of earth. He considers and rejects various alternatives that present
themselves. (1) Will the single clod occupy the whole region of
earth? Obviously not. (2) How else can it rest, or move? (@) Sup-
pose it to rest somewhere, it will equally well rest everywhere (all parts
of the region of earth being alike to it), and so will never move. (4) Sup-
pose it to move in one place, it will equally move everywhere, and so
will never rest. That it should never move, and that it should never
rest, Aristotle treats as alike absurd, in view of his experience of the
fact that earth sometimes moves, viz. when it is not as near the centre
334 COMMENTARY
of the universe as it can get, and sometimes rests, viz. when it is
as near as it can get.
12. It is best to follow most manuscripts of the Physics in read-
ing Tod cuyyevods airy odparos instead of airis Tod cvyyevods cwparos.
The order in the latter reading is very improbable, and Aristotle
seems always to use the dative with cvyyevjs except when it is used
as-a noun,
17. taét, the parts of the infinite body.
18. temepacpeva prev obv obx oidy te. Light is thrown on the argu-
ment by 1066 28-34. A finite number of kinds cannot make an in-
finite whole, because some of them (i.e. at least one) would have to be
infinite in quantity in order to make up an infinite whole, and these
(or this one) would swamp and destroy the others, and prevent the
whole from having the variety it is supposed to have. Aristotle
tacitly assumes that a// the kinds could not be infinite in quantity ;
they are limited by each other and thus cannot all be infinite.
20. xal dmha, ‘and if the parts which differ in species are themselves
simple’. This is important with a view to both the conclusions that
are drawn in |, 21.
21. ei 8€ toér aduvatov, sc. that there should be an infinite number
of elements. ‘This has been proved impossible in P&ys. i. 6.
22. ot tTémot memepacpévor, i.e. there are only six regions, up and
down, before and behind, right and left (Phys. 205» 31).
kal 75 wav dvdykn twetepdvOa, i.e. the universe must contain a finite
number of kinds of part, and therefore (in view of the argument in
Il. 18-20) be itself finite.
24. ei wav cdpa aicOntov 4 Bdpos exer } Koupdtyta. The heavenly
spheres have neither ; but they are not aic6yrd.
29. témou Sé eld €€, cf. ]. 22 n.
35-37. otov Kivnots Kata Td péyeBos ... xpdvos Bé Bid Thy Kivnow,
cf. A. 1020828. Time is dpibods kujoews, Phys. 219% 1.
Change and movement (ch. 11).
ei wav cdpa aicOntov 4 Bdpos exer } Koupdtyta. The heavenly
spheres have neither ; but they are not aic6yrd.
29. témou Sé eld €€, cf. ]. 22 n.
35-37. otov Kivnots Kata Td péyeBos ... xpdvos Bé Bid Thy Kivnow,
cf. A. 1020828. Time is dpibods kujoews, Phys. 219% 1.
Change and movement (ch. 11).
10671. That which changes may change (1) per acczdens ; or (2)
because a part of it changes; or (3) directly fer se. That which
moves another may be similarly divided. There is something that
moves directly, something that is moved, a time in which it is moved,
something from which and something into which it is moved.
9. The forms, affections, and places which are the termini of
motion are themselves unmoved. Change er se does not take place
between all things, but between contraries and their intermediates, and
between contradictories.
K. 10, 1067412 — 11. 1067) 20 335
14. Change must be from A to B, from not-A to not-B, from A to
not-A, or from not-A to A (A and B standing for the positive terms),
so that there are three kinds of change, since the process from not-A
to not-B is not change, these terms being neither contrary nor
contradictory.
21. Change from not-A to A is generation, simple or qualified ;
that from A to not-A is destruction, simple or qualified.
25. If neither that which is-not in the sense that it is a false
proposition, nor that which is-not in the sense that it is only
potentially, can be moved (that which is not white may be moved
per accidens, since the not-white may be a man; but that which simply
is not a particular thing cannot in any sense be moved), that which
is not cannot be moved (and therefore generation is not motion, for
that which is generated is not, and therefore that which is not is—ger
acctdens—generated) ; nor can it be at rest. :
34. A further difficulty is that that which is moved is in a place but
that which is not is not in a place.
36. Nor, again, is destruction motion ; for the contrary of motion
is motion or rest, but the contrary of destruction is generation,
1068" 1. Of the three kinds of change, generation and destruction
(the changes from not-A to A and from A to not-A) are not
motion ; motion must be the change from A to B. The termini are
either contrary or intermediate (privative terms may be treated as
contrary), and are indicated by positive terms such as ‘naked’.
Chapters 11, 12 contain a series of extracts from Pfys. vy. 1-3 on
the nature of change and on the definition of certain general physical
relations.
1067" 6. Bz. is certainly right in omitting 1, with Bessarion and
the Physics. is due to the influence of gor: 8€ 7, Il. 5, 8.
7. Bz. inserts with Bessarion and the Aldine 76 pe before xaré.
ovpB_eBnxos ; but the ellipse Of 76 wév before 75 8€ is not uncommon
in Aristotle ; cf. Bz. Zndex 166 55.
8. 16 kiwvodv mpStov, the proximate mover.
is due to the influence of gor: 8€ 7, Il. 5, 8.
7. Bz. inserts with Bessarion and the Aldine 76 pe before xaré.
ovpB_eBnxos ; but the ellipse Of 76 wév before 75 8€ is not uncommon
in Aristotle ; cf. Bz. Zndex 166 55.
8. 16 kiwvodv mpStov, the proximate mover.
15. €& SroKeypevouv. wtoxeipevov, aS Aristotle says in 1. 18, is here
used not in the sense of substance but in the more general sense of
anything denoted by a positive name, whether this be a substance or
an attribute.
16. otk é§ Gmoxewpévou is idiomatically = e€ ovy tmoxepevov. CF.
Bz. Index 5397 14.
19-20. 4 yap... petaBody. If there is a change from non-A to
non-B we may be sure that the non-A-ness is merely a concomitant
of B, which is the real starting-point of the change, or the non-B-ness
a mere concomitant of A, the real terminus of the change.
336 COMMENTARY
21. Bz. would place ot odk dytiBeors before ore |. 20, and this
would give a reading corresponding more closely to that of Pays.
225%10 7 yep ovK et DroKELpEvov ets ra) DmoKelpevov OvK OTL peraBohn
dua TO py civar Kar dvTiOeow" ove yap évavtia ovre dvripacis é €oTW.
That order is the preferable one, but the order given in the manu-
scripts yields a fair sense. ‘There carinot be change from non-A to
non-B because they are not related as the terms of a change must be,
as contraries or contradictories; they cannot be either, since they are
not opposed at all.’
22. kat dvtipaow. I.e., the relation of the zermznus a quo to the
terminus ad quem is in this case (as opposed to that of change eé
trokeymevov eis U7oxKeipevov) One of contradiction, not of contrariety.
kat dvtipaow. I.e., the relation of the zermznus a quo to the
terminus ad quem is in this case (as opposed to that of change eé
trokeymevov eis U7oxKeipevov) One of contradiction, not of contrariety.
23. 1 pev ATAS Gh, 7 S€ TUds Tis, E.g. when a man is produced
from what was not a man but a seed, this is drAq yeveors; when a
particular kind of man (a man with a particular quality, of a particular
size, in a particular place) becomes a man with a different quality, size,
or position, this is yéveots rus (Phys. 186214, 225214, 15). Any
dAXoiwos, avenos OF POicis, OF hopa is yeveois Tis, and can equally
well be called ¢Oopa tis (1. 24). Thus all the kinds of change recog-
nized by Aristotle are included under the headings of change ovx é&
trokeymevov eis troxelevov and e€ troxeysevov eis pr) UToKElpeEvov.
Nothing is left for the third kind, change é€ ioxeipévov eis troxelpevov
(Il. 15), and in fact Aristotle mentions it no more except very briefly in
106844. The fact is that change of quality, size, or place may be
regarded under either of two aspects. Take for instance change of
quality. Aristotle first intends to bring it under the head of change
e& trroxeipévov eis Uroxeipevov. It is change from X which is A to X
which is B, where A and B are positive and contrary qualities.
He meant to treat only generation as change ovx e& troxeiévov eis
brokeiwevov, but by an after-thought brings qualitative change also
under this heading. It may be described not only as it has beenabove,
but also as change from X which is not B to X which is B. Or again
it may equally well be described as #@opa tis, the destruction of X
which is A.
25. To kata otvOeow 7 Staipeow. This is what is in N. 1089%28
(cf. A. 10174 31, E, 1026735, @. 1051» 1) called 7d ws Weddos put Ov.
7O py ov TO Kata oivOeow is an untrue affirmative, ro px) dv TO KaTa
dvaipeoiy an untrue negative proposition. Untrue propositions might
be thought to change (Aristotle remarks) when they become true, but
they do not really themselves change; they become true by a change
in the facts (Ca. 4% 23 ff.).
26-27. pyre To kata Sivapiw ... dvtikeipevoy. 7d xara Svvapuy pH
év, that which is not, in the sense that it is potentially but not actually
so-and-so, is subdivided into (1) that which is opposed to 76 axAds ov,
and which is dads pa 70d (I. 29), i.e. the a) dv of which ‘not-man ’
is an instance, and (2) that which is opposed to 76 71 éy, i.e. the pa dv
of which ‘not-white’ is an instance (1. 27). These two, with the px dy
as Weddos, are the three kinds of not-being here recognized.
K. 11. 10678 21 — 10682 7 337
29), i.e. the a) dv of which ‘not-man ’
is an instance, and (2) that which is opposed to 76 71 éy, i.e. the pa dv
of which ‘not-white’ is an instance (1. 27). These two, with the px dy
as Weddos, are the three kinds of not-being here recognized.
K. 11. 10678 21 — 10682 7 337
In N. 1089* 26 we get a different threefold division of not-being,
into (1) 76 Kara Tas TrdCEIs, €.g. 7d wy dVOpwros, Td pA) €vOv, (2) 7d ds
Weddos, (3) 7d Kara dtvapw, e.g. 7d pi) avOpwros Suvdper dé dvOpwros,
TO pn AevKov Ovuvdper O€ Aevxov: and the last is said to be the starting-
point of becoming. This division agrees with that in E. 1026? 34,
@. 1051 34, if not-being in the sense of accidental not-being be left
out ofaccount, In A. 1069? 24 Aristotle speaks of three senses of not-
being, but without specifying them, except by saying that one of them
core Ouvaprels
go. The common reading ddvvarov yap To pi) dv Kiveto bau leaves the
sentence without a principal clause, and further does not agree with its
general meaning. Aristotle has said that ro pi) ov has several senses,
and that in two of its senses it cannot be moved while in the third it
can be moved but only per accidens. That that which is not cannot be
moved is evidently not the reason for any of the previous statements
but is the summing up of what results from them. ydp should
therefore be omitted, with JT and Christ. This is confirmed by
Themistius’ words (in Phys. 169. 18) ddvvarov totvuy Ta ovTw pul) dvTa
kweto bar.
32. ci yap kat ori pddiora, Kata cupPeByKds yiyverar, i.e. even if it is
only in virtue of the matter that accompanies it that the privation can
be said to be the /ermznus a quo of generation.
34. Spotws Sé kal 7d Hpepety, i.e. Spuolws ddvvarov Kal Npewely TO uA) Ov
(cf. 1. 30), the words in ll. 30-34 being parenthetical. Rest, being the
privation of movement, is equally inappropriate to that which is not.
34-35. Taird . . . Sucyep. M. 10856, De Caclo 304% 22 lend
support to Jaeger’s emendation, but the sense is rather against it.
35-36. ei... o0x. i here practically = (duoxepées cvp,Baiver) dt, SO
that ov« is not irregular. Cf. Kiihner ii. § 511. 4 by.
10682 2, ai eipnpevar, sc. in 1067) rg.
4. kivyows is sometimes used as synonymous with peraBoAn, includ-
ing all four kinds of change (cf. 106514), more often as including
the three kinds of change other than generation and destruction, as here.
Cf. Kiihner ii. § 511. 4 by.
10682 2, ai eipnpevar, sc. in 1067) rg.
4. kivyows is sometimes used as synonymous with peraBoAn, includ-
ing all four kinds of change (cf. 106514), more often as including
the three kinds of change other than generation and destruction, as here.
5-7. The terms between which movement (as opposed to genera-
tion and destruction) takes place are not contradictories but contraries
or intermediates between contraries. Privative terms, though not
strictly contraries (since only the extreme degree of privation is con-
trariety, @, 1046 14, I. 1055 35), may be classed with contraries
since they stand not for the mere absence of a quality but for its
absence from a subject which is in some degree qualified to have it.
The termini of movement are, unlike the “ermznus a quo of genera-
tion and the ¢ermznus ad quem of destruction, expressed by a positive
word (dydodrau karapdoer), such as ‘naked ’, ‘toothless’, ‘ black’.
‘Naked’ and ‘toothless’ are typical privative terms, but ‘black’ is
for Aristotle a typical contrary. kat dyAoctrar katapdoret, otoy 75 yupvov
kal vwdov Kat éAav therefore follows in sense not on kal yap 7 orépyors
xetoOw éevayriov (which must be treated as parenthetical), but on ra &
brokeipeva 7) évayTia i) meracv.
2578-2 Z
338 COMMENTARY
7. Bz. in Artst, Stud. i. 37 points out that Aristotle displays great
constancy in his choice of examples, and that he nowhere else cites
yupvdy as an instance of a privative term. He thinks either ruddAov
(cf. Cat. 10 passim, A. 1022” 26) or Wuypov (cf. Cat. 12634, De Caelo
286226, De Gen. e¢ Corr. 318” 17) preferable. But yupvov is quite
appropriate, and it would be a mistake to-emend it when the evidence
of all the manuscripts both of PAyszes and of AZelaphysics, and of
Simplicius and Themistius, is in its favour.
Denial of change of change (ch. 12).
106828. There are three kinds of movement—of quality, quantity,
and place; not of substance, because substance has no contrary; nor
of relation, for change of relation is accidental to the terms that
undergo it; nor of agent and patient, since there is no movement
of movement, nor generation of generation, nor, in general, change of
change.
16. For (A) change of change would imply (1) that change is
a subject of change, which it clearly is not; or (2) that some other
subject changes from change into some other mode of existence.
22. But this could only be per accidens. For change is from oppo-
site to opposite. Hence the subject would be changing at the same
time from health to disease and from this change to another, i. e. into
the opposite change, convalescence ; but this can only be per accidens,
just as there is a change from recollecting to forgetting only because
the subject changes into a state of knowledge and then into a state of
ignorance.
e. into
the opposite change, convalescence ; but this can only be per accidens,
just as there is a change from recollecting to forgetting only because
the subject changes into a state of knowledge and then into a state of
ignorance.
33. (2) There will be an infinite regress if there is to be change
of change. If coming to be was sometime coming to be, that which
comes to be something was itself sometime coming to be, so that there
was not yet that which simply comes to be something, but there was
already something coming to be coming to be something. But this
was sometime itself coming to be, so that it was not yet coming to be
something else. Now in an infinite series there is no first and there-
fore no subsequent term, so that there would be no change at all.
»6. (C) Generation and destruction belong to the same subject, so
that that which comes to be is being destroyed when it has come to be
coming to be; it must be then that it is being destroyed, for it cannot
be before or after.
10. (D) What can be the nature of the underlying matter of change
K. 12. 10684 7-8 339
or becoming, and what can it be that they change into? The change
must be change of something from something into something.
15. Since there is no change of substance, of relation, or of action
and passivity, change must be in respect of quality, quantity, or place,
each of which contains a contrariety ; quality meaning not that which
is included in the essence but that which is a mere affection of its
subject.
20. The unchangeable means (1) in general, that which cannot
change; (2) that which changes with difficulty or slowly; (3) that
which is capable of changing but does not change when, where, and
as it might; this alone of unchanging things is said to be at rest, rest
being the contrary of motion and therefore presupposing the same
gubject.
Sundry definitions.
26. Those things are fogether in place which are in the same proxi-
mate place; those things ouch whose extremities are together; those
things are Jefween at which that which continuously changes arrives
before it arrives at the extremes. Those things are contrary in place
which are at the greatest distance in a straight line; that is successive
to another which comes after the beginning and has nothing of the
same kind between it and that which it succeeds. That is contiguous
which is successive and touches.
1069* 2. Since all change is between opposites, i.e. between either
contraries or contradictories, and the latter have no intermediates,
what is between must be between contraries.
5. The continuous is a species of the contiguous ; it is found when
the boundaries of the touching things are one.
1069* 2. Since all change is between opposites, i.e. between either
contraries or contradictories, and the latter have no intermediates,
what is between must be between contraries.
5. The continuous is a species of the contiguous ; it is found when
the boundaries of the touching things are one.
8. ‘Successive’ is evidently the first of these terms; for what
touches must be successive but not vce versa, and the continuous must
touch but not wece versa. Therefore the point is not the same as the
unit; for points have contact but units only successiveness, and points
have intermediates but units have not.
1068°8. In this list of categories qoré, keto Oar, and éxew are omitted
The omission of the latter two is regular; they occur only in Caz, 1b
27, 2%2 f., Top. 103 23. It seems probable that Aristotle had come
to regard them not as categories but as sub-categories—perhaps (as
Mr. Collingwood has suggested to me) merging them respectively in
dudes and é£is, two of the sub-forms of zowy (Caz. 8 26—g* 13).
moré occurs in the common text of the corresponding passage in
Z2
340 COMMENTARY
the Physics (225 6), but is omitted by EH and by Simplicius (and
in the summary in 22623), and its absence is required by the
logic of the sentence. Aristotle shows that there are four cate-
gories in which there is no movement, and concludes that there are
only three in which there is movement._ He must, then, have a
list of only seven in his mind, Such a list occurs nowhere else
in his writings. Simplicius quotes a discussion by Alexander of
the question why there is no movement in the category of time,
and discusses the subject himself (829. 29—832. 25). The reason
for Aristotle’s omission of time here is probably that he saw that
time, having the peculiar relation to a movement of being its number
(Phys. 219>1), could not also be related to it as either subject or
terminus.
10. kat’ ovaiavy 8 ov. There is change (ueraPody) in respect of
substance, but it is not movement (xivyois) but generation and de-
struction, being between contradictories, not between contraries. Cf.
1067» 21, 1068 25.
Sid 7d pybev etvar odcia evartiov, cf. Caz. 3% 24.
II. od8€ tod mpds 1. There is no movement of, i.e. in respect of,
relation, because A may change in respect of its relation to B when A
itself does not change at all but only B. Then the movement of
A in respect of relation is only incidental to a change of B in some
other respect—in size, quality, or place.
12. Schwegler’s emendation petaPBdddovtos py is required by the
sense and is strongly confirmed by Alexander (as quoted by Simpl,
834. 27—835. 2) and by Them. 170. 21~24, as wellas by N. 10884 34.
12. Schwegler’s emendation petaPBdddovtos py is required by the
sense and is strongly confirmed by Alexander (as quoted by Simpl,
834. 27—835. 2) and by Them. 170. 21~24, as wellas by N. 10884 34.
IZ. o08€ movodvros Kai mdoxovtos. I.e. there is not, besides move-
ment in size, quality, and place, another kind of movement in respect
of action or passivity. Movement from one activity to another or
from one passivity to another or from activity to passivity or vzce
versa is, as Aristotle will try to show in ll. 22-33, merely incidental
to alteration, increase or diminution, or locomotion.
It is true that acceleration or retardation, or change of direction
of movement, is incidental to locomotion, but that is no reason why
these should not be viewed as belonging to a distinct class of move-
ments, i.e. movements from one movement to another.
14. ktvodvTos Kal Kivounevou, variant names for the categories of
roeiy and wdoxew. Cf. Z. 1029) 25.
16. There might be supposed to be ‘change of change’, says
Aristotle, in either of two senses. (1) Change might be thought of
as a subject that changes from one state into another. But this is
absurd.
(2) (1. 20ff.). Some other subject might be supposed to change
from a state of change into another mode of being. Simpl. and
Phil. interpret cis érepov efdos in Phys. 225 22 (answering to ets dAdo
el8os, 10684 21) as ‘into another kind of change’, But that is not
a natural interpretation of é« peraBodgzrs eis dAXo efdos. It is true
that in ll. 26, 27 Aristotle says peraBddde... e& airas tavtns THs
E LIBRARY
K. 12. 1069TrQLBBETS CO'LEG ie
petaBorns and Simplicius, wAnv ai pev cis dvtixeiueva odi, 7 8 adi, 7 Kivyots,
‘except that generation and destruction are changes into what are
Opposites in one sense (sc, contradictories, e.g. from not-man to
man or vice versa), while the other, movement, is change into what
are opposites in another sense (sc. contraries, e.g. from up to down,
from small to large, from white to black)’. For this distinction be-
tween generation-and-destruction and the other kinds of change
cf. 1067521 and note, Phys, 23513, 261%8. The readings of
most of the manuscripts of the Physics—j 82 kivnows (H), 4 8 Kivy-
ois ovx dp0iws (FI)—seem to be attempts to get an antithesis to ai
pev eis avrixeipeva Odi after 7 3 dé had been lost by haplography.
The reading of EJI', od xwyoes, seems to have been introduced
from 1, 3.
26. Aristotle now proceeds to illustrate what he has referred to
in ], 23—a change from one change to another, incidental to a change
from one s/a/e to another. aya at first sight seems questionable ; it
would seem that the change from change A to change B must
succeed change A. But, as Simplicius points out, of that which is
changing into something else some part must still have something of
its former quality (T. 1010418). Change A must partly exist while it
is changing into change B,
27. av voonon, ‘if it has fallen ill’.
But, as Simplicius points out, of that which is
changing into something else some part must still have something of
its former quality (T. 1010418). Change A must partly exist while it
is changing into change B,
27. av voonon, ‘if it has fallen ill’.
28. eis dmovavoiy, sc. pera BoAnv, ‘into whatever may be the other
change concerned’,
évdéxerar yap hpepety is difficult. It is, on the face of it, inconsistent
342 COMMENTARY
with the immediately preceding statement that the subject must
have changed into some state of change. Phil. and Simpl. take
Aristotle to be referring to the fact that after falling ill one may
rest in the state of illness, and rejecting that fact as irrelevant to
the case considered. ‘lz the case supposed, viz. that of change from
one change to another, that which has changed from health to
‘disease has also changed from falling ill to recovering (though we
must remember that 27 fac/ it may rest in the state of disease) ’.
One is tempted to read ovx évdéyerar, and to suppose ovx« to have
fallen out by haplography after ézovavotv. ‘For it is not possible,
in the case we are considering, that the subject should be at rest.’
29. kal ér.... dei, ‘and further the change from one change must
not be, in any case, into any other change at random, but into the
opposite change’.
go. The sense requires a comma after the second éorw. ‘So
that it will be the opposite change, viz. recovery of health.’
32. dre pev eis Emorhnuny 6té Sé eis Gyvoray. ayvouay is Prof.
J. A. Smith’s emendation of iyieay. One would expect this clause
to refer solely to the case last mentioned, the change from remember-
ing to forgetting, while tyieay introduces a reference to the remoter
case of change from falling ill to recovering. Further, éré... 6ré
refers naturally not to different cases but to successive stages in the
same case. Again, tyiea in the one case does not answer to érucrjyy
in the other. The corresponding pairs of terms are as follows:
There is primarily a change from health to illness, or from ignor-
ance to knowledge, and incidentally a change from falling ill to re-
covering, from recollecting to forgetting. Thus the corresponding
term to émorjun is vocos. Finally, the change from recollecting to
forgetting is incidental not merely to the change from ignorance
to knowledge but also to a subsequent change from knowledge to
ignorance. On all these grounds, dyvovay seems to be a necessary
emendation ; it is confirmed by the interpretations of Simplicius (842.
18, 24, 26—843. 1) and Philoponus (853. 32, 854. 3).
34. dvdykn Sh Kal thy mpotépay, sc. yeverw yiyverOu. Aristotle
takes up the particular case of yevéoews yéeveous rather than the more
general one of peraBodjs peraBody. If a generation is generated,
its generation must have been generated, and so ad infinitum.
1) and Philoponus (853. 32, 854. 3).
34. dvdykn Sh Kal thy mpotépay, sc. yeverw yiyverOu. Aristotle
takes up the particular case of yevéoews yéeveous rather than the more
general one of peraBodjs peraBody. If a generation is generated,
its generation must have been generated, and so ad infinitum.
35. ami yéveots has not here its technical meaning of generation
as opposed to change in size, quality, or place (cf. 1067) 22 f.)—a
meaning which would be pointless here. It means the original,
simple coming to be as opposed to the ‘coming to be coming to
be’ which has just been mentioned in #34 and will be mentioned
again in b2.
by~g. In the extraordinary variety of readings recorded here by the
manuscripts and the Greek commentators it is hard to choose that
which Aristotle is most likely to have written. There would be
little profit in discussing the readings in detail, but the following
remarks may be made :
K. 12. 1068? 29 — 1068 10 343
(1) The balance of evidence is in favour of omitting da)és in |. 1,
and the sense is not seriously affected by this.
(2) Bz.’s 7 Yeyvd pevov yeyvopevov in |, 2 is what the sense requires,
and is confirmed by érav yevyra yeyvopevov, 1. 8.
(3) There is good evidence for the omission of 70 in 1. 2, but
TO yuyvopevov seems to be needed rather than yuyvépevoy, as the anti-
thesis to te yuyvdmevov yeyvopevov:
(4) The balance of evidence is strongly in favour of 75 as against
ei dy in 1. 3. The sentence which Bz. gets by reading «i dy, viz.
ei dy) Kal todr’ eyiyverd mote, bot ovK Hv Tw TOTE dy ey: is a
more violent instance of dare 2 apodost than any in Aristotle, more
violent even than Phys, 232® 12-14, with which he compares it (Avras/.
Studien Il. III. 109).
I-2. kat Td yryvopevov... yryvduevoy | # | yeyvduevoy, ‘that which comes
to be something (by the simple yéveous) was itself at one time coming
to be, so that there was not yet that which simply comes to be
something, but there was already something coming to be coming
to be something’.
3. Kat Todt eylyvetd Tote, dot’ ok fy Tw tdTe yryvdpevov. There is
the same ambiguity in ycyveoOou here as in 70 yryvopevov éylyvero in
], 1. ‘And this was at one time itself coming to be, so that it was
not yet at that time coming to be something else’, i.e. coming to be
coming to be something, which it was described in |. 2 as being.
Cf. 1. 9, where yyvéuevov must from the context be interpreted as
meaning yvyvopevov yyvdpevov.
‘And this was at one time itself coming to be, so that it was
not yet at that time coming to be something else’, i.e. coming to be
coming to be something, which it was described in |. 2 as being.
Cf. 1. 9, where yyvéuevov must from the context be interpreted as
meaning yvyvopevov yyvdpevov.
6-7. é...0opd. ‘Further, what is capable of one movement is
capable of the contrary movement, and of resting, and what is
capable of being generated is capable of being destroyed.’ Philoponus
understands % évavria with jpeuyors as well as with «ivyous, and takes
Aristotle to mean that what is capable of one sort of rest is capable
also of the contrary rest, i.e. of rest in the opposite region of the uni-
verse. More probably Simplicius is right in taking jpéuynous to mean the
rest which is contrary to the original movement. According to this
view Aristotle means that what can move from A to B can also
move from B to A or rest at A. In any case kat jpéuyors is paren-
thetical, since the possibility of the opposite movement is alone what
concerns the argument.
8-10. dote ... POerpduevov. In accordance with the principle just
laid down, that which comes to be must also cease to be; the question
is, when? Not as soon as it is coming to be coming to be (we must
interpret eds yvyvduevoy as opposed to dray yévnra:, so that another
yeyvopevov is to be understood—or read—after it), nor after it has come
to be (verepoy must apparently mean dray yévyras, as Opposed to drav
yevyrat yryvopevov). For what is perishing must exist ; and the yvyvd-
pevov does not exist at either of those times; at one of them there
is only a yuyvopevoy yeyvdpevov, at the other only a YEVOVOS. It
follows, then, that it perishes when it has become, and is, Yeyropevor 5
i.e. it ceases to be while it is coming to be, which i is absurd.
344 COMMENTARY
II, tis ovv éotat domep ... oUTw TU KTA. is an instance of Riddell’s
‘binary structure’ (Apology of Plato, 198, § 209).
14. The reading of the ‘manuscripts, 2 xivyow, is unsatisfactory.
The words will hardly bear Bz.’s rendering ‘Denn Bewegung muss
Bewegung sein aus diesem bestimmten Etwas in dies bestimmte Etwas,
nicht blosse Bewegung’. To get this‘meaning, one would have with
Lasson to insert dads after pu xivnow, and this might easily have
dropped out before was. But it is better to adopt the reading which
Alexander preferred (Simpl. 854. 21) and which is found in most
manuscripts of the Physics, } yéveow. ‘For it must be the move-
ment or becoming of something from something to something.’
18-19. Aéyw Be 7d movdy od 7d ev TH ovia .,. AAAG TO TaOnTLKOY, Cf.
854. 21) and which is found in most
manuscripts of the Physics, } yéveow. ‘For it must be the move-
ment or becoming of something from something to something.’
18-19. Aéyw Be 7d movdy od 7d ev TH ovia .,. AAAG TO TaOnTLKOY, Cf.
A. 10207 33, » 8, Change with respect to a zo.dv which is év 77 ovate
would be not kivnows but yéveois or pOopd.
_ 22. Bz, seems to be right in preferring the reading of the PAysics
(confirmed by Simpl. and Them.) kat 8uvdpevov ph Kwvodpevoy 8€ to
that of the manuscripts of the JZe/aphysics, pi Svvépevov dé. The
essential, in the meaning of a privative word, is not that the sub-
ject cannot, but that it does not, have the positive attribute when
it might be expected to have it. Cf. Ca/. 12829, A. 1022) 27, ©.
10462 32.
25. The stress is on tod Sextikod. Rest is privation of movement
in that which is capable of movement, and therefore not in things
which are rather non-movable than immovable (76 dAws ddvvarov
kweioOa.).
26—106914. The terms whose relations Aristotle is mainly in-
terested in working out are darecOa, é&fjs, éxouevov, ovvexés. apa
is introduced as implied in the definition of contact, peragv as implied
in the definition of é&js, and évayriov xara Té7ov as connected with the
definition of peraév.
The relations between the four main terms are not altogether clear.
Aristotle begins by defining contact (éardmevov) and succession (és)
quite independently of one another, and says that both attributes
must be united to make an éyopuevoy (10691). Thus, to take
Simplicius’ examples, two successive numbers are not éyoueva be-
cause they are not in contact; and a coat in contact with the body is
not éxdpevoy to it because it is not successive to it, not being of the
same kind (cf. the definition of succession, 1068” 31); but two suc-
cessive houses which touch are éydueva. Later, however, Aristotle
implies (1069 g) that ێjs is a wider term including dropevov. 76 yap
fs ovx amrerat (‘is not necessarily in contact’), rotro 8’ éfjs. If
this be so, if the dréuevov be necessarily é&js, then éyouevov is a mere
synonym of dmrémevov and ll. 1, 2 are misleading.
Finally, the continuous is described indifferently as a species of the
éxdpevoy (1. 5), or of the daropevov (1. 10). It is the species in which
the extremities are not merely together but are one.
K. 12. 1068 11 — 1069 5 345
Thus there is a confusion between two arrangements of the concep-
tions, which may be represented thus:
(1) €Ejs OmrTopevov
| |
‘\ ve | /
pay aarropevov daropevov + €&ns py ess
|
XO /LeVOV
|
| |
ouveEXes pay ovvexes
(2) oe
| |
drropevov = éxdoevov pn €xopevov
|
ovvexes pay ovvexes
The latter is the prevalent classification in Aristotle. In no pas-
sage other than the present is there any attempt to distinguish
exopevov from darropevov.
In no pas-
sage other than the present is there any attempt to distinguish
exopevov from darropevov.
26. doa év évi témm mpdtw. ‘You are ev 76 ovpavG because you are
ev TO dept, ev TO aepr because you are ev TH yp, év TH yy because you
are in this place which contains nothing but you’ (P&ys. 2098 33-
bi). The last is your rézos iSios, ev & pore (ib. * 33), in which you
are directly or proximately.
It is evident, then, that two things cannot be dua xara rémov, for
the place which includes nothing but A cannot include nothing but B,
Yet Aristotle evidently means that in some sense two things can be
dpa Kata torov. ‘Two suggestions may be made as to his meaning.
(1) He may mean that two things are dua if they are in one place
which includes nothing but the two, i.e. where there is nothing be-
tween them. Or (2) he might mean that one thing, occupying one
place, may be two things in the sense that it discharges two functions.
E. g. the ends of two lines which meet may be said to be dua, but this
only means that one point serves as the end of both lines.
But, since dpa is used in the definition not of continuity but of the
less close relation of contact (1. 27), and in the PAyszcs the unity of
the d«pa is expressly distinguished from their being dya (2277 22),
it is evident that the former is Aristotle’s meaning,
33. oloy ypappal ypappjjs, ‘e.g. lines between the given line and
the first line of the series’,
106922-5. émei , . . petagd. This section seems to be out of
place in the manuscripts both of the Aefaphysics and of the Physics.
346 COMMENTARY
The most appropriate place for it would be before évayriov in 1068? 30,
where Prantl proposed to place it. In Themistius’ paraphrase it
comes before peragév in 1068> 247 (Phys. 226.23), and 1068) 26—
27 dpa... dpa(Phys. 226? 21-23) are omitted, This position is, how-
ever, less appropriate ; it is more likely thatthe sentence was originally
a note appended to the mention of +6 jeraév, which has been inserted
at the wrong point in the text.
II-12. év ois 8€... tovrors, This repeats in another form what has
been already expressed by «i cuvexés, darera.
12. dot obk gor otryph povdd: tadtdév. Aristotle is probably attack-
ing the view of Zeno, of whom we are told that ryv otypy os TO ev
Aéyet (Simpl. 99. 10). Or it may be, as Philoponus says, the Pytha-
goreans that Aristotle has in mind, cf. M. 1080 19, 1083? 14.
Tais pev yap (sc. orvypats) bmdpxet TO datecOar. This is inconsis-
tent with the definition of contact in 106824, darecOau dv Tau aKpa.
dpa, Sc. kata Torov (cf. 1. 26). Points have no d«kpa; and they have no
térros, since they do not occupy space and therefore have no zrepiéxov.
14.
Tais pev yap (sc. orvypats) bmdpxet TO datecOar. This is inconsis-
tent with the definition of contact in 106824, darecOau dv Tau aKpa.
dpa, Sc. kata Torov (cf. 1. 26). Points have no d«kpa; and they have no
térros, since they do not occupy space and therefore have no zrepiéxov.
13. kal‘tay pev petatd tu Tay 8 ov. Phys, 227% 30 states this more
fully: kai rov pev évdéxerau etval re peradd (race yop ypappa peragd
otvypav), Tov & odk dvéyKn’ ovdey yap petagd dvddos Kat povados. Ii
there is to be any proper opposition between évdéyerar and ovdK dvdykn,
evdexeras must mean dvdyxy evdexecOar, ‘it is always possible’, and
odk dvdéyxn Must mean odk dvdyKn evdexerOa. Now every line is
between points, and therefore there is sometimes a peragv between
points; but if points ever touched, as Aristotle has (1. 12) said they
can, there would be no peragév between them. And on the other
hand, though successive units have not a peragv, non-successive units
have. Thus the opposition is ill thought-out.
BOOK a
Jaeger (Arts. 229 ff.) has various arguments in favour of an early
date for A.
(1) Metaphysics is here restricted to the study of non-sensible sub-
stance; the study of sensible substance in chs. 1-5 is merely pre-
liminary (1069 36—» 2). But Z contains equally explicit statements of
this view, and //zs argument appears to have no force.
(2) A. 1071» 6 expresses like K (1060% 22) the view that if there
were nothing apart from sensible things there would be no per-
manence in the world. Contrast this with the more guarded state-
ments of Z. 10335, H. 104315. Like K (1060% 12), A (1071? 20,
1073 4) treats the object of metaphysics as being that which is present
in no sensible thing.
(3) There is a very close connexion between A and the early book N.
1072» 30-107323 is based on 1092*g-17, 1075” 37-1076*4 on
Ke-t2 10609" 1T1—1 3 347
1090? 13-20, 10757 25-33 on 10872 29-) 6, 1075*% 34-36 on Iog1®
35-37, 30-32.
But the astronomical theory of Callippus mentioned in ch. 8 belongs
to the period 330-325, quite near the end of Aristotle’s life (Jaeger,
Arist. 365-367, Heath, Aristarchus of Samos, 197,198, 212). Jaeger
points to the difference between the sketchy style of the other chapters,
with its series of terse arguments introduced by such words or phrases
aS pera Tadra Ort, eri, Kal, dua dé, dpolws Sé, 7) Kai (1069 35, 1070? 4,
1074” 21, 25, 36, 38, 1075* 5, 6, 34, © 14, 16, 28, 34), and the ample
style of ch. 8. The astronomical detail of this chapter breaks harshly
into the continuity of the speculative theology of chs. 7, 9.
4,
1074” 21, 25, 36, 38, 1075* 5, 6, 34, © 14, 16, 28, 34), and the ample
style of ch. 8. The astronomical detail of this chapter breaks harshly
into the continuity of the speculative theology of chs. 7, 9.
Aristotle seems originally, in the Iept ®urocodias, to have replaced
Plato’s notion of a world-soul by that of a separate first mover, but to
have retained the notion that each star or planet is moved by a single
star-soul. The doctrine of ch. 8 is due to the influence exerted on
this early mode of thought by Eudoxus’ analysis of each planetary
orbit into several distinct rotatory movements. But the two lines of
thought are not satisfactorily combined ; there remain inconsistencies
which were already pointed out by Plotinus (Zu. v. 1. 9). In
particular the section 1074 31-38 is a fragment (in the curt style
characteristic of A apart from ch. 8) representing the older doctrine,
and inconsistent with the later doctrine of the ‘intelligences’. There
is in this section nothing to which otro in > 3 can refer, but with this
section removed ofrox is seen to refer to Oetwy cwpdrwv in * 30,
Ch. 8 then seems to represent a late venture of Aristotle’s in a field
in which he was not really at home. He deserts here the path of
metaphysical speculation and enters on that of astronomical observation
and mathematical reasoning ; and his prentice hand betrays itself in
the arithmetical mistake of 1074% 13.
Freudenthal’s careful study of the quotations made by Averroes, in
his commentary on this book, from the commentary of Alexander has
established the fact that Averroes had before him the genuine com-
mentary of Alexander (or rather an Arabic translation of a Syriac
version of it), while the commentary which passes under the name of
Alexander is not genuine. He argues with great probability that the
latter work is to be dated somewhere between a. D. 450 and 600. The
same judgement must probably be passed on the commentary on
Books E-K, M, N, which have long been thought to stand on a differ-
ent footing from the admittedly genuine commentary on A-A. The
fact that Averroes was dealing with a translation of a translation greatly
diminishes the value of his citations from Alexander, but some important
348 COMMENTARY
hints are to be got from him. Similarly the value of Themistius’
commentary is greatly diminished by the fact that we possess it only
in a Hebrew translation of an Arabic translation ; but here again some-
thing may be learnt of the text which Themistius had before him,
The three kinds of substance. Change implies matter as well as form
and privaiion (chs, 1, 2).
Change implies matter as well as form
and privaiion (chs, 1, 2).
106918. Our subject is substance. For (1) if the universe is a
whole, substance is its first part, and (2) if it is only a series, sub-
stance is prior to the other categories, Further, these others have
not being in the unqualified sense, or we shall have to say that things
like ‘the not-white’ have it also. Further, none of the other cate-
gories can exist apart. It was of swdsfance, too, that the ancient
thinkers investigated the causes. Modern thinkers owing to their
abstract method make universals substances, but the ancients identi-
fied substance with some particular body such as fire.
go. There are three kinds of substance :-—
(A) the sensible, including
(A 1) the eternal, and
(A 2) the perishable (which is recognized by all)—e. g. plants and
animals,
(&) the unchangeable, to which some thinkers assign separate exis-
» tence;
(a) distinguishing Forms and mathematical objects,
(4) identifying them, or
(c) recognizing mathematical objects alone.
(A) is discussed by physics, (2) by metaphysics.
» 3. Since change is from one contrary or the middle state to the other
contrary, there must-be a substratum which changes (for the contraries
do not change), and which remains when the contrary does not remain ;
and this something is matter.
g. There are four kinds of change—
(1) in respect of the ‘ what ’—generation and destruction,
(2) in respect of quality—alteration,
(3) in respect of quantity—growth and diminution,
(4) in respect of place—locomotion.
14. The matter which changes must be capable of both states. All
change is from the potential to the actual, from that which is not
(actually), but also is (potentially).
20. Anaxagoras, Empedocles, Anaximander, and Democritus all
pointed to matter in their view of the original state of the universe.
24. Different things have different kinds of matter; things that are
A. I. 1069% 19-23 349
not capable of being generated have matter for locomotion. We must
not say with Anaxagoras ‘all things were together’, for if they had not
differed in matter they would not have come to be different, the
reason which was at work on them being admittedly uniform.
32. Thus there are three principles, form, privation, matter.
We must
not say with Anaxagoras ‘all things were together’, for if they had not
differed in matter they would not have come to be different, the
reason which was at work on them being admittedly uniform.
32. Thus there are three principles, form, privation, matter.
1069* 19-21. Aristotle states here two alternative ways in which the
universe may be regarded, (1) as ddov 11, (2) as 7d edeés, i. €. as being
a universe by virtue merely of forming a series. Bz. explains the
meaning of dAoy 7c in opposition to this by reference to I, 1052222 76
drov Kal exov Twa poppy Kai eidos, A. 1016) 12 dv pH 71 GAov 7, TOdTO -
de dy py 7 €ldos exy ev (cf: H. 10457 10, M. 10772 28, 1084? 30). One
may regard the universe as being a unity of form and matter, as every
individual substance (except those which are pure forms) is, and in this
case, Aristotle says, substance, i.e. substance as form, is evidently the
primary element in it. Cf. Z. 10295 70 eidos THs VAns mpdTepov Kat
paddov ov. If on the other hand we regard the universe as consisting
merely of the categories arranged in a series, substance is evidently
the first member of the series.
Bz.’s explanation is, however, not satisfactory. Substance is here
contrasted not with matter but with the other categories. The sub-
stance which is the subject of study in these chapters (1-5) is not
specially substance as form but substance in all the senses enumerated
in A. 8, Z. 2, including substance as matter (1069225, 1070%9), as
form (10707 rr), and as individual thing (1070412). The contrast is
simply that between the view of the universe as a genuine unity, in
which substance is the primary element, and the view of it as forming
a loosely connected series (the view, in fact, of Speusippus, which is
referred to in this book, 1075» 37)—in which case substance is at any
rate the first member.
22. It is doubtful whether we should read aAX¢ with the manuscripts
or otov with Alexander and Bz. The latter is the easier reading ; the
former compels us to take zovéryres in a wider sense than roy, and
to suppose that all the categories other than substance are summed up
under the two headings zowryres and xwyces. Evidently it would be
impossible to bring the categories of relation, time, and place under
either heading ; but at any rate quality and quantity might be grouped
under wowdryres, and roety and rdoyewv under kivyoes, and Aristotle
may have meant the mention of zoidryres and kwyjoes to be suggestive
rather than exhaustive. It would be hard to explain the origin of the
vulgate reading 7adAAa adda from an original radra otov, while ratra
é\Aa& makes the corruption natural enough. Themistius seems
(1. 21-23) to confirm édXd.
23. heyowev your etvar kal Tata, otoy oti 0b NeuKov. ov Xevkdv is
evidently regarded here as the subject of éorw. Aristotle treats a not-
white exists’ as necessarily implied in the fact that, e.g., a man who
happens not to be white exists (cf. A. 10172 18).
350 COMMENTARY
23. heyowev your etvar kal Tata, otoy oti 0b NeuKov. ov Xevkdv is
evidently regarded here as the subject of éorw. Aristotle treats a not-
white exists’ as necessarily implied in the fact that, e.g., a man who
happens not to be white exists (cf. A. 10172 18).
350 COMMENTARY
26. ot ... viv, evidently the Platonists. Alexander unjustifiably
considers the doctrine referred to non-Platonic, but cannot suggest any
other definite school which could be meant.
28. 81a 7d AoyiKds Lyretv. For the use of Aoyixds cf. T. 1005) 22,
Z. 1029» 13, and for similar expressions-_referring to Socrates, Plato,
and the Platonists cf. A. 9873, @. 1050» 35,.\N. 1087) 21.
29. GAN of 7d Kowdy, cdpa, There is no xowdv cdpa (De Gen. ef
Corr. 320» 23), i.e. no kind of body which is the basis of all the
elements. It is better therefore to place a comma after xowev and in-
terpret ‘but not that which is common to them, viz. body’.
30-32. There is considerable divergence here between the various
readings. 7 pev didus 7 O€ POapty... 7 8 didios, the reading of all
the manuscripts, cannot stand, and the best solution is to omit 7 8 didios
with Themistius, and with Alexander as quoted by Averroes. Prob-
ably 4 pev didios 7 5¢ POapry was first corrupted by haplography into
» pev bOapry, and two attempts were made to correct this, one by
mentioning the didvos ovata before the fOapr7, and the other by mention-
ing it later, which attempts both found their way into the traditional text,
The subdivision of perceptible substance into the eternal and the perish-
able, 7js 4 ev... Ga, is doubtless parenthetical, and is dvaykn ra
oroxeia AaBetv refers to aicOy7H ovcia in general. Aristotle proceeds to
this general discussion of perceptible substance in 1069>3—1071? 2,
Bz. thinks jv ravres 6poroyodow must refer to both kinds of perceptible
substance, and proposes to read pia pev aicOynry, Hv ravres 6uodroyodow,
js pev POaptyH... 40 dtdvos, following Alexander and in part Themi-
stius. The eternal perceptible substance (that of the heavenly bodies)
is included among the generally recognized (d0Aoyovpevac) substances
in H. 1042 10, cf. Z. 1028> 12. But the eternity of the heavenly. bodies
was not universally admitted, and jv mdvres dpodoyotow might well
here be said only of terrestrial bodies; Bz.’s proposal is unnecessary.
34-36. twes, Plato and his school. ot pév, Plato, cf. Z. 1028? 19. ot
8é, Xenocrates, cf. Z. 102824 n. ot 8€, Speusippus, cf. M. 1076
20-21 n.
b 1. ary S€ étépas. Aristotle discusses unchangeable substance in
chs. 6-10,
5. 00 Aeukdv yap % pwvy, i.e. voice is an opposite, in one sense,
of ‘white’. Being not white it is contradictorily opposed to white,
Yet there is no change from voice to white or vice versa. Hence
change is not between contradictories but between contraries, which
belong to the same genus as one another (I. 7).
6. ob yap Ta évaytia petaBddder, cf. H. 1044) 25 n.
Being not white it is contradictorily opposed to white,
Yet there is no change from voice to white or vice versa. Hence
change is not between contradictories but between contraries, which
belong to the same genus as one another (I. 7).
6. ob yap Ta évaytia petaBddder, cf. H. 1044) 25 n.
18, katd cupPeBnkds évdéxetar ylyveoar éx ph dvros, i.e. a thing
comes to be out ofwhat incidentally, or in virtue of a concomitant, is not.
Y comes out of an X of which not-Y can incidentally be predicated,
20-23. The traditional punctuation is kal rotr’ éore 7d ’Avagaydpov
ev (BéAtiov yap 7) 6uod mavra) Kat “Epmedoxdéovs 7o piypa kal ’Avagi-
pdv8pov, Kal as Anpoxpirds dno, jv 60d ravra Suvaper, evepyeta 8 ov.
This reading, as Prof. Jackson has pointed out (/. of P. xxix. 139 f.),
A, 1. 10698 26 — 2. 1069? 23 351
presents the following difficulties. (a) Why does Aristotle, who in A.
989 17 identifies Anaxagoras’ vods with 76 & in the Platonic sense of
that term, and his ravo7eppta with Oarepov, here assert that é is a better
description of the zavo7epyia than 600 wdvra? (0) By what right
does Aristotle use ptyya to describe the material principle of Anaxi-
mander, who was a monist? (c) What does Aristotle mean by
ascribing to Democritus the doctrine that jy duod mavra duvdmer,
éevepyeta 8 ob ? (d) Is not the addition of duvdpet, evepyeia 8 ov just what
ought to reconcile Aristotle to Anaxagoras’ theory of the material cause?
To find the material principle of Anaxagoras described as 76 & and
that of Anaximander as 76 piyya is certainly somewhat surprising, and
Liitze proposed accordingly to transpose ’Avagaydpov and ’Avagipav-
dpov. He also renewed Karsten’s proposal to excise BéAriv yap 7)
épod ravra. This, however, isan unnecessary tampering with the text.
Jackson adopts the less violent remedy of reading ov for ev and alter-
ing the - Punctuation so that the sentence reads kal rovr’ é core 70 “Avaga-
yopov ov* BéArov yap }) 6pod mdvra (Kat Epredoxdéous, 70 pty, Kat
“Avagydvdpov, Kat os Anpdxpitds pnow) jv dpod wavra Suvdper
evepyeia 5 ov. On his interpretation (1) the subject of BeArvov yup 7 dod
mévra. is “ Hv dod ravra Suvdper é evepyela. 8 od”, (2) EpredoxAcous and
*Avaéuadvdpov depend on 76 dy, and 76 prypa is parenthetical and refers
to Empedocles alone, (3) the words kai "EymedoxAéous . . . pyow in-
dicate that the doctrines of Empedocles, Anaximander, and Democritus
should, like that of Anaxagoras, be amended by the admission that the
material principle in its elemental state is only potentially existent.
For the phrase cai ds Anpoxpités pnow he compares A. 1071» 26,
De Gen. e¢ Corr. 329213, %1, and for the order of the words
BéArvov yap 7) 6u0d wavta.. . hv duod wavra Svvdper evepyeia 8 od he
compares De An. 435° 5 810 kal rept dvax\dcews, BéATLov 7 tiv ow
éfvotoay dvaxhao bau, TOV dépa TaTXEW UTd TOD aXHWaTOS Kal XpwpaTos
pexpe tep ov dy eis 7.
1071» 26,
De Gen. e¢ Corr. 329213, %1, and for the order of the words
BéArvov yap 7) 6u0d wavta.. . hv duod wavra Svvdper evepyeia 8 od he
compares De An. 435° 5 810 kal rept dvax\dcews, BéATLov 7 tiv ow
éfvotoay dvaxhao bau, TOV dépa TaTXEW UTd TOD aXHWaTOS Kal XpwpaTos
pexpe tep ov dy eis 7.
The first and the third point of Jackson’s interpretation seem to be
right, but in two respects a view different from his seems preferable.
(1) 10 "Avagayopov é& can be defended. It is true that 75 & does not
seem to have been used by.'!Anaxagoras as a technical name for his
material principle. But that principle is called a prypya (Phys. 187% 23,
A. 1012 28), and 76 piypa ev Bovderau civar (De Sensu 447” 10), so that
zo &v iS not an inappropriate name for it, and in PAys, 187% 21 it is
actually called é&. It is true that in contrast with vots it may be
opposed to ‘the one’; but in contrast with the various substances that
come out of it it is properly called one.
(2) It is not necessary to take ’EyzedoxAéovs 76 prypa kal’ Avasiyavdpov
in the awkward way in which Jackson takesit. It has commonly been
thought necessary to apologize for, or explain away, the description of
Anaximander’s dzeipoy as a piypa. Thus Zeller supposes that it is by
an ‘easy zeugma’ that piyya, which is strictly applicable to Empe-
docles, is applied to Anaximander (i? 279n. 1), and Prof. Burnet at
one time (Z. G. P.? 59) regarded kat "Epzedoxhéous 70 piypa as an
352 COMMENTARY
afterthought and held that “Avagiudvdpov depended on 76 & (he now,
ed. 3, p. 56, takes “Avagimavdpou to depend on 76 piypa).
Zeller has little difficulty in refuting (i.6 277-283) Ritter’s view that
Anaximander’s dzreipoy was a mechanical compound in which the
elements were actually present, and he-therefore thinks it can only
loosely be called a ptyya. But the fact is that in Aristotle’s terminology
“the word piyya (a complete fusion) is more appropriate to Anaxi-
mander’s dzepov in which the elements were only potentially present
than to the original matter of Empedocles and Anaxagoras in which
they were actually present. The latter isa mechanical ovvOerov rather
than a genuine piyya. It is true that Aristotle nowhere else calls
Anaximander’s deipov a piywa. But then he mentions Anaximander
by name only five times; and further he may have avoided the ex-
pression elsewhere because Anaximander himself had not used it,
while he uses it of Empedocles probably because Empedocles used it
himself, in a natural though non-Aristotelian sense.
25. Bz.’s conjectural insertion of érepa appears not to be necessary.
Schwegler’s parallels for aAN’ érépay, A. gg1» 10, H. 1044230, I.
1058) 15, are not sound, but the use of &\Ao for dAXo a\Aov in 10718
28 seems to be a good parallel.
26. GAN ov yernthy GANG moOEv ol, i.e. not the matter presupposed
by generation but that presupposed by spatial motion, the ‘local
matter’ of H. 1042 6.
gg1» 10, H. 1044230, I.
1058) 15, are not sound, but the use of &\Ao for dAXo a\Aov in 10718
28 seems to be a good parallel.
26. GAN ov yernthy GANG moOEv ol, i.e. not the matter presupposed
by generation but that presupposed by spatial motion, the ‘local
matter’ of H. 1042 6.
26-28. dmopycee 8 Gv... ov refers to x pi) dvros |. 20, the historical
discussion being parenthetical.
27. Tpix@s yap Td py dv. The three senses are given in N. 10898 26
(in a similar context): (1) 7d kata tas trades (the categories), i.e.
that which is not a man, that which is not white, &c. (2) 76 ds Weddos, i.e.
false propositions. (3) 7d xara dvvapuy, i.e. that which is not a man but
is potentially aman, &c. The same list is found in ©. 1051%34. Aris-
totle answers explicitly in N, as he does implicitly here («i 34 te éore
dvvdper,]. 28), that it is from the third kind of not-being that generation
proceeds. Alexander gives a similar account of the three senses, except
that for the first he substitutes 76 pnday7 pndapds dv, that which in no
sense is. He is here doubtless following the suggestion of K. 1067 25-
30, but inaccurately, for we have there (1) 76 xara ovvOecow 7) diaiperw
(76 ds Weddos), (2) 7d Kata Sivapuy, (2) 76 TS Ards OvTL avTiKEtpevoY
(rd dardGs pt) Tdde), (0) 7d ur) AcvKov 7) pH ayabdv. K, however, does
not offer a list of three senses of not-being so definitely as does N,
nor is the context so similar to the present passage, so that N is
doubtless to be followed here.
28. ei 84 Ti gore Suvdper, GAN’ Spas of Tod TuXdvTOs, ‘if a thing exists
by virtue of a potentiality, still it is not by virtue of a potentiality for
anything and everything ’.
29. duod mavta and gr. 6... vods show that Aristotle is thinking
primarily of Anaxagoras, but his remarks apply also to the other
thinkers mentioned in Il. 21, 22.
32. eketvo, ie. éxelvo povor.
A, 2. 1069 25-34 353
ot is explicable in the same way as rod tvxévTos, |. 28, so that
Schwegler’s conjecture 6 is unnecessary.
32-34. tpia 8)...dAn. For this list of the implications of change
cf. Phys. i. 6, 7. In view of the stress laid on orépyous A stands closer
to the PAysics than to Z, which works for the most part with the simple
opposition of tA and ides.
Generation considered. If form ever exists apart from the concrete
individual, tt ts in the case of naturag objects (ch. 3).
1069» 35. Neither proximate matter nor proximate form is gene-
rated. For in all change something (matter) is changed by something
(proximate mover) into something (form). If not only the bronze
came to be round but also the round or the bronze came to be, this
would involve an infinite regress.
1070? 4. Every substance comes from another of the same kind,
(A) by art (where the principle of becoming is in something else),
(B) by nature (where the principle of becoming is in the thing
itself),
(C) by luck (which means the absence of art), or
(D) by spontaneity (which means the absence of natural process).
g. There are three kinds of substance—
(A) matter, which is af¢arenily an individual something but coheres
merely by contact, not organically,
(B) the individual nature and positive state of a thing,
(C) the resulting individual.
13. In the case of the products of art, the individual form does not
exist apart from the concrete result, except in so far.as the arf is the
form; nor do the forms of such things come into being or pass out of
being ; if the form ever exists apart, it is in the case of natural objects.
Plato was not far wrong when he said that there are Forms of xafural
objects, if there ave Forms distinct from sensible things. *Such as
fire, flesh, head, which form a series of materials progressively
approaching the complete substance * (these words should probably be
transferred to 1. rr).
21. Motive causes precede, formal causes are simultaneous with, the
thing they produce. It is a further question whether the form ever
survives the thing. E.g. the reasonable part of the soul may survive
the body.
26. So far, there is no need for Ideas. The individual produces the
individual of the same class, and each specific art is the cause of its
specific result.
2578-2 Aa
354 COMMENTARY
1069” 35. peta taita Sr, ‘next we must observe that’. This
phrase (repeated 1070 4) is one of the clearest indications of the fact,
apparent throughout chs. 1-5, that Aristotle is jotting down notes for
a treatise (or lecture), not writing a treatise in its finished form; cf.
107122n. Alexander remarks on the ‘confused and disordered’
form of the book (673. 34).
36. Aéyw Sé 7a ecyata, Alexander takes Aristotle to mean the ulti-
mate matter, that which is farthest from the individual yryvopevor, and
the proximate form, that which is nearest to it (‘ Socrates’ as opposed
to ‘flesh’). But it is impossible that éxxaros should have opposite
meanings in the two cases. If the éoydry vAn is dveideos tAy the éoxa-
tov eidos should be diAov efdos, and this is what ra éoyata means in
Meteor. 390*5. The instances Aristotle gives, however, are roundness
and bronze (1070 3), which are instances of the proximate matter and
form, those immediately involved in the yéveous, and it is of these that
in Z.-8 Aristotle has shown that they are not generated (1033 29),
i.e. are not generated in the process of generating the bronze sphere.
The bronze has been generated by previous processes, but that is
beside the question. In saying A€yw de ra éoxara Aristotle does not
mean that ultimate matter and form ave generated, but merely that he
is not speaking of them. For éoxaros in the sense of ‘ proximate’ cf.
Bz. Index 289” 85—290%2. Cf. also reXevraia tAy 1070* 20.
In saying A€yw de ra éoxara Aristotle does not
mean that ultimate matter and form ave generated, but merely that he
is not speaking of them. For éoxaros in the sense of ‘ proximate’ cf.
Bz. Index 289” 85—290%2. Cf. also reXevraia tAy 1070* 20.
1070" I, mpdérou also must mean ‘immediate’ or ‘ proximate’. For
this sense of rp&rov xwoiv cf. Phys. 243° 3, 14, 24528, 25, Pr. It is
awkward that while éoyarov means ‘last, counting from the original
state of things’, zpGrov means ‘first, counting from the yryvdpevor’,
but Aristotle is indifferent to such inconsistencies.
4. peta taita dtu, cf. 1069) 35n.
Exdoty €k ouvwydpou ylyvetat ovcta. éx here refers not to origin but
to agency. It is the agent of production, not the material, that is
ovvevepov With the product.
5. Ta yap cet otciat kal Ta aAda, a note to show that substance
is being taken to include not only natural substances such as the word
primarily suggests (cf, A. 1017 10, Z. 10289, H. 10427 7 duoAoyov-
pevar piv at pvorxai), but also products of art, chance, or spontaneity.
6-g. Aristotle holds that, in natural and artistic production alike,
A produces an actual B out of a potential B by virtue of the fact that
A has the form of B in it. The male parent produces the offspring
out of the matter contributed by the female parent, by impressing on
the matter the form which is the form alike of the male parent and of
the offspring. The artist produces the work of art out of the raw
material by impressing on the latter the form of the product, which he
‘has’ by virtue of knowing the art in question. The difference is that
in the first case the producer ‘ has’ the form in the same sense in which
the offspring will have it, and is therefore called by the same name,
while in the second case the producer ‘ has’ the form only in the sense
of knowing it, and is therefore not called by the same name. Thus
a house is not produced by a house but by the ‘form of house’ in the
A. 3. 1069) 35 — 10702 9 355
builder’s mind, and is therefore not produced strictly éx cvvwvtmov (or
e€ duwvdpov, used loosely in Z. 1034* 22 in the sense of éx cvvwvdpov)
but é« pepovs duwvdpov, from a part of itself which shares its name
(Z. 10347 23).
The difference stated in 1. 7 between art as an dpyi) Kwyoews ev
@\Xw and nature as an dpyiy év aird is Aristotle’s usual distinction
between them. It is appropriate to most natural processes, where
a living being produces changes in itself, but is not appropriate to
generation, where the change produced is év 4\Aw. The definition of
nature really breaks down in the case of generation, but Aristotle
would presumably seek to justify it by saying that in some sense the
parent and the offspring, being members of the same species, are the
same, or that in some sense the offspring is a part of the parent (cf.
£. N. 1134" 11, 1161 18),
£. N. 1134" 11, 1161 18),
8. dvOpwmos yap dvOpwrov yevva. ‘This is, as we have seen, not
a good illustration of nature as an dpyy év até, and Alexander sup-
poses that these words go with éxdory ex cvvwvipou yiyverat ovoia (1. 5).
But if placed after these words they would break very awkwardly the
connexion between these words and ra. yap picet otoiat al ra GAAa. It
seems better to suppose (r) that Aristotle wrote them carelessly as an
illustration of the dpyy ev atré, or (2) that a copyist borrowed them
from |. 27 below. The fact that the words already existed in their
present place in the time of Alexander (cf. Alexander apud Averroem
82. 3) makes one hesitate to adopt this otherwise attractive supposi-
tion.
ai 8é€ owmat airiar (sc. TUN Kal TavTdpaTov) aTepyoets ToUTwY.
tovToparor is strictly the generic term, including all cases in which (1)
something that is normally produced directly by the unconscious teleo-
logy of nature is produced as a merely incidental result of a natural pro-
cess, or (2) something that is normally produced directly by purposive
human agency (here rather narrowly described as réyv7) is produced as
a merely incidental result of a purposive act (PAys. 197) 18, ® 36);
while rvx7 is confined to the second type of case (PAys. 1977 36, » 2,
20). Sometimes, however, riyn and rairdéuarov are used without dis-
tinction in the general sense, and sometimes (as here) tattépuatov
tends to be confined to the first type of case, t¥yn being the orépyors
téxvys and rairdéuarov the orépyois picews.
Aristotle has said that all substances are produced ék cvvwvvpov, and
that some are produced by rvyy or tavropatov. But he does not mean
that these are produced éx ovvwvdmov; spontaneously produced animals
are produced ov dm ovyyevav (H. A. 539% 22), and in chance events
the art which is ‘synonymous’ with its product is lacking. He views
chance and spontaneity, which are the negations of art and nature, as
the exceptions that prove the rule. The words ‘chance’ and ‘spon-
taneity ’, being meant merely to indicate the absence, in certain cases,
of artistic or natural action, indicate that such action, with the ‘ synony-
mity’ which it implies, is the normal thing.
Q. ovoiar Sé tpeis, cf. Z. 10299 2.
Aa2
356 COMMENTARY
The words ‘chance’ and ‘spon-
taneity ’, being meant merely to indicate the absence, in certain cases,
of artistic or natural action, indicate that such action, with the ‘ synony-
mity’ which it implies, is the normal thing.
Q. ovoiar Sé tpeis, cf. Z. 10299 2.
Aa2
356 COMMENTARY
10. Td8e TL oda TH patvecOar. None of the attempts at emending
this phrase seems at all successful. It is possible to make something
of it as it stands. Ps,-Alexander interprets ro daiveoOor as kara pav-
taciav, and Bz. follows him in supposing that the meaning is that
matter is a ‘this’ to the eye of imagination, since it has the power of
becoming a ‘this’.- This interpretation of +d gaivecOa1, however,
seems impossible, and it is better to adopt the simpler interpretation
which, with others, is given by Alexander as quoted by Averroes, viz.
‘which is a “this” in appearance’, I.e. to outward appearance the
material parts of a whole as they lie side by side look like an indi-
vidual thing, but if the organic unity is not there the appearance is
deceptive (dca yap apy kal py cupdtoe, vAn Kal doKeipevov).
Cf. Z. 1040 5 rav doxovady elvan obordv ai wAciorar Suvdpets iol, Ta TE
popta Tov Cow... Kal yy Kal wdp Kal dnp.
It must be admitted, however, that this interpretation of otca To
daiver Oar as = dhawvopeévn civat is not altogether satisfactory.
10. For cupopice cf. Z. 1040) 15, n.
11. The vulgate reading % d& pious Tdde Tu Eis HY Kat Eis Tus is intoler-
ably harsh, and it seems best to read, as Alexander apparently did
(676. 30), 4 d& vous 76de 71 (sc. ota from |. 10) Kal és Tus els HY (Sc.
» yeveois éorw). For the description of the form as a ‘this’ cf, A.
1017) 25 n.
13. 76 708e tL, ‘the individual character’, i.e. the form, which has
already been called réde ru in 1. 11.
14. et py H Téxvy, i.e. the form of the house has no existence
separate from the house except as the art of house-building ; cf. Z.
1034? 24 7) yap Téxv7n TO «loos.
15. 008 éote yéveors kat pOopa tovTwy kth. Aristotle is not referring
to the general fact that forms come into being not by a process but
instantaneously (Z. 10335), but to some mode of ‘being and not
being without generation and destruction’ which is peculiar to the
forms of arfefacta. This can only be the artist’s instantaneously think-
ing of them and ceasing to think of them. So Alexander interprets
the words.
17. G\N’ elwep, emt tav ducer. This goes back in sense to éml pev
ovy tTivav KTA. (I. 13), ll. 15-17 being parenthetical.
Aristotle does not think that the form of living things (ra @¥cet), i. €.
their soul, is in general capable of separate existence. Cf. Phys.
193% 4, De An. 403°16, It is only reason that can exist apart (De
An. 413) 26, 430917, G. A. 73799, £. WV.1178% 22). Herevhe
simply says that at any rate the forms of lifeless things canmof exist
apart.
€.
their soul, is in general capable of separate existence. Cf. Phys.
193% 4, De An. 403°16, It is only reason that can exist apart (De
An. 413) 26, 430917, G. A. 73799, £. WV.1178% 22). Herevhe
simply says that at any rate the forms of lifeless things canmof exist
apart.
18. For Plato’s limitation (though not in the dialogues) of the Ideas
to natural objects cf. A. 991» 6n. It is noteworthy that the doctrine
is ascribed to Plato himself and not merely to the ‘ believers in Ideas’,
But Alexander as recorded by Averroes read ot ra cidy riBepevor
épacav, and Themistius seems to have had the same reading (8. 13).
Ig. elwep Eotw eiSn GAAa ToUTwy gives a good sense, ‘if there are
A. 3. 1070% 10—21 35%
Forms distinct from the things here on earth’ (rév dedpo Kal aicOyrav
Al.). tatra does not seem to be used in this sense elsewhere by
Aristotle, but it is by Plato (Parm. 133 p 3, Phil. 5885, 62A9). If
we adopt this reading we must suppose with Alexander that ofov . .
teXevraia (Il. 19-20) is out of place, and is really a note to doa. . dzroKel-
pevov (Il, 10-11). Bz.’s interpretation, ‘if there are Forms other than
these things, i. e. than fire,’ &c. gives an unnatural sense.
If we read add’ od to’twv, we should have to interpret rovrwy as
referring forward and as explained by oiov rip oapé kepady. But (1)
Tovrwy otoy in this sense is very unnatural, and (2) the denial of Forms .
of fire, flesh, or head does not agree with what we know of Plato’s
theory. otov...teAevrata would come in much more naturally in
], 11, and it must be remembered that the first five chapters of A pre-
sent, more perhaps than any other part of the AZetaphysics, the
appearance of a rather hastily put together series of notes, in which mis-
placements are likely to have occurred. Cf. note on 1069? 35,
19-20. Fire, being a drAotv cpa, is the sort of material out of
which flesh, a djovopepés, is made. Flesh is the sort of material out
of which the head, an dvopovopepés, is made. The head is the sort of
material out of which a living body, which is a substance in the full
sense, ismade. Cf. G. A. 715%9—-11, Z. 1040? 5-10,
Flesh is the sort of material out
of which the head, an dvopovopepés, is made. The head is the sort of
material out of which a living body, which is a substance in the full
sense, ismade. Cf. G. A. 715%9—-11, Z. 1040? 5-10,
21-26. This passage has been used by Brentano as one of the main
arguments for his view that the human reason, though imperishable, is
not pre-existent from eternity, but is created by God at some point in
the development of the embryo. This view is opposed not only to the
explicit statement that reason is eternal (De An. 430% 23), but to the
principle that what cannot perish cannot have been generated (De
Caelo 282° 31, 283%29, » 19). Aristotle’s assertion that the formal
cause is simultaneous with its effect (I. 22) implies, no doubt, that it
not only is when its effect is, but comes into being when its effect
comes into being (Az. Post. 95% 22). But that of which Aristotle says
that it may persist after the effect (the living body) has perished (Il. 24—-
26) is not the same thing which is described as coming into being
when the living body does. The soul as a whole comes into being
with the body and (J. 26) perishes with it; but something (ru ]. 24),
i.e. some element of the soul, may persist, viz. the reason, or more
definitely the vots mountixos (De An. 430%17); and this Aristotle cer-
tainly conceives as existing before birth no less than after death. ‘The
soul is both generated and perishable, but there is 71 rs Wuxjs which
is neither.
The reference to the eternity of reason is parenthetical ; the main
point of the passage is to set aside the Platonic notion (cf. 1. 18) that
Forms exist apart from and independently of the things whose Forms
they are. Rather, they exist only when the concrete things do
so, and only as elements in them. Further (Il. 26-30), separate
Forms are not-necessary in order to explain generation; in natural
production the cause is an individual parent, in artistic production it is
the art, which must be present in the mind of an individual artist.
358 COMMENTARY
For the uselessness of the Forms in explaining generation cf. Z.
1033? 26.
QI. T& pev ody KivodvTa aitia (sc. airid éotiv) OS Tpoyeyeyneva. OvTa,
In what sense all things have the same causes (chs. 4, 5)»
1070* 31. (A) The causes of different things are different, but (2)
analogically all are the same.
35. (A) (1) What could be the common cause of relations and
substances? There is nothing common to the several categories and
prior to them; nor can substance be an element in relations, nor
vice versa.
b4. (2) No element can be the same as the complex which includes
it (nor, therefore, can any of the intelligibles such as being or unity be
the common element, for these are predicable of concrete things).
Therefore no element is either substance or relation; but there is
nothing else it can be.
b4. (2) No element can be the same as the complex which includes
it (nor, therefore, can any of the intelligibles such as being or unity be
the common element, for these are predicable of concrete things).
Therefore no element is either substance or relation; but there is
nothing else it can be.
10. (B) But (1) all sensible bodies have a form (e.g. heat), a priva-
tion (e.g. cold), and a matter. All things have by analogy the same
elements, in that they all have form, privation, and matter; but these
are different in detail for each different class of things.
22. Besides the internal causes or elements there is an external
moving cause. There are three elements but four causes. The
immediate moving cause, like the other immediate causes, is different
for each different thing.
go. In nature the moving cause is a similar individual, and in art
it is the form (or its contrary), so that as the efficient cause = the
formal, we may say either that there are three or that there are four
causes. Besides these there is the first mover, which is common to all
things.
36. (2) Things which can exist apart are substances; the causes of
all things are the same because affections and movements cannot exist
without substances. These causes are, perhaps, soul and body (or
reason, desire, and body).
1071* 3. (3) In another sense all things have the same principles
analogically—viz. potentiality and actuality—though these are different
in different cases, and apply in different ways.
6. They apply in different ways; for (a) in some cases the same
thing is at one time actual, at another potential. This distinction
can be brought into line with the previously named causes; the
A. 3+ 10707 21 — 4. 1070) 8 359
form (if it is separable), the concrete product, and the privation exist
actually, the matter potentially.
11. (4) The distinction of potentiality and actuality takes a different
shape where cause and effect have not the same matter (the form also
in some cases being different). The causes of a man are not only
(as in (a))
(i) his matter (fire and earth) and his peculiar form, but also
(ii) his peculiar external cause (his father), and
(iii) the sun and the ecliptic, which are neither the matter of the man
nor his form nor the privation of his form nor identical in form with him,
but the efficient causes,
17. Some causes can be stated universally, others cannot. The
primary causes are the individual moving cause and the matter. The
universals do not exzs¢. Man is the cause of man, but there is no uni-
versal man, It is Achilles that exists, and his cause is Peleus.
24. If the causes of substances are causes of all things, yet things
in different kinds have different causes, which are only analogically the
same; and things in the same kind have causes the same in kind but
numerically different.
24. If the causes of substances are causes of all things, yet things
in different kinds have different causes, which are only analogically the
same; and things in the same kind have causes the same in kind but
numerically different.
29. The causes of things in different categories are the same or
analogous (i.e. they are always matter, form, privation, mover), and
the causes of substances are the causes of all things in the sense
that with their destruction all things are destroyed. Further, the
primum movens is the same for all things. But there are as many
different causes as there are pairs of individual contraries, and the
matters of different things are also different.
1070” 3. tdv mpds tt. The category of relation, which is that
farthest removed from substance (N. 1088* 23), is here taken as typical
of all the categories other than substance. Substance cannot be the
elementary constituent of relations, since what consists of substances
must itself be substance. Nor can a relation be the elementary con-
stituent of a substance, since substance is prior to the other cate-
gories and elements are prior to their compounds (I. 2); cf. Z. 1038?
23.
er ovde ... cuvOeTwy is clearly parenthetical, for avrév |. 9 refers
not to ray voytay nor to rév ovyOerwv but to ray croxeiwy, 1. 6. The
meaning must be ‘nor is any of the intelligibles, therefore, e. g. unity
or being, an element in things ; for these terms are predicable even of
each of the composite things’ (and therefore cannot be their elements,
on the principle stated in ll. 5, 6). The use of the partitive genitive
as subject (tév voyrév = trav vonrav 71) is rare, but cf. ]. 22, A. 10214
21 n.
360 COMMENTARY.
For a similar argument, showing that unity and being cannot be
the genera of things, cf. B. 998? 22.
Unity and being are called ‘intelligibles’ in distinction from ‘sen-
sibles ’, because they are the most universal predicates, those farthest
removed from sense- eee (cf. B. 998b-15-21).
10. dorrep héyoper, cf, @
12, 76 Suvdpet TadTa a Kad” “airé, ‘that which directly, in virtue
of itself (and not of a concomitant), potentially has these attributes’.
mpotov distinguishes the proximate matter from the remote, and
xa@ aro distinguishes the matter, which as such becomes, for example,
cold, from ‘the white’, which becomes cold in virtue of the matter
whose concomitant it is.
13-15. Aristotle distinguishes here three kinds of substance :
1) radra, i.e. matter, form, privation.
2) Ta €k TovTwy, i.e. substances which include (a) prime matter,
(6) a certain form, e. g. heat, and which presuppose, as that which they
had before they had the form, (c) the privation of the form, e.g. cold.
7a, ék ToUrwy are in fact the four elements, two of which Aristotle sup-
poses to be characterized by heat and two by cold.
g. heat, and which presuppose, as that which they
had before they had the form, (c) the privation of the form, e.g. cold.
7a, ék ToUrwy are in fact the four elements, two of which Aristotle sup-
poses to be characterized by heat and two by cold.
(3) ei te ek Oepyod Kal Woypod ylyverat ev, olov capE 7 dorody, i.e.
compounds of two oppositely qualified substances of class (2); in
other words, binary compounds of the elements, or dpovopepy.
Aristotle might have gone on to add the dvopovomepy and the
living bodies which they make up (cf. # 19-20 n.). But since these are
ultimately formed from the elements, they come under the general
description et tu éx Peppod Kal yvxpod (Aristotle takes two of the rpérau
evavtudoets as typical of all four) yiyverar ev.
Aristotle’s doctrine has been’ explained above as not implying that
privation must be actually present as well as form in every concrete
substance, that every body which is hot must be partially cold; I
have supposed him to mean that the form of each thing presupposes
a previous privation. It is in this sense that matter, form, and priva-
tion are arrived at as the three dpyai in Phys. i. 6, 7, and it is this
sense that is relevant in 1069> 32-34. But it is rather surprising to
find privation which is merely presupposed as previously existing,
described as évurdpxov (I. 22); it is rather zpotmapyov. It may be,
therefore, that Aristotle has in mind his doctrine that no actual
instance of any of the four elements is pure. Fire, though in the
main characterized by the «idos heat, contains some of the orépyots
cold, and so in other cases (De Gen. ef Corr. 330» 21, Meteor. 359» 32).
Then et tu ek Oeppod kal yuxpod yiyvera év will refer to époupeph
compounded out of a substance that is in the main hot (e.g. actual fire)
and one that is in the main cold (e.g. actual water). But on the whole
the former interpretation of the passage seems preferable.
15-16. érepov... yevduevov. Alexander thinks these words should be
placed after zpos 71, 1.9. But they may stand in their present position.
They are meant to justify the assumption just made (I. 13 ovotas de
Tatra Te Kal Ta ek TovTwv), that compounds must be different from
ent
oa
A. 4. 1070 10 — 5, 10718 1 361
their elements, or the assumption that a compound of hot and cold
must be different from what is merely hot or merely cold.
They are meant to justify the assumption just made (I. 13 ovotas de
Tatra Te Kal Ta ek TovTwv), that compounds must be different from
ent
oa
A. 4. 1070 10 — 5, 10718 1 361
their elements, or the assumption that a compound of hot and cold
must be different from what is merely hot or merely cold.
16-18. Bz. prefers the reading ratra in |. 16 on the ground that
TovTwv toira, d\Awy GAAa, TavTwv TG dvddoyov Tavrd. gives the most
symmetrical form to the statement. But where does he get the
tavra which he supplies with 76 dvédoyov? It presupposes rabra in
l. 16. The meaning is: ‘these things, then (sc. sensible substances),
have the same elements and principles—sc. heat, cold, matter
(though specifically different things have specifically different ele-
ments); but we cannot say that all things (i.e. non-sensible substances
and things in other categories, as well as sensible substances) have the
same elements in this sense, but only by virtue of an analogy’; the
elements of all are form, privation, matter, which are analogically
the same wherever they occur.
22. For the construction of tay éxtds otov 76 Kuwvody cf. 1, 7, A. 1021
210.
23. €repov dpxt Kal ororxetov, cf, A. 101374, 7, 101 4% 26.
24. kal eis tadta Svarpetrar dpxy is in EJ repeated in |. 29, and
Christ brackets it here. But it is better to follow the authority of A>
Al. and omit it in 1. 29. Here it makes quite good sense—
“principles are divided into two kinds, the évurdpyov and the éxrds’ ;
ef. A, 10137 4, 7.
26. This list of four causes differs from Aristotle’s ordinary list by
the subdivision of form into form and privation (cf. Z, 1032» 2, Phys.
193” 19), and by the omission of the final cause (due doubtless to its
identity with the formal cause, H. 1044» 1). Aristotle here identifies
the proximate efficient cause with the formal (Il. 30-32, cf. Phys. 198*
26), but distinguishes the w/¢maze efficient cause from it (I. 34).
27. 76 Tp@tov aitiov ws Kuvodv, the proximate moving cause. Bz.
thinks this difficult in view of 1. 34, where 70 ws prov wavTwy Kwvody
mavra. means the w#mate moving cause; he therefore here proposes
rountikov for mpdrov. But Aristotle is careless in matters of this sort
(cf. 4x n.), and further 76 s mpdrov mdvtwy Kwotv mdvta is different
enough from 76 p@rov attiov ws Kwody to remove any misunder-
standing. |
29-30. kai... apy, cf. 1. 24 n.
30. év ev Tots guciKois dvOpdmw dvOpwmos. In view of Aristotle’s
frequent formula év@pwros dvOpwrov yevva, and of the awkwardness of
pvorxois dvOpamos if the two words do not go together, I have adopted
Zeller’s emendation. The corruption is evidently due to the influence
of ucrxois.
32. tTpla aitia dy ely, i.e. matter, form, privation.
34. Bz.’s conjecture, 176 &s for as 7d, is required by the sense.
‘The first moving cause, to which Aristotle comes only now, is to be
the subject of the second half of the book, to which chs. 1-5 are pre-
liminary.
32. tTpla aitia dy ely, i.e. matter, form, privation.
34. Bz.’s conjecture, 176 &s for as 7d, is required by the sense.
‘The first moving cause, to which Aristotle comes only now, is to be
the subject of the second half of the book, to which chs. 1-5 are pre-
liminary.
1071*1. Christ’s taétdé is preferable to the traditional radra, since
ratra in], 2, which refers back to this word, must mean not ‘sub-
362 ~ COMMENTARY
stances’ but ‘the causes of substances’. It is not substances but
their causes that Aristotle views as the causes of all things; cf. |. 34.
Because all other things are dependent on substance, the causes of
all things are the same, viz. the causes of substance.
Tov odc.av dvev, This is apparently the only passage in Aristotle in
which dyev comes after the word it governs, that word not being a
relative. The order is characteristic of later writers, and would in
itself suggest a late date for A.
2-3. Emeita ... dpegis Kal cHua. Aristotle concentrates his atten-
tion on living things, which are in the strict sense the only substances
(Z. 1040) 5-10, H. 1043? 21-23), and indicates their material and
formal causes, (1) capa and (2) yxy (subdivided, in the special case
of man, into vois xat dpeéis). Alexander seems to have read 7 Opesis
kal cGpa (the elements of irrational animals) alter 7 vots Kal dpegis Kat
copa, and it is not unlikely that these words have dropped out by
haplography. But it may be that this is an addition of Alexander’s
own.
2. €mevta comes in peculiarly here. Probably, like pera tatra
(1069> 35 n., 10707 4) it meang ‘next we shall point out that’ &c., and
indicates the hypomnematic character of the first half of A. Cf. 1. 24.
éotat. If it be accepted that the causes of substances are the causes
of all things, we shall perhaps find these universal causes to be soul
and body, &c. This seems to be the meaning of the future éora.
Cf. 1. 24.
éotat. If it be accepted that the causes of substances are the causes
of all things, we shall perhaps find these universal causes to be soul
and body, &c. This seems to be the meaning of the future éora.
3-17. Aristotle has in ch. 4 shown that matter, form, and privation are
principles present in all things ; he now proceeds to show that potency
and actuality are present in all things. Not only, however, are the
potency and the actuality of one thing different from those of
another (dAXa dAAous, |. 5), but potency and actuality belong to things
in different ways (kal dddus, sc. trdpxe). Lines 6-17 explain what
Aristotle means by d\dws. In some cases (év éviows ev, |. 6) the anti-
thesis of potency and actuality means that the same thing exists first
potentially and then actually. But the distinction of potentiality and
actuality is present in another way (dddws dé, |. 11) where one thing
acts on another. I take the two modes of presence of potency and
actuality to answer to the two senses of potency distinguished in ©.
The kind that is mentioned second here is dvvayis in the sense of
‘power’, that which is dpy peraBoAjs év dAAw 7) 7 GAAO (1046 11),
9 Kata Kivynow Aeyouevy (10484 25). Svvayus in this sense is the power
in one thing to produce a change in another thing, and évépyeia is the
change produced. The kind of dvvapis that is mentioned jirs¢ here is
dvvapus in the sense of potentiality which is followed by the correspond-
ing actuality in the same individual (16 abd été pev évepyeia eoruy bre Se
duvdémer; contrast év dAAw, 1046 11). evepyeva and dvvapis in this sense
are opposed ws otaia pds twa ‘Any; in the other sense they are opposed
ds Kivnows mpos dvvapuv (1048? 8),
7. otov otvos, i.e. the same matter is at one time potentially wine
and later actually wine.
minter $€ kal Tadta eis TA eipypeva aita, sc. form, privation, matter
Aes. 1O7T2 2-13 363
(1070 11). aire eis, ‘are divisible among’; for the phrase cf. I.
1005 2, A. 101317, Phys. 195715, 243° 16, P. A. 675% 25.
g. édv 4 xwptotdy. On the separate existence of the form in certain
cases cf. 10707 13-19.
76 e& dudoiy, ‘that which contains both form and matter’. The
mention of the concrete individual is not really relevant, since it was
not one of the causes recognized in 1070? 11-13. The mention
of it is due to Aristotle’s habitual distinction of three senses of ‘ sub-
stance ’—matter, form, and the complex of the two.
The
mention of the concrete individual is not really relevant, since it was
not one of the causes recognized in 1070? 11-13. The mention
of it is due to Aristotle’s habitual distinction of three senses of ‘ sub-
stance ’—matter, form, and the complex of the two.
otepyals Te (vulg. 82) otoy oxdtos # Kdpvov. The traditional reading
is open to three objections : (1 ye privation is being brought under the
heading of actuality (as it must, since dvvdpe. comes only in the next
clause), the clause should be introduced not by orépyats d€ but by Kai
n orepnos. (2) The adducing of instances, darkness and disease, is
peculiar, when form, concrete substance, and matter are left unillus-
trated. (3) kdéyvov is an instance not of privation but of the union
of ‘ts Ca with matter; the privation in question is véaos (cf. 1070?
28).
Themistius apparently did not read orépyous dé, and Christ condemns
the whole clause. But the manuscripts and Alexander agree in
having it, and some mention of privation is wanted in order to
account for dudw in 1.11. I have endeavoured to remove the first
objection by reading re for d¢. re in this usage is rare in Aristotle,
but cf. T. 1004 14, Z. VV. 115810, 13. For confusion of re and é¢ in
manuscripts cf. for instance &. ZV. 1153 7. The second objection is not
very important, and as regards the third, the confusion is one which
Aristotle makes elsewhere. The adjective or participle in the neuter
with the definite article may always stand for an attribute as well as for
a concrete thing. Cf, 76 pev Oeppov katyyopia Tis Kal etdos, 4 8é Wuxpdrys
otépnows De Gen. e¢ Corr. 31816. Or, in the highly abbreviated
mode of expression which is used in chs. 1-5, xat 7d 2& dudoty (tAns
kal orepyoews), answering to 7d e€ dudoiv (vAns kal eidovs), may be
meant to be supplied in thought. oxdéros is an instance of orépyois,
kdpivov Of 7d e& auorv.
II, Go, ‘qualified by the form and by the privation’, cf. 1070»
12,13. It is implied that the privation no less than the form is a mode
of realization of the matter, so that Alexander is wrong in supposing
that Aristotle reckons privation to the side of potentiality (682. 34).
Privation is in fact a kind of form (PAys. 193 19).
Bz. accepts Trendelenburg’s emendation adAus 8 (7) evepyeia Kal
dvvaper Stabéper Gv. But this ignores the evident correspondence be-
tween dAdws here and ddAws in |. 6, and the opposition between
dAAws 8 here and é éviows pev in]. 6. Aristotle has said that the
distinction of dvvayus and évépyea belongs to different things in
different ways. He has stated one way in ll. 6-11; he now has
to state the other. ‘The distinction in virtue of actuality and potency
is present in another sense in things which’, &c.
12-13. Gv...Uhy, Gv... étepov. It is to be noted that the negative in
364 COMMENTARY
He has stated one way in ll. 6-11; he now has
to state the other. ‘The distinction in virtue of actuality and potency
is present in another sense in things which’, &c.
12-13. Gv...Uhy, Gv... étepov. It is to be noted that the negative in
364 COMMENTARY
the first clause is jn, in the second otc. The two clauses are there-
fore not of the same nature, The first gives the essential nature of a
certain class; the second states an additional fact about it; ovd« in fact
shows that the second dy might be replaced by kat rovrwv. This pre-
vents us from interpreting the two clausés-as meaning ‘things which
have neither the same matter nor the same form’ (Alexander, Tren-
-delenburg), or ‘things which have not the same form differ from things
which have not the same matter’ (Bz.).
The meaning of these clauses may be ascertained by observing what
Aristotle goes on to say. He proceeds to distinguish the following
causes of a man:
(rt) the elements present in him, i.e. (a) fire and earth, the matter of
which he is made, and (4) his peculiar form,
(2) an external (proximate efficient) cause, his father,
(3) an external (remote efficient) cause (the sun and the ecliptic)
‘which is neither (1 @) matter nor (14) form (nor privation, which is
included in form above), nor (2) of the same species as the pro-
duct’.
Aristotle has shown above (1. 6) that the existence évepyeia. of a thing
may be contrasted with its own previous existence duvdpe. He seems
to be now saying (though the expression is very obscure) that dvvayus
and évépyeva may be applied to different individual things, in the sense
that one has the power to produce the other, i.e. dvvayus may be ap-
. plied to the father and to the sun, évépyeia to the child which together
they produce. Now both the father and the sun have a different matter
from the child, and the sun has also a different form (ovre dpoedés,
1. 16).
In view of the whole context, it seems that we must insert éviwy after
the second dy, and translate as follows: ‘The distinction in respect of *
potency and actuality is present in a different sense in the case of
causes which have not the same matter as their effects, some of
them indeed not having the same form either’.
If we emphasize i8tov efdos (1. 14) we may say that even the father
has a different (individual) form from the child, and then éviwy will be
unnecessary. But the distinction between the relation of the father,
and that of the sun, to the child, is emphasized, and is expressed by
saying that the latter, unlike the former, is not 6oevdés with the child,
so that 70 aird 20 we learn that Eudoxus, whom Aristotle follows,
believed the sun to move not in the direction of the zodiacal belt but
at an angle to it (xara Tov NeAogwpévoy ev TG wAATEL TOV Cwdiwr), but
the obliquity referred to in the phrase Aoges xvkdos is that of the
sun’s supposed path not to the zodiacal belt but to the equator.
17. 17a pev KaOddou ot eimety, ‘some causes may be stated univer-
sally (sc. the causes of certain types of product), while others cannot
(sc. those of particular products)’. The cause of man is man, but the
cause of Achilles is Peleus (1. 21).
18-20. Christ suggests with some probability that these two
clauses should be transposed, and that dé should be read for 6y
(so Alc), Then 8¢ would answer to pév odv, which otherwise must be
taken as marking a transition to a new point, as in 4. A. 608» 19,
Poet. 14608 11.
18. 7d évepyeta mp@rov Todi Kat aAXo 6 Suvdper, i.e. the individual
actually existing efficient cause, and the potentially existing matter.
Cf. det €x rod Suvdper dvros yiyveras TO evepyeia bv 76 evepyeia. OvTos, O.
1049? 24.
To évepyeta mp@tov Todi seems to mean ‘the “this” which is first in
actuality ’, i.e. which is not only prior to the product but (in Aristotle’s
view) prior also to the potentially existent matter. For this view
cf. @. 1049” 24-25 n.
IQ. éxetva . . . TA KaOddou, the universal causes referred to in 1. 17.
éxeiva may also suggest ‘the famous universals of the Platonists’ ; cf.
Kiihner ii. 1. 650. 13. For the non-existence (more properly the lack
of independent existence) of universals cf. Z. 13, 16.
24. The manuscript reading éreira eldn (or 75y) Ta THY ovordy does
not give a satisfactory sense. If ein be kept, it is at least necessary to
insert rd before it, with Christ. In that case we may (1) understand,
366 COMMENTARY
with Bz., opay de? from |. 17, so that the general sense would be ‘that
we may judge rightly whether all things have the same causes (cf. 1. 29
70 dé Cyreiy kth.) we must attend to the different species of things as
well as to the different individuals ’,—for which v. Il. 20-24. But the
ellipse of épav det after such an interval is.difficult. Or (2) we may
with Alexander understand airid éoru, taking €meita «rd. to be opposed
to ravrwv On TpGta apyai,]. 18; but this also is not very satisfactory.
The right solution seems to be provided by Rolfes’s reading «i 8y,
though in other respects his interpretation is questionable. If ez 64 be
read, a comma instead of a colon must be read after otaovdv. Then
the sense is: ‘Further, if the causes of substances are (as Aristotle
has shown in 1070? 36—1071 2) the causes of all things, yet differ-
ent things have different causes and elements’. For dé adversative in
the apodosis of a conditional sentence cf. Phys. 21515, Pol, 1287»
13, B. 999% 27 n.
25. domep édéxOy, 1070? 17.
Tv ph ev tadTo yéver is contrasted with ray ev raird elder |. 27, so
that yévos and eidos do not mean genus and species but are used in-
differently for ‘kind’. For the promiscuous use of the two words cf.
Bz. Index 1814 57-56, and I. 1058” 28 n.
28, For édNo where dAAov dAAo might be expected cf. 1069) 25
érépay = Erepa Erépay.
27, so
that yévos and eidos do not mean genus and species but are used in-
differently for ‘kind’. For the promiscuous use of the two words cf.
Bz. Index 1814 57-56, and I. 1058” 28 n.
28, For édNo where dAAov dAAo might be expected cf. 1069) 25
érépay = Erepa Erépay.
29. T6...{ntelv isa nominativus pendens ; the sentence does not end
as it was meant to end. For a similar anacoluthon cf. Phys. 222> 11
70 6é"Ihuov paver On EarAwKéevar od €yopev.
ZI. Todhaxds ye heyowevor eotw éExdorou, i.e. roh\Naxds ye Aeyopevwv
TOV OTOLXElwy TatTd éoTL TA OTOLXELa Exdorov. So long as the names
of the elements are used ambiguously, i.e. so long as we say
‘matter, form, privation, mover’ without specifying the particular
matter, &c., we may say everything has the same elements.
In view of the frequent confusion of ye and re in manuscripts (cf.
E. N. 1099% 22, 11018, 1113917, 112429, 117818, Pol. 1291 17,
1339 29, and Bast 710)we need not hesitate to accept Christ’s ye for re.
33. #81, in the senses mentioned in ll. 33-36, i.e.
(1) the causes are the same or analogous because matter, form,
privation, and mover are causes of all things,
(2) the causes of substances are causes of all things,
(3) the first mover is the cause of all things.
The sense requires traira 7) Td dvddoyov; cf. N. 10893 76 airo
kal TO dvddoyov. 71 dvddoyov has come in from I. 26.
33. Ott Un, eidos, orépyors, 76 Kivodv, cf. 1070? 18, 22.
34. Kal G8t Td TOy odcvv aitia. Bz. thinks that we should perhaps
read dru for &d/, as Them. (13. 5) may have done. But dd is quite
right, being explained by 67 dvaupetrar dvatpovpevwv. Themistius
paraphrases the passage very briefly, and it cannot be said with any
certainty that he read 6ru.
70, Tay ovata aitia ds aitia mdévTwy, Cf. 1070? 36—10712 2.
35. &s aitia mévtwv. The superfluous ds is difficult. Perhaps dé-
A. §. 10718 25-37 * 367
yerax is to be understood, in which case the phrase would be parallel
to 60a A€yerau ws Saxpva, Meteor. 388” 19, cf. Phys. 200° 31, Meteor.
379? 26.
St. dvatpetra. avatpoupevwy, ‘because when substances are removed
all the other categories are removed’.
36-1. S31 8e... Gra. ‘But in the following respect there are
different first causes, i.e. there are first causes as numerous as the
contraries which are neither generic nor ambiguous terms ; and further
the matters are different for different things.’
mp@ta here means ‘proximate’, while zpGrov earlier in the line
meant ‘ultimate’. In using the word in the latter sense, Aristotle
seems to have been reminded that it has also the former, and forth-
with points this out. For the inconsistent use of zpéros in a single
context cf. 1070? 27, 35, H. 10442 16, 18.
In using the word in the latter sense, Aristotle
seems to have been reminded that it has also the former, and forth-
with points this out. For the inconsistent use of zpéros in a single
context cf. 1070? 27, 35, H. 10442 16, 18.
Aristotle has just said (I. 34) that matter, form, privation, and
moving cause are causes common to all things. He presently points
out (Pr) that nevertheless different things have different matters.
Probably therefore in doa 74 évaytia ... toAAaxads déyerau he is saying
as in 1070 rg that different things have different forms and different
privations, the difference of the moving cause being omitted for the
moment though it has been pointed out in 1070? 27, 10712 28.
37- & pie ds yévn Néyerau pyre wohhaxds A€yerar. Aristotle indi-
cates that he does not mean (1) contraries stated generically, e. g. white
and black, which are the contraries involved in the whole genus of
colour (1070 20), nor (2) contraries stated still more widely, even am-
biguously, i.e. form and privation, which are the contraries involved in
all sensible things alike (107017, 10712 31-34), He must mean,
then, the individual form and the individual privation which are differ-
ent for each individual thing, cf ll. 24-29. xal ére ai tAa then will
mean not that different kinds of thing have different kinds of matter
but that different individual things have different individual matters
(cf. 4 28).
There must be an eternal prime mover (ch. 6).
1071» 3. We must now speak of the unchangeable substance which
is distinct from the two natural substances. ‘There must be an eternal
substance, for if all substances are perishable, all things are perishable ;
but motion or time cannot be generable or perishable. For there can-
not be a before or after where there is not time, and time is either =
motion or an attribute of it, so that motion must be continuous as
time is, and if so it must be local motion, and in a circle.
12. That which is capable of moving things but does not actually
do so will not account for motion. It is no use positing eternal sub-
stances (e.g. Forms) if we do not give them a principle of change.
Nor will it do if the principle is active but its essence is potentiality,
368 COMMENTARY
for then motion will not be eternal. Therefore there must be a prin-
ciple whose being is actuality. And these substances must be without
matter, for they must be eternal. Therefore they are actuality.
22. There is a difficulty. Everything actual has potentiality but not
everything that is potential has actuality, so that potentiality seems
prior. But if this were so, all that is might not be (i.e. not yet have
been).
Therefore they are actuality.
22. There is a difficulty. Everything actual has potentiality but not
everything that is potential has actuality, so that potentiality seems
prior. But if this were so, all that is might not be (i.e. not yet have
been).
26. The same difficulty is involved if the world be generated from
night or from ‘all things together’. Matter cannot set itself in motion.
Hence Leucippus and Plato say there is always motion—but do not
specify it or its cause, or the cause of the motion’s being of the parti-
cular kind it is. Nothing is moved at random; everything has its own
proper motion, and its motion under compulsion, etc. Further, what
kind of motion is first? Further, Plato could not tell what he means by
describing the self-moving as a first principle, for the soul is later—
coeval with the heavens. It is in a sense right to take potentiality
as prior to actuality, but in another sense wrong. Anaxagoras
testifies that actuality is first; so do Empedocles and Leucippus.
1072" 7. Therefore chaos or night did not last an indefinite time.
The same things existed always either in a cycle or in some other
way, for actuality is prior to potentiality. If there is cyc#c change,
something must remain always active in the same way. If there is
to be change at all, there must be something else whose activity
varies. This must act in one way fer se, in another way by virtue of
something else, and this something else must be that which acts
always in the same way. This is the cause of uniformity, the other
the cause of variety, both together the cause of uniform variety.
Accordingly these are the movements that actually exist. What
need, then, to seek other principles?
1071 3. Haar, cf. 1069% 30.
5. ai Te yap odciat mpdtat ty dvtwy. Aristotle has tried to prove
this in 1069* 19-26.
6-10. GAN’ a8dvarov . . . mdfos. The argument is: If all sub-
stances are perishable, everything else is perishable (since everything
else is posterior to and depends on substance). But movement
and time are not perishable. Therefore not all substances are
perishable.
For the eternity of movement cf. Phys. viii. 1-3.
8. od yap... xpdvov. The argument is: If you say time comes
into being, you imply that before that there was no time; but the very
word ‘before’ implies time. But does not Aristotle’s view that space
is finite contain the same difficulty ?
A. 6. 1071) 2~26 369
9. Having used the eternity of movement to prove that there
must be an eternal substance, Aristotle now draws from it a further
y inference, that movement must be continuous, and from this he
develops his whole astronomical theory.
10. 7 Kwyoeds Tt mdOos, cf. Phys. 251% 28. In Phys. 219 1 time is
defined more precisely as dpiO ds Kivypoews Kata TO mpdrepov Kal Vorrepov.
It is further said to be dpiOpos ody & apiOpodpev GAN 6 apiOpovpevos
(220 8), i.e. not abstract number, but the aspect in respect of which
movement is numerable.
7 Kwyoeds Tt mdOos, cf. Phys. 251% 28. In Phys. 219 1 time is
defined more precisely as dpiO ds Kivypoews Kata TO mpdrepov Kal Vorrepov.
It is further said to be dpiOpos ody & apiOpodpev GAN 6 apiOpovpevos
(220 8), i.e. not abstract number, but the aspect in respect of which
movement is numerable.
IO-II. kivnows 8... kUkAw. Aristotle’s proof that local movement is
the only change that can be continuous is given in Phys. 261% 31— 26,
and his proof that circular. movement is the only one that can be con-
tinuous in 261» 247—26323, 26427—265212. The reason for the
first dictum is that all other changes are between opposites, and
that, since a thing cannot have opposite movements at the same
time, it must rest at the opposites which form the limits of its move-
ment. The reason for the second dictum is that all other changes
of place are from opposite to opposite, and therefore (like non-local
changes) cannot be continuous.
- 13. obK €otau Kivyars, ‘there need not be (always) movement’, For
this use of the future cf. Bz. Zndex 754” 5-12.
15. ei py tis Suvapévy evéotar dpxy peraBdddew. Aristotle has
argued in A. 988? 2 that there is no such dpyy in the Ideas.
16. 008 GAA ovata mapa Ta eidy, e.g. the mathematical objects which
Plato supposes to be independent substances, Z. 102820. Robin
suggests that the reference is to the Platonic world-soul (cf. 1072 r).
But, since this is thought of as essentially active, the objection « ji
evepyynoel, ovk eorar kivnois would not be appropriate to it.
19-20. Rolfes remarks that the description of God as pure actuality
is inconsistent with any form of pantheism, which at once involves
God in development. Aristotle’s remarks on Speusippus and the
Pythagoreans (1072) 31) show how clearly he saw the irreconcilability
of pure actuality with development.
21. tavtas . .. Tas ovcias., So far Aristotle has spoken of the
necessity of one unmoved mover of the universe. He now refers by
anticipation to the unmoved movers of the several celestial spheres,
for which cf. 10742 15.
22. From Alexander 689. 19 it seems clear that he read, with Ab,
évepyeta, which is the preferable reading.
24. ote Tpdtepoy etvar thy Suvapi, on the principle stated in A.
1019*2 7d 8 Kara piow Kal odciav (porepa), doa evdexerar elvar avev
dAdo, exelva & dvev éxeivwv pun.
25. o00év eora tv dvrwy, ‘nothing that is need be’, cf. ovk éorau
kivnots, 1. 13. That there never was a time when there was nothing,
is proved in De Caelo i. 12.
26. «i ds Aéyouow = ci ovrws exes Ws Aéyovow. For this use of ds
cf. De Gen. et Corr. 329% 35 Tatra pev yap petaBdAde eis dAXyAG, Kal
ovx os *Eprredox) fs Kal €repou Aéyovow.
2678-2 B
370 COMMENTARY
27. ot Oeoddyor, cf, A. 983) 29 n.
ot ék vuktos yevvavtes, cf..N. togi5, and Orpheus fr. 12 Diels,
Musaeus fr. 14, Epimenides fr. 5, Acusilaus fr. 1, 3, Hesiod, Op. e¢ D.
nF Theog. 116 ff., Aristoph. Av. 693.
2678-2 B
370 COMMENTARY
27. ot Oeoddyor, cf, A. 983) 29 n.
ot ék vuktos yevvavtes, cf..N. togi5, and Orpheus fr. 12 Diels,
Musaeus fr. 14, Epimenides fr. 5, Acusilaus fr. 1, 3, Hesiod, Op. e¢ D.
nF Theog. 116 ff., Aristoph. Av. 693.
ol duotkot, i.e. in particular Anaxagoras, fr, 1, but his view is in
this respect like those of Anaximander, Empedocles, Democritus, and
others ; cf. 1069? 20-23.
30. o88€ TA Eripyvia 068’ 7 yh, GAAG TA orréppata Kal H yovy, i.e.
yovn is needed to transform the émiyvia, which are potentially the
young animal, into the actual offspring, while oépyara are needed
to transform the earth, which is potentially the young plant, into
the actual plant. -yovy is properly used only of the male element in
the sexual generation of animals (G. A. 724? 12), while owépyara may
be used with reference to plants as well, which have not the distinction
of male and female (715” 19, 731” 10), but have something akin to it
(715” 20, 732° 12), though the two elements are united in the same
plant (731° 1, 200 28, 741" 3, TBO? 30, 763” 24).
ZI. 81d eviot movotow det evépyerav, otoy AevKurmos. Cf. De Caelo
300? 8,
32. Kal MAdtwy, cf. 77m. 304.
33. GANA Bid TL Kal tiva od héyouow. Cf. A. 985” 19, De Caelo
300? ro, 16, and (on Democritus) 313% 21. The objection is not fair,
as regards Plato; he makes the world-soul the cause of the movement,
cf, 107271.
34. Diels’s reading, o08, ei Ot 7 G8, is much the best emendation
of the unmeaning ovdé ddt odd¢ Of the manuscripts, and derives sup-
port from Alexander 690. 35. Schwegler’s ovdé rod &d/ and Zeller’s
ovd «i woi are less probable.
35. Prof. Jackson thinks that the readings of A (de? aied 7)
and of E (de? 7 dei) point to an original de? 7 dia ri. But the
two readings are merely an instance of the constant tendency of
the two manuscript groups to vary the order of words, and the
required sense ‘there must be a cause’ may be got out of the
traditional reading. ‘There must in every case be something
present’, sc. to account for the particular movement. The simplest
emendation would be de? rw’ (sc. airiav) del id pew.
36. 4 . 7 Alexander takes to mean ‘either... or’, Themistius
(probably rightly) to mean ‘or... or’
&AXou, e.g. THS pavracias (Alexander).
1072°1. dpxny, Sc. Kujoews.
2. Uotepov, sc. THs KWHoEws, NOt Tod otpavod as Bz. supposes.
Aristotle seems to be reasoning from the late point at which the
formation of the soul appears in the Zimaeus (348). He argues
that Plato makes soul coeval with the heavens, which are later
than the original disordered movement of Z?m. 30, and that soul
therefore cannot be the cause of this movement. Plato no doubt
describes the soul as the principle of all movement and as eternal
(Phaedr. 245 c—246 A, cf. Laws 894 c—896r). Further, he describes
A. 6. 1071 27 — 1072% 10 341
30, and that soul
therefore cannot be the cause of this movement. Plato no doubt
describes the soul as the principle of all movement and as eternal
(Phaedr. 245 c—246 A, cf. Laws 894 c—896r). Further, he describes
A. 6. 1071 27 — 1072% 10 341
it aS Kal yevéres kal dperh mporépay Kal mpeoBurépay Toparos (Zim. 34C),
and explains that it is only in the order of his exposition that it is later
(348). But he at any rate describes it as made by God (34 c), while
movement is found by God as something pre-existing (30 a). Some-
thing must be allowed for the mythical and conjectural character of the
Timaeus, but it does not seem that, as Zeller maintains in Pla/onische
Studien, Plato had a perfectly consistent theory.
4. elpntar 8é ms. It is not very clear whether this refers to 1071»
22-26 or to @. 8. Bz. contends that when Aristotle refers in one book
of the AZefaphysics to another, the reference is always fuller in form
than this. H. 104243 and N, 1090%15 hardly form exceptions to
this rule, since ZH and MN so clearly belong together respectively.
The only genuine exception is K. 1064236, which seems to refer
to A. 6, 7. In the other works the only instances I have noted
of very vague references in one work to another are De Gen. ef Corr.
33615, De Caelo 271% 21, De Resp. 47712, De Sensu 436% 1, G. A.
715%1. On the whole Bz. seems justified in inferring that the refer-
ence here is to 1071 22-26. That passage does not definitely say in
what sense potency and in what sense actuality is prior, but indicates
obscurely that though each individual potency is prior to the
corresponding actuality, there must be some actuality prior to all
potency.
5. Alexander seems to have read évépyeva (691. 33), and so do TT
Ald. This reading is preferable to that of EJA?.
6. “Epmedoxdijs pudiav kal 1d veikos, sc. A¢ywv from Adyovres. For
the arbitrary insertion of 7d cf. the passages referred to by Vahlen on
Poet. 1449%1—®. 1049? 11, M. 10819 34, Soph. LV. 173° 9, De Resp.
478) 28, Rhet. 1361% 24, 1363” 3, 13695, 1390716, 14047) 31, 1414°
ER.
ot del Aéyovres kivnow evar, cf. 1071) 32,
8. TadTd del 7 Tepiddw 7 Ans: tepid refers to Empedocles’ doc-
trine of cycles (De Caelo 279” 14, Phys. 250 26). dAdws refers to
any view which, without committing itself to cycles, holds that the main
characteristics of the universe remain the same. In the next sentence
Aristotle concentrates on the belief in cycles, though what he says of
ils implications would apply also to the alternative view referred to
in dAAws. It is not necessary with Schwegler to treat repiddw in 1. 10
as a gloss.
In the next sentence
Aristotle concentrates on the belief in cycles, though what he says of
ils implications would apply also to the alternative view referred to
in dAAws. It is not necessary with Schwegler to treat repiddw in 1. 10
as a gloss.
9-17. The general upshot of this passage is that the motion of the
sphere of the fixed stars, which is parallel to the equator and therefore
unchanging relatively to the earth, is the cause of the permanence in the
history of the world, while the ecliptic motion of the sun, which brings
it now nearer to and now farther from us, causes the alternation of birth
and death. Cf. 1071%15, De Gen. ef Corr. 336” 15.
IO. Set te det pever doadtws evepyody, From De Gen. et Corr. 336
23 ff. it is clear that the reference is to the sphere of the fixed stars,
while the évepyodv GAAws Kat adAws is the sun, which moves in one way
(éd¢)—i.e. has its yearly motion along the ecliptic— xa aird, and
Bb2
372 COMMENTARY
moves in another way—i.e. has its daily motion parallel to the equator
—kxatr dAdo. The question then arises whether this dAdo is 76 rpGror,
i.e. the sphere of the fixed stars, or something else’ (e. g. the sphere of -
Saturn, says Alexander). But if we suppose something else to be the
cause, then in turn the sphere of the~fixéd. stars causes both the
sun’s motion and that of the supposed other.
15. atte. The editors since Brandis read atré and take the
clause to mean that the sphere of the fixed stars will cause both its
own motion and that of the supposed other. But in Aristotle’s
view the motion of the sphere of the fixed stars is not self-caused ;
it is caused by God. It is therefore better to read atv with Alexander
and take it to refer to the sun. Since we cannot suppose the motions,
parallel to the equator, (a) of the fixed stars and (4) of Saturn and the
sun, to be unconnected, we should have to suppose the motion of the
fixed stars to be the cause of the motion of Saturn and therefore, in-
directly, of the motion of the sun.
15-16. otxodv BéAtioy 75 mp@tov .. . doattws. The principle is:
If B causes C, but A causes B, A is more truly than B the cause of C.
Cf. a.994*11. There is a further advantage in regarding the sphere
of the fixed stars as the cause of the sun’s daily motion; it has
already been shown to be the cause of the uniformity in the uni-
verse (kai yap airiov hv xrA.), so that if we assign to it also the
causation of the sun’s daily motion we shall be practising se
in explanation.
17. ovKody otTws Kat €xoucwv at KU ELS. Theory requires the ac-
count given in ll. g—17, and accordingly the actual motions are found
to be such as have been described.
18. d&ddas.. . dpxds, sc. like the Platonic Ideas, cf. 1071» 14.
Nature and mode of operation of the first mover (ch. 1).
17. ovKody otTws Kat €xoucwv at KU ELS. Theory requires the ac-
count given in ll. g—17, and accordingly the actual motions are found
to be such as have been described.
18. d&ddas.. . dpxds, sc. like the Platonic Ideas, cf. 1071» 14.
Nature and mode of operation of the first mover (ch. 1).
1072°19. There must, then, be something that is in incessant, and
therefore in circular, motion, and this is actually observed to be the
case. The first heaven, then, must be eternal. Therefore there must
also be something that moves it. Since that which is moved and
moves is a middle term, there must be an extreme which moves
without being moved, being eternal, substance, and actuality.
26. The object of desire and that of thought move thus. And in their
primary forms they are identical. ‘The object of desire is the good or
the apparent good. Now desire depends on thought rather than
thought on desire. And thought is moved by its object, and the
terms in the column of positives are fer se objects of thought, and
A, 6. 1072%15-18 373
in this column substance, and among substance that which is
simple and actual, comes first. But the good and desirable belongs
. to the same column, and the first term in this column must be most
good.
by, A final cause in the sense of that whose good is aimed at cannot
be found among unchangeable things, but a final cause in the sense of
the good aimed at can; it moves by being loved, while all other things
that move do so by being moved.
4. That which is moved is capable of being otherwise than as it is,
so that if its activity is the primary (i.e. circular) motion, it has con-
tingency in this sense—liability to spatial motion, though not to change
of substance. The unmoved mover, on the other hand, has no con-
tingency ; it is not subject even to the minimal change (motion in a
circle), since this is what it originates. It exists therefore of neces-
sity ; its being is therefore good, and it is in this way that it is a prin-
ciple of motion. (The necessary in the sense of the non-contingent
must be distinguished from the necessary in the sense of what is con-
trary to natural impulse, and from the necessary in the sense of the
sine qua non).
1g. On such a principle, then, the physical universe depends. It is
a life which is always such as ours is at its best. Its very activity is
pleasure—just as waking, perceiving, thinking are most pleasant
because they are activities.
18, Thought which is independent of lower faculties must be
thought of the best object. Now thought does think itself, because it
shares in the intelligibility of its object. It becomes intelligible by
contact with the intelligible, so that thought and object of thought
are one,
18, Thought which is independent of lower faculties must be
thought of the best object. Now thought does think itself, because it
shares in the intelligibility of its object. It becomes intelligible by
contact with the intelligible, so that thought and object of thought
are one,
22. Activity rather than potentiality is the divine thing in thought—
actual contemplation the pleasantest and best of all things. If God
is always in that good state which we sometimes reach, this must move
our wonder ; and if his state is even better, this must move our wonder
yet more.
26. God must also have life, for the actuality of thought is life and
God is that actuality. God therefore has, or rather is, life continuous
and eternal.
30. Those who, like the Pythagoreans and Speusippus, think the
good is not a first principle because the developed living thing is
better than the germ from which it comes, are wrong, for the germ
comes from prior developed beings.
10732 3. It is clear, then, that there is a substance eternal, im-
movable, separate from sensible things: We have shown that it
374 _ COMMENTARY
must be without magnitude; it cannot have finite magnitude, for
then it could not have the infinite power which it displays by
causing motion eternally, and it cannot have infinite magnitude be-
cause there is no such thing. It must-also be free from change
of quality, for the other-sorts of change presuppose locomotion.
1072° 19. ék vuktds éotat, cf. 1071) 27,
20. Kal ék py Ovtos, cf. 1069) 19.
21. aity 8 4 Kukda, cf. 1071» 10-11 n.
23. 6 mp@tos otpavds, the sphere of the fixed stars, cf. De Caelo
288*15, 292b22. This is ‘first’, counting from the outer edge
of the universe.
éott Tolvuy Te kat 6 Kuvet. From the existence of a xwovpevoy there
cannot be inferred the existence of something which it moves, but
only the existence of something that moves it. 6 therefore is sub-
ject of xweé as in |. 25.
24. The traditional reading evel d€ ro Kwovpevoy Kal Kwodv, Kat
pécov tow éori 7m gives an unsatisfactory sense; the unmoved
mover is not a pecov. Nor does it mend matters if we punctuate
after pecov instead of after xwodv. ore d€ Kal TO KivoUpevov povus
cannot as Alexander. suggests be understood, and roi cannot
begin a clause, nor is kat pécov intelligible. «ac must in any case
be excised ; we may then read for rowvvv éori either €or toivuy oF Kwodv
éort or simply éor. The argument then is as follows: Aristotle has
just remarked that there must be something that moves the det
xwovpevoy Of |, 21. This xuvoby may be (a) kwovpmevov or (d) od Ki-
vovpevov. Buta _ Kuvoupevov kal kwvobdv is something intermediate, which
presupposes te 6 od Kwovpevov xwet, For the description of the x:-
vousLevov kal kwovv as a pecov cf. MZ. A. 70325, and for the argument
cf. Phys. 256» 20 ff.
This xuvoby may be (a) kwovpmevov or (d) od Ki-
vovpevov. Buta _ Kuvoupevov kal kwvobdv is something intermediate, which
presupposes te 6 od Kwovpevov xwet, For the description of the x:-
vousLevov kal kwovv as a pecov cf. MZ. A. 70325, and for the argument
cf. Phys. 256» 20 ff.
Professor Jackson proposes ézel 8€ 7d Kwovpevoy Kal KivodV Kal [7s
dv Towvv éori TL KTA., ‘since there are two sorts of kivovpevoy, a Kwov-
pevov Which is xevodv and a Kvovpevoy which is ju) KLvOvV, there is also,
to complete the series, something existent which is xwodv and pa
xwovpevov’. But (1 us Aristotle has not established the existence of
a Kwovpevov kat kiwodvy and that of a kwovpevoy kat pa Kwodv, but
only that of a xwovpevor (1. 21) and that of a xvodv (I. 23). (2) dv
row é€oti 7 is not a very natural mode of expression. Professor
Jackson quotes De An, 43313 in support of his view, but there we
have not what his view implies, a division of 7d Kivovjevov into two
kinds, but what our interpretation above implies, a division of 76
kwvoov into two kinds.
26. wet Sé GSe 7d dpextov Kal TS vontdv’ Kiel od Kivodpeva. In
general, according to Aristotle, there is no xwely without dvrixvel-
aba (G. A. 76818); the action of an object of desire is the only
exception to this rule. On the dpexrov or dyafdv as the motive power
in the world of nature cf. PAys, 192°16, De Gen. et Corr. 336% 27,
ef FO72™ 19—27 375
De Vila 469° 28, P. A. 687215, /,.A.704¥ 15. The doctrine becomes
very prominent in Theophrastus; cf. his fragment on Metaphysics,
SOOO RS tOnIOAT Ineo, 312. 4,315. 05, 327.20, ne doctrine
that the motions of the stars were due to the desire to imitate the
perfection of the divine nature lasted long. There was much dis-
cussion among theologians of the question whether the stars are
conscious. St. Thomas ’(.S. 7. 1% qu. 70) sums up by saying that
Origen and Jerome held them to be conscious, Basil and John of
Damascus denied them consciousness, and Augustine was neutral.
He himself concludes that corpora coelesha non sunt animalia eo modo
quo plantae et animalia, sed aeqguivoce, i.e. the consciousness to
which the motion of a star is due is not its own form but the in-
telligence to which it is subject. Cf. Webb, Studies in the Hist. of
Vat. Theol. 243 f. Kepler argued against the Ptolemaic theory
on the ground, among others, that it implied that the planets know
mathematics; but he himself thought that the sun apprehends the
harmonies of number which regulate the planetary orbits.
The colon after vonrov gives a better sense than Bekker’s full
stop after de or Bz.’s comma after dpexrov (with xwovpevov for
kwovpeva). For ode referring backwards cf. > 26, Kiihner i, p. 646.
The colon after vonrov gives a better sense than Bekker’s full
stop after de or Bz.’s comma after dpexrov (with xwovpevov for
kwovpeva). For ode referring backwards cf. > 26, Kiihner i, p. 646.
Aristotle is not here expressing the view that dpegis and voids are
independent sources of acton or local movement, the view stated
provisionally in De An. 433413 and set aside in 433%21 in favour
of the view that dpegis is the only direct principle of action. Line 30
here indicates that his meaning with regard to 76 voyroy is that it
stimulates ¢hought without being itself stimulated.
27-1. The argument for the identity of the zpa@rov dpexrov and the
mpatov vontov is as follows: The actual object of desire is either the
apparent or the real xaddv, so that the primary object of desire is
evidently the kaAov. (Aristotle next observes that the desire of it
presupposes the recognition of it as xadov. This remark makes the
transition from desire to thought but is not meant to prove the identity
of their primary objects; the proof of that comes in what follows.)
Now the proper object of vots is the assemblage of positive enti-
ties () érépa cvororxia), negatives being known only as the opposites
of positive entities (cf. ®. 104611). Substances are the first members
of this assemblage, prior to positive gualztes, and simple immaterial
substance is prior to substance which includes matter as well as form.
Hence immaterial substance is the zparov vonrov. But 76 xadov,
which was shown to be the zpérov épexrov, is something positive
and therefore also belongs to the positive assemblage. This Aris-
totle takes to imply that the positive assemblage is the assemblage
of xaAa. And if so, immaterial substance, which is the first member
of the assemblage, and therefore contains in the highest degree the
character of all members of the assemblage (a. 99324), must be
the dpucrov Or mp@rov dpexrov, while it has already been shown to
be the zpérov vonrov.
27, toUTwy Ta mp@ta 7a adté. Alexander points out that some
376 COMMENTARY
6pexta are NOl voyta, e.g. a loaf, and some vonra are not dpexrd,
e.g. evil things.
27-28. émOupntov...dvKaddoy. Aristotle establishes that the rpdrov
dpextov is the kaddv by considering the species of dpegis. There are in
all three species—érufupiia, Ovpds, Bovdnois(De An, 414>2, M.A.
700b 22); but Aristotle has also a tendency to divide dpegs simply
into that which is rational (GovAyo.s) and that which is against
reason (ériOupia) (De An. 433% 22—26), and these two he is satisfied
to mention here.
There are in
all three species—érufupiia, Ovpds, Bovdnois(De An, 414>2, M.A.
700b 22); but Aristotle has also a tendency to divide dpegs simply
into that which is rational (GovAyo.s) and that which is against
reason (ériOupia) (De An. 433% 22—26), and these two he is satisfied
to mention here.
ZI. 4 érépa cuoroyia, ch A. 986423n., K. 1066815, Phys.
2o1b25. Not only is cvorouxia used of the Pythagorean list of
opposites, but Aristotle himself recognizes a positive ovorouxia or
column including such terms as being, unity, substance, and a nega-
tive cvorouxéa including not-being, plurality, not-substance (I. 1004?
27, De Gen. e¢ Corr. 319215, De Sensu 447° 30, 448°16, P. A. 670»
21). In each case the negative is known not fer se but as the negation
of the positive term.
32-34. Alexander thinks this note on the difference between ‘ one’
and ‘simple’ is meant to meet the objection that if the primary un-
moveable substance is simple it must be one, whereas Aristotle be-
lieves in a plurality of such substances (the beings that move the spheres,
1074°15). Rather, Aristotle seems to be intent on explaining what he
means by ‘simple’, without any further motive.
33. Td pev yap ev pérpov onpaiver, cf. A. 1016) 18,
16 8€ dmAodv THs Zxov adté, ‘One’ denotes that a thing is the
measure of something, the unit used in counting an assemblage;
‘simple’ denotes that a thing is zse/f in a certain condition, i.e.
unmixed.
385-P 1. kal €ottv...mp&tov. The first term in a series is the best
term, if this description of it is appropriate (as it is in this case, since
TO kaAédv is in the series); or if it is not, then the first term may be
said to be ‘analogous to the best’. Thus circular movement may by
analogy be called the best movement, to take Alexander’s example.
bi-g. 81. 8 gor... . odk 2omr, It might be thought (cf. B. 996% 22,
K. 1059735) that the teleological view implied in calling immaterial
substance (God) the zp&rov épexrév is incompatible with the unchang-
ing, eternal nature of immaterial substance (#25). Aristotle therefore
proceeds to point out that 7d ob évexa, the object of purposive
action, may in one sense of these words be found in the realm of eternal,
unchangeable entities. J.e., when we speak of the ov évexa of a thing
we may mean (r) that the thing is good rw, for some conscious being,
or (2) that it is good twds (évexa), for the sake of some end. The
latter exists in the sphere of unchangeables (éor1, 1. 3 = éorw €v rots
axwytows), While the former does not, since the attainment of good
involves change in that which attains it.
Christ’s addition of kai twos (rwds AP) after évexa (I. 2) is amply
justified by De An. 4152 76 8 of vera dirrdv, 7d pev ob 70 8 @ (cf.
ib. 20, Phys. 194235). G. A. 742% 22, which Christ quotes, is not
A. 7. 1072% 27— 1072h 5 377
a parallel, for the true reading there is not 7d ob évexa but 76 rovrouv
eveka,
2) is amply
justified by De An. 4152 76 8 of vera dirrdv, 7d pev ob 70 8 @ (cf.
ib. 20, Phys. 194235). G. A. 742% 22, which Christ quotes, is not
A. 7. 1072% 27— 1072h 5 377
a parallel, for the true reading there is not 7d ob évexa but 76 rovrouv
eveka,
2. 7 Siaipecis Syrot. Cf. ey TH diapered Trav évavtiov I. 1054 30,
év TH éxAoyH TOV evavtiwy T. 100482. Phys. 194* 36 says the distinc-
tion eipyrai év trois repli pirocodias, i.e. in Aristotle’s early work of
that name. Alexander thinks the reference is to the dialogue De Bono,
but elsewhere he refers to a separate "ExAoyy t&v évavriwv (cf. 250.
19, 262. 18, 23, 615. 14, 643. 2, 695. 26). The distinction here,
however, is not a distinction of contraries, and it seems improbable
that here 7 dvatpeois refers to a book at all. It probably means
simply ‘the well-known distinction’.
g. The subject of xuvet is the ob évexa in the sense of ris, the ob-
jective end.
4. Kivodpeva dé radda Kuvet. The manuscript reading xvoupeve, ‘and
by something moved it moves all other things’, is hardly possible
Greek, and xwovpevov, ‘while the other (the apres ovpavds) being
moved moves all other things’, is little better. x:voveva gives the
right sense, ‘it moves as being loved (sc. without itself being
moved), while all other things move by being moved’, i.e. simply
transmit the motion impressed on them. a and w are often confused
in manuscripts (Bast 183, &c.).
5. Alexander’s commentary here says éév eorw % évéepyeia Tod
ovpaved 7 mpatn dopa, which leaves it doubtful what he read, except
that there is no trace of the xaé which the manuscripts have be-
fore evépyew. I have adopted a reading which may have been
that of Alexander, and which gives better sense than those of the
manuscripts and, I think, than those of previous editors (ei pope
7 mparn evepyetd. eat, 7 KuvelTat Bz., ei 7) Popa 7 mpdry evepyea eorw
0 Kwvetrau Christ). Taking 7 «we?ra: with what follows, and reading
tavTn ye, Which the sense requires, we get the following meaning
for the sentence. Aristotle has said, with the heavenly spheres in
mind, ‘the other things move only by being moved. Now if a thing
is moved, it is capable of being otherwise than as it is’, He now
continues ‘so that if its actual mode of existence is the primary kind
of local movement (sc. circular movement), then in so far as it is
subject to change, in this respect it is capable of being otherwise, i.e.
in respect of place even if not in respect of substance’, i.e. even if it is
not subject to generation or destruction. The words
ite
circular movement), then in so far as it is
subject to change, in this respect it is capable of being otherwise, i.e.
in respect of place even if not in respect of substance’, i.e. even if it is
not subject to generation or destruction. The words
ite
14-24. Having shown (® 25) that there is a prime mover which is
substance and is pure activity or actuality, Aristotle assumes that it
must be such as the highest actuality or activity that we know, viz.
vonots, immediate or intuitive knowledge. Further (1. 18) this vénous,
being xa atryv, i.e. unconnected with any lower function such as
sense or imagination, must be vonors of what is in itself the best, and
that which is in the fullest sense voyois must be vonors of that which
is in the fullest sense best, i.e. of the rp&rov dpexrdv (#27), the prime —
mover itself. Now yvots does know itself by sharing in the know-
ability of its object ; for when it touches and knows it becomes know-
able, so that it and its object are one. It is when it actually ‘ touches’
its object that this happens, for, while vods is that which is capable
of receiving the knowable, i.e. essence, it is actual only when it actually
possesses the object, so that actuality rather than potentiality is the
divine thing in vods—actual contemplation is the pleasantest and
best of all things.
14-15. Siayuy) & .. . Hptv, ‘it is a life such as the best that we live,
and live for but a short time’. Or duaywyy may be used in the more
pregnant sense in which it implies both noble activity and pleasure
A. 7. 1072 8-20 379
(Pol. 133917). The primum movens is described not as having but
as being a life, because it is pure évepyeua.
15. ola 4 dpiory pixpdv xpdvoy Hiv, i.e. when we are engaged in
philosophic thought, cf. A. 982> 19—9837 10, L. V. 1177526. We
can do this only for a short time because we are not all évépye and
our dvvapus being finite is bound to tire (cf. ®. 1050» 24, £. NV. 1175? 3,
De Somno 454? 8).
16. émei kat qdovt h evépyera tovtov. ydovn 7 evéepyeia is clearly
preferable to the vulgate 4 dov7 évepyea. Aristotle uses here the
language of L. JV. vii. 1153214, which identifies pleasure and activity.
In the exacter language of Z. WV. x (1175?15), pleasure inevitably
accompanies and completes activity.
17. 81d todto, because they are activities.
18. S14 tadta, because they are hopes and memories of these
activities.
JV. vii. 1153214, which identifies pleasure and activity.
In the exacter language of Z. WV. x (1175?15), pleasure inevitably
accompanies and completes activity.
17. 81d todto, because they are activities.
18. S14 tadta, because they are hopes and memories of these
activities.
18-21. In order to find the connexion between these two sentences,
it seems necessary to suppose that when Aristotle says that the divine
vonors ) Ka? avrnv is of 70 Kal? attd dpucrov he means the conclusion
to be drawn ‘and therefore of the divine vois itself’, which has been
exhibited as the zprov dpexréy (* 27), in other words as the dpiorov
(#35). He then goes on to show ow vods knows itself; he shows
that it is only in the activity of véyots that vods becomes its object and
so becomes knowable, and the distinction thus drawn between activity
and potentiality leads him to the statement that the activity is better than
the potentiality, that the actual exercise of Gewpia is the pleasantest and
best thing in the world.
18. 4... vdnots 7 kad adtyy, thinking in itself as distinguished from the
human thinking which depends on sense and imagination. Alexander
interprets these words as meaning 6 kar’ évépyeay vods in distinction
from 6 xa@ eéw and 6 duvdper, but it is difficult to get this out of xaf
aurny.
19. aitdv S€ voet. Bz. is not justified in inferring from 1074) 33
that 67 should be read; the argument there is obviously different.
64 gives a good sense here, but so does de.
20. KaTa peTakay tod vontod. Cf. De An. 430°8 exeivw (vd) 7d
vonrov brdp&e. vovs, as Alexander says (698. 7), knows primarily the
intelligible form, and incidentally itself, through the fact that when it
knows it becomes what it knows. Ch De An. 43072 Kal avros
(6 vois) « ae voyros coTw domep TH vonta. emt pev yep TOV dvev vAys TO
aire fore 70 voobv kal 70 voovievov" a] yap eTLOTH LN n GewpytiKkn Kal
TO ovTWS emliaTyTOV TO aito éeorw. ‘The identity of actualized vods
(voids actually engaged in voyors) with the actualized voyrov (which has
been changed from a dvvdpe vonTov to an évepyeia voynrov by the
action of vods in véyois on it) is parallel to the identity of actualized
sensation with the actualized sensible object (De Ax. 424% 25, 425 »
2
The doctrine that the actual aic@avopevor is identical with the actual
aicOyrov seems to be based on two grounds :—
380 COMMENTARY
(1) The metaphorical description of the apprehension of the sen-
sible form as 8éye6a, and the comparison of it with the reception of
the shape of a seal by wax (424° 18), lead Aristotle to think of the
percipient as becoming actually qualified by the form of the object.
(2) He interprets the inseparability of actual hearing from actual
sound, of actual seeing from actual colour (425> 30), as implying
that these are but two names for the same thing viewed from different
standpoints.
(2) He interprets the inseparability of actual hearing from actual
sound, of actual seeing from actual colour (425> 30), as implying
that these are but two names for the same thing viewed from different
standpoints.
The first of these grounds, at any rate, is also implied in his
identification of vots and vontov (vots is Sextixdv Tod eldous Kal du-
vape. Towodvtov GAAG pi TodTO 429%15). vods must have no character
of its own, that it may be able to take the character of whatever it
knows (429221). And doubtless the second ground is also implied in
this case, though there is no passage so explicitly implying it as that
referred to above with regard to sensation (425 30).
21. Qyydvey. For the metaphor cf. @, rog1> 24,
22. kal Tis odcias, i.e. ‘of substance’ in the sense of essence,
cf. De An. 4292 15 dexrixov Tod etdous.
22-24. évepyet 8€... dpiotov. ‘ But vods is actual when it has its
objects (instead of being merely capable of receiving them), so that
(since actuality is better than potentiality, cf. ©. 8) having them rather
than being capable of having them is the most divine thing in voids,
and actual contemplation is the pleasantest and best thing.’ I follow
Alexander (698. 29) in the interpretation of évepye? d€ éxwv; for the
use of éywv cf. Bz. /ndex 305» 46. Bz.’s interpretation of éywv, guoniam
ipse in se continet aiqgue tpse est 7d vonrov, is hard to get out of the
Greek and seems less probable, the point being the contrast of
actual with potential knowledge, without special reference at this stage
of the argument to the identity of knowledge and its object.
Krische’s interpretation of éywv as = ‘having the potentiality of
thought’ is rightly rejected by Bz.; the supposed parallels in Phys.
255*34, De An. 412% 26, 417 5, are not convincing. Dr. Jackson
(Proc. Camb. Phil, Soc. cix-cxiv. 11 f.) translates évepye? 8& exwv
‘and it energizes continually’, comparing such phrases as ri xumrdGes
éxwv; and éywv pdAvapeis. This idiom seems, however, to be some-
what contemptuous and therefore out of place here ; cf. the instances
quoted in L. and S.
Mr, A. J. Rahilly has an ingenious conjecture (Vew Jreland Review,
October, 1909), évepyet dé éywv éxeivo waddov, dre TovTOV 6 KTX., ‘ but it
is rather by possessing the former (the intelligible) that it (the intellect) _
becomes actualized. And so the contemplation of that which the
intellect seems to have divine in it (i.e. self-consciousness) is its greatest
enjoyment and good’. The transposition gives an excellent sense,
but does not seem to be necessary.
23. dot ékeivou paddov todto is the reading implied by Alexander
(698. 35). He interprets the clause as meaning ‘so that the divine
thing in vois (i.e. its self-knowledge) belongs rather to the rpéros vois’
(than to the actual vods of mankind). 7 Qewpia will then mean not
A. 7. 1072> 21-32 381
23. dot ékeivou paddov todto is the reading implied by Alexander
(698. 35). He interprets the clause as meaning ‘so that the divine
thing in vois (i.e. its self-knowledge) belongs rather to the rpéros vois’
(than to the actual vods of mankind). 7 Qewpia will then mean not
A. 7. 1072> 21-32 381
‘contemplation in general but ‘God’s contemplation’. But it is
difficult to supply 76 éavrév voety as the meaning of 6 doxel 6 vods Oetov
éyew. We must, it seems, choose one of two interpretations :
(xt) ‘so that what reason is thought to have of the divine belongs to
the prime mover (éxetvov, cf. éxelvos |. 27) rather than to the human
mind’, s¢. since it always éyeu 76 vontov while we only sometimes do
so. Then 7 Oewpia = ‘ God’s contemplation’.
(2) ‘so that this (actuality) rather than that (potentiality) is what
reason is thought to have of the divine’. This derives some support
from 1074? 21 étu 8€ etre vods 4 odota avTod cite voynois éort. Then
4 Gewpia will mean ‘actual contemplation’ in general. So Bz. takes
the passage.
If éxetvo paAdov rovrov be read the meaning must be ‘so that that
which reason is thought to have of the divine belongs to the prime
mover (rovrov) rather than to the human mind’, This is slightly less
natural than the two interpretations above.
24. For 4 Sewpia as the actuality, opposed to émornun, the poten-
tiality of knowledge, cf. @. 10488 34, 1050%12-14, Phys. 255% 34,
De An. 412% 11, 23, 417% 29, G. A. 735211, L. WV. 1146 31-35.
lob oUTws eb éxel, ds Hpets ToTd, 6 Beds del resumes what was said
in Il. 14, 15.
25. ci S¢ paddov. That God’s voyors is always better than ours ever
is has not been proved, but has been suggested in the words 7 dé
vonows 4 Ka abryy (1. 18), where the self-dependent voyois of God is
contrasted with the human ydyo1s dependent on sense and imagination.
26. For #e retrospective cf. ® 26,
That God’s voyors is always better than ours ever
is has not been proved, but has been suggested in the words 7 dé
vonows 4 Ka abryy (1. 18), where the self-dependent voyois of God is
contrasted with the human ydyo1s dependent on sense and imagination.
26. For #e retrospective cf. ® 26,
30-34. Soot Se... toUTwy. For this view cf. 1075 36, N. 1og1® 33,
tog2%11, As regards the Pythagoreans, Ritter’s notion that they
believed in a development of the divine nature from imperfection to
perfection is generally rejected by scholars. ‘The late position of the
good in the Pythagorean list of opposites perhaps fits in with the
doctrine here ascribed to them. The production of the ‘perfect ’
number ten from less perfect numbers is significant of the same ten-
dency ; and, consistently with this, the Pythagoreans assigned the
higher entities and qualities to the higher numbers. Cf. Zheolog.
Arithm. p. 55 Ast Bur0Aaos 8é pera 70 pabyparixoy péyeOos Tpiyh dua:
atav (ev) rerpdd., moutnta Kal xpoow eridergapevys THs pioews ev
mevTdoL, Wixwow be év E€ddi, vodv O€ Kal tyelay Kal TO tr adrod Acydope-
vov pas ev eBdopudd:, pera TatTa pyow épwra Kal pidiay Kal wyTi Kal
erivoiay ér oydodd. cvpByvat Tots ovow. This point, which was noted
by Gruppe, affords a connexion between the Pythagoreans and Speu-
sippus, who wrote a book on the Pythagoreans and was specially in-
terested in the perfection of the highest number, ten (Diels i.’ 303. 20).
He no doubt considered the good to be manifested first in one of the
later of the grades of substance which he recognized (Z. 1028» 21).
28. Bz.’s conjecture 84 for d¢ greatly improves the sense, and is
supported by Them. 24. 19.
32. Sia 7d kal Tov putay KTh., cf. N. 1092 12.
382 COMMENTARY
35—1073" 3. Cf. @. 1049) 17-27.
1073? 3-» 17. Blass has pointed out that in this whole passage there
are only two hiatuses (# 26,,34), that > 17-38 is almost free from
hiatus, and 1074* 38-? 14 contains only one (> 7), while 1073? Ahora
1074® 38 is full of hiatuses. He points out further that otro in
1074» 3 does not refer naturally to anything that immediately precedes.
He infers that Aristotle has here incorporated, with additions, extracts
from an earlier and less scientific work of his own, in which much more
attention was paid to style. This view can, however, hardly be right.
At least the reference to Callippus’ theory (1073 32-38), and
probably the whole discussion of the concentric spheres and their
movers (1073 14—1074? 14), belongs to the latest period of Aristotle’s
life. Cf. n. at beginning of ch. 8.
This view can, however, hardly be right.
At least the reference to Callippus’ theory (1073 32-38), and
probably the whole discussion of the concentric spheres and their
movers (1073 14—1074? 14), belongs to the latest period of Aristotle’s
life. Cf. n. at beginning of ch. 8.
5, déSektar, Bz. thinks the reference is to Phys. 26717, but
Aristotle’s mode of reference to a separate book is almost invariably
fuller than this (cf. 10724 n.), and, since the first 67. clause (3-5) and
the third (11, 12) clearly refer to the results of the immediately pre-
ceding argument, it is pretty certain that this one does so too, Aris-
totle has not, strictly speaking, shown that the przmum movens is without
extension, but he has proved something from which it readily follows
(cf. Il. 7-11), and dédexrar expresses this fact, though rather loosely.
7. obdev 8 exet Svvapu & diretpov metepacpevoy, Cf, Phys. 2662 24 6,
10. dAws ovK EoTiv Obder daretpoy peyeDos, cf. Phys. iii. 5, De Caeloi. 5.
12, waco. yap at d\dar Kuvyjoers FoTepar THs KATA TéToy, Cf. 1072) 8, 9.
The number of the eternal moving principles (ch. 8).
1073714. Our predecessors have not been precise about this. The
ideal theory does not discuss it. It identifies Ideas with numbers, but
sometimes treats them as unlimited, sometimes (but without sufficient
proof) as limited by the number ro.
22. We can use previous premises and distinctions. The first
principle is an unmoved mover which causes one primary eternal
motion. Since every eternal motion requires an eternal cause, and
there are other eternal motions (viz. those of the planets) besides that
of the first heaven, each of these requires an eternal substance as mover.
It must be substance since the moved is a substance, mover is prior to
moved, and only substance can be prior to substance. There must
be as many such substances as there are motions.
bg. Their number must be determined by astronomy—the most
akin to philosophy of the mathematical sciences—since it alone of
these sciences deals with concrete substance. It is obvious that the
A. 7. 1072” 35~-10737 12 383
motions are more numerous than the moved bodies. We proceed to
give a sketch of the accounts of various mathematicians.
17. Eudoxus assigned three spheres to the sun and three to the
moon,
(1) a sphere having the daily rotation of the fixed stars,
(2) a sphere having a yearly motion along the zodiac,
(3) a sphere having a motion across the zodiac (stretching across
a greater breadth of it in the case of the moon).
He assigned to the planets (1) and (2) and
(3’) a sphere whose poles are in the ecliptic (the poles being the
same for Venus and Mercury),
(4’) a sphere moved obliquely to (3’). Total 26.
32. Callippus kept the same order, and the same number of spheres
for Jupiter and Saturn, but added two each for the sun and moon, and
one for each of the other planets. Total 33.
Total 26.
32. Callippus kept the same order, and the same number of spheres
for Jupiter and Saturn, but added two each for the sun and moon, and
one for each of the other planets. Total 33.
38. We must suppose, for each of these bodies except the moon,
counteracting spheres, one less in number than the positive spheres, to
neutralize their action on the outer sphere of the next system (counting
inwards). Total 55.
Or if we do not add the said motions to sun and moon, we get
Total 47.
107414. This is also the number of the unmoved movers (prob-
ably—we do not claim certainty). If there can be no motion which
does not contribute to the motion of a star, and every substance which
is impassive and in itself has attained the best is an end, this must be
the total number of the unmoved substances. For if there are others,
they must cause motion as ends of motion. But there cannot be other
motions than those named. This is made probable by study of the
moved bodies. For no motion is for its own sake or for the sake of
another motion, but for the sake ofthe stars (otherwise there would be
an infinite regress).
(31. The physical universe is one. For if there were many, each
would have a different individual cause, and therefore the causes would
have to have matter; for, as far as form goes, it is common to many
individuals. But the prime essence has not matter; for it is actuality.
Therefore the prime mover, and therefore also the universe which it
moyes, is one in number as well as in definition.)
38. There is an old tradition that the stars are gods. The rest of the
tradition has been added to lend sanction to the laws and on utilitarian
grounds—i.e. the anthropomorphic or zoomorphic parts of the mytho-
384 COMMENTARY
logy. But the original part, that the prime substances are gods, is in-
spired, It is a relic of that completest possible development of the
arts and sciences, which must have been often achieved and often lost.
Jaeger has argued forcibly (Aris¢, 366-392) that while most of Bk. A
is early, this chapter must have been written quite late in Aristotle’s
life. The theory of Callippus referred to in 1073 32-38 as a thing of
the past (ériOero, 1. 33) can hardly be earlier than 330-325. The
chapter interrupts the discussion of the first mover in chs. 7, 9. It is
written in a full and careful manner, very different from the jottings
which form the rest of the book. The doctrine of the ‘intelligences’
which move the spheres is hardly consistent with the doctrine of the
single first mover in ch. 7 (cf. 1072» 13 f.), and is late—still absent in
the De Motu Animahum and only tentative in Physics viii (258 10-12,
259° 3-15). 1074 31-38 seems to be a fragment belonging to the
earlier and more monistic period of Aristotle’s thought.
1073* 16. For émopdcers = arodpavoes, cf. Rhet. 1365) 24.
7 (cf. 1072» 13 f.), and is late—still absent in
the De Motu Animahum and only tentative in Physics viii (258 10-12,
259° 3-15). 1074 31-38 seems to be a fragment belonging to the
earlier and more monistic period of Aristotle’s thought.
1073* 16. For émopdcers = arodpavoes, cf. Rhet. 1365) 24.
20. dté 8 ds pexpt Tis Sexddosapropevwv. Thisviewis ascribed to some
of the believers in ideal numbers in M. 1084° 12, to Platonists gener-
ally in 1084 31, and to Plato himself in PAys. 206 32. The doctrine
was derived from the Pythagoreans, for whom cf. A. 98628; Philolaus
fr. 11.5; Theo Smyrn. pp. 93. 19, 25, 99. 8, 106. 7 Hiller; Zheologum.
Artthm. pp. 60, 61 Ast; Photius, 4747. p. 439%5 Bekker; Zeller
io 504-505; Burnet, Z. G. P.§ 48. Speusippus connected one with
the point, two with the line, three with the plane surface (the triangle),
four with the solid (the tetrahedron) ; and 1+2+3+4 = 10 ( Theo-
logum. Arithm. p. 63 f.). Cf Z. 1028» a1 n.
24. dxlyntov kat Ka8 abTd Kal KaTa cupPeRnKds = ore Ka’ adTd ovTE
Kata ovpBeBnkds KwyTor.
29. Thy Tod Tavtés Thy GmAHv popdy, the diurnal apparent motion of
the whole heavens.
32. ev Tots puoikois, Phys. viii. 8, 9, De Caclo i. 2, ii. 3-8. ;
33. bw dxwhtou te KiveioOar Kab aitiv Kal didiou odctas. These
moving causes of the several planetary motions are, says Alexander
(706. 32), not identical with the souls of the planets which Aristotle’s
language in De Caelo 292% 20 ff. implies. It is in virtue of their souls
that the planets are able to move at all, but it is in virtue of the desire
of their moving causes for God that they move eternally and uniformly.
The souls of the planets, we may add, are immanent in them, but the
moving causes transcend them as God transcends the arAavijs odaipa.
But it must be remembered that Aristotle nowhere speaks explicitly
of souls of the planets, though he ascribes to the planets action and
life (De Caelo 292% 20).
DY. 81d Thy eipnuevny aitiay mpdtepov seems to refer to ® 5-11.
6. ai 8 Gar wept odSepras odctas, cf. M. 2, 3.
17—1074* 14. The views of Eudoxus, Callippus, and Aristotle about
the planetary system are discussed more fully by Simplicius (Comm,
A. 8. 1073216 — 107317 385
DY. 81d Thy eipnuevny aitiay mpdtepov seems to refer to ® 5-11.
6. ai 8 Gar wept odSepras odctas, cf. M. 2, 3.
17—1074* 14. The views of Eudoxus, Callippus, and Aristotle about
the planetary system are discussed more fully by Simplicius (Comm,
A. 8. 1073216 — 107317 385
in De Caelo 488. 18-24, 493. 4—506. 18), Eudoxus’ theory was
first satisfactorily interpreted by Schiaparelli in Puddlicaziont del
R. Osservatorio di Brera in Milano, 1875). Excellent accounts of
the theory are given in Dreyer, Plane/ary Systems, 84-114, and in
Heath, Arzstarchus of Samos, 190-224. The importance of the
theory in the history of astronomy is well indicated in the following
remarks by Dreyer(p. 107). ‘Scientific astronomy may really be said
to date from Eudoxus and Kalippus, as we here for the first time meet
that mutual influence of theory and observation on each other which
characterizes the development of astronomy from century to century.
Eudoxus is the first to go beyond mere philosophical reasoning about
the construction of the universe ; he is the first to attempt systemati-
cally to account for the planetary motions. When he has done this
the next questionis how far this theory satisfies the observed phenomena,
and Kalippus at once supplies the observational facts required to test
the theory and modifies the latter until the theoretical and observed
motions agree within the limit of accuracy attainable at the time.
Philosophical speculation unsupported by steadily pursued observations
is from henceforth abandoned ; the science of astronomy has started
on its career.’
Simplicius derives his account largely from Sosigenes the Peripa-
tetic (second century a.p., the teacher of Alexander Aphrodisiensis),
who in turn borrowed from Eudemus’ treatment of the subject in his
History of Astronomy. Simplicius quotes from Sosigenes the state-
ment that Aristotle discussed in his Physzcal Problems objections to
the hypotheses of astronomers (sc, Eudoxus and Callippus) arising
from the fact that even the sizes of the planets do not appear always
the same. Simplicius further refers to 1073 10-13 and 1074 14-17
as indicating dissatisfaction with the theory of concentric spheres, But
Aristotle’s doubts are clearly only on points of detail.
Simplicius further refers to 1073 10-13 and 1074 14-17
as indicating dissatisfaction with the theory of concentric spheres, But
Aristotle’s doubts are clearly only on points of detail.
‘The theory of concentric spheres was pursued for some time after
Aristotle. Schiaparelli conjectures that even Archimedes still held to it.
Autolycus, the author of the treatises Ox the moving sphere and On
risings and settings, who lived till the end of the fourth or the begin-
ning of the third century B.c., is said to have been the first to try,
presumably by some modification of the theory, to meet the difficulties
which had been seen from the first and were doubtless pointed out
with greater insistence as time went on. What was ultimately fatal to
it was of course the impossibility of reconciling the assumption of the
invariability of the distance of each planet with the observed differences
in the brightness, especially of Mars and Venus, at different times, and
the apparent difference in the relative sizes of the sun and moon’
(Heath, 221).
17-32. On the general nature of Eudoxus’ theory I cannot do
better than quote Heath (p. 195). ‘Eudoxus adopted the view which
prevailed from the earliest times to the time of Kepler, that circular
motion was sufficient to account for the movements of all the heavenly
bodies. With Eudoxus this circular motion took the form of the
2573-2 ; Cc
386 COMMENTARY
195). ‘Eudoxus adopted the view which
prevailed from the earliest times to the time of Kepler, that circular
motion was sufficient to account for the movements of all the heavenly
bodies. With Eudoxus this circular motion took the form of the
2573-2 ; Cc
386 COMMENTARY
revolution of different spheres, each of which moves about a diameter
as axis. All the spheres were concentric, the common centre being
the centre of the earth; hence the name of ‘“ homocentric spheres”
used in later times to describe the system. The spheres were
of different sizes, one inside the other. Each planet was fixed
at.a point in the equator of the sphere which carried it, the sphere
_revolving at uniform speed about the diameter joining the correspond-
ing poles; that is, the planet revolved uniformly in a great circle of
the sphere perpendicular to the axis of rotation. But one such circular
motion was not enough ; in order to explain the changes in the speed
of the planets’ motion, their stations and retrogradations, as well as
their deviations in latitude, Eudoxus had to assume a number of such
circular motions working on each planet, and producing by their com-
bination that single apparently irregular motion which can be deduced
from mere observation. He accordingly held that the poles of the
sphere which carries the planet are not fixed, but themselves move on
a greater sphere concentric with the carrying sphere and moving about
two different poles with a speed of its own. As even this was not
sufficient to explain the phenomena, Eudoxus placed the poles of the
second sphere on a third, which again was concentric with and larger
than the first and moved about separate poles of its own, and with
a speed peculiar to itself. For the planets yet a fourth sphere was
required similarly related to the three others; for the sun and moon
he found that, by a suitable choice of the positions of the poles and of
speeds of rotation, he could make three spheres suffice. In the accounts
of Aristotle the spheres are described in the reverse order, the sphere
carrying the planet being the last. The spheres which move each
planet Eudoxus made quite separate from those which move the
others. One sphere sufficed of course to produce the daily rotation of
the heavens. ‘Thus, with three spheres for the sun, three for the moon,
four for each of the planets and one for the daily rotation, there were
twenty-seven spheres in all. It does not appear that Eudoxus specu-
lated upon the causes of these rotational motions or the way in which
they were transmitted from one sphere to another; nor did he inquire
about the material of which they were made, their sizes and mutual
distances. In the matter of distances the only indication of his views
is contained in Archimedes’ remark that he supposed the diameter of
the sun to be nine times that of the moon, from which we may no doubt
infer that he made their distances from the earth to be in the same
ratio g: 1. It would appear that he did not give his spheres any sub-
stance or mechanical connexion; the whole system was a purely
geometrical hypothesis, or a set of theoretical constructions calculated
to represent the apparent paths of the planets and enable them to be
computed.’
It would appear that he did not give his spheres any sub-
stance or mechanical connexion; the whole system was a purely
geometrical hypothesis, or a set of theoretical constructions calculated
to represent the apparent paths of the planets and enable them to be
computed.’
Eudoxus of (Cnidus ¢. 408-355 B.c.), one of the greatest mathe-
maticians of antiquity, was the discoverer of the theory of proportion
expounded in the fifth book of Euclid’s Hvements and of ‘the mensura-
tion of areas and volumes by the method of exhaustion, and the first
A. 8. 1073" 18-19 387
proposer of the Julian cycle. He was a pupil of Archytas and of
Plato, who is said to have suggested to him for solution the problem
of planetary motion (Simpl. 488. 21). He explained his system in
a book On Velocities, which like all his other works is lost. Aristotle
had his knowledge of the system from Polemarchus, an acquaintance
of Eudoxus.
18. thy pev mpdtyy Thy Tv dmdavdv dotpwv eivar, i.e. the first
(outermost) sphere of the sun (and similarly the first sphere of the
moon) was meant to explain its diurnal motion from east (through
south) to west. Aristotle means not that the first sphere of the sun or
of the moon was the sphere of the fixed stars, but that it had the
same motion.
19. Thy Sé Seutépay Kata Tov 81d péowy Tav Lwdiwv (KvKAor), i.e. the
second sphere moved in the circle which bisects the signs of the zodiac
longitudinally, in other words the ecliptic, the Aogds kVKos Of 107.1% 16
(which is different from the AeAofwpévos of 107320). Simplicius
supposes that this second sphere produced, in the case of the moon,
the revolution from west to east in a lunar month, while the third
sphere produced the retrograde movement of the nodes (or points of
highest latitude) in about eighteen years. But it has been pointed out
that if these were the relative speeds of the two spheres ‘the moon
‘would have been found for nine years north, and then for nine years
south, of the ecliptic .. . We must assume that the third sphere pro-
duces the monthly revolution of the moon from west to east... round
a circle inclined to the ecliptic at an angle equal to the greatest latitude
of the moon, and then that this oblique circle is carried round by the
second sphere in a retrograde sense along the ecliptic in a period of
223 lunations’ (Heath, 197). Simplicius’ mistake goes back to
Aristotle, since ‘ Aristotle clearly implies that the second sphere cor-
responds to the movement in longitude for all the seven bodies
including the sun and moon, whereas in fact it only does so in the
case of the five planets’ (ib.).
Simplicius’ mistake goes back to
Aristotle, since ‘ Aristotle clearly implies that the second sphere cor-
responds to the movement in longitude for all the seven bodies
including the sun and moon, whereas in fact it only does so in the
case of the five planets’ (ib.).
With regard to the sw, Simplicius says that, as in the case of the
moon, the third or innermost sphere moves much more slowly than
the second, but (unlike the third sphere of the moon) in the direct
order of the signs (493. 15-17, 494. 6, 7, 9-11). ‘Simplicius makes
the same mistake as regards the speeds of the second and third
spheres as he made in the case of the moon. If it were the third sphere
which moved very slowly, the sun would for ages remain in a north or
a south latitude and in the course of a year would describe, not a
great circle, but (almost) a small circle parallel to the ecliptic. The
slow motion must therefore belong to the second sphere, the equator
of which revolves in the ecliptic, while the revolution of the third
sphere must take place in about a year..., the plane of its equator
being inclined, at the small angle mentioned, to the plane of the
ecliptic . . . The slightly inclined great circle of the third sphere
which the sun appears to describe is thus carried round bodily in the
. Cic?
op an COMMENTARY
revolution of the second sphere about the axis of the ecliptic, the
nodes on the ecliptic thus moving slowly forward, in the direct order
of the signs; and lastly both the second and third spheres are carried
round by the revolution of the first sphere following the daily rota-
tion’ (Heath, 198).
The sun’s apparent motion is, asa matter of fact, along the
ecliptic, so that two circles would have been enough to explain its
motion. How did Eudoxus come to suppose that it moved at a small
angle to the ecliptic? Simplicius says this was inferred from the sup-
posed observation that the sun, at the winter and summer solstices,
does not always rise at the same point of the horizon (493. 11-17, cf.
Al. 703. 27). Schiaparelli thinks that the early astronomers inferred
a movement of the sun in latitude from the observed motion of the
moon and the planets in latitude. This belief was opposed by
Hipparchus, but lasted long; Pliny puts the inclination at one degree,
Theon at half a degree. Schiaparelli (p. 17) shows that the theory
was not started to explain the precession of the equinoxes, ‘ which was
discovered by Hipparchus, but was unknown to Eudoxus, Pliny, and
Theon’ (Heath, 200).
‘ Eudoxus supposed the annual motion of the sun to be perfectly
uniform; “he must therefore have deliberately ignored the discovery,
made by Meton and Euctemon sixty or seventy years before, that the
sun does not take the same time to describe the four quadrants of its
orbit between the equinoctial and solstitial points ’ (ib.).
23. kal tovTwy Sé Thy péev mpetyv Kal Seutépav Thy atThy etvar
éxelvats, i.e. the planets shared not only the diurnal motion of the sun
and the moon, but also their motion along the ecliptic. ‘The periods
of this motion, ‘in the case of the superior planets, are respectively
equal to the sidereal periods of revolution, and in the case of Mercury
and Venus (on a geocentric system) one year. As the revolution of the
second sphere was taken to be uniform, we see that Eudoxus had no
idea of the zodiacal anomaly of the planets, namely that which depends
on the eccentricity of their paths, and which later astronomers sought
to account for by the hypothesis of eccentric circles; for Eudoxus the
points on the ecliptic where successive oppositions or conjunctions
took place were always at the same distances, and the arcs of retro-
gradation were constant for each planet and equal at all parts of the
ecliptic. Nor with him were the orbits of the planets inclined at all to
the ecliptic; their motion in latitude was believed by Eudoxus to
depend exclusively on their elongation from the sun and not on their
longitude’ (Heath, 200-201).
26. éwd tatty, nearer than this to the centre of the universe,
the earth.
27. adwacdy, sc. Tov ohaipdv Or trav dopdv. ‘Of all the planets’
would have been more accurate.
28. ris S€ tpityns dmdvtwy tods modous év TH Bid pécwy Tov Lodiov
eivat, i.e. ‘the third sphere had its poles at two opposite points on the
A. 8. 1073 23-29 389
zodiac circle, the poles being carried round in the motion of the second
sphere ; the revolution of the third sphere about the poles was again
uniform and took place in a period equal to the synodic period of the
planet or the time which elapsed between two successive oppositions
or conjunctions with the sun’ (Heath, 2or). It is not clear in which
of the two possible directions this sphere rotated, but Schiaparelli
shows that this does not matter for the theory.
29. THs dé TeTdpTyS Thy hopdv Kata Tov (KUKAoV Tov) Neho§wpevov
mpds Tov pecov TavTyS (K’KAov). The fourth sphere moved in a circle
inclined to the equator of the third. The inclination ‘was constant
for each planet but different for the different planets. And the rota-
tion of the fourth sphere about its axis took place in the same time as the
rotation of the third about its axis but in the opposite sense. On the
equator of the fourth sphere the planet was fixed, the planet thus having
four motions, the daily rotation, the circuit in the zodiac, and two other
rotations taking place in the synodic period’ (Heath, 201).
On the
equator of the fourth sphere the planet was fixed, the planet thus having
four motions, the daily rotation, the circuit in the zodiac, and two other
rotations taking place in the synodic period’ (Heath, 201).
The combined effect of the rotation of the third and fourth spheres
is thus described by Simplicius (496. 23—497. 6): ‘ The third sphere,
which has its poles on the great circle of the second sphere passing
through the middle of the signs of the zodiac, and which turns from
south to north and from north to south, will carry round with it the
fourth sphere which also has the planet attached to it, and will more-
over be the cause of the planet’s movement in latitude. But not the
third sphere only ; for, so far as it was on the third sphere (by itself),
the planet would actually have arrived at the poles of the zodiac
circle and would have come near to the poles of the universe ; but, as
things are, the fourth sphere, which turns about the poles of the
inclined circle carrying the planet and rotates in the opposite sense
to the third, i.e. from east to west, but in the same period, will prevent
any considerable divergence (on the part of the planet) from the
zodiac circle, and will cause the planet to describe about this same
zodiac circle the curve called by Eudoxus the Azppopede, so that the
breadth of this curve will be the (maximum) amount of the apparent
deviation of the planet in latitude, a view for which Eudoxus has been
attacked’ (Heath, 201-202). Schiaparelli has shown how it was
possible for Eudoxus, with the geometrical knowledge at his command,
to arrive at the Azppopede (horse-fetter) or spherical lemniscate (a sort
of figure of eight) as the path of a planet so far as it is determined by
the third and the fourth of its spheres. But in virtue of the second
gopd the lemniscate itself moves along the ecliptic. The actual
motion of the planet among the fixed stars is due to the combination
of these two motions. For half the synodic period the motion of the
planet along the lemniscate accelerates its motion along the ecliptic,
and for half of the period it retards it. When the backward motion
along the lemniscate is greater than the forward motion of the
lemniscate the planet retrogrades, and when the two motions are equal
it is stationary. The theory is evidently meant to explain the retro-
390 COMMENTARY
When the backward motion
along the lemniscate is greater than the forward motion of the
lemniscate the planet retrogrades, and when the two motions are equal
it is stationary. The theory is evidently meant to explain the retro-
390 COMMENTARY
gradations and the stations of the planets; while the breadth of the
lemniscate defines their motions in latitude. Except in the case of
Mars, Eudoxus (according to the figures given by Simplicius 495.
26-29, 496. 6-9) assigned fairly accurately both the synodic and the
zodiacal or sidereal periods, which implies the use of careful observa-
tions whether Egyptian or Babylonian. -We~do not know the angles
of inclination of the axis ef the fourth to that of the third sphere which
he assigned for the several planets, but taking the most probable
angles Schiaparelli has shown that ‘for Jupiter and Saturn, and to
some extent for Mercury also, the system was capable of giving on the
whole a satisfactory explanation of their motion in longitude, their
stationary points, and their retrograde motions; for Venus it was
unsatisfactory, and it failed altogether in the case of Mars. The
limits of motion in latitude represented by the various /zppopedes were
in tolerable agreement with observed facts, although the periods of
the deviations and their places in the cycle were quite wrong’
(Heath, 211).
30. elvar Sé THs TpiTHs ohalpas Tos médous TOV pev GANwv idious,
tos S€é THs “Appoditys kal Tod ‘Eppod Tods adtovs. ‘As regards Mercury
and Venus, inasmuch as their mean positions coincide with the mean
position of the sun, Eudoxus must have assumed that the centre of the
hippopede always coincides with the sun. ‘This centre being on the
ecliptic and at a distance of go° from each of the poles of rotation of
the third sphere, the poles of the third sphere of Mercury and the
poles of the third sphere of Venus coincide’ (Heath, 210).
31-35. These names for the planets are apparently late. They occur
first in Pl]. Epznoms 9878 f., where they are mentioned as compara-
tively new (the name Hermes occurs in Z?m.'38D). Plato ascribes
the names to a Syrian origin, and they were in fact derived from
Babylonia. In earlier Greek literature only “Eozepos and “Ewodopos
are mentioned by name, though the names ®aivwy (Saturn), @acOwv
(Jupiter), TIvpdes (Mars), ®woddpos (Venus), Sr/ABwv are probably
old (Burnet, £. G. P.2 23, n. 1).
32. Callippus of Cyzicus (fl. 330 B.c.) studied with Polemarchus,
a friend of Eudoxus, and is said to have stayed at Athens with Aristotle,
‘correcting and completing, with Aristotle’s help, the discoveries of
Eudoxus’ (Simpl. 493. 5-8).
33-34. tod . . . ta, which is omitted by E, is doubtless a gloss
like those (also beginning with rodr’ éo7v) which A has in A. 984?
11, T. r009% 26. Cf. I. 1053» 31,
493. 5-8).
33-34. tod . . . ta, which is omitted by E, is doubtless a gloss
like those (also beginning with rodr’ éo7v) which A has in A. 984?
11, T. r009% 26. Cf. I. 1053» 31,
34. TO peév Tod Ards kal TO TOO Kpdvou Td adtd exeivw drediSov. As
a matter of fact, Eudoxus’ theory, as we have seen, works best for
these planets. Callippus had evidently ‘not perceived the elliptic
inequality in the motion of either planet, though it can reach the value
of five or six degrees ’ (Dreyer, 104). Norcan he have perceived their
deviations in latitude.
35- TOS FrLw kal TH ceAyvy S00 Weto Ett mpocOereas civar ohaipas,
A. 8. 1073 30-38 301
TG Horvdpeva, ei pedder Tus dmoddcew. Simplicius tells us that ‘accord-
ing to Eudemus, Callippus asserted that, assuming the periods between
the solstices and equinoxes to differ to the extent that Euctemon and
Meton held that they did, the three spheres in each case (i.e. for the
sun and moon) are not sufficient to save the phenomena, in view of
the irregularity which is observed in their motions’ (Heath, 218). With
regard to the sun, Euctemon, about 430 B.c., ‘had made the length
of the seasons (beginning with the vernal equinox) 93, 90, 90, and g2
days respectively . . . Callippus, about 330 B.c., made the correspond-
ing lengths 94, 92, 89, 90 days respectively’ (ib. 215)—a much
more accurate estimate. Callippus accounted for the inequality by
supposing, besides the three spheres attributed by Eudoxus to the sun,
a fourth with its poles on the third, and a fifth with the sun on its
equator, its poles on the fourth sphere, and its axis slightly inclined to
the axis of the fourth; the fifth sphere rotating at the same speed as
the fourth and in the opposite direction. Thus Callippus explains the
sun’s unequal motion in longitude as Eudoxus explained the synodic
inequalities of the planets, by a Azppopede; and ‘this representation of
the motion of the sun is almost as accurate as that obtained later by
means of the eccentric circle and the epicycle’ (id. 216). Sim-
plicius implies that Callippus assigned two new spheres to the moon
for the same reason; i.e. he ‘was aware of the inequality in the motion
of the moon in longitude’ (ib.)—a discovery which would naturally
have resulted from comparing the times of lunar eclipses with the
corresponding longitudes of the moon. Here again a Azppopede would
explain all the facts except evection.
he ‘was aware of the inequality in the motion
of the moon in longitude’ (ib.)—a discovery which would naturally
have resulted from comparing the times of lunar eclipses with the
corresponding longitudes of the moon. Here again a Azppopede would
explain all the facts except evection.
37- Tots S€ Norrois TOv ThayyTwv ExdoTw piav. Simplicius tells us that
‘the reason why Callippus added the one sphere which he added in the
case of each of the three planets Ares, Aphrodite,and Hermes was shortly
and clearly stated by Eudemus’ (497. 17-24); but he does not tell us
what it was. We have already seen that Eudoxus’ system fails
signally with Mars. ‘The fifth sphere was probably meant to account
for the retrogradations of Mars, without assuming as Eudoxus did
a synodic period other than the true one (260 instead of 780 days).
Schiaparelli has been able to show how three concentric spheres
instead of Eudoxus’ latter two will give the planet at certain points
‘a much greater direct and retrograde velocity with the same motion
in latitude’ (Heath, 215) and thus ‘preserve the appearances’ much
better.
In‘ the case of Venus and Mercury also, Callippus’ fifth sphere
enabled him to approach nearer to the facts than Eudoxus had done.
38. Eudoxus and Callippus had offered a purely geometrical account
of the planetary system; Aristotle aimsat a mechanical account, and can-
not isolate the system of one planet from that of the next. He therefore
supposes for each ‘ planet’ except the moon certain spheres which ‘ roll
back’ the outer sphere of the planet just nearer to the earth than the given
planet, i.e. which prevent the influence of the forward-moving or
392 COMMENTARY
He therefore
supposes for each ‘ planet’ except the moon certain spheres which ‘ roll
back’ the outer sphere of the planet just nearer to the earth than the given
planet, i.e. which prevent the influence of the forward-moving or
392 COMMENTARY
deferent spheres of one planet from affecting the next. The mode
of operation of the ‘ backward-rolling ’ spheres is explained clearly by
Heath. ‘Suppose A, B, C, D to be the four spheres postulated for
Saturn, A being the outermost and D the innermost on which the
planet is fixed. If inside the sphere D we place a first reacting sphere
D’ which turns about the poles of D with~equal speed, but in the
opposite sense, to D, the rotations-of D and D’ will mutually cancel
each other and any point of D’ will move as though it was rigidly con-
nected with the sphere C. Again, if we place inside the sphere D’
a second reagent sphere C’ rotating about the same poles with C and
with equal speed, but in the opposite sense, the rotations of C and C’
cancel each other, and any point of C’ will move as if it were rigidly
connected with the sphere B, Lastly, if inside C’ a third reagent
sphere B’ is introduced which rotates about the same poles with B and
at the same speed but in the opposite sense, the rotations of B and B’ will
cancel each other and any point of B’ will move as if it were rigidly con-
nected with the sphere A. But, as A is the outermost sphere for Saturn,
A is the motion of the sphere of the fixed stars; hence B’ will move
in the same way as the sphere of the fixed stars; and consequently
Jupiter's spheres can move inside B’ as if the spheres of Saturn did not
exist and as if B’ itself were the sphere of the fixed stars’ (p. 218).
In this system, however, both the innermost reacting sphere of a planet
and the next sphere to it, the outermost deferent sphere of the next
planet, are moving with the same motion, viz. that of the fixed stars,
so that the second of these two spheres is superfluous. Aristotle might
thus have reduced the total number of spheres by six.
107425. The subject of movetoOar is daravra, which = ovyrebetoar
maga. (at opaipa) 1073" 38. tiv dopdv answers to Ta hawopeva
1074°T,
6. at pev dxrd, i. e. four each for Saturn and Jupiter (1073 23, 34).
7. at dé mévTe Kat elkoow, i.e. five for each of the other five bodies
(107317 and 35, 23 and 37).
The subject of movetoOar is daravra, which = ovyrebetoar
maga. (at opaipa) 1073" 38. tiv dopdv answers to Ta hawopeva
1074°T,
6. at pev dxrd, i. e. four each for Saturn and Jupiter (1073 23, 34).
7. at dé mévTe Kat elkoow, i.e. five for each of the other five bodies
(107317 and 35, 23 and 37).
7-8. tovtwv dé wdvas 06 Set... Pepetar. ‘Aristotle should have realized
that, strictly speaking, the account which he gives in the Me/eorologica of
shooting stars, comets, and the Milky Way necessitates the introduction
of four reacting spheres below the moon. For, according to Aristotle,
these phenomena are the effects of exhalations rising to the top of the
sublunary sphere and there coming into contact with another warm and
dry substance which, being the last layer of the sublunary sphere and
in contact with the revolution of the outer heavenly sphere, is carried
round with it; the rising exhalations are kindled by meeting and being
caught in the other substance and are carried round with it. Hence
there must be a sphere below the moon which has the same revolu-
tion as that of the sphere of the fixed stars, in order that comets, &c.,
may be produced and move as they are said to do. The four inner
spheres producing the moon’s own motion should therefore be neutra-
lized as usual by the same number of reacting spheres’ (Heath, 219).
0 ee ee ee Ns ee Cee eit nee ees eae
A. 8. 1074 5-14 393
10-12, 6 8}... wévte. The number of the spheres in the several
theories is as follows :
Eudoxus Callippus Aristotle
Saturn 4 4 7
Jupiter 4 4 7
Mars 4 5 9
Venus 4 5 9
Mercury 4 5 9
Sun 3 5 9
Moon 3 5 5
26 33 55
12-14. ei 8€...tTecoapdkoyta. It isnot evident how Aristotle reduces
the number from 55 to 47. If Callippus’ extra spheres for the sun and the
moon, and the corresponding reagent spheres ofthe sun, be deducted,
the total is reduced only by six. Alexander makes three suggestions
(706. 8-15): (1) that Aristotle subtracts the two Callippean spheres
of the sun, and the two reagent spheres to correspond, and similarly
subtracts four spheres from the moon, forgetting that there are here
no reagent spheres to be subtracted. (2) that he subtracts all the
extra spheres assigned to the sun and the moon by Callippus and
himself, forgetting that two of the extra sun-spheres are needed to
counteract two of the Eudoxean sun-spheres. (3) that, as Sosigenes
had suggested, we should read évvéa for érrd.
(2) that he subtracts all the
extra spheres assigned to the sun and the moon by Callippus and
himself, forgetting that two of the extra sun-spheres are needed to
counteract two of the Eudoxean sun-spheres. (3) that, as Sosigenes
had suggested, we should read évvéa for érrd.
Another suggestion has been made by Krische, who (followed by
Schwegler and Bz.) holds that the motions to be subtracted are the
four reagent motions of Mercury which prevent its forward motions
from affecting the sun, and the four reagent motions of the sun which
prevent its forward motions from affecting the moon. These, he
thinks, may be omitied because, the sun and the moon being far from
one another and from the planets, there is no danger of their being
affected by the forward movements of Mercury and the sun respectively.
To this view there are three objections. (a) Aristotle says nothing of
a greater isolation of the sun and the moon, and it is clear that he
believed all the spheres to be in contact (De Caelo 287% 5-11)—
presumably assigning various thicknesses to the shells of the spheres.
(4) The reagent spheres are spoken of as belonging to the system of
the outer, not the inner, of the two planets concerned (I. 1), so that
the meaning required by Krische’s view would have been expressed by
saying ‘if one were not to assign fo Mercury and to the sun the motions
we spoke of’. (c) Krische ignores De Caelo 29135 éAdrrovs yap
Avs Kal oedyvn KWotvTa KWyoes HY TOV TAGVW_EVWOV aoTpwV eva.
This of course refers to the forward motions only. Now the greatest
number of forward motions assigned to any of the planets is five, so
that Aristotle must have assigned less than five forward motions to the
sun and the moon; i.e. the reduction of the total number of spheres
394 COMMENTARY
to 47 is not got by subtracting reagent spheres only, as Krische
supposes.
Dreyer (p. 114) suggests, after Martin, that Aristotle might have
meant to dispense not only with the extra Callippean spheres of the
sun and the moon but also with one of the Eudoxean spheres of the
sun, that which was devised to explain the-supposed motion of the sua
in latitude, and accordingly to reduce the reagent spheres of the sun
to one. This would give the number 47, but as Dreyer observes
Aristotle is unlikely to have thought of this reduction. There is at any
rate nothing in this passage to suggest it.
This would give the number 47, but as Dreyer observes
Aristotle is unlikely to have thought of this reduction. There is at any
rate nothing in this passage to suggest it.
The most probable explanation of Aristotle’s meaning is the second
given by Alexander, viz. that as regards the sun and the moon Aristotle
proposes to return to Eudoxus’ theory. But if this be so, he holds that
the sun and the moon have fewer motions than any of the planets;
why then does he say in the De Caelo (loc. cit.) that they have fewer
motions than some of the planets? ‘The answer is that the paradox he
is examining there is that the number of motions of the heavenly bodies
does not increase steadily as we proceed inward from the sphere of the
fixed stars, which has one only, but first increases and then decreases.
It is enough for the statement of the paradox to say that the sun and
the moon have fewer motions than some of the planets, and Aristotle
does not say more than the statement of the paradox requires.
14. The manuscripts and Alexander have opa:pav, while Them.¢ and
Simpl.¢ have opdv, and read xai ras aicOyras |. 16, which is omitted
by Alexander. If these last words are kept, they must refer to the
spheres, and since the number of the spheres cannot be inferred from
itself, odaipdv in 1. 14 cannot stand. qopdy is probably an early
emendation which has come in for this reason. But it does not suit
the context. It is not the case that Aristotle has so far enumerated
motions and only now proceeds to infer corresponding spheres.
Spheres have been mentioned throughout the passage 1073) 17—
1074%14, and the enumeration in 1074 6-14 has been expressly
stated as an enumeration of spheres. oda:pdv therefore is right.
But if so, xat ras aicOnras, as we have seen, cannot also be right. In
any case the word dpxat is not appropriate to the sensible things in
question, the spheres, but to their movers, and it is to these that the
word ovtcia also is in the context applied (1. 22), The argument in
ll. 17-24 is purely an argument from the number of the spheres (or
movements) to the number of the moving causes. Goebel is therefore
right in omitting kal ras aicOyras.
17-24. The argument is: (1) There is no motion in the heavens
which does not contribute to the motion of a star. (2) Every substance
which is free from outside influence (draOys |. 19 = axivyros |. 15) and
is enjoying the sammum donum must be an end, and must produce
a motion by final causality (1. 22). In other words,
All motions in the heavens are motions required to explain the
behaviour of the heavenly bodies.
Every perfect substance produces a motion in the heavens.
A. 8. 10742 14 — 1074> 3 395
Therefore the number of perfect substances is the number of the
motions required to explain the motion of the heavenly bodies.
20. Bz. is clearly right in proposing to read téAogs (which is read by
two manuscripts of Alexander); this is shown by as téAos odaar popas
bea.
10742 14 — 1074> 3 395
Therefore the number of perfect substances is the number of the
motions required to explain the motion of the heavenly bodies.
20. Bz. is clearly right in proposing to read téAogs (which is read by
two manuscripts of Alexander); this is shown by as téAos odaar popas
bea.
21. tavtas, the 55 (or 47) unmoved movers answering to the 55 (or
47) spheres.
22-23. The movers of the planetary spheres are here said to act as
final causes on the planetary spheres, as God does on the sphere of the
fixed stars; i.e. a sort of desire is ascribed to the planetary spheres ;
cf. De Caelo 292% 20-25. The relation of their movers to God is
nowhere stated, but is presumably also one of desire.
Though the mover is the téAos opas here, the moved body is the
tédos hopas in 1. 30; i.e. the mover is the of évexa in the sense of
the rwvds, and the moved is the o@ évexa in the sense of the rwi, to use
the language of 1072? 2.
31-38. The unity of the universe is proved on physical grounds in
De Caelo i. 8, 9; Aristotle here offers the metaphysical proof which he
there merely refers to, 2779. Schwegler points out a difficulty into
which Aristotle falls. If the immateriality of the first mover proves its
uniqueness, how can there be 55 immaterial movers, as Aristotle’s
theory implies? The objection goes back to Plotinus, Lym, v. 1.9
mas 6& Kat TOAAG ovTws dowpara dvra VAys"od xwpilovons; and is
difficult to answer. Cf. Introduction, cxxxix f.
On this’section cf. note at beginning of ch.
33- S00 dpiOug awoddd, UAnv exe. Ch Z. 1044% 7, De Caelo
278° 18,
34. els yap Adyos kal 6 adTds ToOAGy, otov avOpdmou, ZwKpdtys Se
ets. Aristotle expresses himself rather obscurely, but the point seems to
be this: One and the same definition, e. g. that of man, applies to. many
individuals, but Socrates is only one, and therefore must have in him
something over and above the definition of man, something to dis-
tinguish him from other men, i.e. must have An.
35-36. 76 Se ti fy etvar. .. 7d mp@Tor, i.e. the prime mover, which
has been described in 1072? 25 as pure actuality or essence.
38-14. For Aristotle’s views on the element of truth in popular
religion see De Caelo 270) 5-9, 2848 2-13, » 3, Meteor. 339” 19-30,
and cf, Pl. Crat. 397 c, Phil. 16 c. Towards the defazls of popular
belief Aristotle adopts a somewhat contemptuous attitude; cf B.
10007 9, De Caelo 2847 18.
3. obro. The reference is rather vague—either to the beings that
move the stars (® 22) or more probably to the stars themselves (4 30).
Cf. 1073* 3-» 17 n. and n. at beginning of ch.
3-8. ta 8€ ora... cipypevors. Aristotle speaks as if Cronos,
Zeus, Ares, Aphrodite, and Hermes were primarily star-gods and
only later had human characteristics assigned to them. This is not
historically true; the application of these names to the planets is late
(cf: 1073 31-35 n.). His meaning is probably more general—that
396 COMMENTARY
This is not
historically true; the application of these names to the planets is late
(cf: 1073 31-35 n.). His meaning is probably more general—that
396 COMMENTARY
the gods of mythology have their origin in the prime forces that lie
behind nature, and that early religion is right in recognizing the divine
behind nature (Il. 8-10).
4. For the utilitarian value of myth cf. a. 995 4.
5-7. The anthropomorphism of the early beliefs is referred to simi-
larly in B. 997" 10, Pol. 1252» 26. In Aristotle’s own view the stars
are really much more divine than men (Z. WV. 1141 34).
6. kai tv dddwv Lowy dpotous trot, Alexander refers to the Egyptian
mythology, and Aristotle may have had this in mind, since he refers
to barbarians, and indeed to the Egyptians, in a similar connexion
(De Caelo 240 5, Pol. 1329”25-33).
The traces of zoolatry in Greek religion are very slight and their
meaning notclear. Cf. Farnell, Cud/s of the Greek States, iii, 58-62 on
the horse-headed Demeter, iv. 115-116 on Apollo Avxevos.
10. For the belief in cycles of artistic and scientific discovery cf.
De Caelo 240 19, Meteor. 339” 27, Pol. 1329 25. Plato already has
the notion; he speaks more than once of past destructions of mankind
by fire or water (Zim. 22.c, 23 a B, Crd. 109 pv, Laws 788 B).
The mode of existence of the supreme reason (ch. 9).
1074515. What must be the mode of existence of reason, if it is the
most divine thing in the world? (1) If it thinks nothing, it is no
better than a man asleep. (2) If it thinks, but its thinking depends
on something else, it being itself only potency, not it but its thinking
will be the best thing. (3) What does it think? Itself or something
else? If the latter, either the same object always or different things
at different times. Does it make a difference whether its object is
noble or trivial? Evidently it must contemplate what is most divine,
and without changing; any change would be for the worse and would
infect with movement what is unmovable.
28. (Return to question (2).) If it is only a potency, (a) the
continuity of its thought will be laborious; (4) its object will be nobler
than it. The potency may be realized in the thinking of the worst
possible object, so that the mere thinking is not what is best.
33. (Return to question (3).) Therefore, since reason is the best
thing in the universe, it must think itself; its thinking is a thinking of
thinking.
35. (4) But how can this be? All apprehension seems to be of
another, and of itself only by the way, And (5) is it thinking or being
thought that gives reason its goodness ?
38. (Answer to question (4).) Where the object is immaterial it is
A. 8. 10744 —9. 1074» 16 307
identical with the subject, and this is the case with the object of
reason,
38. (Answer to question (4).) Where the object is immaterial it is
A. 8. 10744 —9. 1074» 16 307
identical with the subject, and this is the case with the object of
reason,
1075* 5. (6) Is the object composite? If so, the thought of it
involves transition. No; everything immaterial is indivisible, As
the human reason (or rather that of composite beings) is in a certain
period of time (for it possesses its good not in this or in that but
in a whole, since its good is different from itself), so is the divine
self-thought throughout eternity.
Aristotle now turns to the consideration of 6 vots, i.e. of the supreme
intellect which has in ch. 7 been shown to be implied as the cause of
the movement of the heavens,
107416. The description of the supreme reason as the most divine
Tov Patvonever is strange, since ra pavdueva Means properly things
apprehended by sense. But ¢atveoOar can also be used of what is
discovered by reason (Bz. /udex 809* 8), and seems to be used here
of all the things discovered whether by sense or by reason,
16-35. There are certain difficulties, which must be met if we are
to succeed in describing the supreme reason in such a way as to
make it the most divine of all the things we know. (1) LI. 17,
18. We must not describe it as knowing nothing, This is to make it
an unrealized potentiality, which is no fit object of worship. (2) LI.
18-21. We must not say that it knows but something else determines
it to know. This is to make it essentially a dvvayis, which must be
inferior to its actuality and therefore not the best thing in the world.
(3) Li. 21-27. It must know (a) itself or (6) something else, and if
something else, then either (i) always the same object or (ii) different
objects at different times. Now the object of knowledge makes a
difference to the value of the knowledge; the object of the supreme
reason must therefore be what is most divine, and therefore not
different things at different times. Any change must be a change
for the worse, and, apart from this, no change should be ascribed
to that which has been shown in ch, 7 to be unchangeable. (ii) is
thus set aside.
Aristotle now (I. 28) recurs to the second difficulty, though this has
already been dealt with in ll. 18-21. He has in ll. 21, 22, implied
that that question is not quite settled, and he returns to it because
it has a bearing on the third. If the supreme reason is a mere
faculty of knowing, then (a) it will find continuous knowledge toil-
some (cf. @. ro50%24, De Somno 454° 26), which is absurd, and
(4) the object of its knowledge, which as we have seen (Il. 25, 26)
must be the most divine thing in the world, will be more precious
than the reason or its knowing, since, if reason is a mere faculty,
it is a Svapus rdv évavtiwy and is capable of being actualized
as the knowledge of the worst thing in the world, so that its mere
actualization cannot be the best thing in the world.
AS
398 COMMENTARY
AS
398 COMMENTARY
This enables Aristotle (I. 33) to set aside not only the suggestion
that the supreme reason is a mere faculty, but also the suggestion
(3 (2) above) that it knows anything other than itself. Since it is the
most divine thing in the world (I. 16), and its object is the most
divine thing in the world (ll. 25, 26), it must be its own object.
Its knowing is a knowing of knowing. —_
The argument is somewhat confused by the failure to keep the
—second and the third question distinct.
For the doctrine of vonaews vonats cf. 1072) 20.
18-21. Alexander supposes Aristotle to be here setting aside the
suggestion that not reason as a whole but some part of it is what
strictly speaking knows (xvpiov). But this interpretation is ruled out
by Gd\Aa ddvapyis 1. 20 and by ere vods ere vénows |. 21, where vots
answers to dvvamuis |. 20. ddAo Kvproy is ‘some external condition
determining reason to activity’.
35-38. Of the two difficulties raised here, Aristotle answers the
first in 38—1075%5; he points out that the divine véyois knows itself
not év wapepyw but as its only object. The second question is left
unanswered. The answer Aristotle probably has in mind is something
like this: If A knows B and is known by C the question may fairly
be asked ‘is it in virtue of its knowing or of its being known that A is
good?’ But when A knows itself, the question becomes ‘is it because
A knows A or because A is known by A that A is good?’ and this is
an unmeaning question.
36. atts 8 év mapépyw, e.g. the medical man knows primarily
about health, and secondly that his knowledge is knowledge about
health.
10757 1-3. émt pev . . . vonors, ‘in the arts the knowledge is the
substance and essence of its object, and in it only the matter of
the object is omitted, while in the sciences the definition and knowing
is the very object’ (since the object in this case, being universal,
contains no matter), Cf. Z. 10324 32-6 14, De An. 430% 2, 19.
3-5. ox érépou... pia. ‘The object of thought and the thought
not being different in the case of immaterial things, the supreme
thought and its object will be the same, and the thinking will be
one with its object.’ Aristotle uses a certain amount of tautology
here for the sake of emphasis.
6. petaBdddor yap . . . Sdov, ‘for if so, reason would change in
passing from part to part of the whole’, whereas reason has been
shown in ch. 7 to be unchangeable.
7. dowep, Bz. reads aorep ydp, but in the style of Bk. A the
asyndeton seems possible. 7 dd.aiperov... 10. aidva; is an example
of ‘binary structure’ with domep. Cf. A. 983) 16 n.
8. 46 ye tav cuvOéTwy. Bz. (after Ravaisson) brackets 7 and trans-
lates ‘although its objects are composite things’. But (1) ye cannot
mean ‘although’. (2) vods with an objective genitive is difficult (cf.,
however, De An. 430» 28 6 rod ti eat, sc. vots). (3) It is doubtful if
vods would be described as apprehending ra ovvGera, which are pro-
A. 9g. 1074) 18 — 10757 10 399
But (1) ye cannot
mean ‘although’. (2) vods with an objective genitive is difficult (cf.,
however, De An. 430» 28 6 rod ti eat, sc. vots). (3) It is doubtful if
vods would be described as apprehending ra ovvGera, which are pro-
A. 9g. 1074) 18 — 10757 10 399
perly the objects of émuoryuy (didvoiw). It is therefore better to follow
Alexander’s interpretation: ‘As the human reason, or rather the
reason of beings compounded out of matter and form’; the last
words extend the remark so as to make it refer to any beings other
than man who have reason and also have matter. It is awkward that
ovvGerov should refer in |. 5 to the object and in 1. 8 to the subject
of knowledge, but this is not unlike Aristotle’s manner; he is care-
less in such matters.
For the opposition of 76 cvv@erov, that which is half-divine, half-
animal, to God, cf. £. V. 1177 28, 1178%20.
&y tu xpévw. Bz. compares 1072» 15 puxpov xpovov Huty, 25 ws Hyets
more, but the comparison is misleading. éy tue xpdvw Means not ‘for
a certain time’ nor ‘at certain times’ but ‘in a certain time’.
The meaning of évy when used of time is seen from such passages
as £. NV. rior 11 ék re Tov Towvrwr (sc. druxnudtwv) odk ay yévorTo
madw evdaipwv ev ddAlyo xpdvm, 1174%27 odk eorw ev dtwodv xpdvw
aBety kivnow Tedciav TO cider, GAA’ eirep, ev 7G away, Meteor. 355%
28 & ye tw Tetaypévors xpdvois arodidwor Trav 7d Andbev. The
reference is therefore not to the enjoyment of the swmmum bonum in
moments of illumination but to its progressive attainment év Biw
teheiw (£. WV. 109818). Cf. MW. M. 1185? 4 ovd? (sc. éorar 1) eddau-
povia) ev xpovw ye aredel, GAN’ ev TeAclw.
It is doubtful whether ypovm is to be understood with rod. .
Twdt... dw Twi in |. g. If it is, the meaning will be ‘for it does
not possess the good in this particular time or in that, but it possesses
the swmmum bonum in a certain whole period’. If ypdvw is not to be
supplied, the meaning is ‘for it does not possess the good in this par-
ticular activity or in that, but it possesses the summum bonum in an
organized life of activity’.
9. dv adXo tt is Opposed to air) atts. It is because man’s
summum bonum is different from himself, because he is a ovv6eror,
including in him unrealized potentialities, that time is needed for their
realization. God, being pure activity, pure self-thought, enjoys com-
pletely in each moment and throughout eternity the bliss which man
can be said to enjoy only in a complete life.
10. Bz.’s ovrws 841s not improbably right. But for 8 after a com-
parative clause cf. T. 1003>5n. There is a certain degree of opposi-
tion between the principal and the subordinate clause which makes dé
not unnatural; cf. B. 999% 27 n.
How the good exists in the world (ch. 10),
1075*11. Is the good a separate element in the universe, or the per-
vading order? It is both, as in an army—though the general is the
good in a higher sense than the order, since it depends on him and
400 COMMENTARY
B. 999% 27 n.
How the good exists in the world (ch. 10),
1075*11. Is the good a separate element in the universe, or the per-
vading order? It is both, as in an army—though the general is the
good in a higher sense than the order, since it depends on him and
400 COMMENTARY
not vice versa. All things are ordered together for the common weal
though as in a household the higher members are less free than the
lower. All must, at least in their dissolution, contribute to the whole.
Difficulties in other views.
25. (1) All other thinkers make all things out of contraries. But
neither ‘all things’ nor ‘out of contraries’ is right. Further, con-
traries cannot act on one another. Our solution is that there is
a tertium quid, the substratum. But other thinkers make one of the
contraries matter (e.g. the unequal, the many). We refute this by
saying that the matter which is one for all things is contrary to nothing.
Further, on this view all things except the One will share in evil,
since evil is one of the two elements.
36. Others do not even make the good and the bad first principles.
Yet in all things the good is a principle. The former view rightly
makes it a principle, but does not say whether it is final, efficient, or
formal cause.
br. Empedocles has a strange view. He makes love the good,
but makes it both an efficient and a material cause. Even if the
same thing is both, their essence is not the same. In which capa-
city, then, is love a principle? It is strange also that he makes strife
(which = evil) imperishable.
8. Anaxagoras makes the good the efficient cause, for reason is the
source of movement ; but this implies an end other than reason (unless
the efficient and final cause are identified, as by us), Further, why
does he not assume a contrary to the good?
11. None of those who speak of contraries use them—unless we
recast their views. And no one tells us how, if all things have the
same causes, some things are perishable, some not. Further, some
make the things-that-are out of not-being ; others to avoid this make
all things one.
16. (2) No one states a proper efficient cause of generation. Those
who posit two principles need a third, supreme one; and those who
posit Ideas need a supreme principle. Why do particulars share in
Ideas?
20. Other thinkers are bound to assume a contrary to first philo-
sophy ; we need not, since we assume no contrary to its object, for all
contraries have matter and potentiality.
24. If there is xothzng but sensibles, there is no governing principle,
no order, no generation, no celestial movements, but, as in mytho-
Mer tO, 10759 LI—22 401
logy and in physics, we are referred from one principle always to
another.
24. If there is xothzng but sensibles, there is no governing principle,
no order, no generation, no celestial movements, but, as in mytho-
Mer tO, 10759 LI—22 401
logy and in physics, we are referred from one principle always to
another.
27. If on the other hand there are Ideas or numbers, (a) they
cause nothing or at least no motion. Further, (4) how can things
that are unextended produce what is extended? Number cannot
be either efficient or formal cause of a continuum. Further, (c) no
contrary can be the efficient cause, since all contraries are capable of
not being, and their activity is at least posterior to their potentiality,
so that things could not be eternal if contraries were their cause.
But there are eternal things. Therefore the premises must be revised
in the way we have stated.
(d) No one tells us what unifies a number, or soul and body, or
form and thing. The only true answer is, ‘the efficient cause’.
37. (¢) Those who put mathematical number first and make a
series of kinds of substance, each kind with distinct principles,
make the universe disjointed, with many governing principles. But
such it must not have.
1075* 11-15. The doctrine here stated is that goodness exists not
only immanently in the world but transcendently in God, and even
more fundamentally in Him, since He is the source of the good in
the world, which is produced by the desire for Him as the order
in an army is produced by its striving to do the will of its leader.
15. Sia thy tog... Sid tobTov. dua seems to mean not ‘for the
sake of’ but ‘by reason of’.
16-23. Bz. thinks that aAX’ domep (I. 19) answers to ddd’ oix
dpotws, and that cal odx otrws... cvvréraxtot is parenthetical, ex-
plaining mdvra ovvréraxrat mws. This leaves pev in 1. 18 without
anything answering to it, and in general seems highly unnatural.
It is more natural to make two sentences as Bekker does—(1) ravra
8€ owvréraxtar ... €or tT, (2) mpds pev yap ev... Pvors eoriv, |. 23.
The second sentence then Tepeats the first in greater detail; instead
of saying merely ddd’ odx Suotus Aristotle describes the difference by
using the instance of the household, dN’ (otrw ovvréraxrat) domep év
oikia KX,
19-22. The freemen in the house answer to the heavenly bodies,
which are bound by necessity, the slaves and animals to mankind
and indeed all sublunary creatures, which are much less divine (Z. JV.
1141%34) and whose actions are largely contingent. Aristotle, as
Grant observes (£7hzcs* i. 286), assumes freedom for man, ‘not so
much from a sense of the deep importance of morality, but rather
from an idea of the slightness of man and of his actions in com-
parison with nature, and with what he would call the “ diviner parts” of
the re :
‘ For the nature of each of them is such a principle’, i.e. it pro-
2578-2 Dd
402 : COMMENTARY
duces obedience to duty in the higher creatures, caprice in the
lower.
it pro-
2578-2 Dd
402 : COMMENTARY
duces obedience to duty in the higher creatures, caprice in the
lower.
23. déyw 8 ofoy els yer td Sraxprbjvor dvdykn Gmracw ede, ‘all
things, even if they make no other contribution ‘to the whole, must at
least come to be dissolved’, sc. so that better things may be made out
of their elements. Sap
25. Aristotle now begins a very brief discussion of some of the main
metaphysical doctrines opposed to his own.
26. xapteotépus, cf. K. 10607 25 n.
28. ote S€ 16 Tdvta ovTe Td ef evaytiwy dp0ds. (1) It is wrong to
say that all things come from contraries. There is an eternal sub-
stance which does not come from contraries nor from anything else
(10692 30, 1071» 4), (2) Even things that are generated are not
generated simply from contraries; there must be a substratum as well
(1069? 6).
30. dali yap Ta evoytia bw G&AAHAwv. Black cannot be affected by
white, but only that which zs black.
32. of 1d dyicov 7 iow refers to Platonists, cf. N. 10875, 1088 32,
10896, 1091 32. Aristotle’s point is that matter, the substratum of
contraries, should not be made one of the contraries.
33. 4 70 évi ta odd probably refers to Speusippus, cf. M. 1085
gn. bs n.
34. 4 yap Hy H pla, ‘the one matter which underlies any pair of
contraries ’,
35. To yap Kakdy atts Odtepovy Tay ororxeiwy, i.e. the unequal is
identified with the bad; cf. A. 988° 14.
37. Robin points out that in the other passages referring to this
doctrine of the Pythagoreans and of Speusippus (viz. 107232,
34, N. 1091* 31, 36) 76 Kaddv is mentioned several times, 76 Kkaxov
never; and he would read xaAdv. But 76 xaxoy is in place here in view
of the context (cf. 1. 35).
bg. kal ds Gn’ pdprov yap tod plypatos. That Empedocles thought
of strife and love as material no less than the other elements is clear
from such passages as fr. 17. 18-20, especially kat purdorys ev rotow,
ion pinkos Te TAdTos Te. In Empedocles’ time the notion of incorporeal
forces did not yet exist.
5. Ty etvar od tadrd, cf. Z. 1029% 22-23 n.
_ 6-7. For strife as the origin of evil for Empedocles cf. A. 985% 6.
Why does Aristotle regard the indestructibility of strife as a paradox?
Alexander thinks it is because in the odatpos all strife must have
disappeared. ‘This interpretation takes no account of rotro 8 éorly
avTd 4 Tov Kakod dios. It must be because of its badness that Aris-
totle thinks strife must be perishable. He is in fact using his
principle that év rots didiow obey éoti Kaxdv (. 10519 19, where see
the proof).
Q-I0. ddd seems to introduce an objection—Aristotle’s first objec-
tion to Anaxagoras (cf. drowov dé kai], 10), Anaxagoras exemplifies
the vagueness of early thinkers on the question whether the good is
A. 10, 1078% 23. 1075 19 403
10519 19, where see
the proof).
Q-I0. ddd seems to introduce an objection—Aristotle’s first objec-
tion to Anaxagoras (cf. drowov dé kai], 10), Anaxagoras exemplifies
the vagueness of early thinkers on the question whether the good is
A. 10, 1078% 23. 1075 19 403
a final, an efficient, or a formal cause (* 38). He introduces it as
an efficient cause, in the shape of reason. But since it must be for
some purpose that reason produces motion, there must be another good
which is a final cause. The objection is the same which is expressed
in A. 988? 6-16. The argument is made clearér by placing a full
stop after xvet in], 8. Aristotle thinks that he can himself dispense
with two distinct causes, an efficient and a final. The form of
health, as existing in the doctor’s mind, is the efficient cause of his
action; and as something to be realized in the body of another, it is
the final cause. Cf. Z. 1034224, A. 10707 14.
10-11. Aristotle complains that Anaxagoras, having recognized
reason, or good, as one principle, ought to have recognized evil as
another. Elsewhere Aristotle treats him as recognizing opposite prin-
ciples of good and evil (A. 988717, cf. 98930, ' 16). His point
must be that Anaxagoras does not explicitly describe the chaos as the
opposite of reason or of the good, though implicitly treating it as such
(989 19). But in reality, according to Aristotle, evil cannot be a
first principle (év rots é€ dpyqs ovOev éoru kaxdv, ®. 1051* 19).
12. 08 xp@ytav tots evavtiows. The same objection is made in A. 985°
17-23 with special reference to Anaxagoras and Empedocles.
édv pi pulpton tis, cf. what Aristotle says of Empedocles in A.
985% 4 and of Anaxagoras in 989? 30.
13-14. Cf. the discussion in B. 1oo0*%s5- 21, Aristotle himself
escapes the difficulty by making the things which are eternal (1) con-
tain no matter at all, or (2) contain a matter different from that of the
four elements, viz. the réurrov cpa, which makes them capable of
moving in space but not of being destroyed.
14. ot pev, Hesiod and the other cosmologists, cf. 1072%19. Aris-
totle regards the generation of what is from what is not as obviously
wrong, and needing no argument to show that it is so.
15. ot 8, the Eleatics, cf. A. 98610. Their view also is self-con-
demned, in that it abolishes difference and change.
16—10762 4. The general trend of these remarks is, as Bz. points
out, to show that Aristotle’s predecessors give no satisfactory account
of the cause of generation and motion. Cf. ll. 16, 28, 30, 37. But
parts of the passage have no bearing on this question, but form a
general attack on Aristotle’s predecessors and especially the Platonists
—l]. 20-24, 28-30, 37—1076? 4.
16-17. For Aristotle’s own explanation of the eternity of becoming
ef. 10724 10-18, De Gen. ef Corr. ii. 10.
But
parts of the passage have no bearing on this question, but form a
general attack on Aristotle’s predecessors and especially the Platonists
—l]. 20-24, 28-30, 37—1076? 4.
16-17. For Aristotle’s own explanation of the eternity of becoming
ef. 10724 10-18, De Gen. ef Corr. ii. 10.
17. Tots 800 dpxas morodow refers to all Aristotle’s predecessors (@ 28,
N. 1087 29) or to nearly all (1. 100430). The contrary principles
are, in general, form and matter, and an efficient cause is needed to
unite them (1070) 22), i.e. a first mover.
19. Bz.’s ér for éru derives some confirmation from Them. 38. 12,
and is fairly certainly right. Christ’s suggestion, however, that dru...
Kuptwrépa is a gloss on du. ri yap pereoxev 7) pmeréxer; has something to
be said for it.
Dd2
404 COMMENTARY
Sud Ti yap peréoxev petéxer; sc. 7a Kal? exaora Tov ciddv.
20-24. This curious and difficult passage seems to be an allusion to
Plato’s recognition (Rep. 477-478) of ignorance as a state of mind op-
posed to knowledge and related to not-being as knowledge is to being.
‘Other thinkers, since they recognize only two, and these contrary,
principles, must recognize an ignorance related to one of them (non-
being or matter) as knowledge is to the other (being or form). But
we need not. For we make the highest knowledge refer to a first
principle which stands above the contraries and itself has*no con-
trary ; for contraries contain matter, and things containing matter exist
only potentially. The ignorance which is opposed to any knowledge
leads to an object opposed to the object of the knowledge; but our
first principle has no opposite, and therefore for us the highest know-
ledge has no opposite ignorance.’ 7
22. 7a évavtia here means ‘things possessing contrary attributes’,
while in ® 30 it means the contrary attributes themselves.
23. kal Suvdue: Taira €or. Tadra seems better than raird. Con-
traries are not potentially the same (though the same thing is potentially
possessed of contrary qualities); nor, if they were, would it be in point
to say sohere. radra is probably subject and = ra vAyv éyovra. Bz,
(reading ratra éorw and treating ratdra as predicate) takes the words
to mean that each contrary is potentially its contrary; guod album esi
actu, idem nigrum est potentia et vice versa. It is difficult to see how
this can be got out of the Greek.
eis 73 evavtiov. One might conjecture éoziv (or éorar) evaytiov (or
Tov évavriov). But the text is confirmed by /. /. 1224% 33 ézel kal 7
drdrn ovk cis TA TUXOVTA yiverat, GAN cis TA evavTia dools eotiv évayTia,
though that is made easier by yiverau. is means not ‘is relative to’,
which would be zpds, but something like ‘leads the mind to’, The
passage does not seem to have any connexion with the distinction
between dmdry and édyvoiw in @. 1051” 25, to which Baz. refers.
is means not ‘is relative to’,
which would be zpds, but something like ‘leads the mind to’, The
passage does not seem to have any connexion with the distinction
between dmdry and édyvoiw in @. 1051” 25, to which Baz. refers.
24. €l Te wh Eotor Tapa Ta aicOyTd GAAa, obK EoTar Gpxy Kal TALS
kat yeveots Kal Ta oUpdvia. If there is nothing besides sensible things,
then (1) there is no first principle ; for sensible things exist potentially
(i.e. include an element of contingency), and if we admit nothing
which exists actually we are driven back from one potentiality to
another ad znfinitum. (2) There will be no order; for this involves
something eternal and separate from matter (K. 1060 26). (3) There
will be no generation; for this has been shown to depend on the
motion of the heavenly bodies, and ultimately on the prime mover
(10728 ro-18). (4) There will be no celestial movements ; for they
depend on a prime mover.
For the consequences of denying the existence of non-sensible,
eternal substance cf. B. 999 5, K. 10607 26.
26. 14 otpdvia means the celestial movements, not the celestial
bodies, for it is the former that involve a prime mover. For this use
of ra otpavia cf, Xen, Mem. i. 1. 11, Pl. Crz#. 107d.
tots Beodsyors, the cosmologists, cf. B. 10008 9.
A, 10. 1075 20 — 10768 4 405
28. oUt is sufficiently confirmed by Cas. 6%2, Phys. 25822, De
Caelo 241%18, De Sensu 439732, Pol. 1282%11. In Z. 10357 30,
Phys. 254% 26 (cf. Pol. 1308 15, 13204 16) the manuscripts are divided
between ours and ovrou.
é§ dpeyeQ@v. e& does not refer, as might be supposed, to material
causation; Aristotle’s point is that numbers cannot be either the
efficient or the formal cause of extended magnitudes (1. 30).
30-34. ‘ But none of the contraries is essentially also a principle of
production and of motion; for a contrary is capable of not being,
and at any rate its period of action must come after a period of merely
potential action. Hence it cannot have been making things from all
eternity. Hence ra dvra are not eternal.
But there ave eternal dvra.
Hence we must give up one of our assumptions,’ viz. the assumption
that contraries and nothing else are the principles of things. There
must be a first principle which is substance, actual, and eternal.
33. GAN Ect must apparently mean not ‘the things that are are
eternal’, which Aristotle is not likely to have said, but ‘there are
things that are eternal’, e.g. the prime mover and the heavenly bodies
whose eternity has been proved in ch. 7.
34. Todto & elpytat mas, sc. in 1071? 19, 20.
34-37. On this question cf. H. 6, especially 1045230. Form and
matter, as Aristotle there points out, belong together and require only
an efficient cause to unite them.
37. ot Se Aeyovtes kTA. The reference is to Speusippus, who is men-
tioned by name in Z. 102821. For the doctrine cf. N. 1090? 13.
On this question cf. H. 6, especially 1045230. Form and
matter, as Aristotle there points out, belong together and require only
an efficient cause to unite them.
37. ot Se Aeyovtes kTA. The reference is to Speusippus, who is men-
tioned by name in Z. 102821. For the doctrine cf. N. 1090? 13.
10761. émevoodisdy. Cf, the definition in Poet, 145134 Aeyw &
ererooiwon podov ev wT ereicddia pet GAANAG OUT’ cikds OUT avayKN
ewat. ‘The word is used again of Speusippus’ theory in N. 1ogo? 19.
g. The word modtteveoQar and the quotation from Homer show that
dapyy is used with reference to its meaning of ‘rule’ as well as to its
ordinary Aristotelian sense of ‘ originative source’. For a similar play
on the meaning of dpyy cf. An. Pos/. 1007 13.
4. odx dyaOdv kth. Hom. //. ii. 204. Susemihl would omit éc7o,
which is lacking in most of the manuscripts. But it is required by the
rhythm of the sentence, and it would be particularly easy for the last
word of a book to drop out in the archetype.
Aristotle is not a thoroughgoing monist. He is a monist in the
sense that he believes in one supreme ruling principle, God or the
primum movens. But God is not for him all-inclusive. (1) The
sensible world is thought of as having a matter not made by God,
though the whole history of the sensible world is caused by the desire
to approximate to the divine life. (2) There are subordinate spiritual
beings (1073% 37, 1074215) which move the heavenly spheres without
being moved (i.e. move them ds dpexra), and whose relation to God
is never indicated by Aristotle. Cf. Introduction, pp. cxxxvi-cxli.
406 COMMENTARY
BOOK M
Much light has been thrown on the date of Bks. M and N
relatively to one another and to the rest. of the MJefaphysics, by
Jaeger’s researches in his Arzsto/eles, pp. 181-199, 212-215. BookM,
with its clear distinction between the doctrines of Plato, Speusippus,
and Xenocrates, belongs to a later period than the criticism of the
ideal theory in Book A. The original ideal theory is now for Aristotle
somewhat out of date, and he is content to reproduce in chs. 4, 5 what
he has said about it in A. 9; his efforts are now turned towards the
discussion of mathematical and ideal numbers and magnitudes. The
discussion is completed by 10862 15, and he ends, as he does occa-
sionally elsewhere (Jaeger refers to the end of A and of £. J. ix), with
a literary quotation (1086417). The final sentence (ib. 18-21) is
difficult to construe, and perhaps its last words are missing, as might
easily happen at the end of a book. Syrianus tells us that some
manuscripts made M end at this point.
J. ix), with
a literary quotation (1086417). The final sentence (ib. 18-21) is
difficult to construe, and perhaps its last words are missing, as might
easily happen at the end of a book. Syrianus tells us that some
manuscripts made M end at this point.
In M. 1086 21-32 we have a preface which Jaeger (187-189) has
shown to be a doublet of that at the beginning of M (1076* 8-32).
The latter is much the more elaborate. It mentions, besides Ideas
and numbers, the spatial magnitudes (I. 18); it distinguishes the views
of Plato, Speusippus, and Xenocrates (ll. 19-22). It treats the dis-
cussion of the original ideal theory as a minor matter, sufficiently
discussed in the ééwrepuxot Adyou (Il. 26-29).
In trying to find a date for the section M. 10864 21-end, Jaeger
concentrates on 1086? 16-19. It is not clear that he is right in
supposing that when Aristotle says BovAdwefa he must mean, as in
A. 990” 9, 11, 16, 18, 23, 991» 7, B. 997? 3, 1002» 14, ‘we Platonists ’.
But it is at any rate possible to interpret the passage as an argumenium
ad hominem directed against Platonists from a Platonic standpoint.
What is more convincing is that, while in 1086% 21-24 Aristotle
says of the views of the materialists merely that they have been
discussed in the P&ysics, and are inappropriate to the present dis-
cussion, in 1076 8-10 he says that the matter of sensible things has
been discussed in the Physics, and their actuality (or form) has been
discussed Jater. I.e., M. zuz/—1086* 18 presupposes, while M.
1086* 21—/in. does not, the discussions of ZH®. The one version
presupposes only AB; the other belongs to the time when Aristotle
had worked the greater part of the JJefaphysics more or less into
a single whole. (Jaeger, 212-215.)
RST 1076" 9 407
Jaeger concludes that M. 1086* 21—end belongs to the same early
period as AB, i.e. to Aristotle’s stay at Assos in 348-345 B.c. It is only
natural, then, that this brief section contains more references to AB
than the whole of Z—A (1086 34, » 2, 15).
(Jaeger, 212-215.)
RST 1076" 9 407
Jaeger concludes that M. 1086* 21—end belongs to the same early
period as AB, i.e. to Aristotle’s stay at Assos in 348-345 B.c. It is only
natural, then, that this brief section contains more references to AB
than the whole of Z—A (1086 34, » 2, 15).
But in N. 1091*32, otov BovddcucOa A€yew abtd Td dyabdv Kal 7d
apiorov, Aristotle certainly treats himself as a Platonist. N, then, also
belongs to the Assos period; and, since Xenocrates was Aristotle’s
companion at Assos, it is only natural that, while M criticizes him
frequently and sharply (e.g. 1083) 2 xe(purra A€yerau 5 tplros tpdros),
N criticizes him only in passing (1088> 28-35, r1ogo? 20-32),
Further, the preface in M. 9 undertakes to examine the views of those
who hold that the elements (1) of Ideas or (2) of mathematical
numbers are the elements of all things. The theory of Ideas is treated
of in M. 1086 32—end. N begins with a reference to the wide-spread
doctrine that the elements of all things are contraries, but soon
(1087> 4) settles down to discuss the view that unity and plurality or
the equal and the unequal are the elements at once of mathematical
number and of all things; and to this theory (that of Speusippus,
already mentioned in the preface, M. 1086 29) and the kindred theory
of the Pythagoreans, the rest of N is for the most part devoted.
M. 1068# 21—N. end thus forms a whole, and a whole earlier than M
beginning—1086? 18.
Two supposed kinds of immaterial substance to be discussed—
mathematical objects and Ideas (ch, 1. 1076% 8-32).
107628. We have discussed elsewhere the substance of sensible
things; we have now to consider whether there is apart from these an
unchangeable eternal substance. First we must sift the opinions of
others on the question.
16, Some hold that mathematical objects are substances; others
hold that the Ideas are. Some believe in both, some identify them,
some believe only in the mathematical objects.
22. We will discuss (I) mathematical objects, asking no further
questions about them but simply whether they exist, and if so, how;
(II) the Ideas (briefly); (III) and chiefly, whether the substances and
principles of things are numbers and Ideas.
107629. év pev TH pebd8m... Ans no doubt refers to Phys. i.
dotepoy is referred by Alexander to PAys. ii, and by Bz. to the latter
part of the PAysics. But neither of these can be described strictly
as discussing ‘substance according to actuality’, i.e. form. The posi-
tion of pev.and d¢ shows that vorepov dé does not refer to the Physics,
408 COMMENTARY
and the part of Aristotle’s works which best answers to the description
is Me. ZH®. Bz.’s interpretation is partly actuated by the wish to
show that MN do not presuppose the central part of the Mef/aphyszcs.
Cf. Introduction, pp. xviii f.
ZH®. Bz.’s interpretation is partly actuated by the wish to
show that MN do not presuppose the central part of the Mef/aphyszcs.
Cf. Introduction, pp. xviii f.
12, mp@tov, Alexander’s notion that zparov means ‘with special
care’ cannot be accepted. ap@rov must-refer to time. A positive
statement of Aristotle’s-doctrine of ‘unchangeable and eternal sub-
stance’ was meant to follow. But this cannot be identified with A,
which seems to be an earlier and separate work.
15. tot... Sucxepaivwpev. The order of the words is curious,
the object being to throw into prominence the opposition between
kowov and idia. ‘And that if some doctrine is common to us and
them, we may not on that account be privately dissatisfied with our-
selves’ For the expression cf. A. 984% 29.
1g. ot pév, sc. Plato and his most orthodox followers, cf. A. 987? 14-
18.
20-21. ot S€... €repor S€ tives. Alexander ascribes to Xenocrates
(745. 32) and also to Speusippus (782. 32) the belief in mathematical
number only ; in 766.8 he ascribes to both Speusippus and Xenocrates
the identification of ideal and mathematical number, and to some of
the Pythagoreans the belief in mathematical number only. We may
safely infer that he knew little or nothing about the matter. A com-
parison of Z. 1028 21-24, where Speusippus is mentioned by name,
with A. 1075” 37—1076%3 and N. rogo» 13-20 makes it evident that
it was Speusippus who rejected the Ideas and believed in mathematical
number only. Asc. (379. 17) thinks it was Xenocrates who identified
ideal number with mathematical, and this is strongly confirmed by the
reference in 1080) 29 (where see note) to the well-known Xenocratean
doctrine of indivisible lines. oi 8€, then, means Xenocrates, érepou dé
twes the Pythagoreans and Speusippus, Cf. Introduction, pp. Ixxi-
Ixxvi. Aristotle omits the fourth possible view, ascribed to dAXos tis
in ro8oP 21, the view that ideal number exists but not mathematical.
22. ™p@Tov pév, chs. 2, 3.
26. émeita, chs. 4, 5.
27. amdds, ‘simply, without elaboration’. Cf. Pol. 1341> 38 i 8
Aéeyopev THv Kéilapow, viv pev ards, tadkw F ev Tois rept zownTiKAs
€podpev capecrepov.
écov vopwou xdpiv, ‘as far as the accepted manner of treatment re-
quires ’"—and it requires some discussion of all views held by thinkers
of repute. Cf. betas evexa, dicts causa, Diphilus Zuypago. fr. 2. 13
ovdev 7p0€ws Trovel yap otros GAN’ dcov vopou (Xépiy, and Pol. 1341» 31 vov
d€ vopukds SueAwpev, TOYS TUTrOUS LOVOY EiTOVTES TEPL AUTOV.
28, tv é&wtepikay Adyov. The meaning of this phrase has been
repeatedly discussed; the following discussions in particular may be
mentioned: Bernays, Dialoge des Aristoteles, 29-93; Zeller, Phil. der
Griechen, Il. 2. (ed. 4) 112-126; Grant, Lthics of Arist. i, App. B;
Grote, Aris/olle; ed. 3, 44-53 ; Diels in Sttzungsb. der Berl, Akad. 1883.
477-494; Susemihl in Meue Jahrb. fiir Philol. 1884. 265-277;
M. I. 10767 12-28 409
der
Griechen, Il. 2. (ed. 4) 112-126; Grant, Lthics of Arist. i, App. B;
Grote, Aris/olle; ed. 3, 44-53 ; Diels in Sttzungsb. der Berl, Akad. 1883.
477-494; Susemihl in Meue Jahrb. fiir Philol. 1884. 265-277;
M. I. 10767 12-28 409
Susemihl and Hicks, Politics of Arist. 561-565. The other references
to the éfwrepuxol Aoyou in the Aristotelian Corpus are as follows :
LYS: 2x7? 3° mpOtov O& KadGs exer Suarophoat wept avrod (i.e.
xpovov) Kal dua Tay eEwrepiKOv Aoyov.
E. NV. 1102 26 Aéyerou de wep aris (i, @ yoxiis) kal ev TOUS egurept-
Kos Adyous d dpxovvTws evi, Kat xXpynoreov avrots’ otoy TO pev aoyov avTHS
elvat, TO O€ Adyov exov.
EN. 11.40% 2 €repov 0 eat Toinos Kal Tpagis (miaTEvomev O€ mepl
avrOv Kal. Tots elurepixois Aédyots).
L, £1217» 20 76 eivan ideay pu povov dyaGod GdXA. Kal dddov 6 drovodv
Aeyerau AoyiKds Kal KevOs' emréoxerrar O€ TOAAOIS Tept adrod TpdTats Kal
ev Tois e€wrepikors Adyous Kal ev Tols Kata pirocodiay.
LY. E. 1218 32 rdvra dh téayaGa 7 exrds } ev Woyy, Kal TovTwv atpe-
TWTEPA TA ev TH Woy, Kabdrrep SiarpovpeOa Kal ev ToIs eEwrepiKots Ad-yots.
Pol. 1278» 30 adda. py Kal THs dpyis ye TOs Aeyouevous Tpdrous padiov
dieAciv’ Kal yap ev Tois eEwrepixois Adyous OvopiLouca epi adtOv ToAAGKIS.
Pol, 1323? 21 vouicavras odv ikavOs roAAd A€yeoOar Kal TOV ev TOIS
eEwrepixois Adyous wept THs dpiorys Cwfjs, kal viv xpyoréov avrois.
With these references may be compared the following, in which
similar phrases are used: De Caelo 249% 30 év rots éyxu«Alos pidoco-
gypact, L. NV. 1096* 3 ey rots éyxucAlous, De An. 407” 29 rots ev Kowo
yvomevors Novos.
With these references may be compared the following, in which
similar phrases are used: De Caelo 249% 30 év rots éyxu«Alos pidoco-
gypact, L. NV. 1096* 3 ey rots éyxucAlous, De An. 407” 29 rots ev Kowo
yvomevors Novos.
Bernays tries to show that in all these passages except the first the
reference is to Aristotle’s dialogues, which were ‘ exoteric’, i.e. were
published in a fuller sense than the works in which the references occur.
In other words Bernays accepts the distinction, which had certainly
become current by the time of Cicero, between the exoteric and the
acroamatic works of Aristotle. It may be admitted that all the subjects
in question were probably treated of in Aristotle’s dialogues, or in other
lost works of his which were published in the full sense. Thus (to take
the present passage and the first passage from the Hudemian Ethics)
it is certain that Aristotle criticized the Ideas in the dialogue De Philo-
sophia and in the works De Jdets and De Bono; he may also have
dealt with them, as Bernays suggests, in the dialogues De Justitia,
Sophistes, and Politicus, But the meaning of Aéyou in the Physics
passage, as the preposition S:¢ shows, is not ‘books’ but ‘arguments’,
and w7o in the present passage suggests the same, in view of the frequent
tendency in Greek to treat ‘the argument’ as if it were a person, as
in Aikowos Adyos and "Adiucos Adyos, 6 Adyos aipée, and many other
examples quoted by Diels. By a comparison of Pol. 1323% 21-35
with Z. VV. 1098» 9-18 (dealing with the same subject) Diels shows
beyond a doubt that by ra ey rots eCwrepiKois doyors IN 13234 22
Aristotle means the same as he does by ra Aeydpeva in 1098? 10,
i.e. that in that passage at least é€. A\dyo. means ‘ discussions not pecu-
liar to the Peripatetic school’. This is probably its meaning in the
other passages also. ‘The precise shade of meaning may differ in the
different passages ; in some the reference is to Academic doctrines, in
others to discussions or distinctions which were familiar to cultivated
410 COMMENTARY
Athenians of no particular philosophical school. In the present pas-
sage the reference probably is to attacks on the Ideas by Antisthenes
and by sophists like Polyxenus, the inventor of the ‘third man’ argu-
ment against the Ideas (cf. A. 990 17n.). Diels’s conclusions do not
seem to have been refuted by Jaeger’s argument in Ar/stofeles, 254-
270. Jaeger thinks the present reference isto the De Philosophia.
29-32. €r B€ .. . oxéfis. A further reason for brevity in the
second part of the treatise, the discussion of the Ideas simplictter. The
third and main part of the treatise (rév wAefw Adyov) must finish by
throwing light on the second problem (xpos éxe(vny Set riv oKépuy
amavtav), So that the second discussion need not itself be elaborate.
30. dray émickoT@pev, chs. 6-9.
I. Maruematicat Opjects (ch. 1. 10762 32—3. 1078) 6).
The
third and main part of the treatise (rév wAefw Adyov) must finish by
throwing light on the second problem (xpos éxe(vny Set riv oKépuy
amavtav), So that the second discussion need not itself be elaborate.
30. dray émickoT@pev, chs. 6-9.
I. Maruematicat Opjects (ch. 1. 10762 32—3. 1078) 6).
1076? 32. If they exist, they must exist either (A) in sensible things,
in the way maintained by certain thinkers, or (B) separate from sensible
things, or (C) in some other way.
Mathematical objects cannot exist as distinct substances (ch. 2).
10762 38. (A) We have shown (cf. B. 998% 7-19) that mathematical
objects cannot be 2% sensible things; (1) because two solids cannot be
in the same place, (2) because it would follow that the other powers
and characteristics of things must also be immanent.
b4. We now add (3) that on this theory no body can be divided.
For it would have to be divided at a plane, the plane at a line,
the line at a point, so that since the point is on this view in-
divisible, the body is so too; and if mathematical body, then also the
sensible body in which it is.
11. (B) Nor can mathematical objects exist apart from sensible
things. For (1) if there are separate mathematical solids, there will be
(@) separate planes, lines, and points,
16. and therefore also besides (4) the planes, lines, and points of
the mathematical solid there must be (c) planes, lines, and points prior
to (while the former are simultaneous with) the mathematical solid.
24. Again there will be (d) lines and points prior to the lines in
these planes, and (¢) points prior to those in these prior lines,
28. The accumulation is ridiculous; there is one set of solids apart
from the sensibles, three sets of planes, four of lines, five of points.
Which will be the objects of the mathematical sciences ?
36. (2) The same argument can be applied to numbers. There
Meera O70r20 —. 1076" 33 41
wil be units apart from the points, units apart from the objects of sense,
units apart from the objects of knowledge.
39. (3) The objects of astronomy will exist apart from sensible
things, as much as geometrical objects; but how can there be moving
objects such as the heavens apart from sensible things?
1077* 4. There will be objects of optics and of harmonics—voice,
senses, sensibles, animals, all separate from the ordinary objects of
sense. ;
g. (4) There will be separate objects, which are neither numbers,
points, spaces, nor times, for the universal mathematics which is true
of all of these alike.
14. (5) The belief violates common sense. It makes mathematical
objects prior to sensible things, but really they are posterior in sub-
stance, being incomplete.
20. (6) What gives them unity? Things in ¢4zs world are made
one by soul, by a portion of soul, or the like, but what gives unity to
these divisible quanta?
It makes mathematical
objects prior to sensible things, but really they are posterior in sub-
stance, being incomplete.
20. (6) What gives them unity? Things in ¢4zs world are made
one by soul, by a portion of soul, or the like, but what gives unity to
these divisible quanta?
24. (7) Length is generated first, then breadth, then depth, so that
if that which is posterior in becoming is prior in substance, body is
prior to the plane or line; and it is more complete because it is what
becomes the vehicle of soul.
gi. (8) Body is a substance, but lines cannot be substances,
either as form, or as matter (how could a thing be composed of
lines ?). :
g6. They may be prior in definition to body, but they are not
therefore prior in substance. That is prior in substance which excels
in power of separate existence ; that is prior in definition whose defini-
tion is implied in the definition of something else.
b4. If attributes cannot exist apart from substances, they are prior
in definition to the complex of substance + attribute, but not in sub-
stance ; thus the product of abstraction is not prior nor that of addition
posterior.
12. Mathematical objects, then, are not more substantial than
bodies, nor prior to them in being (but only in definition), nor
separately existent; and since they could not be zz sensible objects
either (1076 38-» 11), they exist either not at all or in some qualified
sense.
1076? 33. # év Tots aioOntois etvar adtdé. This doctrine is said (1. 39)
to have been discussed év rots dvaropyuacw, i.e. in Bk. B, and the
reference is clearly to 998%7-19. The view in question is there
described in a way which marks it off clearly from the ordinary
412 COMMENTARY
Pythagorean view (for which see A. 987 27-29), and is attacked both
there (998# 11-13) and here (» 1-3) by arguments which have force
only against believers in separate Ideas of some kind. Further, in
10802 37—» 3 the regular Pythagorean view is. distinguished from
another form of belief in numbers immanent in things (sc. the view
referred to here), We may infer that Aristotle is speaking here either
of Platonizing Pythagoreans (as Robin infers) or of Pythagoreanizing
Platonists. For evidence of a Platonizing school of Pythagoreans cf.
Robin, 649-651. Syrianus (84. 21) says that no Pythagoreans or
Platonists held this view; but this is part of his general policy of
defence of Platonism against Aristotle.
39. elpynror pev, B. 998% 11-15, 997% 12-34.
by, It is rather surprising that these thinkers recognized mathema-
tical solids as distinct from sensible solids. Planes, lines, and points
might naturally be distinguished from sensible things, since all sensible
things have three dimensions; but what difference could there be be-
tween mathematical and sensible sods? The answer no doubt is that
by mathematical solids were meant the regular solids to which sensible
objects never do more than approximate.
The answer no doubt is that
by mathematical solids were meant the regular solids to which sensible
objects never do more than approximate.
2. Tas dAas Suvdpers Kal pdcers, Alexander (725. 21) thinks the
limits of sensible bodies, i. e. planes and lines, or else the characteristics
studied by applied sciences like optics and harmonics, are meant.
The meaning is fixed, however, by the corresponding passage in
B. 998% 11-13. The dvvapes and dices are, quite generally, the
characteristics of things, which these thinkers treated as separate
Forms when consistency required that they, like ra poa@npuarixa,
should be viewed as immanent in things.
4-11. Aristotle argues as follows: ‘If these mathematical solids are
divisible, they are divisible along or at (karé) planes, and similarly the
planes are divisible along lines, and the lines at points. But points
are indivisible; so therefore are the lines, planes, and solids. But if
the mathematical solids are indivisible, so must the sensible solids
be.: Which is absurd.’ He treats the divisibility of the line at a point
as implying the division of the point, and one might be disposed to
question this. But the one does imply the other, according to the
principles of the view he is criticizing, for (1) these thinkers cannot
say, aS he would, that the point is brought into actual existence
by the act of division; it is a substance, always existing actually ;
and (2) they cannot say that the division comes de/ween two consecutive
points, since (so Alexander says, and we may suppose that he is right)
they, like Aristotle, held the line to be continuous and so to have no
consecutive points.
1I—1077? 14. Aristotle now proceeds to the second alternative, stated
in ® 34, that mathematical objects exist apart from sensibles (the view
of Plato and of Speusippus). If there are mathematical solids apart
from and logically prior to the sensible solids, there will be
(1) (Il. 14-16) planes, lines, and points apart from sensible planes,
lines, and points.
M. 2. 10768 39 — 10778 20 413
(2) (Il. 16-24) planes, lines, and points in the mathematical solids.
(3) 4s planes, lines, and points apart from those numbered
2).
(4) (il. 24-27) lines and points prior to the lines in the planes
numbered (3).
(5) (ll. 27, 28) points prior to those in the lines numbered (4).
The lines in the planes numbered (3), though introduced by raw
(1. 24) are not meant to be a new class not mentioned before ; else we
should get five classes of lines instead of (as Aristotle says, 1. 32) four.
They are identified with the lines numbered (3), and are mentioned
anew in ]. 25 only as leading up to the further class of lines and points
numbered (4).
24) are not meant to be a new class not mentioned before ; else we
should get five classes of lines instead of (as Aristotle says, 1. 32) four.
They are identified with the lines numbered (3), and are mentioned
anew in ]. 25 only as leading up to the further class of lines and points
numbered (4).
The enumeration is careless and by no means complete. Aristotle
might have argued that if there are two sets of solids (sensible and
mathematical), there will be two sets of planes in these solids and two
sets abstracted from them; four sets of lines in these planes and four
sets abstracted from them ; eight sets of points in these lines and eight
abstracted from them.
The enumeration betrays its incompleteness by lack of symmetry.
If we take the sets of mathematical objects which he mentions we
get the series:—one set of solids, three of planes, four of lines, five
of points; and if we add in the sensibles we get the series 2, 4, 5, 6.
Neither series is symmetrical. The fact is that Aristotle begins cor-
rectly the geometrical series 2, 4, 8, 16, but tires of the capevors and
turnstheseries intoan arithmetical one. The capevors is éroros enough,
even as stated by him. The error which lies at its base is the ywp-
opos Of, or assigning of separate existence to, what is only distinguish-
able by thought.
QI. akwhytos = pabyparcKors.
38. For ra dvra aicOnra of the manuscripts it seems necessary to
read Ta Ova, Ta aicOynTd.
39. ev Tots dwophpacw, B. 997) 12-34.
1077 2. Bz.’s éorat is confirmed by |. 5 and B. 997? 16.
3. otpavey, sc. rapa Tov aicOyrov ovpavor, cf. B. 997° 16.
6. 7a kal €xaota, cf. B. 999% 26n,
Q. ypdperar, Alexander explains, means detkvutar. Cf. Top. 158” 30
od padiws ypadeo Oar and the use of didéypaypa = proposition in Cas. 14°
39, B. 998% 25, A. ro14236. In all these cases it would seem that
a proof aided by a figure is meant. The general mathematics here
referred to, which proves attributes that are not peculiar to numbers
or to spatial magnitudes or to times, is also mentioned in 1077) 14,
E. 1026827, An. Post, 74223. Eudoxus’ doctrine of proportion,
which is preserved in Euclid’s Lvemen/s, Bk. V, is the best instance of
this ‘ general mathematics’ (cf. 74 23).
20-24. et... . cuppever is a digression from the main point. The
question what causes the unity of mathematical magnitudes is inserted
between two arguments from genesis, (1) the argument that sensible
magnitudes must be prior in essence to mathematical because they
414 COMMENTARY
are later in generation (Il. 18-20), and (2) the argument that solids
must be prior in essence to planes and lines because they are later in
generation (Il. 24-28).
20. Bz.’s ri Kat mor’, ‘by virtue of what in the world’ is attractive,
but though ris wore is common ris cai wore does not seem to be
recorded | as occurring in this sense, and itis better to keep Bekker’s
reading tive KOL ToT, -
24-28).
20. Bz.’s ri Kat mor’, ‘by virtue of what in the world’ is attractive,
but though ris wore is common ris cai wore does not seem to be
recorded | as occurring in this sense, and itis better to keep Bekker’s
reading tive KOL ToT, -
22, wépet uxis, e.2., Says aden? in the case of animals which
have only the sense of touch and therefore only a part of the soul.
eUNoyov (sc. éorw ev etva) is Jaeger’s probable. emendation of
cidoyo.
We should perhaps read ddAw tii, edAdyws. For etddyws added
thus at the end of a sentence cf. Bz. Index 297% 22-27, Alexander
illustrates dAAw tit edAdyw by the case of things glued or tied to-
gether.
24-30. Bz. points out that there is a serious ambiguity in Aristotle’s
use of yéveous in this argument. yéveous in the sense in which 76
yevéret vorepor is oaia mpdrepor is natural genesis, e.g. the growth of
the boy into the man. But yéveous in the sense in which it can be applied
to mathematical objects refers to the quite different process by which
the line is generated by a moving point, the plane by a moving line,
the solid by a moving plane. The ambiguity deprives the argument
of whatever value it might otherwise have possessed.
24-26. mpdtov ... éoxev evidently refers to Speusippus fr. 4. 44-47
(Lang).
27. An ambiguity is to be noticed in the meaning of ri odcta
mpétepov in this chapter. In this line it is used of that which is Jater
in generation, and means in effect what is réAcov (I. 28), and in |. 19
TH ovoia v Dorrepov has the corresponding meaning. So too in Phys.
260» 18, 19 ee Kat ovoiav; in @. 1050°5 7O elda Kal ™m otota.
mpotepa; in G. A. 742422, Rhed. gaa 21 TpoTepov TH ovoia; in
Cat. 1425, Phys. 26114, 2652 22, A. 989% 16 rn pioer mporepov.
But in 1077” 2 7a 7H ovoia mpdrepa are defined as dca ywpilopeva TO
elvat trepBadde; 1. e. Of two things that is prior which can exist with-
out the other while the other cannot exist without z/ Cf. A. ror9* 2,
where 7a Kata iow Kal ovolay (zpdrepa Kal vorepa) are similarly
defined. This is said to be the primary sense of zporepov kal vorepov
(1019? 11), and so too in @. 1050? 6, actuality having already (# 4-? 6)
been shown to be prior ovcia to potentiality in the first sense described
above, Aristotle proceeds to say that it is kal xvpuwrépws (mpdrepov
ovcia), and explains this in the secondsense. This is again one of the
senses assigned to mpdrepov in Caz. 12, where it is described as 76 pip
dvtiatpépov Kata THY TOD ctvar GkoAovOnow (14% 30). Once more it is
referred to in Phys. 260418, where it is distinguished from 76 Kar’
ovoiav mporepov.
The two senses of kar’ otciay (or pvcer) tpdtepov answer to two of
the meanings of otaéa which are so often distinguished by Aristotle.
The first sense answers to that sense of ota/a in which it means form,
M. 2, 10772 20— 107715 415
The two senses of kar’ otciay (or pvcer) tpdtepov answer to two of
the meanings of otaéa which are so often distinguished by Aristotle.
The first sense answers to that sense of ota/a in which it means form,
M. 2, 10772 20— 107715 415
or to the rdde zu considered as a fully formed or developed thing ; the
second to that in which it means 70 troxeiwevoy or the rdde te Con-
sidered as something capable of separate existence.
BI. 78 yap exer mws Td Tedevoy, cf. De Caclo 2682 7-24. ws, says
Alexander, because gwa mere mathematical solid it lacks the qualities
by which 7a duoixa eidororetrar (732. 5):
b 3. Sowy ot Adyor ek TOv Adyov is difficult. The natural translation
would be ‘those things are prior in definition whose definitions are com-
pounded out of the definitions of the other things ’, but this is the exact
opposite of Aristotle’s doctrine (cf. A. 1018? 34, Z. 1035» 4). We might
interpret dcwy as depending on Adywy, not on Adyou, and translate
‘of whose definitions the definitions of the other things are com-
pounded’, but it seems more likely that the transition from doa to
dour leads Aristotle to substitute in thought an antecedent rovrwy for
the antecedent raira. ‘Those things are prior in substance which
when separated from other things surpass them in power of indepen-
dent existence, and things are prior in definition to the things whose
definitions are compounded out of their definitions.’ | Schwegler’s
proposal to excise é« does not, therefore, seem necessary. For
a similar confusion cf. Z. 1034? 31.
4. 00x dpa Smdépxer does not mean that these characteristics are never
found together, but that they are not always found together. It is not
necessary to read tdpyxer (de/) as has been suggested.
For
a similar confusion cf. Z. 1034? 31.
4. 00x dpa Smdépxer does not mean that these characteristics are never
found together, but that they are not always found together. It is not
necessary to read tdpyxer (de/) as has been suggested.
10. €k mpoo0dcews yap TO evKs 6 evKds AvOpwmros A€yeru. Bz.
proposes 70d AevKod, which he takes to be Alexander’s reading. He argues
that ‘ man’ cannot be considered as added to ‘ white ’, but rather ‘ white’
as added to ‘man’, On this interpretation the clause would mean
something like this: ‘ We have spoken of ‘‘ white man”’ as if it were
ex mpoobecews compared with “ white”. But really it is é« mpoofécews
only as compared with ‘‘man”.’ Alexander’s general interpretation
agrees with this, but it seems clear that he read ro Aeve@ with the
manuscripts, and interpreted this as ‘by virtue of white’ (rpooécer
tov NevKod); V. 733. 34. This is surely an impossible interpretation.
It seems better to translate ‘ by addition to the white’. It is true as
Bz. says that we cannot suppose a ‘ white’ to exist first and then to
become a man. But we can think first of ‘white’ and then add the
thought of ‘man’, and this is the Aristotelian use of rpdcfecrs. Cf.
Z. 1029 33, where we have 7G dAXo (sc. dvOpwrov) aitG (sc. AcvKG)
mpookeioGar, and Z. 5, where the definition of 76 ouov as fils oyun or
of 76 dppev as dppev Goov is described as being éx rpooOécews. On this
view the clause in question does not correct what has gone before but
justifies the previous description of Aevxds dvOpwios as being é« mpoo-
@goews in comparison with Aev«dv.
15. évedexeto, as was shown in 1076 38-} rr.
416 COMMENTARY
Mathematics considers as tf they existed separately objects that do
not exist separately (ch. 3).
107717. (C) As the universal propositions in mathematics are about
spatial magnitudes and numbers but not about them as such, so there
may be proofs about sensible magnitudes “but not about them gwa
sensible. As there are reasonings about things merely gwa movable
without there being an entity ‘the movable’ either apart from or in
sensible things, so there can be reasonings about movable things gua
bodies, gua planes, &c.
gi. Thus we can say without qualification that mathematical objects
exist, and are such as mathematicians suppose. Each science deals
with objects in respect of some particular attribute and not of those
incidental to it. Similarly mathematics deals neither with sensible
things as such nor with separate non-sensible things, but with the
attributes that belong to sensible things gwa involving lines and
planes.
1078*9. The simpler the object, the more exact the knowledge ;
arithmetic is more accurate than geometry, geometry than kinetics,
the kinetics of simple movement than the kinetics of complex
movement.
1078*9. The simpler the object, the more exact the knowledge ;
arithmetic is more accurate than geometry, geometry than kinetics,
the kinetics of simple movement than the kinetics of complex
movement.
14. Harmonics and optics, again, study their objects not gua voice
or sight but gva numbers and lines; so too mechanics. There is no
mistake involved in supposing the objects separated from their con-
comitants, any more than in the geometer’s supposition that a line is
a foot long when it is not.
21. The best procedure is that of arithmetic and geometry --to
suppose separate what is not really so. Their objects exist potentially
though not actually.
gi. Since the beautiful may be found in unchangeable things though
the good is confined to action, they err who hold that mathematics
says nothing of the beautiful or the good. Even if it does not mention
the beautiful it proves attributes that are the chief forms of beauty—
order, symmetry, definiteness.
be, Since these are the causes of many results, mathematics in
a sense treats the beautiful as a cause.
107720. % evar Svaiperd. One might have thought that divisi-
bility was an essential characteristic of all the objects of mathematics.
But it must be remembered that points (# 12) and units (1078 24) are
among these objects.
_ 33. Aristotle said in 1, 16 of mathematical objects that otx dds
.
M. 3. 1077 20 — 10788 28 417
éorw. Now he Says ott éotw atA@s GAybes cimety. They donot exist
in the unqualified or strict sense, but we can say in an unqualified or
general way that they exist (that daA@s goes with ciety is indicated
by |. 31). daAds, ‘ without qualification’, can mean ‘strictly’ or
‘ vaguely ’ according to the context.
36. The reading of EA ci iyrewov 1d Aevkdv, 4} 8 orw tyrevov,
add’ éxeivov 7 éoriv Exdorov, byrewov tyvewod is unintelligible. Alex-
ander read ei 76 tyvevov Aevkdv, 4 8 eorw tyrewod, add’ exeivov ob
eorlv éxdory, «i tyvewov vyewod, which with Bz.’s emendations, the ©
reading of # for 7 and the addition of 7 after the second 9). Very likely it is meant to point to both distinctions.
Then, just as d&vev peyeGovs rd. places arithmetic above geometry, and
pddwora dvev kwycews places geometry above all sciences of motion,
cay 0€ Kivyow, padioTa THY mparnv places astronomy above sublunary
kinetics, which studies non-circular q@opaé, and still more above, say,
biology, which studies avdénows kat pOiors.
15. ypoppat refers to optics, which is subordinate to geometry,
GpiOyot to harmonics, which is subordinate to arithmetic (An. Post.
75” x5).
16. The oixeta ...mdé0 here mentioned are to be distinguished from
the ida 2dOy of 1.7. The ida wa0y were the derivative attributes
which belonged to, e. g., animals gua male or gua female—the major
terms of demonstration; the oixeta wa6y are the attributes linearity and
numberedness which belong directly to the objects of optics and
harmonics and from which other attributes can be derived—the middle
terms of demonstration.
g., animals gua male or gua female—the major
terms of demonstration; the oixeta wa6y are the attributes linearity and
numberedness which belong directly to the objects of optics and
harmonics and from which other attributes can be derived—the middle
terms of demonstration.
20. Alexander’s reading is sufficiently confirmed by N. 108% 22,
28. todrwy, humanity and indivisibility (cf. 1. 26), Alexander may
have read rovrov, indivisibility (739. 14).
16 Suvarév. Alexander takes this as subject of érdpyew and supposes
that it is a geometrical attribute which Aristotle states to be capable
of belonging to man even if he were not indivisible. Alexander is no
doubt thinking of the sense of dvvac6a. which has led to the use of the
2673-2 Ee
418 COMMENTARY
word ‘power’ in its arithmetical meaning. But (1) what is said
dvvacGa in this sense is the line on which a square or a cube is erected,
so that 8vvardy in this sense is not asuitable epithet for a man, and (2) the
subject of ddpxew is undoubtedly &... aird. Bz. takes 7d dwvardy
to mean ‘so far as possibility is concerned’, but this with évdéyerau is
otiose, and the usage is apparently not found elsewhere. 0 dvvaroy is
probably a gloss on iAuas (1, 31), perhaps introduced here by a copyist
who took rovrwy to be the antecedent of g@ and thought that trdpyew
needed a subject. The words are omitted by I.
30-31. Sitrdv yap... dAukas. Aristotle means that mathematical
objects exist éAucds, and this, since it is opposed to évredexela, we may
interpret as = duvdue. The meaning must be that mathematical
objects exist neither (1) as actually and substantially present all along
in sensible things (refuted 10768 38-11), nor (z) as substances
actually existing apart from sensible things (refuted 1076 11 —1078%21),
but (3) as potentially present in sensible things and receiving actual
existence by the geometer’s act of ywpucpds. Cf. Il. 21 ff. and @,
10514 21-33. The mathematical parts into which a body can be
divided are its tdy vonry, as its material elements are its vAn aicOyryn
(Z. 1035% 12, 10364 9-12, > 32—1037*5).
Cf. Il. 21 ff. and @,
10514 21-33. The mathematical parts into which a body can be
divided are its tdy vonry, as its material elements are its vAn aicOyryn
(Z. 1035% 12, 10364 9-12, > 32—1037*5).
g1— 6. The thinkers here criticized are those referred to in B. 996% 32
as tév copioctav twes olov ’Apiotimros. In B nothing is said of 7d
xaddv ; these thinkers are represented simply as attacking mathematics
because it never uses dya6dv as a middle term. Here they are
represented as saying that mathematics never uses either dya@dév or
xadov, and Aristotle replies that it uses the latter though not the former.
This: distinction of the two terms (xaAdv being the wider of the two,
ll. 31, 32) isnot found elsewhere in Aristotle, though we may perhaps
find a trace of it in IZ, A. 700? 25 76 rovwirdv eo TOV d-yabdv 70 Kwodv,
aX’ od ray 76 kaAov. It is somewhat surprising to find Aristotle saying
that 76 dyaOor is det ev pdfe, considering that it is found in every cate-
gory and can be applied to God and to reason (LZ. JV. 10964 23). But,
though xaAdv and dyaféy are often used synonymously, xaAdv is applic-
able primarily to the physically beautiful and dya@dv to the morally
good ; or at any rate for the sake of argument Aristotle is willing to
admit this restriction of the meaning of dyafdv.
35. The épya of beauty are the facts in the nature of the universe
due to rats and 76 dpurpevoy ( 2-4), i.e. to the striving of nature to
attain to order and determinateness. By the Adyo of beauty Aristotle
means rats, cupperpia, TO dpirpevov.
The next sentence presents them in another light, as main species
(eidn) of beauty. His stricter view is that they are elements in the
definition of beauty (cf. Poet, 1450 36 70 Kadov ev peyeOa kai rage
éori, ‘involves size and order’), The péyefos which is mentioned
in the Poetics and in Pol. 1326* 33 as an element in beauty answers
to 16 dpurpévov here; the third element cupperpia is mentioned in
Top. 116% 21 as being thought to constitute the beauty of musical
tunes,
M. 3. 10788 30 — 1078) 5 419
bi, rdgts, the spatial arrangement of the parts; oupperpta, the
proportional size of the parts; 13 dpiopévoy, the limitation in size of
the whole. Mathematics does not speak of beauty but it proves
that certain objects have these attributes, which are the very soul of
beauty.
5. év dAdo, Neither A. 7 (1072* 34), 8, ro, nor N. 4, nor the
De Caelo really fulfils the promise here made, and it seems best to
treat it as one of Aristotle’s unfulfilled promises.
I]. ‘Tur Forms (chs. 4, 5).
Flistory and criticism of the theory of Forms (ch. 4).
1078" 7. We must first examine the doctrine, in its original orm,
apart from any theory of numbers.
12, The founders of the doctrine were convinced by Heraclitus
arguments that sensible things are always in flux, and inferred that
there must be other things to serve as objects of knowledge.
4).
1078" 7. We must first examine the doctrine, in its original orm,
apart from any theory of numbers.
12, The founders of the doctrine were convinced by Heraclitus
arguments that sensible things are always in flux, and inferred that
there must be other things to serve as objects of knowledge.
17. Socrates was the first to seek general definitions—viz. of the
virtues. Democritus had defined, in a way, heat and cold; the
Pythagoreans had reduced the definitions of a few things to
numbers.
2g. It was natural that Socrates should seek definitions ; for he was
trying to reason, and the ‘what’ is the starting-point of reason-
ing; there was at that time no dialectical power such as enables
people to study contraries without knowing the ‘what’. Two things
we may ascribe to Socrates are inductive arguments and general
definition, both concerned with the starting-point of knowledge.
30. Socrates did not treat the universals as existing separately ; his
successors did, and called them Ideas; by the same argument they
involved themselves in Ideas of all universals.
34. Objections: (i) The theory merely doubles the number of
things to be explained; for there is an Idea answering to every set of
things with a common name; there is a ‘one over many’ both for
substances and for non-substances, both for temporal and for eternal
entities.
1079" 4. (ii) Of the proofs of the theory, some prove nothing, others
would prove the existence of Ideas of things of which the Platonists
think there are none, (a) The arguments from the existence of the
sciences would prove that there are Forms of all things of which there
Re 2
420 COMMENTARY
are sciences. (8) The argument of ‘one over many’ would prove
that there are Forms of negations. (y) The argument from the
possibility of thinking when the object has perished would prove that
there are forms of perishable objects. —
11. (5) Of the most accurate arguments some lead to Ideas of relative
terms, others posit the ‘third man’.
14. (iii) In general the arguments about the Forms destroy what the
supporters of Forms think more important than the Forms; number
becomes prior to the dyad, the relative prior to number and thus to the
absolute. In various ways the opinions about the Forms conflict with
the first principles of the theory.
1g. (iv) According to the view on which the theory is based there
will be Forms of many things besides substances (for there can be
a single conception, or a science, of other things); but according to
the logical requirements of the theory and their actual opinions, if the
Forms are shared in there are Forms only of substances.
26. For (a) each is shared in not as an accident of something else
but as something not predicated of a subject (i.e. not as anything that
shares in doubleness shares in eternality because doubleness is eternal),
so that the Forms must be substance. But (8) the same names must
indicate substance in the sensible world as in the ideal (else what is
meant by calling the Idea ‘one over many’? Ifthe Ideas and the
things that share in them ave che same form, there is something com-
mon, for instance, to the Idea of two and the particular two, as there
is to the perishable twos and to the particular mathematical twos; if
they have not the same form, they have only their name in common,
as Callias and a statue may both be called ‘a man’.)
b 3. If it be suggested that the common definition applies to a Form,
and only the name of that which it is the Form of has to be added, the
suggestion is unmeaning. (a) To what element in the definition is this
tobe added? Every element in it isan Idea, genus and differentia alike.
(8) ‘Formness’ will itself be a Form present in all Forms, as ‘plane’
is present in all its species. Thus there is an infinite regress.)
1078” 7-8, St. Te dvta éoti Kal THs dvtTa (7a pabyuarixd) has been
the general subject of chs. 2, 3; m@s mpdtepa kai ms of mpdtepa the
subject in particular of 1077 17-20, 24—-) 11.
11. Who were ot mp@to tas iS€as pyoavtes etvar? A comparison of
ll. 12-32 with A. 987%29-58 shows clearly that Aristotle means
Plato. The evidence of Aristotle is against the ascription of the
ideal theory to Socrates or to the Pythagoreans. It may, of course,
be contended that Aristotle had no knowledge of Socrates’ views
except what he got from the Platonic dialogues, and that he com-
§T. ALBERTS COLLEGE Lip
M. 4. 10786 7-12 421
pletely misunderstood the dialogues in supposing that the doctrines
ascribed to Socrates in them are ascribed to him for dramatic pur-
poses. But that the ‘mind of the school’ misunderstood the dialogues
so completely is unlikely and demands more proof than has yet been
offered.
4. 10786 7-12 421
pletely misunderstood the dialogues in supposing that the doctrines
ascribed to Socrates in them are ascribed to him for dramatic pur-
poses. But that the ‘mind of the school’ misunderstood the dialogues
so completely is unlikely and demands more proof than has yet been
offered.
The ‘first people who said there are Ideas’ are stated here, ,
exactly as Plato was stated in Bk. A, to have been influenced
by the Heraclitean doctrines (1078 13, 9872 32), to have followed the
lead of Socrates in his search for ethical definitions or universals, and
to have given the name of Ideas to these universals (cf. 1078 17-19,
30-32, with 9871-8). Prof. Taylor’s view (Varza Socratica, 81-89)
that of & éxépucar (I. 31) refers to the Megarian School, the eidév iAor
of the Sopfzszes, ignores the correspondence of the passage with that in
Aristotle. The main difference between A and M here is that M, in using
the phrase of rpGrou tas ideas Pyoavres eivat, and in referring only to the
influence of Heracliteanism in general and not of Cratylus in parti-
cular, perhaps suggests that Plato was one of a band of thinkers who
by their united efforts arrived at the ideal theory. Socrates, however,
was not one of this band, though he prepared the way for it; the dis-
tinction between his view and the doctrine of Ideas is stated emphati-
cally in ll, 30-32. The vague reference of mparou tas ideas Pjoavtes is
thoroughly characteristic of M, which is concerned with doctrines,
not with people (cf. 1076 ® 16-22, 1080» 11-30).
There is, of course, a distinction drawn here between the theory of Idea-
numbers (which we know Plato to have held) and the first form of the
ideal theory (ll. 9-12). But this does not amount to a distinction, as
Prof. Burnet maintains (G. P. 157) between Plato and ‘the first persons
who said that the Forms existed’. The distinction is between the
theory of Idea-numbers (a theory held in different forms by Plato and
by Xenocrates) and the ideal theory as it was originally (€ dpyjs)
held by its first supporters (Plato and the rest of the band referred
to above). Prof. Burnet tries to discount the value of Aristotle’s state-
‘ments about Socrates (in particular his refusal to treat Socrates as
a, or the, founder of the ideal theory) by pointing out that Socrates
‘had been dead for thirty years when Aristotle first came to Athens
at the age of eighteen’. He smaintains that all that Aristotle knew
about Socrates was derived from the Platonic dialogues, and especially
from the Phaedo. But it is as near certainty as we need wish that he
must have learnt much from Plato about Socrates by word of mouth.
Surely the very fact that he does not take the dialogues at their face -
value and ascribe to Socrates everything that is ascribed to him in the
dialogues shows that he had independent information in the light of
which he interpreted them. Cf. Introduction, pp. xxxiii-xlv.
Surely the very fact that he does not take the dialogues at their face -
value and ascribe to Socrates everything that is ascribed to him in the
dialogues shows that he had independent information in the light of
which he interpreted them. Cf. Introduction, pp. xxxiii-xlv.
13. TWept Tis dAnPelas, ‘on the question about the truth (or real
nature) of things’. Cf. A. 983° 2 n.
tots “Hpakertetois Adyous, cf. A. 987232n.. Cratylus is there
mentioned as the Heraclitean who was Plato’s first master in philo-
sophy.
422 COMMENTARY
15. povyois is used here in the Platonic sense in which it is not
distinguished from éruorjn and restricted to moral questions.
17. The sentence beginning here is never properly completed ; the
long parenthesis, ll. 19-30, causes Aristotle to forget the construction
cf. K. 1067” 25-34.
19-20. The opposition Tév peév ...puockdr.... ot Sé NuPaydperor sug-
gests that rév dvouxGv means ‘of the physicists’, and that the object of
nwaro is ‘the problem of definition’; Alexander’s interpretation, that
Democritus ‘touched on natural objects’ gives a good enough sense,
but the other interpretation is made certain by a comparison with
P. A. 6422 24-31. povov goes with él puxpoy Haro and emphasizes
the slightness of Democritus’ effort. Cf Phys. 194% 20.
21. On the Pythagorean attempts at definition cf. A. 985? 29,
9874 20.
22. avomrew is not used elsewhere by Aristotle in this sense, and one
is tempted to read dvjyov, which Alexander uses in his interpretation
and E gives as an alternative reading. But dvamrew is used thus by
other authors.
katpds was identified with the number 7 (Al. 38. 16, 75. 23).
23. 75 Sikatov was identified, Alexander tells us (741. 5), with ‘the
number that divides ro in half’, i.e. 5 (cf. 721. 13). But elsewhere he
says it was the first square, either 4 or 9 (38. 12), and the other
evidence (Z. WV. 1132%22, MM. M. 1182%14) tends more in this
direction. ydéos was identified with 5, the sum of the. first even and
the first odd number (39. 8).
25. oUmw tor ‘jv. Aristotle is quoted as having called Zeno the
Eleatic the inventor of dialectic (frr. 1484» 29), and Zeno was doubt-
less considerably senior to Socrates (Pl. Parm. 127 Bc), so that ovzw
tor Hv is meant only in a very limited sense. Aristotle means that the
procedure of which we have an instance in the Parmenzdes (cf. Meno
86 ff. and Sophistes), where the consequences of contrary hypo-
theses, ‘if one is’, ‘if many are’, are studied without any definition of
one or of many having been agreed upon, was not yet a well-recognized’
mode of discussion in Socrates’ time as it afterwards became.
26. tay évavtioy ei 4 adTy emorypy is again in Zop. 105 23
mentioned as a dialectical inquiry (zpdéracis Aoyixy). It is rather sur-
prising to find this particular inquiry about contraries co-ordinated by
kai with the general phrase rdavayria, but it is not necessary with Maier
(Syll. des Arist. ii. 2. 168) to regard kal... émuornn as a gloss.
105 23
mentioned as a dialectical inquiry (zpdéracis Aoyixy). It is rather sur-
prising to find this particular inquiry about contraries co-ordinated by
kai with the general phrase rdavayria, but it is not necessary with Maier
(Syll. des Arist. ii. 2. 168) to regard kal... émuornn as a gloss.
28. Aristotle cannot mean that Socrates was the first person who
used inductive arguments or gave general definitions, but that he was
the first who recognized the importance of them and systematically used
the former in order to get the latter. The inductive arguments referred
to are not scientific inductions but arguments from analogy such
as we often find Socrates using in the AZemoradilia and in Plato’s
‘Socratic’ dialogues. For an instance cf. A. 10252 6-13.
84—108028 agrees almost verbally with A. ggo? 2-991? 9,
with the exception of the section 1079” 3-11, which has nothing
M. 4. 1078%15 — 1079? 11 423
answering to it in Book A. The main points of divergence are noted
below ; for what is common to both passages cf. the notes on Book A.
Alexander had the passage in his text of M but does not comment on
it. Occasionally A is fuller than M (cf. 990% 26, 991725, 55 with
1079? 23, > 28, 10804), but for the most part M is fuller (cf. go? 20,
9917 4, 17, °3, 7, 9 with 1079 17, 35, > 21, 108042, 6,8). Cf A.g
note ad zniz. 8
36—1079*1. For mheiw... ein A has oxeddv yap ica—i) odk eAdrrw
—ra eidn éeori Trovrors, a milder statement.
1079? 5. Setkvutar, 990) g deikvupev. Cf. 7 oiovrat, 990” 11 oidpeba
12, 20, 1080%6 gacw, 990 16, 23, 99127 dapev; 14 BovdAovrar,
990” 18 BovAovrar APAI., BovAdueba E Asc.
20. The M version as compared with the A version affects the
use of a plural verb with a neuter plural subject ; cf. 1. 20 with ggo? 24,
28 with 990» 31,» 12 with 99179.
> 3-11 is peculiar to M. It suggests an alternative course between
the supposition that the Idea is cvvdévvpoy with its particulars (# 33)
and the view that it is éuévvpov (@ 36, » 1)—a course, however, which
does not free the Platonists from difficulties. The suggestion is that
the definition of an Idea is the same as that of its particulars, except
that in the former we must add ‘that of which it is’ the Idea or
pattern, EE. g. the Idea of circle would be defined as ‘a plane figure
such that every point on the circumference is equidistant from the
centre, such figure being the Idea of sensible circles’. Aristotle
makes two objections. (1) To what element in the definition must the
ov éori, the statement of what the Idea is an Idea of, be added? To
the word ‘centre ’, the word ‘ plane’, or to every word? Every element
in the Idea must be ideal. (2) ‘Being an Idea of something’ will
itself be a common nature present in all Ideas, i.e. itself an Idea:
To
the word ‘centre ’, the word ‘ plane’, or to every word? Every element
in the Idea must be ideal. (2) ‘Being an Idea of something’ will
itself be a common nature present in all Ideas, i.e. itself an Idea:
I10-II. pvow ... yévos is predicate of etvyar, and there should
be a comma after érimedov. It is not necessary to omit ts as Christ
suggests. ‘“ So-and-so itself” (aiz¢ 71) will be a nature present in all
the Forms as their genus, as ‘‘ plane” is present in all the species of
plane figure.’ aio 7 is a generalization of Platonic phrases like airs
ayaGov, and the meaning is that Formness will itself be a Form; and
this can be attacked by a rpiros dv@pwiros argument.
The Forms do not explain the changes in the sensible world (ch. 5).
1079 12. (v) The main question is, what do the Forms contribute
either to eternal or to transient sensibles? (a) They cause no change
in them, (8) they contribute nothing to the knowledge of them (for, not
being in them, they are not their substance),
424 COMMENTARY
17. nor (y) to their being (if they were in them they might perhaps
be their causes as white is of the whiteness of that in which it is mixed ;
but this view of Anaxagoras and Eudoxus is easily refuted).
23. (vi) Other things are not composed of Forms in any ordinary
sense, and to call the Forms patterns and say that other things share
ia them is empty metaphor. For (a) what-is it that works with its
eye on the Ideas? (@) It is possible to be or become anything without
being copied from an original.
gi. (y) There will be many patterns, and therefore Forms, of the
same thing; to a man there will answer the Forms of animal, biped,
and man. (8) The genus will be the Form of its species, so that the
same thing will be pattern and copy.
35- (vii) How can the Ideas, being the substances of things, exist
apart from the things? In the Phaedo they are said to be causes both
of being and of becoming.
1080* 3. Yet (a) even if the Forms exist, the things that share in
them do not come into being unless there is a moving cause, and
(8) many things, e.g. houses, come into existence though the Platonists
say there are no Forms of them, and therefore those also of which they
say there are Forms may be or come into being owing to similar
causes, and not to the Forms.
g. These and other more abstract and accurate arguments may be
brought against the Ideas.
1079» 28. It is not, I think, necessary to insert éuovov from Book A
with Bonitz. ‘It is possible to be or become anything without being
copied from an original.’
34. Tav ds yévous cidav, cf. A. 991® 31 n.
g. These and other more abstract and accurate arguments may be
brought against the Ideas.
1079» 28. It is not, I think, necessary to insert éuovov from Book A
with Bonitz. ‘It is possible to be or become anything without being
copied from an original.’
34. Tav ds yévous cidav, cf. A. 991® 31 n.
10807 10. AoyiKds, AoyiKHs generally in Aristotle denote a discus-
sion which does not start from the oixetau dpyad of the subject but from
verbal considerations, and is a term of reproach rather than otherwise,
so that it is somewhat strange to find Aoyexwrépwy coupled with axpi-
Beorépwv. If we remember, however, that the Platonic doctrines are
themselves said by Aristotle to have been of this nature (1084) 25,
A. 987° 31, ©. 1050” 35, A. 1069228, N, 108721), we may infer
that he means that he could produce arguments which would meet the
Platonists more on their own ground and would have the precision
that comes from abstraction (cf. 10784 9, 10).
M. 5. 1079» 28 — 1080? 10 425
III]. Numpers as Separate SuBsTANCES AND First CAusES
(chs. 6-9. 1086* 18).
Various ways in which numbers may be concetved as the substance
of things (ch. 6).
10802 12. If number is an entity whose essence is just to be
number, then (1) there is an order of priority and a specific difference
between the numbers, and between the units, which therefore are
incomparable.
20. or (2) all units are comparable, as in mathematical number ;
23. or (3) the units of a single number are comparable, but those of
different numbers are not comparable zzéer se ;
30. so that while in mathematical number 1 is added to 1 to make 2,
in this kind of number 2 is two ones distinct from the number 1 ;
35- or (4) there are all three kinds of number, those described in
(1), (2), and (3).
37. Further these numbers must be either separate from things or
in things, i.e. composing sensible things; the latter alternative may be
true of some or of all numbers.
> 4. All those who treat the One as a first principle and a substance
have adopted one or other of the above views, which are the only
possible views ; all the views but (1) have found support.
1. (A) Some (Plato) believe in both kinds of number—that which
has priority and posteriority (the Ideas) and mathematical number ;
they believe both to exist apart from sensibles.
14. (2) (a) Some (Speusippus) believe in mathematical number
only; (4) the Pythagoreans too believe in mathematical number
only, but in the sense that sensible substances are actually composed
of extended units—though they cannot tell us how the first extended
unit came into being.
21. (C) (a) Another thinker says only ideal number exists, and (6)
some (Xenocrates) identify this with mathematical number.
21. (C) (a) Another thinker says only ideal number exists, and (6)
some (Xenocrates) identify this with mathematical number.
23. There is a similar variety of opinion about lines, planes, and
solids. (A) Some distinguish the mathematical lines, &c., and those
which come after the Ideas; (#) some say that the mathematical
objects exist, and speak mathematically about them (viz. the non-
believers in Ideas); (C) others say that the mathematical objects
exist, but do not speak mathematically, for they say that not every
magnitude is divisible into magnitudes, and not every two units make
a two,
go. All who treat the One as a first principle suppose numbers to
426 COMMENTARY
be composed of abstract units, except the Pythagoreans, who conceive
of numbers as extended.
33. These are the possible views; all untenable, but perhaps some
more so than others,
1080 15-4. The sentence is_irrégular ‘in structure. Aristotle
begins (1. 17) by stating what looks as if it were to be the first of a series
of alternative hypotheses about the nature of zzmders, but he proceeds
to state three possible forms of this one hypothesis, differing in the view
they take of the nature of wnz/s (Il. 18, 20, 23), and recurs to numbers
only in 1]. 35, where he states as a fresh alternative that there may be
three kinds of number having the three kinds of unit respectively ;
finally in 1. 37 he classifies the possible views according to a different
principle of division. It is noteworthy that he brings forward his
classification as one arrived at a priorz, not by enumeration of existing
views. This awakens a certain suspicion that he may in his account
of the actual views do them some injustice in order to fit them into his
ready-made scheme. He says «definitely, however, that each of the
views he mentions had supporters, except the view that all units
are incomparable (1080) 8, cf. 1081°35). # tas pev KrAr. (I. 23),
though grammatically, co-ordinate with rou etvar xrX. (J. 17), is in
sense co-ordinate with # él rév povddwy KrX. (1. 18) and with 7 ets
epeens xd. (1. 20). The views Aristotle mentions are
(1) the belief in incomparable numbers (1. 17), (2) with units all
incomparable (I. 18),
or (4) with units all comparable (1. 20),
or (c) with the units of each number comparable with each other,
but incomparable with those of other numbers (1. 23),
(2) the belief in all three kinds of number, i.e. the kind (1 a), the
kind (1 4), and the kind (1 c) (1. 35).
He omits (3) the belief in two kinds of number, (1 a) and (1 4),
’ (1 a) and (1 ¢), or
(1 6) and (1¢).
In ll. 21, 36 he confuses (1 4), the belief in incomparable numbers
whose units are all comparable, with (4), the belief in comparable
numbers (whose units must necessarily be all comparable), for clearly
this is what he conceives 6 wabyparixds dpiO.ds to be.
In ll. 21, 36 he confuses (1 4), the belief in incomparable numbers
whose units are all comparable, with (4), the belief in comparable
numbers (whose units must necessarily be all comparable), for clearly
this is what he conceives 6 wabyparixds dpiO.ds to be.
It must not be thought that this passage offers a classification of
hypotheses about ideal number in particular, for the classification
includes the Pythagoreans (16), who drew no distinction between
mathematical and ideal number, and Speusippus ( 14), who believed
only in the former. What we have is a classification of all the
views which treated numbers as ‘separate substances and first causes
of existing things’ (#14). Alexander, failing to notice that the Pytha-
goreans enter into the classification, takes it to be a classification of
theories of ideal number (e.g. 743. 13), and this leads him to give an
absurd interpretation of * 35-37. He takes it to mean that e.g. 3, 4,
M. 6. 10802 15 — 1080) 4 427
5 might be composed of units all of which are incomparable, 7, 8, 9 of
units all of which are comparable, 20, 30 of units such that those in 20
are comparable with each other and those in 30 with each other but
those in 20 are not comparable with those in 30. It seems clear that
the view referred to in # 35-37 is one which believes in the existence of
three complete number series of different kinds.
So far as ideal numbers are concerned, the doctrine that they are
‘incomparable’, i.e. incapable of being added or subtracted, multi-
plied or divided, is a perfectly sound one which is misunderstood by
Aristotle. The ideal numbers are simply the natural numbers, 1,
2, 3, &c., or in other words oneness, twoness, threeness, &c., and
these of course cannot be added. You cannot add oneness to one-
ness because there is only one oneness; and it is equally certain
that you cannot add oneness to twoness. And, further, Aristotle’s
notion of numbers as containing units, and the resulting question
whether these are comparable or incomparable, is equally mistaken.
The number 2 does not contain two numbers 1, for there is only one
number 1.
As against the mathematical or ‘intermediate ’ numbers believed in
by the Platonists, Aristotle’s objection would have more force. There
are no ‘mathematical numbers’ distinct on the one hand from the
natural number, and on the other from the particular one-member
groups, two-meimber groups, &c., which are the instances of the natural
numbers. ‘The weakness of Aristotle’s position is that he believes in
mathematical numbers, which do not exist, and does not believe in
ideal or universal numbers, which do.
On the conception of dovpBAynto. apiOyot cf. Cook Wilson in
Classical Review, xviii. 247-260, especially §§ 2, 3, 5.
‘The weakness of Aristotle’s position is that he believes in
mathematical numbers, which do not exist, and does not believe in
ideal or universal numbers, which do.
On the conception of dovpBAynto. apiOyot cf. Cook Wilson in
Classical Review, xviii. 247-260, especially §§ 2, 3, 5.
1g. doupBAntos. The usage of cvpBardAcv, cvpBAnrtds, dovpBAnros
in Aristotle shows that the word must mean ‘incomparable’ ; and things
are comparable if and only if they belong to the same kind (Phys.
2488, 24993, Top. 107147, I. 1055%6). Thus dovuBdrnros is
practically equivalent to érepov dv ra cide (1. 17), and cupBAyrds can be
coupled with adiddopos (108145). Strictly, to say that two things are
ovpBAyra is to say that one can be expressed as a fraction of the
other, or at least as greater or less than or equal to the other. But in
this context cuuBdAyrat seems to mean ‘capable of entering into
arithmetical relations with one another—of being added and sub-
tracted, multiplied and divided’.
35-37. otos 6 mp@ros ehexOn, cf. ll. 15-203; otoy ot polnpatiKkol
héyouat, cf. 20-23 ; tov pnOévta TedeuTatoy, cf. 23-35.
bg, 16 mp@tovy, 10769 38-6 11. Aristotle is now omilting the com-
promise of Pythagorean and Platonic views referred to there, and
taking account only of the genuine Pythagorean view.
4. Bz. argues that the view that all the numbers are immanent in
sensibles has been already mentioned in ], 1, so that 7 wavras eivau is
unmeaning. But Alexander evidently had these words (perhaps
}) Tavras py etvar as well), though his interpretation of them cannot be
428 COMMENTARY
right; and so have all the good manuscripts. The solution of the
difficulty is to treat ot otrws . . . aiofyra as parenthetical. ‘* The
numbers must be either transcendent, or immanent .. . either some
immanent and not others, or all immanent.’
6. cxeddv is explained by zAqw ra. 1. 8.
4. Gddou twés, ie. the dzeipov in the case of the Pythagoreans, the
_‘ great and small’ er indefinite dyad in the case of the Platonists.
IO-Il. o0 yap... cipnpérvous. We shall see how Aristotle can say
this if we remember that (a) he confuses (4) above with (1 4), and (8),
since the view (1 @) is not held by any one (Il. 8, 9). (3.2) and (34)
disappear with it and (3¢) takes the place of (2). There thus remain
(A) the belief in (x 4) (Il. 14-21), (2) the belief in (12) (I. 21, 22),
(C) the belief in both (Il. 11-14), and (JD) the confusion of the two
(ll. 22, 23).
II, ot pév, who believed in both, means Plato and his orthodox
followers ; cf. A.g87®14-18. Aristotle thinks of the Platonic 7a peraév
as of the type (1 4), though they were more probably of the type (4).
14. ot S€ means Speusippus; cf. 10767 20-21 n.
15. Tov (not 75) mpatoy Tey Svrwv is somewhat strange ; in the light
of 1083? 23 (also on Speusippus) 7a 8¢ pabqparixa eivar Kai Tous apil-
pods =pérous Tay Gvrev One May conjecture that réy should be omitted.
14. ot S€ means Speusippus; cf. 10767 20-21 n.
15. Tov (not 75) mpatoy Tey Svrwv is somewhat strange ; in the light
of 1083? 23 (also on Speusippus) 7a 8¢ pabqparixa eivar Kai Tous apil-
pods =pérous Tay Gvrev One May conjecture that réy should be omitted.
16. The Pythagoreans, like Speusippus, believed in mathematical
number only; but they differed from him, as from all ra in
holding numbers to be actually present in ‘things (cf. 237-" 4). Mr.
Cornford holds, with much probability, that the Pythagorean doctrine
here referred to is not the mystical system of Pythagoras but a
scientific system of number-atomism which was developed in the fifth
century and was the forerunner of Atomism proper.- He summarizes
the main features of this system as follows: ‘(1) there is only one kind
of number—namely, mathematical number. (2) This number does
not exist separately, but sensible substances are composed of it . .
(3) These numbers do not consist of abstract units, but the units are
conceived as having spatial magnitude. (4) They are described as
“indivisible magnitudes” (1083"13). (5) Things or bodies are
identified with numbers composed of the indivisible magnitudes or
monads (1083 12 sqq.). (6) The Pythagoreans regarded numbers as
generated—the process of generation being, of course, identical with
the physical generation of the sensible world (1091* 17 sqq-)’ (CZ.
Quart. xvii. 8). Cf. N. 1092» 8-15 n.
19. Atv of povadixéy. The Platonists, like Aristotle, thought of
numbers as composed of unextended units; the Pythagoreans thought
of them as extended and having extended units. In other words they
had not reached the notion of arithmetic as distinguished from
geometry. Aristotle uses dpifpos dpiOuqrixos in the same sense as
dppos povadixes (108316). Zeller thinks (i.° 483-488) that in
stating the Pythagorean units to be extended Aristotle is drawing a
mistaken inference from the Pythagorean view that bodies are com-
posed of numbers; he admits, however, that the Pythagorean
M. 6. 1080) 6-25 429
cosmology implies the treatment of numbers as spatial. But -at the
time of the Pythagoreans the notion of non-corporeal reality did
not exist, so that they necessarily thought of the units as extended.
There is some ground for holding that they called them éyxo: (Burnet,
E.G. P.§ 146).
But -at the
time of the Pythagoreans the notion of non-corporeal reality did
not exist, so that they necessarily thought of the units as extended.
There is some ground for holding that they called them éyxo: (Burnet,
E.G. P.§ 146).
20-21. Stas 5é. . . oixacw. Cf. N. 10912 15, where we learn that
the Pythagoreans ‘say that when the One had been put together
whether out of planes or out of surface or out of seed or out of they
know not what, immediately the nearest part of the infinite began to
be drawn and limited by the limit’. The general sense of the present
passage is: ‘ The Pythagoreans construct the universe out of numbers
having spatial units; but how the first unit was constructed as an
extended thing they cannot tell’. ‘ They had not’, as Mr. Cornford
observes (CZ. Quart. xvii. 9), ‘reached the position of fully developed
atomism, which postulates an indefinite plurality of atoms or monads
as an ultimate and eternal fact.’
ai. It is not easy to identify dAdos . . . 71s, who believed in ideal number
only. Alexander’s suggestion that it was a Pythagorean can hardly
be right, since Aristotle never ascribes the belief in Ideas to Pytha-
goreans. It must be a Platonist, but further than this we cannot go.
Elsewhere in enumerating the views held Aristotle omits this one
(1076? 19-22, 10864 2-13, cf. 1080» 24-30).
Jaeger would remove the difficulty by treating Go: as a variant for
eivax and removing eivaz in |. 23 as a later-addition due to the intrusion
of €or. But Alexander and Syrianus had our text; and it is not
particularly surprising that Aristotle should mention here a view he
does not mention elsewhere—a view which is almost certain to have
been held by some Platonist.
22. By the vo. who identified ideal and mathematical number
Aristotle probably means Xenocrates. Cf. 10762 20-21 n.; Z, 1028>
24 Nn.
24. ot pev answers to of wer in |. 11 and refers to Plato.
25. Ta peta Tas ideas. Cf. A. 992° 13 ovGeva F exer Adyow ovde Ta
peta. Tovs apiOpors pjKn Kal éxireda Kal oTEped ... TatTa yap ovTe «dy
otov Te evar (ov yap ciow apiOpot) otre Ta petadd (uabnwatixa yap
éxetva) ovre 7a POaprd, aAAG waAw Téraptov GAO gaiverar TotTd 7
yevos. Just as Plato distinguished the Idea of ‘two’ from the many
2’s of which arithmetic speaks, he distinguished ‘the straight line
itself’, ‘the triangle itself’, ‘the cube itself’, from the many straight
lines, triangles, and cubes of which geometry speaks. In the earlier
form of his theory he spoke of these as Ideas, but when he came to
call the Ideas numbers he no longer called these Ideas, since they were
not numbers. Accordingly he called them (or Aristotle calls them for
him) 7a pera Tas ideas OF Ta peta Tots GpiHuovs. Just as mathematical
number is prior to mathematical lines, planes, and solids, being é€
éX\arréver, the Ideas of numbers were prior to these quasi-Ideas of
lines, planes, and solids. ra pera ras idas (rods dpibuovs) : dae
(eidnrixot dpOn0r) 2: pabypatixd pyxy KTA. : waGyuatixoi dpiOoi.
Just as mathematical
number is prior to mathematical lines, planes, and solids, being é€
éX\arréver, the Ideas of numbers were prior to these quasi-Ideas of
lines, planes, and solids. ra pera ras idas (rods dpibuovs) : dae
(eidnrixot dpOn0r) 2: pabypatixd pyxy KTA. : waGyuatixoi dpiOoi.
430 COMMENTARY
26. of pév answers to ot dé in ]. 14 and means Speusippus and the
Pythagoreans.
28. ot 8¢ answers to évoi' dé in 1, 22 and means Xenocrates. (No
one is mentioned answering to dAAds ts in 1. 21, and this view is
difficult to distinguish from that of Xenocrates.) od réuverOar
peyeOos may eis peyeOy (1. 29) is a clear allusion to the doctrine of
indivisible lines, of which the main supporter was Xenocrates, though
it is also ascribed by Aristotle to Plato (A. 992 20).
29. 000 Strovacody povddas Sudda etvar is not strictly relevant here,
where spatial magnitudes are being spoken of, but is rather illustrative.
Xenocrates speaks of mathematical magnitudes in a non-mathematical
way, supposing that the units in one mathematical number (as Plato
had supposed that the units in one zdea/ number) are specifically
different from those in another, so that a unit of 2 + a unit of 3 would
not make 2.
30-33. Aristotle here recurs from 7a pera Tas ideas to numbers, and
repeats what he has said in Il. 17—20.
36. paddov 8 tows Odrepa tav érépwy. Aristotle means the view ot
Xenocrates, which xe/purra déyerar (1083> 2), combining as it does
800 dpaprias, misdescribing mathematical number and also being open
to all the objections against ideal number (1083) 3).
Examination of Plato's view (ch. 7-8. 1083* 20).
1080) 37. (A) We must first examine whether the units are com-
parable, and if not, in which of the two senses they are not.
1081* 5. (1) If all are comparable and not different in kind, we get
only mathematical number, and the Ideas cannot be the numbers thus
produced (for there is but one Idea. of each thing, e.g. of man, while
there is an indefinite number of similar numbers, e.g. threes ;
12. but if the Ideas are not numbers, they cannot exist (for the first
principles are said to be first principles of number, and the Ideas
cannot be classed as either prior or posterior to numbers).
17. (2) If all units are incomparable, (a) the number so produced
is not mathematical number (which is composed of undifferentiated
units).
21. Nor is it ideal number, for 2 will not be the first product of 1
and the indefinite dyad, and be followed by 3, 4, &c. (the units in 2 not
being prior or posterior to one another), since if one unit is to be prior
to the other, it will be prior to the 2 which they compose.
29. (4) The units will be prior to the numbers after which they are
named, e. g. the third unit (the second in the number 2) will be prior
to the number 3.
M. 6. 1080 26-36 431
29. (4) The units will be prior to the numbers after which they are
named, e. g. the third unit (the second in the number 2) will be prior
to the number 3.
M. 6. 1080 26-36 431
35. Though no one has supposed the units incomparable in this
way, the view agrees sufficiently with the principles of these thinkers,
If there is a first unit, there will be priority and posteriority among the
units, and similarly among the twos; but though they recognize a first
unit and a first two, they do not recognize a second or a third.
bro. (c) If all the units are thus incomparable, there cannot be
a ‘two itself’, a ‘three itself’, &c. For whether the units are different
or not, the numbers must be generated by successive additions of 1;
but if so, they are not generated as these thinkers say they are, from
the One and the indefinite dyad.
18. For the number two is a part of the number three, and this of
the number four, whereas they generate four from the number two
and the indefinite dyad and make it consist of two twos other than the
number two;
22. otherwise 4 will consist of the number 2 and another 2, and
the number 2 will consist of the One itself and another 1, and if so,
the element in 2 other than the One itself cannot be the indefinite
dyad, since it produces one unit, not a definite 2.
27. (d) How can there be other twos besides the number 2? How
can they be composed of prior and posterior units? These sup-
positions are quite fictitious. But if the conclusions are absurd, the
first principles must be wrong.
35. (3) If the units in different numbers are different but those in
the same number not different, equal difficulties follow.
10821. (a) Since the ideal ten is no ordinary number and the fives
in it no ordinary fives, the units in the one five must be different from
those in the other; i.e. the theory inconsistently with itself implies
that five of the units in ro are different from the other five.
7. If the units in ro differ, there must be other fives in 10 than
those we have named, but if so, what sort of tens do they make?
These thinkers recognize no other 10 in the number 1o.
11. They must, as we have assumed (I. 3) that they do, suppose the
number 4 to be composed of no chance twos, for they say the
indefinite dyad received the definite dyad and made two dyads.
15. (2) How can the number 2 be something apart from the two
units? Either by participation of one in the other, as ‘white man’,
which shares in ‘ white’ and in ‘man’, is apart from them, or by one
part being a differentia of the other, as ‘man’ is apart from ‘animal’
and * two-footed ’.
20. (c) The units in 2 or in 3 cannot be one by contact, mixture,
or position; there is nothing apart from the units any more than
a pair of men is anything apart from the two men. The indivisibility
432 COMMENTARY
of the units makes no difference; points are indivisible, but a pair of
points is nothing apart from the single points.
The indivisibility
432 COMMENTARY
of the units makes no difference; points are indivisible, but a pair of
points is nothing apart from the single points.
26. (d) The theory implies that there will be prior and posterior
twos, threes, &c. The twos in 4 are prior to those in 8, and generated
the fours in 8 as 2 generated ¢hem, so that,since the 2 is an Idea, they
also are Ideas. :
32. So too the units in 2 generate the units in 4, so that all the
units are Ideas and an Idea is composed of Ideas, and therefore that
of which the Idea is an Idea is similarly composite, e.g. animals are
composed of animals.
br, (ec) To make the units different in any way is absurd and
artificial ; unit differs from unit neither in quantity nor in quality, and
a number which is neither greater nor less than another must be equal
to it and identical with it; if it is not, neither will the twos in 10 be
without difference, as the theory supposes them to be.
11. (f) If one unit and another unit always make two, a unit in 2
and a unit in 3 will make a 2. Now (a) this will consist of units
differing in kind; () will it be prior or posterior to the number 3?
Presumably prior, since one of the units is simultaneous with 3 and
the other with 2.
16. We say that one and one (e.g. good and evil) always make
two; but ¢hey say that not even one unit and another unit always
make a two.
19. (g) The number 3 must surely be greater than the number 2,
but if so, it will contain a number equal to and without difference from
the number 2; which it cannot, if there is priority and posteriority
between any two numbers.
23. (#) On this view the Ideas cannot be numbers. ‘Those who say
all units are different are right in supposing this to be implied in there
being Ideas; for the Form is unique, but if units are without difference,
the twos and the threes will be without difference too.
28. These thinkers are bound to say that in’counting ‘ one, two’ we
do not add one to the original one; for then (a) generation would
not be from the indefinite dyad, and (8) an Idea would not be pro-
duced, since if it were it would contain another Idea, and all the Ideas
would ultimately be parts of one Idea.
32. Thus what they say agrees with their hypothesis ; but it destroys
many of the truths of mathematics. They will say that there is
a difficulty in the question whether we count by successive additions
of x or by constructing each number separately. But we do both; it
is absurd to suppose a separate kind of number to which the latter
process applies.
ST. ALBERT’S COLLEGE LIBRAR
M. 7. 10828— 8. 1083» 433
1083*1. (7) What is the differentia of a number, and of a unit, if
a unit has any? Units must differ in respect either of quantity or of
quality, but neither is possible. (a) If units differed in quantity, num-
bers equal in number of units would differ from each other. Are the
first units greater or less than the later? All this is absurd.
Units must differ in respect either of quantity or of
quality, but neither is possible. (a) If units differed in quantity, num-
bers equal in number of units would differ from each other. Are the
first units greater or less than the later? All this is absurd.
8. (8) They cannot differ in quality. They have no qualities, for
in numbers quality depends on quantity. They cannot get quality
either from the One, which has none, or from the indefinite dyad,
which gives quantity.
14. If units differ in some other way, these thinkers ought to have
said why this difference must exist, or at least what difference they
mean. Thus if the Ideas are numbers, the units cannot be all com-
parable, nor incomparable in either of the two ways.
Examination of the views of other Platonists and of the Pythagoreans
(ch. 8. 10832 20-» 23),
1083* 20. (Ba) The views of other thinkers are no better, viz. of
those (Speusippus) who do not believe in Ideas but in mathematical
objects, and make numbers the primary realities, and the One their
first principle.
24. For it is paradoxical that there should be a first 1, but not
a first 2, 3, &c. If only mathematical number exists, the One is not
a first principle (for if it were, it would be different from other ones,
and there must then be a two different from other twos); if the One
is a first principle, the numbers must be such as Plato supposed them,
i.e, incomparable.
35. If both Plato’s doctrine and that of Speusippus lead to impossible
results, number cannot exist apart.
by, (Cd) The worst view is that ideal number and mathematical
are the same (Xenocrates). This view falsifies the nature of mathe-
matical number, and involves further the difficulties incidental to the
belief in ideal number.
8. (Bd) The Pythagorean view escapes some difficulties by not
making number exist apart, but has peculiar difficulties arising from
the supposition that bodies are composed of mathematical numbers.
13. For there are no indivisible magnitudes, or at any rate units
have no magnitude, and therefore bodies cannot be composed of them,
as the Pythagorean view implies.
19. Thus none of the ways of treating number as self-subsistent is
satisfactory; therefore it is not self-subsistent.
2573-2 Ff
434 COMMENTARY
Aristotle first (1080 37) discusses the theory of incomparable num-
bers (which, we are told in 1083% 32, was the view of Plato). Then
(10832 20) he proceeds to the theory of Speusippus, then (1083 1) to
that of Xenocrates, and last (1083 8-19) to that.of the Pythagoreans.
IO81* i. domep Sve(Aopev, 10808 18-20, 23-35.
4. TpOTe = cidyrixG Al. 748. 1. Cf. -1080b22, and aparn dvds
1080* 26 and MN assim, mp@rov phKos, tAaTos, Babos De An. 404» 20,
eripdverar tpatar K. 1060) 13.
7. Bz.’s proposal to omit tovs is supported by |. 12, but is not
absolutely necessary. As he himself says, we may render the manu-
script reading ‘and the Ideas cannot be the numbers thus produced’.
404» 20,
eripdverar tpatar K. 1060) 13.
7. Bz.’s proposal to omit tovs is supported by |. 12, but is not
absolutely necessary. As he himself says, we may render the manu-
script reading ‘and the Ideas cannot be the numbers thus produced’.
11-12. dot’ oW0ev ... dmovaody, E.g. any of the threes in nine will
be the Idea of man as much as any other, and the uniqueness of the
Idea will be destroyed.
14. This isthe first use in the AZe/aphysics of the phrase adpucros dvas.
Doubt has been felt as to whether the phrase refers to the doctrine of
Plato, or to that of his followers. The description of the material prin-
ciple as the ‘great and small’ is certainly ascribed to Plato (cf. A. 987»
20, 26, 988813, 26). In N. 1088b 28 Aristotle says eiot d€ tes ot dvdda
pv dopictov rrovodat TO pera TOD Evds oTOLXElov, TO 8 dvicov SvoXepaivou-
ow eddAdyws 8a TA orp Baivovra ddvvata. I.e., the adoption of the
indefinite dyad as material principle seems to be described as an
amendment of the description, which we can safely ascribe to Plato,
of the material principle as the unequal. On the other hand the un-
equal and the indefinite dyad are coupled as belonging to the same
theory in N. 1088215. So, too, in 10836 23-32, N. rogob 32—
1091%5 the great and small and the indefinite dyad seem to be both
referred to Plato. Cf. Theophr. AZe/. 33, Hermodorus ap. Simpl.
Phys. 244..30—248. 18, and Al., Simpl., Syr., Asc. passim. The
reference of the indefinite dyad to Plato was doubted or denied by
‘Susemihl (Genet, Entwickl. ii. 532 ff.), Zeller in Plat. Stud. (222),
Trendelenburg (De Jd. et Num. 48-51), Heinze (Xenocr. 16-15).
‘On the strength of two passages (which are inadequate for the purpose)
Heinze maintains that the phrase originated with Xenocrates (Theophr.
Met. 11, Plut. De An. Procr. ii. 1, 2, 1012 DE). Zeller later gave up
his doubts, and there is no reason to distrust the evidence of Hermo-
dorus, Alexander, &c. In N. 1089®% 35, though the expressions ‘ great
and small’ and ‘indefinite dyad’ are distinguished, there is nothing to
show that they were not used by the same thinkers to designate the
same thing. And 1088» 28 does not tell us that ‘the indefinite dyad’
was a later phrase than ‘the unequal’, but merely that some thinkers
(Xenocrates is probably included) retained the former, while discarding
the latter because it made one of the first principles something merely
relative.
Zeller thinks that Plato described only the material principle of zdeal
and mathematical numbers as the indefinite dyad. But the silence of
MN{as§to the derivation of sensible things from it proves nothing,
since these books are not concerned with the derivation of sensible
M. 7. 10819 1-24 435
things. The PArlebus certainly describes the dzeipia as the material
cause in all oteéa, without special reference to numbers (ravta ra viv
évta év TH wavti 23.C 4). On the whole subject of the indefinite dyad
cf. Robin 641-654.
7. 10819 1-24 435
things. The PArlebus certainly describes the dzeipia as the material
cause in all oteéa, without special reference to numbers (ravta ra viv
évta év TH wavti 23.C 4). On the whole subject of the indefinite dyad
cf. Robin 641-654.
15. at dpxat kat ta otorxeta = 7d ey Kal Svas 7% ddpiotos. The
argument seems to be: ‘the only principles put forward by these
thinkers are put forward as principles of number. If, then, they are
also the principles of the Ideas, which they are clearly meant to be,
the Ideas must be (1) identical with numbers, which we have shown
they are not, or (2) prior or posterior to, causes or effects of, numbers,
which they evidently cannot be, since they are composed of a different
kind of units. Therefore the Ideas are left without any dpyai at all’.
The order of the words is against Apelt’s proposal to interpret 1. 15
‘and the principles (sc. of the Ideas) are said to be also the elements
of number’,
17. Aristotle passes now to the view according to which even the
units in one number are incomparable with one another. Considering
that this view had found no supporter (1080 8, 1081 35), the space
Aristotle devotes to it (10814 17— 33) is disproportionate.
Aristotle passes now to the view according to which even the
units in one number are incomparable with one another. Considering
that this view had found no supporter (1080 8, 1081 35), the space
Aristotle devotes to it (10814 17— 33) is disproportionate.
21-29 is a difficult piece of argument. Alexander supposes I]. 21-23
to mean that if the units are incomparable each with each, the
numerical series will be destroyed because the numbers will be all
formed simultaneously (749. 19), and this view is adopted by Robin
(note 285, iii). But this is contrary to Aristotle’s usage, according
to which ‘incomparability’ implies the very opposite of simultaneity ;
TO pev TpOTdv TL avrod Td 0 exouevov 1080®17 is synonymous with
dovpBAnros ib. 19. Alexander, continuing to misunderstand the
passage, thinks that Aristotle should have said (1. 23) 7 yap dua ai...
povddes yevvvrat 7) ody dua. This means that Alexander is quite at
sea. Bz, perceives the general nature of the argument as it stands in
the received text, viz. that Aristotle offers two proofs to show that the
supposition of units incomparable each with each is contrary to the
Platonic view of ideal number as forming the series 1, 2, 3, 4, &c.
(ll. 21-23), one proof being given in Il. 23-25, another in Il. 25-29 ; and
that really what Aristotle professes to show (that ovx éorai 7 dvas tpatn)
is proved only by the second proof. The argument can be made
right by the alteration of one word—by reading ézeé for éreira in |. 25
(éxevra has probably come in through the influence of érera in |, 22).
Then the argument runs thus: ‘For the two will on this hypothesis
not proceed first from the one and the indefinite dyad, and then the
other numbers, as the Platonists say “2, 3, 4””—for they generate the
units in the first (i.e. the ideal) two simultaneously—since if the one
unit in the two were prior to the other (as it must be, on the hypothesis
of incomparability, cf. ro80 17, 19), it would be prior also to the two
which is composed of them. Thus the order would be not, as they
say, I, 2, 3, 4, but 1, first unit in 2, 2, second unit in 2, first unit in
3, &c. For the combination éret ei cf. 10874 21.
24. 6 mptos eimdy, sc. roy TOV ciddv dpiOuor etvai (cf. 1.21), A com-
Ef 2
436 COMMENTARY
parison with 1086411, N. rogo>32, where Aristotle is referring to
a doctrine which marks Plato off from Speusippus and Xenocrates
(cf. 1076% 19-21 nn.), shows that here also Plato is meant.
10874 21.
24. 6 mptos eimdy, sc. roy TOV ciddv dpiOuor etvai (cf. 1.21), A com-
Ef 2
436 COMMENTARY
parison with 1086411, N. rogo>32, where Aristotle is referring to
a doctrine which marks Plato off from Speusippus and Xenocrates
(cf. 1076% 19-21 nn.), shows that here also Plato is meant.
ef dviowy (icac0évrwy yap éyévovto). The unequals are the great and
the small (1083 23, N. rog1%24). Plato, according to Aristotle,
represented the One as producing the units in 2 by equalizing the
great and the small. But Aristotle speaks with some hesitation as to
how this was done (1083 23-25). It is noteworthy that the material
principle is never spoken of as ra dvuca but always as 76 avicov, and
it seems probable that Plato did not think of two things, the great and
the small, but of one thing, the great-and-small, i.e. indeterminate
quantity, and that he represented this as simply being determined into
the successive numbers by the operation of the One or formal principle.
Cf. Introduction, Ixi f.
30-31. Tv dAd\wv . . . éxeivo, sc. the first unit in 2.
31-32. tpitov ... ev, sc. the second unit in 2.
32. The principal clause begins irregularly with dore, as often in
Aristotle. Cf. 2nd, Ar. 873° 31-44.
33. The reading of AP Al., zAéxovrar, would require a strange per-
version of order, the antecedent of dy being then ai povades. The
reading of EJ}, Néyovrat, gives an excellent sense and must be adopted.
‘The units will be prior to the numbers after which they are called ;
the third unit (i.e. the second unit in 2) will be prior to the number 3,
and so on.’
byi-g. tds te yap... mpatov. ‘It is natural that there should be
prior and posterior units, if there is also a first unit or first one ’—sc.
the ideal one.
6-8 is a parenthetical recurrence to the point made in ® 21-29,
8-10. It is doubtful whether Aristotle’s attack is quite fair. The
Platonists spoke of the Ideal One as the first One not in the sense that
it was the first member of a series of units, but in the sense that it was
the principle of the whole class of units. The word ‘first’ is ill-
chosen, since it seems to make the universal a member of the class
which it constitutes; but there is not necessarily any serious confusion
in the thought.
12-14. ‘Whether the units are without specific difference or not,
number must be counted by addition’, i.e. each number must be
arrived at by adding 1 to the previous number. This is a successful
enough appeal to common sense, but is something of a petrtzo principir.
The Platonists simply denied the premise that the numbers were reached
by addition, and gave quite a different account of their generation.
17-19. ‘The numbers cannot be generated as they try to generate
them, out of the indefinite dyad and the One; for three is generated
not from the indefinite dyad and the One but from the number two
and a unit.’
17-19. ‘The numbers cannot be generated as they try to generate
them, out of the indefinite dyad and the One; for three is generated
not from the indefinite dyad and the One but from the number two
and a unit.’
21. aX’ does not, as Al. 753. 9 and Bz. suppose, introduce
a possible objection to the previous argument. It points out the con-
tradiction between the actual facts (Il. 18-20) and the Platonic account
M. 7. 1081430 — 10827 II 437
(ll. 21, 22). Jaeger’s addition of «i is ingenious, but not strictly
necessary.
22-26. ‘If the two 2’s in 4 are not distinct from the 2 itself, 4 will
be composed of the 2 itself and another 2, and similarly 2 of the One
itself and another one; so that the element other than the One itself
will not be (as they said) the indefinite dyad, since the second element
generates one unit (the second unit in the 2), not (as the indefinite
dyad does) a definite dyad.’
According to the Platonic account (as represented by Aristotle) the
indefinite dyad ‘received the definite dyad and made two —
(1082* 13).
27-33. Aristotle passes here from particular arguments to a general
protest against the absurdity of the position created by supposing all
units, even those in the same number, to be incomparable.
30. dromd. Alexander (754. 12) and Syrianus (131. 1) may have
read advvata, or this may be their interpretation of déroma. For drora
kat tAacparwdn and for the meaning of wAacparwdy cf. 1082) 2—4.
BI. dvdyxn 8 wth. I.e., if each number is derived not (as common
sense says) from the previous number by the addition of 1, but (as the
Platonists say) from the One and the indefinite dyad, each number is
as it were a special creation, differing in kind from all others, and thus
we get an ideal two, an ideal three, &c.
1082? 1. otov ydp, ‘for, for example’.
2-4. What does Aristotle mean by saying that the ‘ 10 itself’ is not
any chance number nor composed of any chance 5’s or units? The
meaning Seems to be that, the ro itself being an ideal number, the
numbers contained in it must be numbers of a special kind, viz. ideal
numbers, just as the units in it are supposed by these thinkers to be
of the special type described in 1081 35-37. Now two Ideas cannot
be specifically the same; therefore the two 5’s in 10 differ specifically ;
and therefore the units in them differ specifically; thus five of the
units in 10 differ specifically from the other five, which is contrary to
the hypothesis we are examining. ‘There seems to be no allusion to
the presence of numbers other than 5 in ro (Al. 755. 12), nor to the
specific difference between ro and the 5’s in it (Bz.).
‘There seems to be no allusion to
the presence of numbers other than 5 in ro (Al. 755. 12), nor to the
specific difference between ro and the 5’s in it (Bz.).
7-11. In Il. 8, 9 (after ay), ro it is not clear (as Bz. thinks) that
Alexander read écovrar; it seems better to keep the reading of all the
good manuscripts, évécovrar, which Alexander may be merely misinter-
preting. év 7 dexdév in |. 11 rather confirms évécovra, and quite a good
interpretation may be given to the word. If the units in the 10 differ
specifically, will there be no other 5’s in the ro than the two already
mentioned? (1) We can hardly suppose that there are not. Aristotle
does not say why, but the reason obviously is that if you take, say,
three units from the first 5 and two units from the second, you will
get a new 5 different from the original two. (2) If there are. these
other 5’s in the 10, what sort of 10 will they constitute? Apparently
another ro in the 1o itself, but the Platonists do not suppose that
there is any such thing.
438 COMMENTARY
11-15. Aristotle now proceeds to confirm what he has already used
as a premise (I. 3), viz. that the 10 itself is not composed of any
chance 5’s, He infers the.mode of composition of the ro from the
mode of composition of the 4. This, according to the Platonists, is
not produced by successive additions of specifically like units, but by
the action of the indefinite dyad, which received the definite dyad or
‘2 itself’ and made two dyads.
For a similar use of d\Aa pay... ye confirming a view of the
opponent’s position which has already been stated ( they not only say So
but they must say so’) cf. T. 1007» 20-29 éorat yap 76 aiTo fal Tpunpyns
kal Totxos Kal dvOpwros, ei Kara mayTos TH Katapio ou 7 dropinr at
évoexerar . . » GXAD py AexTéeov Y adrois Kata mavTds (ravTos) THY
Katapacw % THv arodacw.
13. AaBotoa, ‘having received’, not ‘having taken’. The material
principle receives the formative principle as the female receives the
seed, which is the formal principle of generation. For the analogy
cf. A. 987> 339882 ¥, and for the literal sense of AapPavew cf. H. A.
559° 8, 577° 31, 32, 578% 14, 6329 28.
17-20, The union might be of the nature (a) of the accidental
union of a subject with an attribute, or (0) of the intimate and essential
union of genus with differentia, For the difference cf. Z. 1030% 11-14,
1037 13-21.
17. The manuscript reading pebééer Oarépov Garepov (‘ one will partici-
pate in the other’) does not offer a grammatical parallel to the other
alternative 7 dray 7 xrA. Christ is therefore right in proposing peOeger
Barépou Sarépou (‘ by participation of one in the other’).
18. petéxer yap todtwy. We should expect peréxer yap 6 avOpwros
Tod AevKod, answering to pebeée Garépov Oarépov. But Aristotle is not
careful about consistency of expression where his general meaning
is clear.
18. petéxer yap todtwy. We should expect peréxer yap 6 avOpwros
Tod AevKod, answering to pebeée Garépov Oarépov. But Aristotle is not
careful about consistency of expression where his general meaning
is clear.
20-21. As instances of things which are ev addy, pige, Pere. Alexan-
der mentions a bundle of sticks, mead, and the stones in a house. igus
means complete fusion ; the distinction between ady and Ogois is not
so clear, but probably ag@y means mere contact which may be
accidental, while @éo1s does not necessarily imply contact but does
imply intentional arrangement. Cf. H. 1042> 15-20.
30-31. ‘As the definite or ideal 2 produced (by co-operation with
the indefinite dyad) the 2’s in 4, so these 2’s (again by co-operation
with the indefinite dyad) produced the two 4’s (more strictly, the four
2's) in 8.
gi—>1. The argument in ll. 26-31 was directed to showing that some
2’s are prior to others. But in the course of the argument Aristotle
showed that the 2’s in 4 discharge a function analogous to that of the
ideal 2. He now draws another inference from this, viz. that there-
fore they also must be Ideas. And so, too, will be the units in the
ideal 2 which similarly (by co- operation with the indefinite dyad) pro-
duce the units in 4. Thus the units in any number are Ideas.. Ideas
will be composed of Ideas. The Idea of one animal will contain the
M. 7. 10828 11 —1082 37 439
Ideas of other animals, and therefore one animal itself will contain
other animals.
Jaeger points out that E1JA» read idea: after duds in 1. 32 (he infers
from Al, 758. 21 that Alexander also read id€a; but 758. 25 has
idéa). He concludes that 4 zpury terpas has dropped out before kai 7
mporn duds. But the argument in Il. 28-32 is that the dyads in 4,
since they generate the tetrads in 8 as the first dyad generates them,
must be Ideas as much as the first dyad; a reference to the first
tetrad would be out of place. id¢a: has come in because the eye of the
writer of the archetype travelled on to idéa: later in the line. For the
idiomatic xaé before 7 mparn duds cf. N. 1089® 16.
bi, et toUtwy iSéa. eiciv. Christ’s suspicion of these words seems
quite unfounded, and it seems clear that Alexander read them (759. 4).
They may be taken in either of two ways. -(1) We may render ‘if
there are Ideas of animals’, or (2) we may take ofov . . . Ggwy as
parenthetical and render ‘if the Ideas are Ideas of the sensible
things’.
6. povadixor, cf. ro80b1gn, Aristotle means that while as regards
two concrete groups we might find some difficulty in admitting the
disjunction ‘they are either equal or unequal’, we can find no difficulty
about two abstract numbers.
6. povadixor, cf. ro80b1gn, Aristotle means that while as regards
two concrete groups we might find some difficulty in admitting the
disjunction ‘they are either equal or unequal’, we can find no difficulty
about two abstract numbers.
11-16, From the premise that if we add one unit to another we
always get a 2, two objections to the view here attacked follow : (1) the
2 thus formed will be composed of units specifically different, which
contradicts the view in question; and (2) it will be hard for the
thinkers in question to say whether it is prior or posterior to the 3.
* It would seem more likely to be prior, since one of its elements is
prior to and the other simultaneous with the 3. Why then should the
Platonists not say that it is prior? Aristotle does not say why, but no
doubt he means that it will be awkward for them thus to put a number.
between 2 and 3.
21-22. Sijdov.. . eveore TH Sudds. ‘Clearly there is in 3 a number
equal to 2.’
22-23. ‘But the 2 in 3 cannot be equal to the 2 itself, if there is a
first and a second number ’, i.e. if 2 and 3 are numbers qualitatively
different from one another. Cf. 1080417, 19, where 70 ev mparov te
abrod (i. €. rod dpiOuod) 7d & exdpevov is synonymous with dovpBAyros.
23-24. ‘Nor will the Ideas be numbers,’ sc. as common sense
understands numbers.
26. mpdtepov, 10813 5-17.
28-30. ‘ For which reason they must say that when we count thus,
“1, 2”, we do not do this by adding 1 to the previous 1.’
32. mdvra Ta eldy Evds pepy, i.e. all the Forms would be parts of
the Form which is the largest number.
34-37. Alexander’s commentary (762. 17—763. 3) may be sum-
marized thus: ‘ The Platonists raise this difficulty, whether when we
count “1, 2”’ we count by addition or by successive divisions of ro.
They say we cannot do so in either way; not in the former because
440 COMMENTARY
then we should be treating the units as comparable, and not in the
latter because then we should make the Idea of 10 contain the Ideas
of the smaller numbers. We must confine both addition and division
to mathematical number, and recognize ideal. number as otherwise
produced. But we actually count, says Aristotle, in both ways. If
the number is definite, like 8, we divide it into its proper parts; if it
is indefinite we add unit to unit till we reach the number we wish to
determine. But what does he mean by indefinite number? Perhaps
he’means that the numbers included in 20 are indefinite and of the
nature-of matter relatively to 20. And so, he says, it is absurd on
the strength of this superficial dzopia to say that each of the numbers
is a separate Idea and substance’. Bz. seems right in supposing that
Alexander -had before him words which do not exist in our text (cf.
especially 762. 32 d\AG w&s aopicrov etre Tov dpiOuov;); and there are
traces of something similar in Syr.
Bz. seems right in supposing that
Alexander -had before him words which do not exist in our text (cf.
especially 762. 32 d\AG w&s aopicrov etre Tov dpiOuov;); and there are
traces of something similar in Syr.
As regards xara pepidas Alexander’s interpretation is probably
guesswork. A better interpretation has been suggested by Apelt. He
quotes, for the meaning of pepis, Plut. Quaest. Conv, il. 2.644 C Ta
Sdypooa detrva pos pepida yiyverGa, which means ‘to be served
separately by portions, so that each guest has his separate dish’.
Aristotle’s point seems to be this: The Platonists deny many of the
accepted truths of mathematics (for roAAa dvaipotow cf. 1086% 9).
E.g. they think they will put us in a difficulty by asking us whether
we count by addition or by separate portions, i.e. constructing each
number independently. If we say ‘by addition’, they will answer
‘then you are not grasping the nature of abstract number’; if we say
‘by separate portions’, they will answer ‘then you are already
admitting a number other than mathematical number’. But in fact
we can regard the process in either way; it is absurd to rest the
doctrine of two entirely different kinds of number on so superficial an
dzropia.
10837 1-2. Aristotle’s own view is that numbers have a differentia,
but units have not.
4. The grammar requires émdpxew (which Alexander seems to
have probably read, 763. 9) instead of the manuscript reading
brapxov.
GAN’ 7 dpiOuds, KaT& td woody, ‘but number gua number differs in
respect of guantily’.
Q-I0. o00ev yap... mdBos. Cf. De Caelo 299% 17, where Aristotle
remarks that indivisibles cannot have zd@y because all za6y are
divisible.
11. By the quality of number Aristotle means such attributes as
compositeness ()( primeness) and being ‘plane’ or ‘solid’ (having
two or three factors); cf. A. 10203. These attributes, according to
Aristotle, attach to a number in virtue of its quantity.
12. THs Suddos, the indefinite dyad.
13. Bz.’s reading wogorovdy is evidently right, though it is read only
by Syr. and the second hand of E. The word seems to be a hapax
M. 8. 10832 1 — 1083 20 44h
legomenon, but dvorrows ( 36, 1082%15) supplies an analogy, and the
play on words supplies a motive, for the coinage.
17-19. 61 ... pavepdv summarizes 1081 5-17; IQ-20. oUTe..
tTpomwy Summarizes 10819 17—» 35, » 35108317.
20-1, Aristotle here passes from Plato’s views (cf. ].-32) to discuss
those of Speusippus. Cf. 10764 20-21 n.
24-27. Aristotle shows that Speusippus was inconsistent in that
while retaining as the formal cause of number the One, conceived as
a. separate substance and distinguished from mathematical units (cf.
Z. 1028» 21 n.), he did not similarly believe in a Two or Three dis-
tinguished from the many twos and threes of arithmetic.
separate substance and distinguished from mathematical units (cf.
Z. 1028» 21 n.), he did not similarly believe in a Two or Three dis-
tinguished from the many twos and threes of arithmetic.
32. domep MAdrwv eXeyev is important as showing that the whole
discussion in 1080 3y—1083* 17 was a discussion of Plato’s views
rather than of those of his followers. _Speusippus is discussed much
more briefly in 1083% 20—» 1, and Xenocrates in » 1-8. The imperfect
tense indicates that Aristotle is thinking of Plato’s lectures rather than
of published works. ‘This is the only reference to Plato by name in MN.
35: cipy tat, 1080P 341083" 17.
2. 6 tptros tpémos, that of Xenocrates, 1080) 22, 23. Aristotle
omits here the view of aAAos tis (1080? 21) that ideal number is the
only number that exists.
6. pnkivew, cf. N. Togo? 29 core & od xaXerov brovacoty imobécets
AapBavovras prakporovety Kal ouvelpeuy. As Robin remarks, Xenocrates’
prolixity on mathematical matters is indicated by the list of his works
in Diog. Laert. iv, 2. 13.
8. Aristotle now recurs to the Pythagorean view (1080? 16-21),
which agrees with that of Speusippus in believing only in mathematical
number, and differs from all the Platonic views in regarding numbers
as the stuff out of which things are made.
8-9. Ti pev... cipnpévav. The Pythagorean view avoids the mis-
takes implied in separating the substance of a thing from the thing
itself (Z. 6).
13-19. The argument is as follows:
There are no indivisible magnitudes (proved in De Gen. et Corr.
315” 24—3177 17).
Or at least units (numerical indivisibles) have not magnitude.
And a magnitude cannot consist of indivisibles.
But arithmetical number consists of units, which are indivisibles.
Therefore real things, which are magnitudes, cannot consist of
numbers. ,
But these thinkers apply arithmetical theorems directly to real
things, and imply that real things consist of numbers.
Alexander illustrates this by saying that they thought body: in
general was composed of ae number 210, fire of the number 11, air of
13, water of 9
20. tav cipypévay tpdmwv, sc. those enumerated in 10804 15—) 36
and refuted in 1080 371083? 19.
442 COMMENTARY
ARGUMENTS AGAINST ALL THEORIES OF SELF-SUBSISTENT NUMBER
(ch. 8. 1083 23—9. 1085? 34).
(1) How are the numbers produced from-the matertal principle ?
1083 23. Is (a) each unit derived from the great and the small,
equalized, or (4) one from the small, another from the great? If (6),
then (a) the elements are not all present in everything ; (8) the units
are not without difference in nature; (y) what of the odd unit in 3?
Perhaps this is why they make the One itself occupy the middle place
in odd numbers.
30. If (2), then (2) How will 2 be a single entity? How will it differ
from a unit? (8) The unit is prior to the two and therefore must be
an Idea of an Idea. And it must have been generated before the two.
From what, then? Not from the indefinite dyad, for this makes not
units but twos.
30. If (2), then (2) How will 2 be a single entity? How will it differ
from a unit? (8) The unit is prior to the two and therefore must be
an Idea of an Idea. And it must have been generated before the two.
From what, then? Not from the indefinite dyad, for this makes not
units but twos.
(2) How many tdeal numbers are there P
36. Number must be either infinite or finite, if it is self-subsistent.
But (a) it cannot be infinite. For (a) infinite number is neither odd
nor even, but the generation of numbers whether by addition or by
multiplication is always either of odd or of even numbers.
1084* 7. (8) If every Idea is an Idea of something, and the numbers
are Ideas, infinite number will be an Idea of something, which is
neither possible on their theory nor reasonable in itself.‘
ro. (4) If number is finite, how far does the series go? They
should tell us both how far it goes, and why it goes just so far. If it
stops at 10, then (a) the Forms will soon run short. E.g. the kinds of
animal will exceed the numbers up to ro.
18. (8) If the number 3 is the Idea of man, then all the other threes
will be Ideas of man, or at any rate men ; thus there will be an infinite
number of men.
21. (y) If the smaller number is a part of the greater when composed
of the addible units contained in a single number, then if the. horse is
4 and man is 2, man will be a part of the horse.
25. (6) It is absurd that there should be an Idea of ro and not of rr.
27. (e) There are, and come to be, things of which there are not
Forms. The Forms, then, are not the causal agencies.
2g. (¢) It is absurd if the number-series up to ro is more of an
entity than 10, though never generated asa unity. Yet they treat the
series up to ro as a complete number. At least they generate the
M. 8. 1083>— 9. 1085? 443
succeeding entities, the void, proportion, the odd, &c., within the series
up to 10, assigning some to the first principles, others to the numbers.
Further, they identify spatial magnitudes (lines, &c.) with numbers
short of ro.
(3) What ts the nature of the One?
» 2g. If number is self-subsistent, is 1, or 2, 3, &c., prior? Inasmuch
as the number is composite, the one is prior ; inasmuch as the universal
or form is prior, the number is prior, being to the units as form to
matter.
47. The right angle is in a sense prior to the acute, viz. in definition
and because it is determinate ; the acute angle is in a sense prior,
because it is a part of the right angle. The acute angle is prior as
matter; the right angle which is the union of form and matter is prior
because nearer to the form.
13. How, then, is the One a first principle? ‘ Because it is indivi-
sible.’ But both the universal and the particular or element are
indivisible. ‘They are first principles in different senses, however; the
former is first in definition, the latter in time. :
13. How, then, is the One a first principle? ‘ Because it is indivi-
sible.’ But both the universal and the particular or element are
indivisible. ‘They are first principles in different senses, however; the
former is first in definition, the latter in time. :
18. They make the One a first principle in both ways. But this
is impossible; it cannot have the primariness both of form and of
‘matter. Both the number and the unit are in a sense one, but if the
number is actually one (not a mere aggregate), the units exist only
potentially. .
23. The cause of the mistake is that they were inquiring from two
points of view, that of mathematics and that of general definitions ;
from the former they treated the One (i.e. the first principle) as a
point, merely divested of position, a minimal material part analogous
to the atoms, while from the latter they treated the unity which is
predicated of each number as a formal element in the number. These
characters, however, cannot belong to the same thing.
32. But if the One must only be without position, differing from the
unit merely by being a first principle, and the number 2 is divisible
while the unit is not, the unit is liker the One than the number 2 is,
and therefore each unit in 2 is prior to 2. But they generate the
number 2 first.
1085* 1. Further, if the number 2 is one thing and the number 3 is
one thing, they make, together, a 2. What, then, is the origin of
this 2?
3. Does the number 2, or one of the units in it, come next after 1?
444 COMMENTARY
(4) Défficulties about the first principles of geometrical objects.
7. Similar difficulties arise about the genera posterior to number—
the line, the plane, the solid. (a) Some derive them from the kinds of
great and small, lines from the long and short;splanes from the broad
and narrow, solids from the deep and shallow. There is a difference
of opinion about the formal principle answering to the One.
‘14. These views involve many impossible results. (i) Lines, planes,
and solids are cut off from one another, unless their first principles go
together so that the broad and narrow is also long and short (in which
case the plane would be a line and the solid a plane).
20. (ii) The same difficulty arises as with regard to number ; long,
short, &c., are atirzbudes of spatial magnitude, not the ma/ter of it, any
more than straight and curved are.
(23. We may put the same difficulty that arises with regard to
species when we posit the existence of universals, viz. whether it is
‘animal’ itself or some other ‘animal’ that is present in a particular
kind of animal. Similarly if the One and the numbers are self-
subsistent, is the unit which we recognize in a number the One
itself ?)
gi. (4) Others derive magnitudes from the point (which is akin to
the One) and an element akin to plurality. The same difficulties
follow.
Similarly if the One and the numbers are self-
subsistent, is the unit which we recognize in a number the One
itself ?)
gi. (4) Others derive magnitudes from the point (which is akin to
the One) and an element akin to plurality. The same difficulties
follow.
35. For (i) if the matter is-one, line, plane, and solid will be the
same ; (ii) if it is different, the matters either go together or not, so
that the plane either will not contain a line or will be a line.
(5) Lhe difficulty of generating numbers and spatial magnitudes
~ as the Platonists generate them.
b4. The difficulties which attend the great and small as material
principles of number, attend plurality also if this be taken as the.
material principle (Speusippus). One thinker generates number from
the plurality which is universally predicated, the other generates it from
a particular plurality, viz. the first (the dyad). (@) In both cases we
may ask whether the elements are united by mixture, position, fusion,
generation, &c.
12. (4) Each unit must be composed of the One and either plurality
or a part of plurality. Now the unit, being indivisible, cannot be
a plurality, while if its material element be a part of plurality, (a) each
of the parts must be indivisible, and it is not, as they say, plurality, but
M. 8. 1083) 23 445
a part of it, that is the material principle ; (8) number is being derived
from a plurality of indivisibles, i.e. from another number.
23. (c) We may inquire with regard to these thinkers too, whether
that number is infinite or finite. There was a finite plurality from
which the finite units were derived, and there is another ‘ plurality itself’
which is infinite plurality. Which kind. of plurality is the first
principle?
27. (d) Similarly (cf. * 32-34) a point cannot be derived from the
‘point itself’ and an interval, nor from the ‘ point itself’ and an indi-
visible part of an interval ; for spatial magnitudes are not, like number,
composed of indivisibles.
SUMMING UP OF CRITICISM OF IDEAL NUMBERS °
(ch. 9. 1085 3410868 18).
1085” 34. These objections show that number and spatial magni-
tudes are not self-subsistent, as is shown also by the diversity of views
about numbers, (1) Those who believed only in the objects of mathe-
matics (Speusippus) did so because they saw the difficulties about the
Ideas.
1086? 5. (2) Those who thought of the Ideas as numbers, and did
not see how, if the first principles are what they suppose them to be,
mathematical number could exist apart from ideal number (Xeno-
crates), made them the same in name, but really did away with
mathematical number.
11. (3) The first thinker who held that Forms existed and were
numbers, and that mathematical objects existed (Plato), naturally
separated them.
13. All are partly right and (as their mutual contradictions show)
partly wrong. Their error springs from the wrongness of their
assumptions.
11. (3) The first thinker who held that Forms existed and were
numbers, and that mathematical objects existed (Plato), naturally
separated them.
13. All are partly right and (as their mutual contradictions show)
partly wrong. Their error springs from the wrongness of their
assumptions.
1083” 23—1085? 34. So far Aristotle has distinguished the various
modes of conceiving numbers as substantial entities, and has criticized
them separately. Now he attacks the general view which was common
to the Pythagoreans and the Platonists, no longer drawing the distinc-
tions drawn in 1080 15—1083? 19. His criticisms from now onwards
may best be classified not according to the thinkers attacked but
according to the subjects on which he attacks the whole of the two
schools. These fall, as Bz. has pointed out, into five groups.
(1) 1083>23-36. How are the numbers produced from the
material principle ?
(2) 1083” 36—1084" 2. How many ideal numbers are there ?
446 COMMENTARY
(3) 1084 2—-10852 7. What is the nature of the One?
(4) 1085° 7—- 4. On the principles of geometrical objects.
(5) 1085» 4-34. On the difficulty of generating numbers from unity
and multitude, and spatial magnitudes from similar principles.
23. Aristotle begins with a difficulty arising out of Plato’s (cf. 1081
24) description of the units in the ideal two as produced through
the equalization of the great and small by the One. Aristotle
appears, as Bz. points out, to have misconceived the nature of the
Platonic material principle. It was no doubt conceived as a principle
which was both great and small; i.e., it was indeterminate quantity.
But Aristotle habitually speaks of the great and /he small as if they
were two distinct principles, and his argument here turns entirely on
this point. We may note a significant looseness in Aristotle’s way of
referring to the principle. Sometimes (and, we must suppose, more
correctly) it is 7d peya Kal puxpor, e.g. B. 998 10, M. 1083> 32,
10852 12, N. 1087» 8. At other times it is 76 peya Kal 76 palkpor, @.g.
A. 987» 20, 988 26, M. 1083? 27, 10852 9, N. 1087 11, 14, 16, and
this is what the argument here requires.
28-30. ‘ Further, what account can the Platonists give of the units in
the ideal Three? One of them is an odd unit and cannot be assigned to
the great or to the small (since these produce only one unit each); which
is perhaps why they make the ideal One the middle unit in odd numbers.’
For the fact that they did so cf. Diels, Vorsokr.’ 270. 18. And why
should they not? we might ask. Aristotle’s answer would doubtless
be that if they make the One a purely formative principle in the case
of even numbers, they have no right to make it one of the material
elements of odd numbers. We can hardly suppose, however, that
they did this ; it is more likely that they represented the One as a sort
of arbiter (cf. Al. 767. 17 tv THs povddos peciteiav) between the
tendencies to excess and to defect.
We can hardly suppose, however, that
they did this ; it is more likely that they represented the One as a sort
of arbiter (cf. Al. 767. 17 tv THs povddos peciteiav) between the
tendencies to excess and to defect.
30-32. ‘If each of the units in the ideal Two comes from both the
great and the small, these being equalized, how will the ideal Two be
a single entity composed of the great and the small? Or how will it
differ from one of its units?’, sc. if each of the units turns out to be
what they describe the ideal Two as being, viz. what is produced by
the co-operation of the One and _ the-great-and-the-small (which
dvorows jv |. 36).
36. ddpiotos Suds. Robin quotes this as one of the few passages
definitely relating to Plato in which this term is used. The other
passages he cites are N. 1088815, 10915, besides various places in
later writers (Robin, 643-5).
37. xwptotov yap morodor. Aristotle holds that if you regard number
as a separately existing substance, you have to say that it actually is
finite or that it actually is infinite, and both alternatives are impossible ;
he believes himself to escape the difficulty by holding that number does
not exist as something given for all time, but only in the process of
counting, and that it is potentially infinite in the sense that, however
high a number has been counted, a higher can be counted. Acdrerau
M. 8. 10835 23 — 1084? Io 447
Suvdper eivar TO dreipov Phys, 206% 18,133 ovrws orl 7d dzreipov, TO
det GAXOo Kat GAA AapBaverGar 206% 27: it is not a rode Tu like a man
or a house but like a day or a contest, whose being is not that of
a substance but is always in course of destruction or generation.
10842 4-7. The peculiar words wimrew, éumirrew (not elsewhere
found in Aristotle, nor, perhaps, in other authors, in this connexion)
are probably Academic terms to express the mode of generation of
numbers. ‘There are three cases:
(1) By addition (dt pev) of 1 to an even number an odd number
is produced.
(2) By multiplication (dt dé) (z) of 1 by 2 a power of 2 is pro-
duced,
(4) of an even number by an odd number, an even number not
a power of 2 is produced.
eis TO ev is apparently to be supplied with éuaurrovays, being under-
stood from 6 ad’ évos durdAacalopevos, while with di 8& rév wepurrav
we must supply in thought the eis tov dptiov of ll. 4,5. The main
opposition is that between generation of numbers by addition and by
multiplication, the latter being subdivided. Accordingly Aristotle says
Gd d€ THS ev Svados, Meaning to continue with ray dé repirtav. But
by an oversight he continues with wot d¢ tév qwepittav.
Alexander offers a more elaborate classification, which doubtless
preserves some real information about the Pythagorean and Platonic
arithmetic (cf. Heath, Gk. Math. i. 71-74). According to him every
genesis of number is
(1) dpridkis dpa (powers of 2, = (2 a) above), or
(2) dpriomépiacos (products of an odd number and 2), or
Heath, Gk. Math. i. 71-74). According to him every
genesis of number is
(1) dpridkis dpa (powers of 2, = (2 a) above), or
(2) dpriomépiacos (products of an odd number and 2), or
(3) mepuroaprios (products of an odd number and 4 or a higher
power of 2), or
(4) apy kal dovvberos (prime numbers), or
(5) Sevrépa kat avvOeros (composite odd numbers), or
(6) kal?’ éavrnv pev devrépa Kat ovvOeros mpos adAov 8é ‘pity Ka
dovvOeros (pairs of composite numbers which are prime to one
another). ;
Alexander supposes that (1), (2 2), and (2 2) of Aristotle’s classifica-
tion are identical with (4), (1), and (2) of his own, and that Aristotle
omits the rest dia Bpaxvdoyiay (769. 21). But it is evident that a com-
plete classification is necessary to Aristotle’s purpose. Aristotle’s (1)
includes Alexander’s (4) and (5); his (2 4) includes Alexander’s (2)
and (3); and Alexander’s (6) has no proper place in the classification,
since it depends on a relation between two numbers, not on a quality
of one. -
Q. ote Kata tiv Odow évBdxeTat, i.e. it is incompatible with the
notion of the Idea as a principle of limit; ote kata Aédyoy, i. e. it is
unreasonable in itself, since it implies the existence of an actual
infinite.
10, tdtrovci y oltw tds iS€as. The manuscript reading (rérrovor
5 otrw ras ideas) can hardly mean, as Alexander supposes, ‘ but they
448 COMMENTARY
limit the series of ideal numbers to 10’. Since this is not mentioned
till 1. 12, it cannot be what otrw means here. The word would have
to refer to 1, 7, and mean ‘but they conceive of the Ideas as Ideas of
something, and of the numbers as being Ideas’. Schwegler’s emenda-
tion is undoubtedly right ; raérrovoi y' crv. = ‘i.e. for those who arrange
the Ideas as they do’, i.e. identifying each Idea with a finite number.
-12, ei péxpe tis Sexddos 6 dpiOuds. Cf. ll. 25-34, N. 1088) 10,
A. 1073219 ot A€yovtes ideas wept... THY GpiOpGv dre pev Os Tept
dmeipwy A€yovow Ste dé ds pexpr THS dexddos dpirpevwv. In Phys.
-206> 32 the doctrine is ascribed to Plato by name: péxpu yap dexados
move’ Tov dpiOudy. Speusippus is probably also referred to (ch Z.
1028> 21 n.). The origin of the view is of course to be found in
the fact that the Greeks used a decimal system and in the reverence
paid by the Pythagoreans to the number 10; cf. A. 986*8 and
Philolaus fr. rr Diels. to was the sum of the first four numbers, the
terpaxtvs, Which had a special significance because they were the
principles of the point, the straight line, the triangle, and the tetra-
hedron respectively.
15. Bz. (dnd. Ar. 12575) takes aité as predicate ; ‘each number up
to 10 is a thing-itself (an Idea)’; cf. Zop. 162° 28. It seems better to
take aird Exaoros dpiOds together = 6 cidytixds apiOuds, as Alexander
does (770. 23), and péxps dexddos as predicate. atrd éxacros apiOpds
= ‘the series of numbers which are the several things-themselves (the
Ideas of the several things)’. For atré exaoros cf. Top. 162° 24, £. NV.
1096? 35.
23), and péxps dexddos as predicate. atrd éxacros apiOpds
= ‘the series of numbers which are the several things-themselves (the
Ideas of the several things)’. For atré exaoros cf. Top. 162° 24, £. NV.
1096? 35.
16. tav év tovTois dpOuav is usually interpreted as ‘the numbers
within ‘these limits’, i.e. between 1 and ro. But on this view what is
the point of dAX’ pus (1. 17)? That suggests that in spite of there
being a /arge variety of numbers to choose the Ideas of different kinds
of animals from, there would not be enough. Now the notion of
numbers contained in other numbers is clearly in Aristotle’s mind (cf.
Il. 18, 19 and notes) and is expressed similarly by év. May it not be
that Aristotle uses év rovrous in a double sense? ‘The Idea of horse ©
must be one of the numbers contained in these, i.e. either one of the
numbers between 1 and ro, or one of the numbers contained in those
between 1 and 10,’
18-21. There is little to be said for Christ’s transposition of this
section to]. 25. ovrws refers quite as naturally to |. 14 as it would
to 1. 22 (6 ek rév ovpBAyrov povddurv).
18. at adda tpiddes. Alexander explains this (770. 30) as ai tpuades
THs avtoeEddos Kal trav NowrHv, and similarly Bz. thinks the 3’s included
in the other ideal numbers (cf. 10824 2, 28, » 13) are meant. Against
this Robin argues (p. 351, n. 7) that on the view here criticized the
ideal numbers are limited to ten, and the ‘ other 3’s’ in these will be
only 14 in number (1 in 4, 1 in 5, 2 in 6, 2 in 7, 2 in 8, 3 ing, 3 in
10), so that the conclusion depo. éoovrar avOpwrot (1. 20) will not
follow. He therefore supposes Aristotle to be now taking account of
mathematical numbers, which are not limited to 10, and saying that
M. 8. 10842 12-30 449
each 3 contained in them, since it is like the ideal 3, will be some sort
-of a man, even if not an ideal man. We may either suppose this, or
suppose Aristotle to be taking account of a further complication within
the series of the ideal numbers. Besides the 14 3’s of which Robin
takes account, there will be the 3 which is in the 4 which is in the 5,
the 3 in the 4 which is in the 6, the 3 in the 5 which is in the 6, the 3
in the 4 in the 5 in the 6, &c. A list which may fairly be called
dreipov is thus produced.
Besides the 14 3’s of which Robin
takes account, there will be the 3 which is in the 4 which is in the 5,
the 3 in the 4 which is in the 6, the 3 in the 5 which is in the 6, the 3
in the 4 in the 5 in the 6, &c. A list which may fairly be called
dreipov is thus produced.
IQ. oporar yap at év toils adtois dpiOpots. Bz. supposes idéar to be
the noun implied by ai, and takes the phrase to mean ‘the Ideas con-
sisting in identical numbers’. But zpuddes is the only word that can
be supplied ; and further Bz.’s interpretation assumes that the dAdo
tpuddes are Ideas, which Aristotle expressly leaves uncertain (Il. 20,
21). It seems better to suppose, with Robin (p. 352), that Aristotle
means that the 3 which is in the 4 itself is like the 3 which is in the 4
which is in the 6, and the 3 which is in the 6 itself is like the 3 which is
in the 6 which is in the 7 itself, and so on. Yet even this interpreta-
tion is not quite satisfactory, since to justify ai dAAa (ad/ the other)
tpiddes Aristotle ought also to mean that the 3 in the 4 itself is like
the 3 in the 6 itself. But probably Aristotle overlooked this point.
20-21. ‘Ifeach 3 is an Idea, each of the numbers will be Man Him-
self.’
25. The assignment of numbers to the different Ideas by Aristotle
is arbitrary ; itis quite unnecessary to read tpids for duds with Christ
to bring the sentence into conformity with Jl. 14, 18.
27-29. Bz. thinks this is an interpolation, belonging to the criticism
not of ideal numbers but of Ideas in general (cf. 1080%2-8). The
passage is, however, interpreted by Alexander and Syrianus without
any suspicion of its spuriousness, and it seems quite possible to connect
it with what precedes, if we interpret «id as meaning ideal numbers,
which in view of the repeated identification of Ideas with numbers we
are entitled to do. Aristotle has just referred (il. 25-27) to the
arbitrary assertion of the existence of Ideas of numbers up to ro, and
the arbitrary denial of their existence beyond that point. Here he
points to a similarly arbitrary distinction. ‘Forms are introduced to
explain being and becoming.” Yet some things (negations 10794 9,
relations 1079° 12, manufactured objects 1080 5) are and become with-
out being supposed to have Forms answering tothem. Why have they
not Forms? ‘The fact that the Platonists can dispense with Forms in
these cases shows that Forms are not the causes of being and becoming.’
30. padddv tr ov. It seems pretty clear that Alexander and Syrianus
had the same reading as our manuscripts. Alexander interprets it as
meaning kal radra 70 ev Kar’ avrovs paAdév Tu ov KTA.; SO also Syrianus
(Alexander may have read in the next clause xa/ for kairo). Bz.’s
proposal to read «i 6 dpuOpos prexpr THs Sexddos, parAdv Te dv Td Ev Kal
eldos xtA. has not the authority of the Greek commentators; and the
accusative absolute is not probable. The interpretations of Alexa:
and Syrianus do not commend themselves. According to Alexande
2573-2 Gre:
Bz.’s
proposal to read «i 6 dpuOpos prexpr THs Sexddos, parAdv Te dv Td Ev Kal
eldos xtA. has not the authority of the Greek commentators; and the
accusative absolute is not probable. The interpretations of Alexa:
and Syrianus do not commend themselves. According to Alexande
2573-2 Gre:
450 COMMENTARY
argument is: ‘If the One is both the Form of the ro and ungenerated,
while the ro has come into being, there will be an 11 whose Form is
the One and whose matter'is the decad’, According to Syrianus the
One in question is the One which is the formal principle of number, and
what it is in relation to all the numbers, the ideal ro is in relation to the
other tens, the hundreds, and the thousands, for which reason it was
called Sevrepwdovpéva povas. The meaning seems to be: ‘Further, it
is paradoxical if the number series up to ro is more of an entity and
a Form than the ro itself; to this we may object that there is no
generation of the series as a unity, while there is of the 10. Yet they
try to speak as if the number series up to 10 were complete’, Certain
Platonists may have said something (we do not know what) to justify
Aristotle in describing them as holding the series up to ro to be more
of an entity than the 10 itself; once grant this and Aristotle’s objection
becomes plain. He objects that, as the Platonic theory only describes
the origin of the numbers severally and not of the series ws évds, the
series cannot form a true entity or Form.
32. Ta émdpeva, ‘the derivative entities’.
He objects that, as the Platonic theory only describes
the origin of the numbers severally and not of the series ws évds, the
series cannot form a true entity or Form.
32. Ta émdpeva, ‘the derivative entities’.
33. To kevov kT. Alexander explains that the space between the
even numbers 2, 4, 6, 8, or again between the odd numbers 3, 5, 7, 9
was the Idea or pattern of the void (this may be an inference from
Phys. 213° 24 70 yap kevov duopilew thy piow airar, sc. Tov apiOpar,
but it is of the Pythagoreans that Aristotle says this); that ‘2, 4, (6),
8’ was the pattern of arithmetical and ‘2, 3, 6, 9’ the pattern of
geometrical proportion; that the number 1 was the Idea of oddness ;
while movement and good were derived from the One, rest and evil
from the indefinite dyad. Thus he takes ra dAAa (1. 35) to refer to ro
Kevov, THY dvaoylav, TO mepitTov, TA GAAa Ta ToLadTa. On the other
hand Theophrastus (JZef, 312. 18—313. 3 Br. = fr. xii. 11 fin., 12
Wimm.) says that the Platonists derived place, she vord, the infinite
from the indefinite dyad, and certain other things, e.g. soul, from the
numbers and the One. Robin accordingly (p. 317) takes 70 Kevov,
dvadoyia, To mepitrév, as well as xivyows, ordows, dyabdv, Kakov to
have been derived from the dpyai (the One and the indefinite dyad),
and thinks that 7a dAAa (1. 35) is left here without illustration but
means what Theophrastus describes as yy) kal GAN drra. With
Theophrastus’ statement that the void was derived from the indefinite
dyad cf. Phys. 209> 11 IAdrov tiv vAnv kal thy xdpav taiTd dyow
etva. Zhe odd is actually described in 1. 36 as identified by the
Platonists with one of the dpyai, the One, In this the Platonists
followed the Pythagoreans, who described the formal principle
indifferently as the limit and the odd. The best explanation of the
reference to proportion is furnished by Syrianus, who points out that
instances of all the three fundamental évaAoyia. ean be found without
going beyond the number ro: arithmetical dvaAoyia, e.g. 1, 2, 33
geometrical, e.g. 1, 2,4; harmonic, e.g. 2, 3, 6. For the derivation of
movement from the indefinite dyad cf. K. 1066 11, where we are told
that some thinkers describe movement as érepéryra Kal dvicdryta Kal Td
M. 8. 10842 32 — 1084> 7 451
pa ov (which = 70. péya Kal 7d puxpov Phys. 1927), and A. 992? 7.
Eudemus also says that Plato identified movement with the great and
small (ap. Simpl. PAys. 431. 6, 13, p. 41. 18, 42. 8 Spengel). For
the reference of good and evel to the One and the indefinite dyad
respectively cf. A. 9884 14.
36-37. ‘ And so they identify the odd with the One (a principle,
not a number); for if oddness had depended on the first odd numéer,
how would 5 (which according to the theory has not the ideal 3 in it)
be odd?’ To say that the number 3 is the principle of oddness
would imply deriving 5 from the union of 2 and 3, whereas according
to the Platonic view itis otherwise derived.
The force of 80 seems to be this: The Platonists derived all
derivative entities either from the first principles or from the numbers
up to 10. Now oddness could not be derived from a number such as
3, because this would not explain the oddness of any other number
(the numbers being supposed independent of each other) ; sherefore it
had to be derived from one of the principles, and of the two the One
rather than the indefinite dyad was indicated for the purpose.
For the force of év rq rpiads cf. Eucken, Sprachgebrauch d. Ar.
pie2as
37-b 2. éru... SexdSos, ‘ Further, magnitudes and the like extend,
they say, only up to a certain point, e.g. there is the first or indivi-
sible line, then the two, &c.; these entities also extend only up to ro.’
Aristotle is giving a further ground for his statement that the Pla-
tonists treat 10 as the perfect or complete number (I. 31). They
recognize first the primary or indivisible line (their substitute for the
‘point’ of geometrical theory, A. 992% 22). mpdérn ypappi) dropos is
difficult, and it seems best to read 4} rpérn ypayyn, 4 dropos. (Alterna-
tively we might omit % after otov as Schwegler proposes, and translate
‘first comes the indivisible line’; but 7 is more likely to have been
omitted after zpary than to have been inserted after ofov.) I know of
no exact parallel to zpwry ypaypy in this sense, but in A. 9924 21
the indivisible line is called dpy% ypappys, and 4 te dpxi mpGrov Kal
70 mpa@tov dpyyn, Top, 121? 9.
Certain Platonists (A. 992°21, De An. 404» 16-24 suggest that
Plato himself was among them, while a comparison with N. 1090 20-
32 suggests that Xenocrates also is referred to) connected the point or
indivisible line with the number 1, the line with 2, the plane with 3,
the solid with 4 (N. rogob22, Z. 1036514, H. 1043%33); and
I+24+3+4= Io.
b 4-13. The discussion whether the One or number is prior may be
compared with the discussion in Z. 10, 11, where the same illustration
(the right and acute angles) is used (1034> 28, 10356, 1036% 14).
The present passage seems to be written without any reference to the
previous one.
7. 6. dprotar Kat TO Adyw. Two reasons for the priority of the
right angle are given, (1) that it is definite, while the acute angle may
be of any size between 0° and 90°, and (2) that it is involved in the
Gea
452 COMMENTARY
definition of the acute angle while the acute angle is not involved in
zs definition.
12, 76 dpe, i.e. what is elsewhere called 76 é& doty (A. 1071" 9),
or 76 ovvdpdw (H. 1043%22). 6 dpiOuds, which is here treated as
a compound of form and matter, was in 1. 6 described as form.
12, 76 dpe, i.e. what is elsewhere called 76 é& doty (A. 1071" 9),
or 76 ovvdpdw (H. 1043%22). 6 dpiOuds, which is here treated as
a compound of form and matter, was in 1. 6 described as form.
14-15. The list of three things that are indivisible—the universal,
the particular (for the meaning of 76 ért pépous cf. Meteor. 359” 30,
lV. E. 11074 30), and the element—is somewhat embarrassing, since in
the passage as a whole only two things are opposed to each other
(e. g. 7d pev 15, 76 5€ 16, worépws 16). Alexander seems not to have
read kat 7d oroxetov, but it is 7d emt pépovs that could be best dis-
pensed with, since it is the opposition of universal or form to element,
not to particular, that is insisted on through the greater part of the
passage (cf. ll. 4, 5; 19, 20). At one point, indeed (Il. 9-12), the
opposition of number to one is seen to be more truly that of whole to
element ; and the whole (76 ddov To ek THs TAns Kal Tod eidovs) = the
particular (76 éwt pépovs) ; but for the most part number is treated as
a universal. In fact the relations of whole and part, and of universal
and particular, are not kept sufficiently distinct.
The difficulty may be escaped in various ways. (1) We might
read 7a dé in 1. 16 and take it to refer to both the particular and the
element, 7d pev referring to the universal. (2) We might suppose ro
émt yr€povs to be added for the sake of completeness though it does not
enter into the argument and is forthwith ignored. (3) We might suppose
that kat 7d wrorxetov is explicative of 7d ét pepovs. The mention of
70 KaOdAov, we may suppose, led Aristotle to its natural opposite 7d
él yépovs, which elsewhere means the particular, but, the relations of
whole and part and of universal and particular being here confused,
Aristotle uses 76 éi pepovs in the sense of ‘part’ and explains his
usage by adding kai 76 orouyetov. This use of ért pépovs would be to
some extent in line with the uses of xara pépos, ava pépos, Tapa pepos,
év pépe quoted in Znd. Ar. 455” 3~23.—Of these possibilities the last
is, in view of the dichotomy which pervades the passage, the most
probable.
This use of ért pépovs would be to
some extent in line with the uses of xara pépos, ava pépos, Tapa pepos,
év pépe quoted in Znd. Ar. 455” 3~23.—Of these possibilities the last
is, in view of the dichotomy which pervades the passage, the most
probable.
15-16. ddXG tpdtrov Gov kth, An opposition of ‘indivisible in Aéyos’
and ‘indivisible in time’ would be quite unparalleled in Aristotle, and
no reasonable meaning can be attached to it. Alexander explains that
the universal is indivisible in Adyos because ‘ footed two-footed animal’
is not divisible into other Adyou and eidy as ‘animal’ is into ‘man’
and ‘horse ’—which is evidently nonsense ; and that the particular is
indivisible in time because my form is not prior in time to me—
which, besides interpreting 76 émi pépovs in a sense which we have seen
reason to doubt, is a very unnatural interpretation of ‘indivisible in
time’. Nor does any better interpretation of this last phrase seem
possible. We are driven, then, to suppose that rpomov dAXov KTAi
does not qualify ‘indivisible’. Ifwith Bekker we read a full stop before
dAAd, we may take tpdrov addAov as qualifying dpyy. ‘The One is
M. 8. 1084» 12-32 "453
said to be dpxy because it is indivisible. But the universal as well as
the element is indivisible. Yes, but their consequent primariness is
of different kinds.’ We thus get the ordinary opposition of zpdérepov
Aoyw and xpovw, for which cf. ll. 12, 13, Z. 1028%32, 1038 27,
@. 1049 11, Phys. 265% 22. Accordingly in]. 16 Aristotle asks not
‘in which sense is the One indivisible?’ but ‘in which sense is the
One apxn Le
18. Kat ckatépa, pia may mean (1), as Alexander says, ‘ and each of
these is one and the same with itself’. I.e. these words may simply
emphasize the fact that one single thing may be in one sense prior, in
another posterior, to another single thing. But it seems more likely
(2) that these words fit into the argument as follows: In which sense is
the One dpxyn? The right angle is prior to the acute angle, and in another
sense the acute angle is prior to the right angle, and each of these is one
(s¢.the acute angle is one as an element is one, and the right angle is one
as a whole—here confused with a universal—is one). |The Platonists
accordingly (84) make the One primary in both senses, in time and in
Aéyos. But this is impossible ; for ‘One’ is here used ambiguously—
it is what is one, as a form or essence (= universal) is one, that is
primary xara Adyov, but it is what is one as a part, or as matter, that
is primary kata xpovov.
But this is impossible ; for ‘One’ is here used ambiguously—
it is what is one, as a form or essence (= universal) is one, that is
primary xara Adyov, but it is what is one as a part, or as matter, that
is primary kata xpovov.
20-24. éott ydp mws ktd. ‘For each of the two (the unit and the
number) is one in a certain sense—in /rwth, if the number is not
a mere aggregate but a unity consisting of units qualitatively distinct
from those of any other number’ (cf. 10808 15-35), ‘each of its two
units exists’ (and is one) ‘only potentially, not actually’ (while the
number exists, and is one, actually). ‘This isthe truth, and the cause
of the error into which the Platonists fell is that’ &c.
22. For owpds in this sense cf. Z. 1040? 9, 1041 12, H. 1044% 4,
1045° 9.
25. €k Tov Adywy Tov Ka8ddov. The Platonic method of inquiry is
described similarly in A. 98731, ©. 105035, A. 10697 28, N.
1087) ar,
26. 16 év kal thy dpxyv, ‘the One, that is, the first principle’. The
Platonists, Aristotle means, treated the One which was the formal
principle of number as being at the same time to number what the
point is to the line, viz. a material principle.
4 yap povas ottypy AWetds eotw. Cf. the definition of the point as
povas Gow éxovoa De An. 40926, A. 1016” 25 n.
27. €tepot ties, the Atomists.
2g. It is evidently not the unit’s turning out to be matter and its
turning out to be prior to the two that are meant to be described as
dma, but its turning cut to be prior and its turning out to be posterior
to the two, so thata commais wanted after dpu0yav. Cf. Robin, p. 396,
who, however, puts a full stop after dpub.av.
30-32. 51d SE... ENeyov. ‘ But owing to the universal nature of
their inquiries they treated the unity which can be predicated of
every number as being in this way too a part’, sc. as a formal part
454 COMMENTARY
or element in the definition predicable of each number, as well as
a material part of it. For this line of thought about 76 év, which led
the Platonists to treat it as the very essence of real things, cf. B. 996 4,
998 17, 10017 4, 20, I. 10539, 20, K. 1059 27, 1060? 3.
32. Taira 8°... bmdpyewv, ‘but one thing cannot be at the same
time a material and a formal element in one other thing’. Cf. 1. 19.
B. 996 4,
998 17, 10017 4, 20, I. 10539, 20, K. 1059 27, 1060? 3.
32. Taira 8°... bmdpyewv, ‘but one thing cannot be at the same
time a material and a formal element in one other thing’. Cf. 1. 19.
32-34. ei S¢... apy. ‘ But if the One itself must only be without
position (for it differs in no respect except in that it is a first principle),’
What the One differs from only by being a first principle is the wef; but
its being without position distinguishes it from the pozn (I. 26). Thus
the two clauses have not any such connexion as ydp indicates, and can
hardly be right as they stand. Alexander feels no difficulty, but gives
an impossible interpretation; and Bz’.s interpretation, which takes
aerov as if it could mean dpyixdy, does nothing to meet the difficulty.
The proposed emendations of dOerov (ddvaiperov Schwegler, dovvOerov
Bywater) would give a satisfactory sense if it were not for pdvov, but in
the presence of povov are unsatisfactory. Two suggestions may be
made. (tr) It is just possible that a@eroy may be used in a new sense.
Each unit has, on the Platonic view, a setting or Oéc1s in some parti-
cular number ; all that distinguishes the One which is the formal prin-
ciple of number is that it has no such particular setting, that it is aerov.
It would not be unlike Aristotle to use dOeros thus in a different sense
from that which it bore in l. 27, but the suggested use of d@eros is
apparently without parallel. (2) We might suppose povaducoy to have
been corrupted into pdvoy ddiov, and this to have been altered
through a reminiscence of ]. 27 into povoy aberov.
33-34. The use of od0evi.. . 4 for otfevi dAdw... 7 OF OVMeL...
aXX’ 7 is irregular, but cf. Kihner, ii. 2. §540, Anm. 4.
1085* 1-2. The argument is not, as Bz. says, the same as that in
1081 25-35. It is simply this: If one thing added to another
always makes a two, the two itself and the three itself make a two, and
a two of whose generation the Platonists can give no account. They
cannot derive it from the One and the indefinite dyad, since what
these originate is the two itself, the three itself, and so on.
3. ab pev odk oti, cf. 10822 20, Phys. 227220. Only those
things touch one another ay ra dxpa dua 226 23, so that things
which have not extent, such as units or numbers, cannot touch, though
they can be successive. év rots dpufmots is ambiguous ; Aristotle means
that there is not contact but only succession, both as between units
in a number (1. 4) and as between numbers (I. 6).
év rots dpufmots is ambiguous ; Aristotle means
that there is not contact but only succession, both as between units
in a number (1. 4) and as between numbers (I. 6).
4-5. oowy .. . tpidd. might be taken either with what precedes or
with what follows. ‘The meaning may be (1) 1o 8 éeéqs éorw
ev Tals povacw dowv pH eore petagd, Or (2) worepov at povddes, dowv
py ore petagv, epeéjs. In either case 7 7H Tpiad. is embarrassing,
since it is only the units in 2 that Aristotle goes on to speak of; but
it is specially embarrassing if dowy «rd. be taken as in (2). Therefore
(1) seems preferable. Then ai év 77 dudé. is to be understood as the
subject of epeéqs (ior) in |. 5.
M. 8. 1084> 32 —g. 1085414 455
6. Bz. reads r@ ebe&fs and claims the authority of Alexander. But
it is not clear what Alexander read, so that it seems better to retain
the manuscript reading trav édeéjs, which gives a good sense.
Aristotle does not here state the objections which follow if (1) the
units, or one of the units, in two, or (2) two itself, are to succeed the
number one directly. The objection to (1) is that then there is a two
(composed of the number one + one of the units in two) before there is
the number two itself (cf. 10818 32). The objection to (2) is that
the first unit in two, being prior to the second unit, should be prior
to the two composed of them (10818 25~27),
7. tav botepov yevav Tod dpOyod, ‘the kinds posterior to number’.
These are also called ra wera tods dpiOuovs A. 99213, ra pera Tas
ideas M. 1080» 25, For the priority of numbers to geometrical objects
cf, A. 982226, Z. 1028" 21 n.
Q. ot pev ydp. érepor d¢ does not come till 1. 32. The Platonic
opinions mentioned regarding the material principle of spatial magni-
tudes are
(1) That it is the various kinds of the great and the small
(108529, A. 992%11, N. 1090537). Some, if we may believe
Aristotle, did not distinguish the great and the small which is the
material principle of number from that which is the material principle
of spatial magnitudes (B. roo1» 19). Al. 228. 10, Asc. 207. 37, Syr.
48. 20 think Plato himself is here referred to, and this may well be so.
Others divided the great and small into the many and few, which
is the épy7 of number, and the long and short, the broad and narrow,
the deep and shallow, which are the dpxaé of spatial magnitudes
(N. 1089? 11).
(2) That it is something analogous to 7A7Gos, i.e. something which
is to spatial magnitudes what multitude is to numbers (10854 33).
wAnGos is mentioned in various places as the material principle of
number according to some Platonists ( 5, N. 10876, 27, 1091 31,
10928 28, 35). A comparison of 1091) 30-35 with 10914 29-» 3,
and with A. 1072 30 (where he is mentioned by name), makes it pretty
certain that Speusippus is the thinker referred to. Cf. Al. 823. 12.
Plut. De An. Procr.ii, 1, 2. 1012 DE, ascribes the view to Xenocrates,
but his testimony is of less worth.
A comparison of 1091) 30-35 with 10914 29-» 3,
and with A. 1072 30 (where he is mentioned by name), makes it pretty
certain that Speusippus is the thinker referred to. Cf. Al. 823. 12.
Plut. De An. Procr.ii, 1, 2. 1012 DE, ascribes the view to Xenocrates,
but his testimony is of less worth.
13-14. ‘As regards the principle in such objects which answers to
the One (i.e. which is for geometrical objects what the One is
for numbers), different thinkers hold different views.’ Al. 777. 17
distinguishes two views. (1) Some thought that the ideal numbers
were the forms of geometrical objects—two the form of the line,
three of the plane, four of the solid. (2) Others thought that the One
was their form. Both views are suggested in B. roo1? 24.
(1) This view is mentioned in N. 1ogo} 22, Z. 103613. It may
be that the holder of this view was Xenocrates, for in Z. 1028» 24,
after saying that Speusippus severed the various classes of being from
each other, Aristotle continues with the words évou dé ra pev td Kat
rovs dpOpors Tiv aitny exew dact pic (this shows that Xenocrates is
456 COMMENTARY
in question, cf. M. 1076? 20 n.), 7a. dé dAAa exomeva, ypappas Kat eizeda.,
péxpt pos THY TOD otpavod ovciay Kat Ta aicOyrd. I.e. these thinkers
linked up the various classes of entity, and made ypappas kal érireda
dependent on the numbers. Cf. Theophr. Jef. 313. 4 Br. = fr. xil. 12
Wimm. The view of Zeller (ii. 1.4 949, n. 2) that Plato was the
holder of this view seems less probable. “Al. 777. 16, Syr. 154.9
refer the view to Plato, but we have seen reason to believe that they
knew little about early Platonism. Cf, Robin, pp. 295-298.
We have no further information about view (2), but (3) a third view
is expressed in |. 32, the view that the formal principle was the point,
considered as analogous to the One. Cf. 27. The persons who
held this view are identified by Aristotle with those who took the
material principle to be otoy wAOos, and we saw (l. 9 n.) that
Speusippus is meant. It could not be either Plato or Xenocrates that
is referred to, for they did not believe in points (for Plato cf A.
992 20).
16. dmohedupéva te is caught up by rairé re |. 20. The argument in
ll, 16-20 may be put thus: If long and short, broad and narrow, deep
and shallow are the characteristics of the lines, the planes, the solids
respectively, either (1) what is broad or narrow is not long or short,
so that lines and planes are quite cut off from each other, or (2) it is,
in which case the plane is a line.
19-20. The point of ém 8é. .. dmod00jcetar; seems to be: ‘ How
will they describe the principles of excess and defect which are to
angles and figures what the long and short is to the line, the broad and
narrow to the plane, &c. ?’
19-20. The point of ém 8é. .. dmod00jcetar; seems to be: ‘ How
will they describe the principles of excess and defect which are to
angles and figures what the long and short is to the line, the broad and
narrow to the plane, &c. ?’
20. tadtd te cupPaiver tots mept Tov dpiOudy, sc. cvuPaivovow,
Long and short, &c., are, as much as straight and curved, attributes
(to be exact, they are properties, which are xa atrd in the latter
of the senses stated in Am. Post. i. 4. 73° 34-» 3) of the line, not its
matter, just as great and small are attributes, not matter, of number,
A. 992» 2, N. 10884 17.
23-31. Aristotle now introduces, in the middle of his discussion of
the principles from which the Platonists derived geometrical objects,
an argument against the general theory of ideal numbers existing apart
from sensible things. The section breaks the continuity of the thought,
and is evidently out of place.
23. wdvtwv ... ToUTwy appears to be neuter—‘all these cases’.
24. Tdv elddv Tdv ws yévous, cf. A. 991°31 Nn.
25. 97. Alexander and Bonitz take this in the sense of ‘ ascribes
separate existence to’, but it seems doubtful if the word can mean
this; nor is either of the suggested emendations very plausible.
I believe that 07 has its ordinary meaning and that the argument runs
thus : ‘A question which can be applied to all these Platonic beliefs is
that which must be faced in the case of species of a genus, when one
posits the existence of universals, viz. whether it is ‘animal’ itself that
is present in the particular species of animal, or an ‘ animal’ distinct
from ‘animal’ itself. If we do not assign separate existence to the
M. 9. 10852 16 — 1085) 22 457
universal there is no difficulty; if we do assign separate existence to
the One and the numbers, the question is difficult, not to say impossible.’
26. % Erepov atrod tuou. Jaeger reads Ceov for Gwov and renders
‘or an animal distinct from the sensible animal’. But this would be
a mere synonym for rd €Gov avré, whereas mérepov ... 7 suggests
alternatives. The meaning is made clear by Il. 29-31.
27-28. xwprotod 8¢... tod évds Kal Tav dprOuay, ‘the One and the
numbers being separate from sensible things’.
gi. It seems quite possible, pace Bz., to retain atrd voet tT, in the
sense of ‘is one thinking a thing-itself (or Idea)?” Cf. 1079” 9.
32. Tovadtys UAys, the various forms of great and small, 1. 9.
érepou S€, apparently Speusippus, cf. 1. 13 n.
33- KatadAys Uys, cf. 1. gn. For the construction ddAys vAns otas
70 wAnGos cf. De An. 424” 2, G. A. 766” 13,
35-4. Aristotle here reduces those who made the material
principle of peyéy ‘something analogous to rAjOos’ (I. 33) to the
same dilemma to which he reduced those who made the principle
’ “the kinds of great and small’ (# 9-20).
b5. ék Tod évos kat mdyQous, the view of Speusippus, cf. #9 n.,
Z. 1028 21 n.
6. Gmws 8° ody Aéyouct, ‘ but however they speak’. A€yovar is par-
ticiple, cf. Zop. 128 33, De Sensu 444% 18, Pol. 1319» 37.
b5. ék Tod évos kat mdyQous, the view of Speusippus, cf. #9 n.,
Z. 1028 21 n.
6. Gmws 8° ody Aéyouct, ‘ but however they speak’. A€yovar is par-
ticiple, cf. Zop. 128 33, De Sensu 444% 18, Pol. 1319» 37.
J. Tos €k Tod évds...dopicorov. Plato is probably referred to,
as well as Xenocrates. For the evidence cf. Robin, pp. 641-654.
Q. 6 8 =oi ek Tod Evds Krd., |. 7.
II. at adtat, which is read by the vefus versio and apparently by
Alexander, gives a better sense than the manuscript reading atra.
Christ’s conjecture airaé is nearer to the manuscripts, but the crasis
does not appear to be used by Aristotle. The passage suggests
10822 20, but the point is not the same. There the question was,
How are the units combined into numbers? here it is, How are the
formal and the material principle combined?
On pigs and Oécis cf. 1082420. «pao is a kind of pigis (Zop.
122>26)—the kind that belongs to fluids; though sometimes the
words are used interchangeably (Po/. 126218). Cf. Al. De Mist.
xili. 228. 7, 25 Br.
18-22, From the supposition that each unit is derived from the
One and a part of plurality, three difficulties might seem to be
deduced : (1) each of the parts of plurality must be indivisible, so that
a divisible is composed of indivisibles (which is absurd),—unless we
are to make the part of plurality itself a plurality and the unit divisible
(which is equally absurd); (2) the elements will be not the One and
plurality but the One and a part of plurality; (3) this plurality of
indivisible parts which is supposed to be an element of number will be
itselfa number. But there is a difficulty in this interpretation. In
1. 33 number is said to be composed of indivisible parts. That each
of the parts of plurality should be indivisible (1. 18) is, then, in itself no
difficulty. d8vatperov (1. 18) . . . dvarperqv (I. 19) is not a complete
458 COMMENTARY
objection ; the following words cai. . . évés must go withit. The first
objection then is that each of the parts of plurality will be indivisible,
and thus the material principle will not be +AOos at all; and there
are only two objections, not three. re, then, in 1 18 is caught up
not by xaé in |. 19 but by éru in |. 21. :
In all this, Bz. remarks, Aristotle ignores the facts (1) that Plato
probably did not think of number as containing units at all, (2) that
he meant by the material principle of number something which was
a mere potentiality and could not be charged with being an actual
number. But as regards the first point, we must remember that
Aristotle is here attacking not Plato but Speusippus (cf. 1. 5 n.),
who did not believe in ideal but only in ordinary mathematical
number (cf. 1076® 20-21 n.), and is therefore more open to Aristotle’s
attack.
22. TS yap TAGs ddvaiperwv éotiv dprbuds, cf. Z. 1039 12 N.
1. 5 n.),
who did not believe in ideal but only in ordinary mathematical
number (cf. 1076® 20-21 n.), and is therefore more open to Aristotle’s
attack.
22. TS yap TAGs ddvaiperwv éotiv dprbuds, cf. Z. 1039 12 N.
23. Kat mepl Tods ofrw A€yovtas kTA. A similar question has already
(1083> 36) been asked regarding the theory which derived number from
the One and the indefinite dyad; Aristotle is now considering the
theory which derives number from the One and rA7j@o0s. But it is not
quite the same question that is asked. In 1083 36 the question was,
Is number finite or infinite? Here the question is, Is the number
which we have shown the original rA7#60s to be (1. 22) finite or
infinite? That this is what Aristotle is asking is shown by |. 26 zotov
ovv tAROos oTorxeiov.
tept tods otw Néyovtas. The manuscripts read apa xrA., and Bz,
Ind. Ar. 562% 7 interprets wapa as ‘according to’, but this use seems
unparalleled in Aristotle. Alexander seems not to have had the pre-
position, and to have taken rots ovrw A€yovras as object of Cyryréov ;
but this is not an Aristotelian construction.
24. xa, at first sight difficult, may be explained by the following para-
phrase: ‘Since the units produced from the 7AjOos and the One
were finite, the ThIGos also must have been finite ’.
26. €or. te . . . daeipov. Alexander explains ‘and plurality is
different from infinite plurality’. (Though he does not use the word
air, it would not be safe to infer with Christ that he did not read it.)
So too Bz. The only objection to this interpretation is that if we
adopt it, Il. 24-26 give no reason at all why the original plurality
should not have been finite. But Aristotle evidently thinks that he is
putting Speusippus into a difficulty. Perhaps, then, we should in-
terpret the whole passage thus: ‘ There was, according to Speusippus,
a finite plurality from which and the One the units were derived. And
there is another plurality which is “ plurality itself’ and infinite
plurality. Which sort of plurality, then, is the material principle in
number ?’
27-34. Aristotle now passes from the views of Speusippus about
the derivation of numbers to his views about the derivation of spatial
magnitudes (stated in 432-34). The objections stated here to the
M. 9. 1085 22 — 10868 12 459
derivation of points are clearly akin to those raised against the deriva-
tion of units in Il. 12-21. Line 29 answers to 14; 30, 31 to 15-173
31-34 (less closely) to 17-21.
29. ob yap... atry, ‘for this is not the one point which alone
exists’,
9. 1085 22 — 10868 12 459
derivation of points are clearly akin to those raised against the deriva-
tion of units in Il. 12-21. Line 29 answers to 14; 30, 31 to 15-173
31-34 (less closely) to 17-21.
29. ob yap... atry, ‘for this is not the one point which alone
exists’,
36. tpdmous. Alexander knew both this reading and zpdrovs, and
preferred the latter, interpreting it as rods évdoforépous (782. 25). But
this is awkward, considering that Aristotle uses 6 rpéros immediately
after (1086 11) in the chronological sense. It is equally awkward to
suppose that Plato, Speusippus, and Xenocrates could be grouped -
as oi mp@ro in the chronological sense, since in 1086411 Plato is
distinguished from the other two as 6 zpéros. It seems better, then,
to read with EJ zpdzovs, which is used quite similarly in 1080) 4,
10, 35, 1083 2, 1086231. There is perhaps, as Goebel remarks,
a special appropriateness in the use of the musical term zpdzos with
Siadwveiv.
1086? 2. oi pév, sc. Speusippus. Cf. 10762 20-21 n., 1080) 14,
4. Tod eiSytiKod dpiOu0d. This phrase, which occurs again in
N. 1088) 34, 1090) 38, seems to stand for the ideal, i. e. universal or
natural, numbers, as opposed to the so-called mathematical numbers.
It has no necessary connexion with the presumably later theory
which said that a// Ideas were numbers. Nor has it any connexion
with the ‘ figurate numbers’, i.e. the numbers which can be represented
by a regular geometrical pattern, such as .*. or :: . This way of
thinking of numbers was an early Pythagorean device, and is referred
to in N. 10g212, but the expression ecidyriKds dpifds Comes not
from the old Pythagorean usage of clos = cyjpa but from the
developed Platonic sense of ¢f8os. It is a synonym for 6 dpuByds 6
Tov «idav (1081 21, N. rogo? 33) or of év Trois cideor dpufpot (N.
1093 21).
5. ot 8¢, sc. Xenocrates. Cf. 1076% 20-21 n., 1080 22, 1083? 2.
5-6. 1a eidy .. . wovetv, ‘ wishing to make the Ideas at the same
time also numbers ’.
7. Alexander (783. 3) seems to have omitted tds, and Jaeger
follows him, taking ravtas as = 7a «ldy. But there would be no
special point here in the description of the eidy as dpyad. A comparison
with 10814 12-17, N. 1090” 36 shows the point to be that if the One
and the great-and-small are taken as the first principles, it is hard to
deduce do/h the Ideas and mathematical numbers from them. If
tavtas be kept, the reference is to the discussion of the One and the
great-and-small in 1083 23—1085 34. But ras airds would be
rather more pointed, and may be the true reading.
II-I2. 6 8€ mpatos ... etvar, sc. Plato (Al. 783. 22). For the
phrase cf. 1078” 11, for the doctrine 10764 19 n., 1080? r1.
According to the manuscript reading Plato is described as laying
it down (1) that the Ideas existed, (2) that they were numbers, (3)
that mathematical objects existed ; éydépucev is left rather awkwardly
460 COMMENTARY
22). For the
phrase cf. 1078” 11, for the doctrine 10764 19 n., 1080? r1.
According to the manuscript reading Plato is described as laying
it down (1) that the Ideas existed, (2) that they were numbers, (3)
that mathematical objects existed ; éydépucev is left rather awkwardly
460 COMMENTARY
without an object. There is therefore something to be said for Christ’s
proposal to omit the second eva. This gives the sense ‘ He who
first posited that the Ideas were also numbers naturally separated the
Ideas and the mathematical objects’. Cook Wilson’s proposal to put
elvan after aprOuovs gives a still better sentence.
17. kat ’Emixappov. Diels, Vors. fr. 14. Ahrens (De Dral. Dor. 457)
writes the verse of Epicharmus thus: dptiws te yap AcAexrar KedOds od
kadds éxov | haiverat.
Criticism OF THE Doctrine or IpzEas (M. 9. 10862 18—N. 2.
10g0® 2),
(A) Lf assigns separate existence to universals (M. 9. 10864 18—ro.
1087 25).
18. So much for the numbers; with regard to the first principles, what
those say who are speaking of sensible substance only is a question
for physics; we must discuss the statements of those who believe. in
non-sensible substances, Ideas and numbers, whose principles are the
principles of all things.
29. Those who believe in mathematical numbers only may be
deferred ; we must discuss the believers in Ideas. They treat the Ideas
as universals and at the same time as existing apart and as being
particulars.
34. The reason of this impossible combination is that they thought
that since sensible particulars were in constant flux, universals must be
something apart from these.
be. Socrates by reason of his definitions gave the impulse to this
view, but did not separate the universals from the particulars. He
was right, for knowledge implies a universal; it is the separation that
causes the objections to the Ideas.
7. His successors, seeing that if there are substances apart from
sensibles they must exist separately, could find no others than these
universals to assign separate existence to, and therefore assigned it to
them. The result is that their universals and their particulars are
practically the same kind of thing.
14. We may state a difficulty already discussed which affects
non-believers as well as believers in Ideas: if we do not suppose
substances to exist apart, we annihilate substance; if we do suppose
them to do so, what are we to say of their elements ?
20. (1) If we make these particulars, then (a) things will be no
M. 9. 1086% 17-21 461
more in number than their elements, and (4) the elements will be un-
knowable. For suppose syllables to be substances, and their elements
(the letters) the elements of substances.
24. Then (a) each syllable will be a unique individual, and there-
fore also each letter; and therefore there will be nothing but the
letters.
32. (4) The elements will be unknowable. For knowledge is of
the universal, as is clear from the nature of demonstration and
definition.
24. Then (a) each syllable will be a unique individual, and there-
fore also each letter; and therefore there will be nothing but the
letters.
32. (4) The elements will be unknowable. For knowledge is of
the universal, as is clear from the nature of demonstration and
definition.
37. (2) If the first principles are universal, either the substances com-
posed of them wil] be universal, or what is not substance will be prior
to substance. For the universal is not-substance, the first principle
is universal, and the first principle is prior to what is composed
of it.
10872 4. These difficulties arise when people derive the Ideas from
elements, and at the same time treat the Ideas as existing apart from
the substances that have the same form. But (a) if there are many
a’s and b’s and no ‘ aitself’ or ‘b itself’ apart from the many, there can
be an infinite number of similar syllables ; and so with substances and
their elements.
10. (4) The view that knowledge is universal, so that the first
principles of things must be universal and not separate substances, is
true only in a sense.
15. The potentiality of knowledge, being universal and indefinite, is
of the universal and indefinite, but the actuality is definite and of the
definite, individual and of the individual; what the grammarian studies
is ‘ this a’, and ‘a’ only indirectly because this a is an a.
21, If the principles had to be universal, their compounds would
have to be universal, and then there would be no self-subsistent sub-
stance. But it is only in one sense that knowledge is universal.
1086? 20. Bz.’s proposal to read wereopevoy or rererpévovs for
the second memetopévos does nothing to remove the difficulty. The
manuscript reading is as old as Alexander. The sentence though
careless is not unnatura]. Aristotle writes ot@év paAXov as if some-
thing like ay éxidoéq could be supplied from the previous clause; but
he happens to have written in the previous clause dy zeioGein, which
with zpos 76 reve Oqvar would make nonsense.—Cf. note at beginning of
Book M.
21. Syrianus tells us (160. 6) that some manuscripts made Book N
begin at this point. Certainly there seems to be a greater change of
subject than at 108729. So far, Aristotle has been discussing the
question whether Ideas and numbers exist independently of particular
462 COMMENTARY
things; now he proposes to discuss ‘the first principles and the first
causes and elements’. In essence 1086* 21—108¥%4 25 is a preface
to N, and with N forms a parallel and probably earlier treatment of
the subject dealt with in M. init.—10862 18. Cf. note at beginning of
Book M.
In the discussion now entered upon two~distinct questions arise:
(1) whether Ideas and numbers could serve as the elementary principles
of things; (2) whether the account given by the Platonists of the
principles of Ideas and numbers is satisfactory. ‘The two questions
are, as Bz. observes, not kept very clearly apart by Aristotle.
‘The two questions
are, as Bz. observes, not kept very clearly apart by Aristotle.
23. év Tols wept pucews. Alexander refers to Phys. ii. 3, where the
doctrine of the four causes is stated, and De Gen. ef Corr. ii. 5, where
the four elements are deduced. But the reference is more probably to
Phys. i. 4-6, De Caelo iii. 3, 4, De Gen. et Corr. i. 1, where the views
of the materialists are discussed.
2g. ot pév, the Pythagoreans and Speusippus, cf. 1076 20-21 n.,
1080} 14.
30. dotepov, N. 10908 7-15, 20-) 20, 10g1® 13-22.
32. KaOddou Te [ds odcias] movodcr Tas is€as. ‘They make the Ideas
universal as substances’ does not give the right sense; the sub-
stantiality of the Ideas should not be emphasized in this half of the
sentence, but only their universality. Jaeger is probably right in
treating as oveias as a variant of ws ywpioras which has found its way
from the margin into the wrong part of the text.
33. Kat tdv Kab” exactov, ‘and belonging to the class of particulars’.
kai is unmeaning if we take rév kal’ éxaorov as depending on
Xwpiotds.
34. Sinmdpyntar suggests a reference to Book B (cf. similar references
in T. 100432, I. 1053>10, A. 1076239, > 39, M. 108615); and
B. 1003®7 is quite relevant. The same point has been discussed in
Z. 13. There is nothing in M. 4, 5 (which Bz. suggests) that quite
suits the reference.
35-37. aitiov...émolouv. The traditional text would mean: ‘ The
reason why these characteristics (universality and separate existence)
were combined together by those who described the Ideas as universal
was that they did not regard the Ideas as substances identical with
sensible things’, This is evidently in more than one respect a weak
sentence. It is completely cured by Jaeger’s conjecture that idéas is
a gloss which supplanted ovovas, and that ovovas later found its way
from the margin into its traditional position. His reading gives the
excellent sense: ‘the reason why these characteristics were combined
by those who described their substances as universal was that they
did not identify substances (as common sense does) with sensible
things’.
ba. év rots éumpooder, A. 6 (= M. 4).
3. éxivyge, ‘stirred up’, perhaps (as Mr. W. J. Goodrich has sug-
gested) with a suggestion of the impropriety of the action, as in
kwely Ta aKivyta,
M. 9. 1086223 — 10, 1086 22 463
8:4 Tods dpiopods, ‘by reason of his definitions’. A less direct con-
nexion is implied than would have been conveyed by the genitive.
5. Sydot. For dyAot impersonal and intransitive cf. /ud. Ar. 174°
15-17.
10. e&Becay, cf. A. 992? 10 n.
15. Tots pi) Aéyouow refers both to Speusippus, who did not accept
the doctrine of Ideas (# 29 n.), and to non-Platonists.
év Tots Sianopypaciw, B. 999” 24 —1000% 4, 1003” 5-17.
5. Sydot. For dyAot impersonal and intransitive cf. /ud. Ar. 174°
15-17.
10. e&Becay, cf. A. 992? 10 n.
15. Tots pi) Aéyouow refers both to Speusippus, who did not accept
the doctrine of Ideas (# 29 n.), and to non-Platonists.
év Tots Sianopypaciw, B. 999” 24 —1000% 4, 1003” 5-17.
18-19. dvaipyjoer... déyewv. ‘One will be destroying substance in
that sense in which we understand “substance”.’ For this use of
BovtrcoOau Néyew cf. N. 1089 20, 1091 32, Pl. Laws 892 c 2, When
ws Bovdducba déyew is interpreted thus, Alexander’s dep 0d Bovrducba
(787. 25) is seen to be not a variant reading but a paraphrase. Bz.
supposes Aristotle to be admitting that the refusal to posit substances
separate from sensibles leads to the negation of substance, and accord-
ingly takes ds BovddpeBa A€yew to mean ‘as we are willing to admit for
the sake of argument’. But this is not (I think) idiomatic Greek, and
no reason can be suggested why for the sake of argument Aristotle
should admit something so entirely contrary to his own view, He is
in fact saying something quite different: ‘If one does not suppose
substances to exist separately, and in the way in which individual
things are said to exist, one will destroy the kind of substance that we
wish to maintain’. The question of the chapter is a general one,
involving those who do not believe in Ideas as well as those who do
(Il. 15). Aristotle agreed with the Platonists in supposing substances
to exist separately (the substances ‘hey meant being Ideas, i.e. entities
which were supposed to combine universality with independent
existence, while the substances 4e means are individuals). He there-
fore dismisses at once the supposition that substances do not exist
separately, and passes (1. 19) to the supposition that they do, which
occupies the rest of the chapter. Are their elements unique individuals
or universals? (1) If individuals (Aristotle is no doubt thinking here
of expressions like ‘ ‘ze One’, ‘ the indefinite dyad’), then (a) the sub-
stances will be unique individuals also, and (6) the elements will be
unknowable. (2) If universal, the substances will be universal and no
true substances. --Aristotle’s-own view is that the elements, and the
substances, are neither unique individuals nor universals. All that is
substantial is individual, but individuals are not necessarily unique ;
there may be many ofa kind. And what is true of substances is true
also of their elements(1087* 7-10). So Aristotle meets objection (1 a) ;
(1 5) he meets by the assertion that in a sense knowledge is of individuals
(10878 10-25); (2) he leaves alone, since his view is that the elements
are individuals, though not unique individuals,
Cf. note at beginning of Book M.
22-32. totwoav... pdvoy Ta atorxeta. ‘The main point of these
lines may be put thus: If each letter of the alphabet were a unique
individual, then you could never by any process of composition get
any more at one time than just A, B, C, &c., each occurring once.
note at beginning of Book M.
22-32. totwoav... pdvoy Ta atorxeta. ‘The main point of these
lines may be put thus: If each letter of the alphabet were a unique
individual, then you could never by any process of composition get
any more at one time than just A, B, C, &c., each occurring once.
464 COMMENTARY
You could not have, for instance, a syllable BA and a syllable BC.
Similarly, if the elements of substances were unique individuals, sub-
stances would be miserably Jimited in their number.
Aristotle professes to be assuming that the elements are unique
individuals (ll. 20, 21). But he complicates the argument by deducing
this (Il. 27, 28) from the unique individuality of the composite sub-
stances, which he first states as following from their being separate
substances (Il. 22-27), and then establishes by reference to what the
Platonists actually say (én... r.0éacw 1. 27).
27. dpdvupov is used here in the sense more properly expressed by
ovvevepov (cf. Ind. Ar. 514% 25-31, ' 13-18), as often when there is
no point in emphasizing the difference between the two words.
é1. 8... tu0€aowv, a parenthetical remark to the effect that the nume-
rical singleness of the Idea is not a mere supposition of Aristotle’s, but
is actually believed in by the Platonists. ‘They posit that “the just
what a thing is” is in each case one.’ For atro 6 éore cf. Crat. 389 D6
abrd éxeivo 6 éorw bvopa, Phaedo 78 D3 aird Exacrov 6 €or, Symp. 211 Cc 8
yG aird reAcvTGv 8 gor Kadov, Parm. 133 D8 ovk adrod deardrov Syrov,
0 €or SearoTns, éxelvov Soddds EoTW. 6 €or. Appears as a more or less
technical name for an Idea in Phaedo 75 B1,D2, Rep.507B7,597C9,
&c. Cf. similar phrases in Zheaet. 4689, Phil. 6242.
29-30. Kata Tov adtovy Aéyov ... kal aAAy, ‘according to the same
argument by which in the case of the other syllables there will not be
more than one instance of the same syllable’. For ovrep = xa? dvrep
cf, A. 991° 8n.
35. Prof. Shorey in Class. Phil. vii. go—g2 holds that et py here and
in], 36 means not ‘unless’ but ‘ but only that’. He argues that in 1. 33
knowledge is said to be ‘of’ universals, i.e. to have universal con-
clusions as well as universal premises (cf. Phys. 1892 5-7, Z. 1039” 27),
and that singular propositions never occur as conclusions in Aristotle’s
logical writings. This use of ei py is found, e.g., in Ar, Zy. 186, Av.
1681, Lys. 943, Thesm. 898, and Alexander so interprets the words
here (790. 1)—There are, however, occasional references in Aristotle
to the occurrence of singular propositions as the minor premise or
conclusion of syllogisms (e.g. Az. Pr. 43° 37-40), and in the absence
of any evidence of this idiomatic use of ei jm in Aristotle, it seems
preferable to suppose that Aristotle has in mind a syllogism of the
form :
All triangles have their angles = two right angles,
This figure is a triangle.
. This figure has its angles = two right angles.
Cf. An. Post. 71* 19-29 (where the same example occurs).
. This figure has its angles = two right angles.
Cf. An. Post. 71* 19-29 (where the same example occurs).
36. 6p0ai is as much in accordance with Aristotelian usage as dp6ais,
and it is better to keep the better attested reading.
37—1087* 4. GANG piv... éotw. According to the manuscript
reading the argument is: ‘But if the principles are universal, or for
that matter if the substances composed of them are universal, non-
substance will be prior to substance; for the universal is not sub-
Mate btdbes td se welt we ful
M. 10. 1086) 27 — 10877 465
stance, and the element or principle is universal, and an element or
principle is prior to the things of which it is principle and element’.
There is manifestly no argument here; the second clause makes
nonsense of the passage. All that is needed is to insert 4 before gorau
in 1087%1. ‘But if the principles are universal, either the substances
composed of them are also universal or non-substance will be prior to
substance.’ Cf. 10879 21 ézel ei dvdyKy Tas dpxas KabdAov Elva, ava-yKn
kal ta éx TovTwv KaGodov. When the first 7 once came to be mis-
understood as ‘or’, the second was bound to drop out. Syrianus
(164. 36) treats the clause beginning 7% xai as apodosis, and therefore
probably read the second 7.
Aristotle has already (ll. 20-37) shown the difficulties that arise if
the elements of substances be taken to be numerically single. He has
now (1086 37—1087* 4) shown that if the elements are universal,
either non-substance will be prior to substance (which is absurd) or
the substances will be universals ; but this contradicts the very notion
of substances, which is that they are xeywpiopevat, Kal Tov TpdTov TovTOV
ds A€yerau 7a Kal?’ Exacta TOV dvtwv (1086) £7).
Jaeger treats 37 7)... 10872 1 xaOddov as a gloss intended origin-
ally to have come after ovoias in 108741. But the clause goes back
to Alexander (790. 9), and the insertion of 4 cures the passage more
simply.
108724-10, in spite of wdvra, refer especially to the difficulty
expressed in rtocatr’ éora Ta dvta doamep TA oToLyeia (1086? 21,
cf. 108729, 10); ll. ro—25 deal with the other difficulty, od« émurryra
7a. ororxeia (1086? 22).
9), and the insertion of 4 cures the passage more
simply.
108724-10, in spite of wdvra, refer especially to the difficulty
expressed in rtocatr’ éora Ta dvta doamep TA oToLyeia (1086? 21,
cf. 108729, 10); ll. ro—25 deal with the other difficulty, od« émurryra
7a. ororxeia (1086? 22).
5-6. kal .. . kexwptopevov has given much trouble. Alexander has
two interpretations. (1) ‘And when they claim that there is a single
separate avroeidos distinct from the substances which are sensible and
have in them the Ideas’ (791. 2). The Greek evidently will not bear
this meaning. (2) ‘And when they claim that there is a single
abroeioos separate from the substances, i. e. from the Ideas, which have
in them the dpyixov & or avrocidos’ (791. 5). Besides misreading 76
ard eldos aS TO avToEtoos, this introduces a notion which the context
does not warrant, the notion of a hierarchy among the Ideas. The
passage is concerned solely- with the relation between separately
existing substances and their elements. In view of the failure of
Alexander’s interpretations Bz. proposed to omit xa} i8éas, but there is
another interpretation which removes the difficulty. ‘When they
claim that apart from the substances which have the same form there
are Ideas, which are each of them a single separate entity.’ So
interpreted, the two clauses dependent on dray answer exactly to the
original statement of the question, ay dé tis 09 Tas otoias (here = the
Ideas) ywpurrds, rs Onoe Ta. crorxELa Kal Tas dpyas adrdyv ; (1086 19).
4-10. Aristotle here states his own mode of escape from the
difficulty raised in 1086 22-32, just as in ll. 13-25 he states his mode
of escape from the difficulty raised in 1086) 3 2-37.
y. Aristotle says domwep as if he were afterwards going on to state
2573 2 Hh
bili ded
466 COMMENTARY
the true view about the elements of substances, of which the true view
about the elements of syllables is an illustration ; but the dozep clause
gives his meaning sufficiently and the principal clause never appears.
Cf. B. 1000 r n.
Cf. B. 1000 r n.
1g. exeu pev paduor dmoplay tOv AexPévrwy, Aristotle means that
this presents the greatest difficulty not to the, Platonists but to every
one, whatever his views about Ideas may be (1086 15), and therefore
proceeds to modify what he has said (7d Aeydpevov) in 1086 33, that
knowledge is of universals. The modification is contrary to his usual
view, which is that actual knowledge is of universals. The doctrine
of the Posterior Analytics cannot be understood in any other sense,
and other works as well occasionally state the doctrine quite explicitly.
De An, 417% 22 has tév xo exactov Kar’ evépyeav alcOyows, ) O
ériaTypyn tov Kabddov, where the érurjun meant must be 7 Kar
évépyevay as the alcOnois is. Cf. Z. 1039) 27 ray otcrdy TOV aicOytov
tov Kal? éxacta ovre Spirpos ovr damddeEs eéorw. Yet the doctrine of
the present passage is implied in De Ax. 417228 6 8 78n Oewpar,
evtedcxeia dv Kal Kupiws érurtdmevos T68€ 7 A, and, according to one
reading, in ©. 10487 34 (Aéyoper) eriotnpova Kal Tov pt) Oewpodvra, av
Suvards 7 Gewpjoa Té8¢ évepyeia. In neither of these passages is the
doctrine introduced to escape from difficulties such as that put forward
here ; it is a genuine part of Aristotle’s theory, though perhaps incon-
sistent with another part. Usually knowledge is opposed to sensation
as being of the universal while sensation is of the particular, but
occasionally Aristotle admits that knowledge is of the universal in
the particular, as he admits (An. Post. 87 28, De An. 424% 21-24)
that sensation is of that in the particular which is wmzversal. Cf.
pp. Cviii—cx.
17. Bz.’s excision of tod is, in spite of Alexander’s attempt at an
interpretation, absolutely necessary.
22. domep emt Tov dmodetEewv, because dzddevéis must be in the first
figure (Az. Post. i. 14), and in that figure universal premises always
give a universal conclusion.
BOOK N
(B) The tdeal theory treats contrartes as first principles
(ch, 1. 1087 29-33).
1087? 29. All philosophers make the first principles contraries, the
first principles of unchangeable substances as well as those of the
objects of physics. Now, since there cannot be anything prior to
the first principle of all things, the first principle cannot be an attribute
of something else, for then that other would be prior to it. But
M, Yo! 1087" 13-22 467
all generation from contraries implies a substratum, so that all con-
traries are attributes of a subject and none is self-subsistent ; therefore
no contrary is strictly a first principle. .
b4. Now the Platonists make one of the contraries—viz. the unequal
(the dyad of the great and small) or plurality—the material principle,
and its contrary, ‘the One’, the formal principle.
12. Further, they state the first principles badly, whether they
describe the material principle (a) as the great and small, or (6) as the
many and few, or (c) as the exceeding and the exceeded. These
diversities make no difference to any but the verbal objections.
12. Further, they state the first principles badly, whether they
describe the material principle (a) as the great and small, or (6) as the
many and few, or (c) as the exceeding and the exceeded. These
diversities make no difference to any but the verbal objections.
21. If you treat the exceeding and the exceeded in general as the
principle rather than the great and small, you should say that number
in general is derived from the elements previously to the number two ;
but they do not say this.
26. Others oppose (¢) ‘the other’, or (e) plurality, to the One. If
the One has any contrary, it is plurality; but even this antithesis is
wrong, because it would follow that the One is few.
Objections (ch. 1. 1087> 33-2. 1088 35).
(1) Objection relative /o the formal principle.
33. ‘The one’ evidently means a measure. It always has a sub-
stratum, in harmony the semitone, in length the finger, &c., and
generally in qualities a quality indivisible in kind, in quantities
a quantity indivisible to the senses; there is no substantial ‘One
itself’.
1088%4. This is natural, for ‘one’ means a measure of some
plurality, and number a measured plurality or a plurality of measures
(so that one is not a number).
8. A measure must be something common to the things measured ;
‘horse’ is the measure of horses, ‘living being’ is the measure of
a man, a horse, and a god, ‘class’ is perhaps the measure of ‘man’,
‘white’, and ‘ walking’.
(2) Objections relative to the material principle.
15. Those who make the dyad an indefinite something composed
of great and small say what is neither plausible nor possible. For
(a) these are, like odd and even, &c., attributes rather than the sub-
stratum of numbers and magnitudes.
21. (4) Great and small are relative terms, and therefore belong to
the least substantial of all the categories. Relation is an accident of
quantity, and always implies a substratum.
Hh 2
468 COMMENTARY
2g. Its unsubstantiality is shown by this, that of it alone there is no
generation, destruction, nor change, as there is increase and diminution
in respect of quantity, alteration in respect of quality, motion in
respect of place, generation and destruction in respect of substance;
a thing becomes greater or smaller without itself changing, if its
correlative becomes-smaller or greater.
by. (c) The matter of a thing is what is potentially that thing; but
relation is neither potentially nor actually substance. Non-substance
cannot be an element in substance.
4. (d) Elements are not predicated of their compounds, but many
and few are predicable of number, long and short of line, &c.
8. If there is a plurality (e.g. two) which is simply ‘few’, there
must be one which is simply ‘many’ (e.g. 10 or 10,000), But if the
many and few are elements in number, either both or neither should
be predicable of it.
(3) Odjection to regarding eternal entities as composed of elements.
8. If there is a plurality (e.g. two) which is simply ‘few’, there
must be one which is simply ‘many’ (e.g. 10 or 10,000), But if the
many and few are elements in number, either both or neither should
be predicable of it.
(3) Odjection to regarding eternal entities as composed of elements.
14. Can eternal things be composed of elements? If they were,
they would have matter. That which is composite is generated from
its elements, but that from which a thing is generated is that which is
potentially it. Now that which is potential need not become actual.
Therefore that which has matter, however long it lasts, is capable of
not being and is therefore not eternal.
28. Those who make an indefinite dyad the material principle, but
avoid calling it the unequal, avoid only the objections incidental to
making the unequal (a relative term) an element.
The mistake on which the theory rests (ch. 2. 1088> 35-10908 2).
35. The chief reason why the Platonists turned to such causes was
their archaic statement of the problem. They thought all things
would be one, viz. ‘being itself’, if they did not oppose Parmenides’
dogma and prove that not-being is; they thought that if things are
many, they: must be composed of being and something else.
1089* 7. But (r) if ‘ being ’ has many senses (substance, quality, &c.),
what sort of unity will all things be if not-being does not exist? Will
all substances be one, all qualities, &c., or all things in whatever
category they are? It is impossible that one thing (not-being) should
cause the diversity between the different categories.
15. (2) What sort of not-being combines with being to make things ?
Not-being has different senses answering to the categories.
20. Plato means by ‘not-being’ the false; whence it was said that
N. 1. 10884— 2. 1089) 469
we must presuppose something false, as geometers assume the line
which is not a foot long to be a foot long; but in fact geometers
assume nothing false, and this sort of not-being will not account for
the generation or destruction of anything.
26. It is from not-being in another sense, viz. the potential, that
generation takes place.
gi. The inquiry seems to be how being in the sense of substance
is many; for what these thinkers generate is numbers, lines, and
bodies. But it is absurd to ask how there are many substances and
not how there are many qualities or quantities. The indefinite dyad
cannot be the cause of there being many colours, for instance; for then
colours would have been numbers and units.
bg. If they had considered this, they would have seen the cause of
the plurality of substances also; for it must be at least analogous.
This error is also the cause of their treating as the material principle
a relative term (viz. the unequal) which is not really opposed to being
or to the One but is one kind of being.
This error is also the cause of their treating as the material principle
a relative term (viz. the unequal) which is not really opposed to being
or to the One but is one kind of being.
8. They ought to have asked how relations are many; but while
they ask how there are many units besides the One, they do not ask
how there are many unequals besides the Unequal. Yet they use many
unequals—great and small, many and few, long and short, &c.
15. It is necessary to presuppose for each thing that which was
potentially it; the author of this theory indicated what in his view is
potentially substance, viz. the relative—he might as well have said
quality—which is neither potentially the One or being nor the con-
tradiction of them, but a kind of being.
20. Much more, if he was asking how things are many, was it
necessary not to confine himself to substances or to qualities.
24. In the categories other than substance there is another problem
as to how things are many ; no doubt, since they do not exist apart,
they are many through the substratum taking on many qualities, &c.;
but there must be a matter for each category, only it cannot be one
existing apart from substances.
28. But in the case of substance we can see how the individual is
many things, if we avoid the mistake of treating the same thing both
as an individual and as a nature; the real difficulty here is how there
are many actually existing substances.
gz. A ‘this’ and a quantity are not the same, but the Platonists do
not tell us how existing things in general are many, but how there are
many quantities; for every number indicates a quantity and so does
the unit. On the other hand, if a ‘this’ and a quantity are treated as
the same, many contradictions follow.
470 COMMENTARY
On the other hand, if a ‘this’ and a quantity are treated as
the same, many contradictions follow.
470 COMMENTARY
1087? 29. Tis odctas TaUTys, i.e. the dxivytos otcia which has been
the subject of Book M (cf. 1076211), Aristotle has already at 1086 21
passed from the discussion of the Idea-numbers, which were the
axivyntos ovata that the Platonists believed in, to the discussion of the
first principles of the Idea-numbers, so that the transition now made
is really not from the dxivyros otcia to its ‘principles but from one
question about the principles to another. ‘This difficulty is correctly
stated by Bz., but his proposal for its solution, the reading of dzopias
for obaias, does not commend itself; Alexander read otcéas and inter-
preted it as we have done. We have already seen (10868 21 n.) that
there was an early divergence in the manuscripts as to where N should
begin. It might be suggested that the original beginning was at
1086 21 (or 18), and that the present clause or the whole sentence
was added by an early copyist who divided the books at this point
and felt the lack of a formal introduction. But it seems more probable
that 1086418 and 1087229 were two alternative transitions, both
written by Aristotle, to the question of the principles of Idea-numbers,
or in other words that 1086? 18—1087 25 is a fragment which does
not really belong to the main structure of MN but was introduced by
an early editor as dealing with the same subject.
In any case the distinction between M and N as dealing, the one
with dxivnros ovata, the other with its first principles, is not well
maintained ; we hear a good deal in M of the One and the indefinite
dyad.
br. 1000’, i. €. dzroKeipevov TL
3. For the Méyos cf. Cas, 3> 24-27.
4. GN Erépa, i.e. GAN’ 4 apyn érépa.
ol 8€ krA. Aristotle proceeds to show (ll. 4-12) that the Platonists
fall into the error (exposed in ® 36-» 4) of making contraries the first
principles.
5. ot pév = (1, 9) 6 70 dvicoy Kai €v A€ywv. Plato is no doubt meant,
since in M. 1081824 we have «lite domep 6 mpOrtos cimov e€ dviowr.
Cf. Al. 796. 23.
7G tow, which is read by all the manuscripts and by Alexander (796.
26), is difficult, since és rodro tiv tod zANOovs otcay diow explains
why these thinkers opposed 76 dvicov instead of 7AOos to 7d ev, and
this clause would be unnecessary if 76 é& had already been identified
with 76 icov. Jaeger is probably right in treating 7@ tow as a gloss.
6. ot 8€= (1. 8) 7G 8. The expression 7A9O0s seems to belong to
Speusippus, cf. Z. 1028 21 n., M. 10859 n. In the light of the evi-
dence there cited, we may ignore Alexander’s statement that it is the
Pythagoreans (796. 32) or Pythagoras himself (ib. 34) that Aristotle is
referring to. Xenocrates may possibly also have used the expression in
this context (Plut. De An. Procr. ii. 1,2, 1012 Dk, cf, Aet. i. 3. 23).
32) or Pythagoras himself (ib. 34) that Aristotle is
referring to. Xenocrates may possibly also have used the expression in
this context (Plut. De An. Procr. ii. 1,2, 1012 Dk, cf, Aet. i. 3. 23).
12. Alexander reads dpv6ud Adyw & ov, and apparently takes the
words to mean that the unequal, though in point of fact the same
thing as the great and the small, has a different definition. But it
seems more probable that the manuscript reading is right, and that
N. 1. 10872 29— 1087? 27 471
the meaning is: Plato treats the unequal (or the great and the small)
as one and does not draw the distinction that though definable by
a single definition it contains within itself a plurality, sc. the great and
the small. This has more point in the context. Obviously contraries
go in pairs, and Aristotle is confirming his statement that the Platonists
make their first principles contraries by showing that for Plato the
One and the-great-and-the-small are but /wo things. Aristotle himself
in accordance with his usual misinterpretation of the great and small
(cf. M. 108323 n.) insists on treating them as ¢hree (I. 14). This
interpretation is rendered certain by comparison with 1088? r5.
12-13. GANG pv... daodiddacw: i. e., apart from the general error
of making contraries the first principles, the Platonists describe the
first principles or elements badly.
16, ot S€ 73 woAd Kai éXiyov. These thinkers are distinguished from
those who posited the great and small, and, Plato being the chief of the
latter thinkers (the doctrine is ascribed to him by name in A. 987» 20,
26, 988413, 26, Phys. 187217, 203215, 209? 35), the former must be
disciples who modified the expression for the reason here assigned,
viz. that the great and small was more fitted to serve as the principle
of spatial magnitudes than of numbers. The other passages where the
‘many and few’ are referred to are 1088° 18, 1089? 12, A. 992° 16.
17-18. ot S¢. . . Td brepexov kai Td Gepexduevoy. Sext. Emp. p. 531
Bekker treats these as essential terms of the Pythagorean division of
concepts, and Robin (p. 659) suggests that it may be ‘acousmatic’
Pythagoreans of the school of Hippasus that Aristotle has in mind;
but the evidence is too vague to warrant any certain conclusion,
20, 21. Noyids appears to take two somewhat different shades of
meaning according as it is used with dvoxepeias or with dzodeiéets. In
the former case it means, as in I, 1005? 22 Aoyixads duoyepetas, LL.
1221>% tas cuxopartias Tas AoyiKds, very much what we mean by
‘quibbling’ (almost = coduotixal evoyAjoes De Int. 17*36). We
may connect this with the definition of a NoyiKds Adyos as ek Wevdar,
evddgwv d¢ (Top. 162 27). With dzodeiées the meaning seems rather
to be ‘abstract’, cf. G. A. 747° 28 A€yw Aoyixiy (drdderEw) 81a TotTO, dre
dow Kaborov paAAov, Toppwrépw TY oikeiwy éoTiv apxav.
17*36). We
may connect this with the definition of a NoyiKds Adyos as ek Wevdar,
evddgwv d¢ (Top. 162 27). With dzodeiées the meaning seems rather
to be ‘abstract’, cf. G. A. 747° 28 A€yw Aoyixiy (drdderEw) 81a TotTO, dre
dow Kaborov paAAov, Toppwrépw TY oikeiwy éoTiv apxav.
24. Apelt’s proposal of xad for éx rests on the supposition that r7s
dvados means the indefinite dyad, not, as it evidently does (cf. Al. 798.
14), the ideal Two. Cf. A. ggo? 20.
26. of 8... dvtiTOdacw. Alexander (798. 23) refers this view to
‘ other Pythagoreans ’(cf. 1. 6 n.),and with this we may compare Damasc.
De Princ. c. 306 = Arist. fr. 15144 24 “ApiotoréAys O€ év Tots Apxutelois
iotopel kat UvOaryopav “ dAdo” rv VAnv Kadciv. The latter statement
is most improbable, since Aristotle in his preserved works never refers
to the views of Pythagoras. But he may well have ascribed the view
to certain Pythagoreans, and there may easily have been late Pytha-
goreans, influenced by Platonism, who adopted such a view. Cf.
Robin, pp. 650, 660.
27. ot dé wAAQos, cf. 1. 6 n.
472 COMMENTARY
30. atr@. Alexander read avT@ (798. 34), and evidently takes
erepov to be opposed td Tabr6, ‘the same’, and aro to aro, ‘the thing
itself’, But in I. 105415 76 dAdo is opposed to ro Tair, and there is
no trace in Aristotle of such a distinction between érepoy and dAdo;
the two words are synonymous. Presumably one of the thinkers he
is criticizing used the words 76 erepov and 70-rairo, another the words
70 aAXo and tavro.
BI. 8d€ns, i. e. riPavorntos, says Alexander. twos doéys is ‘something
that can really be called an opinion’. Cf. the use of &dogos.
33. To 8 ev dtu pérpov onpatver. This is the strictest sense of ‘one’,
I. 1052) 18, 1053 4
34. Tt €repov droxeiwevoy, something, different in each genus, which
is the subject to which ‘one’ belongs as an attribute.
35. Sieots. Cf A. 1016” 22 n.
36. Bdows means the dipody—cf. schol. in Heph. p. 124 ed. West-
phal Baous 8€ ear 70 éx S00 TodGV GrVETTHKOS, TOD ev Apoer TOD Oe Herer
mrapadapBavopevov ; ib. p. 151 dexerae de (the iambic metre) év pev tH
mpaitn Bdaoe tapBov kal o7rovociov.
35. Sieots. Cf A. 1016” 22 n.
36. Bdows means the dipody—cf. schol. in Heph. p. 124 ed. West-
phal Baous 8€ ear 70 éx S00 TodGV GrVETTHKOS, TOD ev Apoer TOD Oe Herer
mrapadapBavopevov ; ib. p. 151 dexerae de (the iambic metre) év pev tH
mpaitn Bdaoe tapBov kal o7rovociov.
1088?.2-3. 1d pev...ate®jow. Alexander explains (799. 21) that
the finger is indivisible in efSos because it is not divided into fingers but
into half-fingers, which are different in eidos from the finger; while the
dieous is indivisible xara rHv alcOynow because it is the smallest sound—
he means of course the smallest interval. This account of ‘indivisible
in efSos’ is not a natural one, and does not agree with Aristotelian
usage. In Aristotle the phrase seems to apply (1) to infimae species
(B. 999? 3)3 (2) both to genera and to species, in virtue of the core of
identity in each (A. 1016419; Aristotle says there dv advalperov 76
eloos Kata THY alobyow, So that Kad. TO eidos and Kara THY atoOnow is
a distinction not always maintained); this seems to be the meaning
also in I. 10522313 (3) to that which cannot be divided into parts
different in kind from the whole (A. 1014# 27—this contrasts strongly
with the meaning Alexander assigns)—i.e. to elements. In I. 1 the
indivisible in quantity is opposed first to the indivisible in quality
(1052” 35) and then to the indivisible in eidos (1053% 20, cf. De An.
430» 14), and the indivisible in «idos is evidently meant to be the same
as the indivisible in quality. Further, xara ryv aicOyow, mpos THY
ata O@yow is used in describing the indivisible in quantity (1053" 5, 23)-
Evidently, then, 76 pev kata 76 €idos refers to év pev Tois qoLots TOLOY TL,
and 76 dé mpos tiv aicOyow to ev dé Tots Toots tocov 7 (1. 1). The
latter refers to quantitative units such as have been mentioned in
1087 34-37; the former to species and genera, which have con-
ceptual unity (dv 4 vonows pia I, 1052430); of these, instances are
given in ll, 9-14.
5. kat 6 dpwOyds ote mAHRGos pepetpnpevoy Kat APs pétpwr, cf.
A.'1020*'13'n., Z. 10397 12 0.
6-8. 86...é. Sir T. Heath thinks (@%. Aath. i. 69) that this
doctrine may be of Pythagorean origin. It appears in Nicom. J/nérod.
Arithm, ii. 6. 3, 7. 3, and is implied by Euclid (£7. vii, Defs. 1, 2).
N. 1. 1087 30 — 1088 8 473
Some of the Pythagoreans called the unit dpiO0d Kat popiwv jrcOopiov
(Iambl. zx Micom. Ar. Inirod., p. 11.10). Perhaps the first to treat
I as a number were the followers of Chrysippus, who called it rA7j0o0s
ev, magnitude one (ib. r1. 8).
Q. ei immo. . . . dvOpwwos. Lines ro, 11 indicate that the ei clause
should relate not to the measure but to the things measured, so that
Bz.’s conjecture (which is confirmed to some extent by Alexander)
seems necessary. Bywater’s proposal to excise 76 jérpov in |. 8 (J. of
#. Xxxii, 111) does not meet the whole difficulty.
Lines ro, 11 indicate that the ei clause
should relate not to the measure but to the things measured, so that
Bz.’s conjecture (which is confirmed to some extent by Alexander)
seems necessary. Bywater’s proposal to excise 76 jérpov in |. 8 (J. of
#. Xxxii, 111) does not meet the whole difficulty.
15-16, oi S€... prxpod, This is one of the passages which indicate
that Plato used the phrase ‘indefinite dyad’, for 76 dviwov and 76 péeya
kal puxpov are phrases characteristic of his doctrine. For similar
passages cf. rogo> 32—109145, M. 1083” 23-36, and see Robin,
Pp. 643-653.
15. Thy Sudda de. dé has its usual adversative force. The first clause
states the unity of the dvicov, the second its twofold nature (cf. 1087” 9-
12), Thus Trendelenburg’s proposal to omit d¢ is unnecessary.
23. tav katnyopioy is loosely epexegetic of révtwv. The descrip-
tion of relation as the least substantial of the categories is unique in
Aristotle, but cf. 2. 1V. 1096? 21.
25. With et 7 €repoy there is no difficulty in supplying vAy éoriv.
29-35. There is no distinct kind of change which can be called
change in respect of relation, as there is change in respect of substance,
quality, quantity, and place. Change in respect of a relation is
always due to change, in one of these other respects, of one of the
relata. A thing may change in respect of a relation when z¢ does not
change at all, but its correlative changes. This indicates, Aristotle
observes, that relation is a superficial category. The statement that
relation is the only category which has not a specific kind of change
answering to it implies a list of categories including only substance,
quality, quantity, place, relation. This precise list is not found else-
where. But Aristotle probably has in mind a list of eight categories
without kxetoOa. and éyew (which occur only in Cat, 1527, Top.
103 23), and omits wovy and wacyew as being practically equivalent
to xivnors itself (cf. Phys, 22513 = K. 10684 14), and zoré because,
while time is involved in-change, there is obviously no change which
is merely in respect of time.
There is an excellent conspectus of the forms in which the list of
categories appears in Aristotle, in Apelt, Beir. 2. Gesch. d. Gr. Phil.
pp. 140, 141.
The subsidiary character of relation is nowhere stated in the
Categories; this distinction between it and the other categories belongs
more properly to metaphysics than to logic.
b6. kat Xwpls kal Gua, e.g. two is merely few, the largest number
is merely many, but three is many relatively to two, few relatively to
the other numbers.
8-11, «i S¢ 8)... pupa. The sentence is very difficult. Various
solutions of the difficulty may be proposed: (1) The manuscript read-
474 COMMENTARY
two is merely few, the largest number
is merely many, but three is many relatively to two, few relatively to
the other numbers.
8-11, «i S¢ 8)... pupa. The sentence is very difficult. Various
solutions of the difficulty may be proposed: (1) The manuscript read-
474 COMMENTARY
ing may be translated ‘if plurality is a class of which one member is
always few’. This, however, is very unnatural. (2) Alexander 802.
37 says Néyer ei 8€ 8} Kal ori TL TAHOOS, Aeywr Tr TAHOOS THv dvada,
Kal’ 5 TO Erepov popiov THS evavTboews KaTYyopElTal, Coy TO GALyov.
This suggests the reading of 76 pév det, 7d édiyov ; we may understand
KaTyyoperat from 1. 6 (cf, 1. 12). (3) All the difficulties would be
removed by a change of two letters if we read wAjOos 0 Acyopev det
“éd‘yov. But it is hard to see how this could have been corrupted into
the manuscript reading.
10. Bz.’s omission of kat is necessary.
14-28, The argument is:
Things that have elements are complexes.
Complexes have matter.
What has matter is capable of ceasing to be.
What is capable of ceasing to be is not eternal.
Therefore things that have elements are not eternal.
The argument is put forward in opposition to the Platonic doctrine
that the numbers have elements and are eternal.
16. ei kal del éort. Alexander understands as the subject of this
7o €€ ov, But a remark of this sort about the elements would be
irrelevant to the argument. Bz. is therefore right in taking the subject
to be 70 é& abrod dv (cf. 1. 20), There is, of course, a contradiction
in saying ‘it is necessary that whether a thing exists for ever or
comes into being’ (ei cat... Kav ei seems to be = ceive. . . Eire,
Al. 804, 5, though the usage is curious), ‘it comes into being from
that of which it consists’. But the meaning is explained by 1. 20,
‘ however true it be that number or anything else that contains matter
exists for ever, it must be capadle of not being’, So here dvayky
ylyvecOa. must mean something like ‘must be capable of having come
into being’.
18. We must either take toGro 8 ytyveras as predicate of ycyverat or
read TOUTOU 6 ylyverau.
24. év Gddows Adyors. The reference may be either, as Alexander
says, to the De Caelo (I. 12, not I. 7 as Bz. says) or to @. 1050) 7 ff,
It is not safe to assume with Bz. that MN never refer to TEZHO.
28-35. Christ thinks that this section belongs to the latter
part of ch. 1. But it is quite appropriate that after mentioning the
general difficulties (cf. dwAds 1. 14) that attend the derivation of
number from elements (Il. 14-28), Aristotle should now point out that
by giving up the term évoov certain particular difficulties, though not
the general difficulties, are escaped.
dwAds 1. 14) that attend the derivation of
number from elements (Il. 14-28), Aristotle should now point out that
by giving up the term évoov certain particular difficulties, though not
the general difficulties, are escaped.
28-30. The passage suggests at first sight that the description of
the material principle as ‘the indefinite dyad’ was a modification of
an earlier description of it as ‘the unequal’. Yet Aristotle couples
the two phrases as occurring in the same theory (1088415), and
implies that the phrase ‘indefinite dyad’ goes back to Plato (1090) 32
—1091*5, M. 1083 23-32). His meaning here is that owing to
certain difficulties some thinkers abandoned the phrase ‘the unequal’
N. 1. 1088> 10 —2. 1089? 20 415
but retained ‘the indefinite dyad’. Cf. Robin, pp. 643-653. | Xeno-
crates is probably meant, as there is evidence connecting the ee
‘indefinite dyad’ particularly with him (M. ro814 14 n.).
10892 2-6. Aristotle plainly has the Sophzstes in mind ; cf. ‘such
passages aS 237 A, 2505.
4. ob yap... ébvra = fr. 7 in Diels, Vors. In Pl. Soph. 237 a the
best manuscripis are divided between rodr’ otdauq (BT) and roir’ od
dayn (W); here EJ have rodro dayy, APT rotr’ ovdaun, Alexander
has rodro pydapy, and only inferior manuscripts have rotro days.
Simpl. Phys. 135. 21, 143. 31, 244. 1 has rotro dayq (best manu-
scripts), which is clearly the right reading.
5. dvdyxy is the right case after édoge 1. 2; Bz.’s proposal of dvay«nv
is a mistake. Aristotle is thinking of such passages as Soph. 241 D. ek
Tov dvTos Kal dAXov Tivos iS explanatory of otrw, and should therefore
be preceded and followed by commas.
47. 67 seems to be an emblema from |. 8. Cf. H. 1043 34 n.
Q-10. Totoy ody... éotar; ‘What sort of unity will all things that
are constitute, if that which is not be not admitted to be?’ Aristotle
means that Plato hastened to maintain the existence of 70 pm ov without
considering what sort of unity of all things Parmenides’ denial of 76 pi)
év implied—whether a unity of substance, or of substance with all the
other categories.
Aristotle asks ‘ what sort of unity do all things make?’, and interprets
this (]. 10) as meaning ‘ what things make the unity?’. The question
he addresses to the Platonists really is ‘do you mean that all substances
make a one of substance, or that all the categories make a one which
embraces them all?’ Cf. Phys, 185% 20-30.
Bz.’s rota is impossible, and the text needs no emendation.
IL. # wdvta, Kal éorar... onpaiver is evidently meant to convey
the same meaning as the last of the possibilities stated before it. Now
the meaning of kai éorau «rd. is ‘and will substance, quality, &c., form
all together a single unity’. This seems to justify Bz. in reading n
before zdvra. (It is read by JI’, and omitted by EA? Al.) Thus
there are three alternatives. The unity may be (1) a unity of sub-
stance, (2) a unity of quality, &c., separately from substance, (3) a unity
of all the categories. together. -
This seems to justify Bz. in reading n
before zdvra. (It is read by JI’, and omitted by EA? Al.) Thus
there are three alternatives. The unity may be (1) a unity of sub-
stance, (2) a unity of quality, &c., separately from substance, (3) a unity
of all the categories. together. -
12. Bz.’s ov does not seem necessary. é tu = one genus or
category.
12-15. GAN Gromoy... mov, Aristotle now points out that 76 pi dv
will not save Plato from a unity of the third kind, if that was what he
feared. It might divide the world into two parts, but it could not
divide it into ten. ptay dvow twd = 7d py dv. yevouernv, ‘having
been called into play by the doctrine ’,
17. Jaeger is probably right in supposing ¢ivar to have dropped out
by haplography ; this is more likely than that dvOpwmros should have
been corrupted into dvOpwrrov. Alexander’ S 6 pa dvOpwros (806. 16)
is probably only his interpretation of 6 7) dvOpwrrov.
20. Either the manuscript Aéyew or Alexander’s déyer gives a
476 COMMENTARY
possible sense. (1) ‘He means by “not-being ” the false and every-
thing of that sort’. (2) ‘He means the false and calls that kind
of entity not-being’. The manuscript reading is the more idiomatic
(cf. M. 1086> r8-r19n.), and the other has probably arisen from a
failure to understand it.
The reference is to Plato (Soph. 237 4,240), but Plato only says
that there cannot be Weidos unless there is not-being; he does not
identify the two.
21-23. 816... ph} wodvatay, Apparently some Platonist (not, as far
as we know, Plato) argued that, just as geometry has to assume what
is false in order to prove what is true, so philosophy must assume the
false or non-existent in order to explain the true or existent. The
charge against geometry that it makes false assumptions goes back to
Protagoras (B. 99843). Cf. An. Pr. 4935, An. Post. 76” 41.
24. ov yep év TO oudhoyrop@ Fi 4) mpotacis. Alexander: explains (806.
34) ov yap 7 TpoTewopevn Kal ypapopery YPappay év TO ovAoyio pg kat
TH amrodeiée mapohapBdverat, aXN 7 i) voouper. This, however, is an
unexampled sense of mpdracis. Proclus 7m Luci. (p. 203." 6) uses
the term zpéracus for the enunciation of a preposition, tivos dedouevov Ti
70 Cytovpevov éorw; e.g. in Eucl. i. 1 d€dorau eiOeta rerepacpevn
(ib. 208. 4). So too in the case mentioned here the geometer says
dédorax ypappa odvaia and seeks to prove something about it or to
construct some figure onit. But supposing the given line is not a foot
long, what then? It does not matter, says Aristotle; the zpdracis is
not part of the proof. Strictly the weddos occurs not in the zpdracis
or general enunciation but in what Proclus calls the éeous or setting
out of the particular data. But in Aristotle’s time wporacis may have
been used to cover both.
In M. 10788 20 rats rpordcecr is used (in a similar context) in its
more ordinary sense of ‘ premises’.
But in Aristotle’s time wporacis may have
been used to cover both.
In M. 10788 20 rats rpordcecr is used (in a similar context) in its
more ordinary sense of ‘ premises’.
26. To... Kata tds mrdcets pi) Ov, ‘the ju dv taken according to
its different cases’, such as those named in ll. 16-19. ardors is as
general in its meaning as ‘case’ (cf. its use in geometry). The only
exact parallel to the present use in the Aristotelian corpus is £. Z.
121729 70 ayabov ev exdotn TOY TrdcEdY (= Tov KaTnyopLOv) éotL
TOUTWV.
34. 76 Tl éom is in apposition to ro dv, ‘being, in the sense of
substance ’.
35. TOs S€ H ord H Trood, Sc. toAAG oT.
b 3. 76 yap atrd Kat 7d dvddoyoy aitov, ‘it is the same thing or
something analogous that is the cause’. Aristotle means Ay, which
is the same in all the categories, or analogically the same; i.e. in all
things matter and form are in the same relation to one another,
cf,.Z, r029» 23, A. rozo> ry, 26.
12. For wod0 éAtyov cf. 1087 16, 1088» 5-13, A. 992% 16.
16-20 is a digression. Plato defined that which is potentially sub-
stance as 7d dviov, which is a zpdés 7. This is as bad as if he had
said that what is potentially being is quality—which, so far from
N. 2. 10892 21 — 1089) 35 477
being the potentiality or negation of being, is merely one kind of
being.
20. domep éhéxOn, ® 34.
25. émiotaow. Bz. prefers the interpretation of this as = dmdxpiow,
which occurs once in one manuscript of Alexander (811. 27). But
Alexander’s commentary there shows that this is a mere copyist’s
error. Alexander really interpreted the word as meaning dzopiav
(816. 8, 12, 21, 811. 27), and this meaning alone agrees with the
Aristotelian usage of émicracis (cf. Phys. 1967 36, £. £. 1236” 33) and
of épiordvar (cf. 1090" 2 and Jnd, Ar. 305% 2-17). émicracis is an
arresting of the attention, and this is caused by a problem or dzropia.
Bz.’s preference for the meaning ‘answer’ is no doubt due to
the fact that the words immediately following, dia yap ... rood,
answer a question instead of propounding one. But these words are
concessive and preparatory to the problem, which is stated in xafrov...
tav ovovdy. The special difficulty attaching to the minor categories is
that of assigning to each a matter which shall render plurality possible
without being separable from substance.—Alexander is quite at sea
about Il. 25-28.
27. It seems impossible to interpret the etva: after zoAAd. We should
either read «fy dv with Apelt (or éo7. or éorav) or treat eiyar as an
emblema and understand éo7u.
25-28.
27. It seems impossible to interpret the etva: after zoAAd. We should
either read «fy dv with Apelt (or éo7. or éorav) or treat eiyar as an
emblema and understand éo7u.
29. éxeu twa Adyov. Alexander explains as ‘contains a difficulty’,
but the only meaning the phrase seems to have in Aristotle is ‘is
intelligible’ (dnd. Ar. 436% 48-54), and this suits the context perfectly.
Aristotle has assumed in ]. 26 that a tzoxe/uevov becomes and is
many, i.e. comes to have and has many attributes. Now he continues
‘it is intelligible how the individual thing can be many, if we do not
confusedly suppose that a thing can be both an individual and a certain
characteristic ’,—the confusion with which Aristotle habitually charges
the Platonists. If an individual were a characteristic, it could not be
many in the sense of being many characteristics, but there is no
reason why a genuine individual should not be many in the sense of
having several characteristics—Alexander’s interpretation of ll. 29, 30,
adopted with reserve by Bz., seems impossible.
30-31. airy dé... odctar.- ‘ The problem that really arises out of
the facts about substance is this, how there can be many actually
existing substances ’,—not how one thing can be many in the sense of
having many attributes.
82. GAG pry kat ei, ‘but also if’, not ‘ but even if’.
35. ei py... Gdcaiperov. The manuscript reading seems to mean
that if the unit is not some finite measure it is the limiting case of
quantity—infinitesimal quantity ; it is always quantity of some kind.
But dr: is superfluous, and the opposition of pérpov to 76 Kara Td TooOv
dS.atperov is not Aristotelian. Alexander (812. 23) says éfuordve.
Kadds déywr, et pH) dpa H povas od roady, didtt pérpov apiOwod Kai didre
kara toaov ddiaiperos. Cf. Syr. 176. 6. This suggests the reading «i
py pérpov Kal to Katrdé xth, ‘The unit indicates a quantity unless it
478 COMMENTARY
means a measure or what is indivisible in quantity.” ‘Measure’ and
‘indivisible in quantity ’ are not, indeed, absolute synonyms, for the
measure may be an ‘indivisible in quality’ (I. 1053” 4-7), but 7d & is
a measure of quantity primarily (1052) 20, 1053? 5).
For a similar confusion between dru and xaé in the manuscripts,
where Alexander preserves xai, cf. H. 1043828. The error probably
arose from the misreading of a contraction.
Even if ‘unit’ means not a quantity but what is indivisible in
quantity, it refers to quantity and thus confirms Aristotle’s point.
10QO* 1-2. woddds . .. evavtudcers. Alexander (812. 19) mentions
two. (1) If substance is quantity, then since quantity is an accident,
substance will be an accident. (2) Substance as substance will be
a substratum ; as quantity it will be zz a substratum.
CRITICISM OF THE THEORY OF NUMBERS (ch. 2. 10908 2—6. 1093? 29).
(A) Zhe theory that mathematical numbers exist separately
(ch. 2. 1090 2—3. 10gI® 12),
(2) Substance as substance will be
a substratum ; as quantity it will be zz a substratum.
CRITICISM OF THE THEORY OF NUMBERS (ch. 2. 10908 2—6. 1093? 29).
(A) Zhe theory that mathematical numbers exist separately
(ch. 2. 1090 2—3. 10gI® 12),
1090* 2, (1) How are we to be convinced that the numbers exist?
For the believers in Zdeas they act as causes of existing things, since
each number is an Idea.
7. But why should we believe one who sees the difficulties about the
Ideas but posits mathematical number; what causal value has this?
It is not asserted to be the cause of anything, but a self-subsistent
entity, nor does it turn out to be the cause of anything ; the theorems
of arithmetic are true of sensible things, and do not imply self-
subsistent mathematical number.
16. (z) Those who hold that there are Ideas and that these are
numbers (Plato) fail to show why there must be Ideas, and therefore
why self-subsistent number must exist.
20. (6) The Pythagoreans, because they saw many attributes of
numbers belonging to sensible bodies, thought things must be numbers
—not separately existing numbers but numbers of which things were
made.
25. (c) Those who believe in mathematical number only (Speusip-
pus) cannot say this; they only said that the objects of the sciences
could not be sensible things. We maintain that they are. If mathe-
matical objects existed apart, their attributes would not be found in
bodies.
30. The Pythagoreans are free from objection on this score, but in
constructing bodies out of numbers seem to be speaking of other
bodies than those we perceive
Nea2 1OOOt 1-4 479
35. while those who treat number as self-subsistent are open to the
objection made above (1. 29).
b5. (d) Some treat the limits, point, line, and plane, as separate
entities. But (i) at this rate the limit of a walk should be a substance,
and (ii) at all events the limits do not exist apart from the things of
which they are limits.
1g. (2) One might point out that the prior genera contribute
nothing to the later; (a) if number did not exist, spatial magnitudes
could still exist for those who believe in mathematical objects only
(Speusippus) ; and if these did not exist, the soul and sensible things
could still exist. But nature is not episodic like a bad tragedy.
20. (4) The believers in. Ideas (Xenocrates) escape this objection,
for they construct magnitudes out of matter and number, lines out of
the number two, planes out of three, solids out of four, But (i) are
these magnitudes Ideas, or what are they? They contribute nothing
to sensible things, any more than the mathematical objects referred to
above (I. 15).
27. (ii) No mathematical proposition is true of them, unless one
starts a new set of assumptions.
They contribute nothing
to sensible things, any more than the mathematical objects referred to
above (I. 15).
27. (ii) No mathematical proposition is true of them, unless one
starts a new set of assumptions.
32. (c) The first thinkers who believed in both ideal and mathe-
matical number (Plato) cannot tell us how the latter exists. They
make it intermediate between ideal and sensible number. If it is
derived from the great and small, it is the same as ideal number; if
not, the elements are getting rather numerous. If the formal principle
in both kinds of number is a One, how does the One take these two
forms, if at the same time number cannot on Platonic principles be
derived from anything but the One and the indefinite dyad?
091° 5. The theory is evidently like Simonides’ ‘long story’,
which slaves. spin when they have nothing sound to say. The great
and small seem to complain of their ill-treatment; for they cannot
generate any number but two and its powers.
1090* 2—109QI® 12 is a discussion of the doctrine of separately exist-
ing numbers, covering much the same ground as that covered in M. 2,
3, and it seems impossible to detect the distinction Bz. draws between
the two passages: ‘lIllic ipsa rei natura disputandi legem et ordinem
praescribit, hic vero eorum philosophorum, qui res mathematicas per
se esse statuerunt, sententias singulas respicit et refutat.’ M and N
cannot have been meant to form parts of a single treatise; they are
independent essays.
4. etotv. Alexander 812. 30 interprets this as eiot xwpiorod, and
this is confirmed by Il. 1-13.
480 COMMENTARY
TH pev yap iBdas riepdvy. This applies to Plato (cf. M. 1076"
19n.). 16 € «7h. (1. 7) applies to Speusippus (cf, M. 10764 20-21 n.),
Aristotle returns to these two views respectively in ll. 16-20 and in
ll. 25-30, and to both alike in 35-» 5, Thirdly, he discusses the
views of the Pythagoreans in ll, 20-25, 30-35,
11. o60evdg depends on atriov, which can be supplied from atris |. 13.
15. ka0darep ééxOn, M. 3, especially 1077? 17-22.
16-20 refer to Plato, 20-25 to the Pythagoreans, 25-g0 to
Speusippus, 30-35 to the Pythagoreans, 35- § to Plato and Speusip-
pus alike, The views of Plato, who believed in both mathematical
and ideal number, apart from sensible things, of Speusippus, who
believed in mathematical number apart from sensible things, and of
the Pythagoreans, who believed in mathematical number existing in
sensible things, are to some extent played off against one another.
E.g. in» 2 in attacking the view of Plato and Speusippus Aristotle says
the Pythagoreans (6 évayriovjevos Adyos) can make out as good a case
for the opposite view.
E.g. in» 2 in attacking the view of Plato and Speusippus Aristotle says
the Pythagoreans (6 évayriovjevos Adyos) can make out as good a case
for the opposite view.
16-19. The best interpretation of this very difficult sentence seems
to be got by reading, as Bessarion perhaps did, 74 before xard in|, 17,
omitting rd in 1, 18, and reading ¢éorw inl. 19. ‘As for those who assert
that the Ideas exist, and that they are numbers, by their assumption
—in virtue of the method of setting out each term apart from its in-
stances—of the unity of each general term they try at least to give some
account of why they believe number to exist.’ I take the subject of
Zarw to be number, which is the subject of the whole discussion
(cf. ll. gf, 10, 13, 20). It is impossible to say what Alexander
read, except that he does not seem to have had 76, Other attempts
to deal with the sentence are (1) that of Winckelmann, who keeps
the manuscript reading and translates ‘those who posit the Ideas
... try at least to say how and why it is possible, according to
the doctrine which separates each kind of thing from its many
particulars, to assume each to be a unity’. ‘The objections to this are
that (a) 76 is unexplained, and (4) the order in which the words are
taken is intolerably unnatural, (2) Bz. suggests card 10 exOcow. » «
Aap Bdvew. This leaves the difficult rd, and it neglects a passage
which in some respects illustrates the present passage, Z 1031” 21
Kora, THY Exdeow avayKn év tu elvan dppo. (3) Maier proposes TO Kare,
tiv exGeow . .. KapBdvew & 1 exaorov. But if, as he says, the subject
of éorw (sic) is & 1 exaorov, then ro... AapBdvew is left without
a construction, while ifr)... AapBdvew & 1 Exacrov is the subject,
the order is highly unnatural. (4) Bullinger proposes AapPdvovres &
for AapPdvew 7d év, which gives much the same sense as the reading
we have adopted but is somewhat less probable as an emendation,
(5) Prof. Joachim proposes 7 xara. rhv éxOeow exaorov mapa ro. TOG
AapBdvew, &v te Exacrov weipOvrat KTA.
The reading adopted in |. 18 as being the better attested, mws for
mas kai, does not affect the main difficulties of the passage.
17. For the meaning of é«Oeows cf. A. 992100, Z. 1031” 24,
N, 2, 1090% rt — 3, Togo? a1 48r
M. 1086" 10, Ps.-Alexander here describes the process very much
as Alexander describes it in A. 992” 10. The procedure according to
him is as follows: You adduce particular ale@yrd, e.g. Plato,
Socrates, Alcibiades, Dion. You then argue ‘ Man is either the same
as Socrates or different. If it were the same, it would not be also
present in Plato, Therefore it is different from Socrates, and similarly
from Plato and from all the other individuals. There is, therefore, one
thing apart from the many men, and this is man himself. Similarly
with horses, oxen, &c.’
This account of the Platonic éx@ecrs is probably correct.
There is, therefore, one
thing apart from the many men, and this is man himself. Similarly
with horses, oxen, &c.’
This account of the Platonic éx@ecrs is probably correct.
25-26, rots Se... dprOudv, i.e. Speusippus, cl. M. r076® 20-21 n,
These thinkers cannot justify their belief in the substantial existence of
numbers by saying that sensible things are composed of them; their
own language precludes this (cf. 1. rr), They therefore only said that
the objects of the sciences could not be sensible things (adray |. 27
refers to rd aloOyrd ocadara |. 22, dppovia, obpavds, and woAAd dda
Il. 24, 25), and must therefore be immaterial but substantial numbers,
28, etiropev, M, 3.
85-37. Ste... Wuxyy must be taken to give the reason for drodap-
Bavover, not for yopirrdv rowwdvres ; otherwise elvar . .. yeopirrd elvac is
otiose,
37. catver thy woxyy, ‘fawn on, flatter, the soul’, Cf, dadpa yodv
dm dpparov | cave we Soph. O. C. 310.
xwptord, The subject of efvar should be rdv dpBudy (ch lL 35 of 8
xopiordy wowdvres). But Aristotle has, not unnaturally, passed in
thought to a vague subject such as radra; it is not necessary to adopt
Bz.'s conjecture ywopirrdy.
be rot... eat ‘both ...and’, 6 evavriovuevos Adyos Means the
Pythagorean argument (*® 20-25).
&pre HropyOy, ® 29.
5. eiot S¢ twes. The persons meant are probably Pythagoreans.
They seem to be distinguished from Plato (Z 1o28" rp, 19), and
from the Platonists (B. 1002* 8, rr).
Ir, od phy AdAAd answers irregularly to odre 1, 8,
12, lot, se. rd Eoyara ovoriat.
15-16. rd pydev .. . Uerepov. Speusippus’ doctrine is similarly
characterized in Z, 1028 ar (where he is mentioned by name) and in
A. 1075" 37. rots Td padyparixd pdvov evar daudvors (1. 7) also
shows that Speusippus is meant; cf, M. t076% a0-ar n,
1g. eweiodiidys, used in the same connexion in A, 1076" rt.
20-32. A comparison with De An, 404» 16-24 has led some
interpreters to suppose that Plato is referred to, but the phrase xuwety rd
pabyparixiKat roredy Sias reds SdEas (1, 28) at once suggests Xenocrates
(cf. M. 1080» 28, 1086" ro), and this is confirmed by Alexander's inter-
pretation of mpooyAtydpevoe fl gt). From the thinkers here
referred to Aristotle distinguishes in 1, 32 of mpdros, i.e, Plato (of
mporot is replaced by éxeivov in rogt® §).
QI, Todro pev expedyet, ‘this objection escapes’, i. e, fails to hit them,
2673-2 Tt
482 COMMENTARY
There seems to be no quite similar use of éxpevyew in Aristotle, but
cf. €ouxey ovtwot ¥s TKOTOU[LEVOLS diahevyety 1093 9.
26-27. od0ev ydp ...cupBdddeTar, 1. e. Recnocaiee assumption of
paOnparixa which were Ideas does as little to. explain the sensible
world as Speusippus’ assumption of pabywarixa which were not Ideas.
It appears from this passage that as Xenocrates identified ideal with
mathematical numbers, he identified ideal with mathematical figures.
By idcat d0€au is meant the belief in indivisible magnitudes.
It appears from this passage that as Xenocrates identified ideal with
mathematical numbers, he identified ideal with mathematical figures.
By idcat d0€au is meant the belief in indivisible magnitudes.
30. paxpotrovety, cf. pyxivey M. 10836 and paxpds dAdyos
IOgI® 7.
cuveipew, cf. 1093” 27, De Div. 464” 4, G. A. 71644. It is short
for rovs Adyous ovveipew, for which cf. #. NV. 11.47% 21.
BI. TpocyAixspevor Tats Sears TA pOlnpatiKd. mpooyALyouar OCCUTS
with a different construction in A. 98626 «i ti mov diéAeure, mpooeyAi-
Xovro Tod ovveipomevnv Tacay advrois civar THY Tparyparelav. Alexander
interprets (816. 37) ctv ydov7n mpooriOeacr Ta palnpariKd Tals ideas Kal
ideas aita mowtov. yAcxouat occurs with the accusative (Pl. Aipparch.
226 ©, and in some manuscripts of Hipp. Z/. ix. 364 Littré), and it
seems quite possible for the two elements in zpoo-yAiyoua to govern
tais ideas and ra paPnpwatixa respectively, Cf. Hdt. iii, 21 yy addqnv
mpookTacGar TH EwuTOv.
37. The manuscript reading, é& &Aou 8€ twos puKpod Kal peyddou:
Td yap jeyéOn movet, may be dealt with in various ways. (1) We may
omit the colon and the ydép (the reading implied in Bessarion, and
possibly in Al. 817. 7 ; but cf. 814. 14). (2) We may read rivos for
twos, and translate ‘from what other small and great can he construct
mathematical numbers? He already constructs spatial magnitudes out
of one other’. But the supplying of ‘out of one other’ is difficult.
(3) Christ’s weydAov ov is open to the same objection.
IOQI* 2-3. kal ci... ev. Aristotle here passes to the formal cause
and says ‘if some One is the formal principle of each of the two kinds
of number, unity will be something common to these two Ones’.
8-5. The point here is: how can there be this plurality of Ones,
if at the same time, as Plato says, number or plurality is generated
only by the union of One with an indefinite dyad? Plurality, which
is said to involve a material principle, breaks out even in the formal
principle.
3. Taira modkdd, For the absence of the article cf. Xen. Az. iv.
7. 5 dAlyous TovTous avOpwrovs, Lys. 7. 10 téOvnKe Tada tpia érn, and
Kihner, Grech. Gramm. § 465 Anm. 6a.
5. Trendelenburg remarks that here it is only ‘One and az indefi-
nite dyad’, not ¢he indefinite dyad, that is ascribed to Plato. But this
is probably unimportant. Cf, M. 1081% 14 n.
éxeivov. Aristotle has previously said of zpadro: (10g90” 32), but
clearly has had Plato in his mind.
7. & Xiwvidou paxpds AMdyos. The scholiast on Eur. Phoen. 215
quotes a verse from Simonides of Amorgos :
ri radra bud paxpOv Adywy avedpap.ov ;
N, 3. 1cgo> 26 — 10918 15 483
Cf, M. 1081% 14 n.
éxeivov. Aristotle has previously said of zpadro: (10g90” 32), but
clearly has had Plato in his mind.
7. & Xiwvidou paxpds AMdyos. The scholiast on Eur. Phoen. 215
quotes a verse from Simonides of Amorgos :
ri radra bud paxpOv Adywy avedpap.ov ;
N, 3. 1cgo> 26 — 10918 15 483
But Aristotle seems to point to some more striking phrase or passage
than this; further, he never refers by name to Simonides of Amorgos,
and often to Simonides of Ceos, so that we need not doubt that the
latter is meant. Alexander says that in the "Araxro. Simonides
represented the sort of story that a slave will tell to cover his failure in
some duty (fr, 189 Bergk.). Cf het, 141523. Perhaps the
reference is to a mime like those of Sophron and Epicharmus; cf.
Schneidewin in RA. Mus. vii. 460-463. We may compare Eur. /pA.
in Aul. 313 paxpors de doddos dy déyers Adyovs. Antisthenes con-
temptuously called definition a paxpos Aoyos (H. 1043? 25). ‘
10. The great and the small cannot (Aristotle maintains) produce
any number save 2 and its powers, since it is dvoroids (M. 1082 14,
1083» 35). In order to derive other numbers the Platonists had to use
(contrary to their own principles) addition as well as multiplication
(M. 1084* 4).
(B) Adsurdity of ascribing generation to the numbers tf these are
thought of as eternal (ch. 3. 10918 12—4. 10g1* 29).
12. It is absurd to ascribe generation to eternal things, as the
Pythagoreans certainly do. They say that when the One had been
put together the nearest part of the unlimited began to be drawn and
limited by the limit.
18, But the discussion of these thinkers is more appropriate to
physics ; we are seeking the principles of wnmovadle things.
1091° 23. They say the odd is not generated, implying that the
even is, viz. from the equalization of the great and the small. These,
then, must previously have been unequal, so that the account is meant
to be historical, and not merely logical.
1091* 12-29. Bz. points out the connexion between this passage
and 1088 14-35. — Aristotle there showed that eternal things cannot
be constructed out of elements. Here he shows that the Pythagoreans
and Platonists actually proposed to explain the generation of eternal
things.
15-18. This is one of the comparatively few passages which throw
light on the general Pythagorean cosmology. Aristotle’s suggestions
as to the mode of composition of 76 & (i.e. the spatially extended
first unit, M. 1080 20-21 n,) are not necessarily based on any-
thing the Pythagoreans had said; they might be merely derisive con-
jectures of his own, like his suggestions about the constitution of the
Platonic numbers in 10g2* 21 ff. (where owépya occurs again, ib, 32).
But in one respect he uses the Pythagorean terminology, for xpo.ds is
doubtless used in the Pythagorean sense of ‘surface’ (De Sensu
Tia
.
484 COMMENTARY
(where owépya occurs again, ib, 32).
But in one respect he uses the Pythagorean terminology, for xpo.ds is
doubtless used in the Pythagorean sense of ‘surface’ (De Sensu
Tia
.
484 COMMENTARY
439" 30). Aristotle is here referring to the Pythagorean generation of
solids by fluxion from planes, of planes from lines, and of lines from
points. Again, his reference to seed probably implies that some
Pythagoreans thought of the generation of numbers as akin to that of
living things. For the conception of the ‘ nearest parts of the infinite ’
being ‘ drawn and limited by the limit’ (here apparently = the One) cf.
Anatol. p. 30 Heib. (Diels, Vors. 112. 1) rv povaduuny diow “Eorias
tporov ev péow idptoba, Philol. fr. 7 Diels 75 aparov dppoobev, 7d ev,
év TO. peow. Tas opaipas éotia Kadcira, fr. 17 6 KOopos eis eoTiv,
jptato Sé yiyvecOar ard Tod pécov. The ‘infinite’ is the air (Phys.
2048 31), mvedpa (213” 23), or mvon (Stob. Lvl. i, 18. 1 b = Diels
276. 43),—things not distinguished in the early period of Pythagorean-
ism (cf. Anaximenes). The One is thought of as being in the centre
of a shapeless mass of air or vapour and gradually introducing shape and
limit into it, working from within outwards. The ‘drawing in’ is
further described as ‘ breathing’, and the wind or void drawn in is
said to keep the units apart (Phys. 213° 24). ‘This is’,as Prof. Burnet
remarks (Z. G. P. §53), ‘a very primitive way of describing the
nature of discrete quantity’. It will be observed that the Pythagoreans
are trying to describe at one moment the formation of the number
system and that of the physical universe, which is just what on their
principles they were bound to do. The number One is identified with
the central fire, as two was with the earth and seven with the sun,
15-17. &s... O07. For similar tautology cf. Znd. Ar. 538” 33-39.
19. éferdfew tu wept picews. There is much to be said for
Bywater’s proposal e&erdlew év rn rept picews.
Aristotle discusses the Pythagorean cosmology in such passages as
Phys. iii. 4, De Caelo ii. 2, 9, 13.
&s... O07. For similar tautology cf. Znd. Ar. 538” 33-39.
19. éferdfew tu wept picews. There is much to be said for
Bywater’s proposal e&erdlew év rn rept picews.
Aristotle discusses the Pythagorean cosmology in such passages as
Phys. iii. 4, De Caelo ii. 2, 9, 13.
23-29. Though so far Aristotle has mentioned only the Pytha-
goreans (I. 13), he now proceeds to argue that the Platonic account of
the origination of things from the principles is chronological, not merely
logical. For their failure to give any account of the production of odd
number cf. A. 98734n. It is hard to believe that they seriously
denied the derivativeness of odd numbers. Zeller supposes that it was
only the first odd number (3) that they treated as ungenerated, as it is
their original (zpérov) generation of even number that is referred to in
1. 243 if they assumed the number 3 without generating it, they might
be said to deny the derivativeness of odd number, though they
gave a derivation for odd numbers other than 3. Syrianus’ explana-
tion is probably the correct one—viz. that the Platonists were speaking
‘symbolically’; ‘likening odd number to the gods, they naturally say
it is ungenerated, while, taking even number as analogous to things
that have matter in them, they call it generated and liken it to a dyad ;
but none the less they derive the series of even and odd numbers from
the same principles’; i.e. they described the odd numbers as un-
generated because they likened them to the One, the principle of pure
form, and the even numbers as generated because they likened them
to the indefinite dyad, the principle of matter and change.
N. 3. 1091715—4. 10917 28 485
28. o6 tod Oewpioa evexev. Alexander tells us (819. 37) that Aristotle
is here attacking Xenocrates’ interpretation of Plato; for this cf. De
Caelo 279 32 280% 2, which the Greek commentators interpret as
referring to Xenocrates. A similar interpretation of the Platonic
Yoxoyovia as logical, not temporal, was offered by Xenocrates and
Crantor (Plut. Az. Procr. 3. 1013).
From Procl. 7 Lucid. ed. Friedlein, p. 77. 15—78. 8, we may infer
that Speusippus is also referred to.
(C) Relation between the first principles and the good
(ch. 4. 10918 29—5. 1092 21).
2g. It is a difficult question whether the good and the beautiful are
among the first principles or are later.
33. The cosmologists seem to agree with some moderns who treat
them as later owing to the objection which confronts those who make
the One a first principle; but the objection is not to the ascribing of
goodness as an attribute to the principle, but to making the One
actually the constituent element in things.
b4. Similarly the cosmologists say that not the first beings—Night,
Ouranos, Chaos, Ocean—but Zeus rules the world ;
b4. Similarly the cosmologists say that not the first beings—Night,
Ouranos, Chaos, Ocean—but Zeus rules the world ;
8. but those whose treatment is not purely mythical, such as
Pherecydes and the Magi, identify the first generator and the best, as
do Empedocles and Anaxagoras. Of the believers in unchangeable
substances some identify the One with the good, but make oneness its
essence.
16. It is strange if itis not as being good that self-sufficiency and
eternality belong to the primary being; but truly they belong to it
just because it is good. The first principle, then, is good.
20. But that this good principle should be the One, or an element
of numbers, is impossible. Difficulties arise (to avoid which some
make the One the principle of mathematical number only) :
25. (1) Each unit becomes essentially a good, and we get too many
goods.
26. (2) Every Form becomes essentially a good. But if there are
Forms only of goods, the Forms are not substances ; while if there are
Forms also of substances, all animals, plants, &c., will be goods.
gt. (3) The contrary element will be the bad itself. One thinker
avoided describing the One as good, just because it would follow that
plurality was bad. Others accept the identification of the unequal
with the bad.
a
486 COMMENTARY
35. It follows that (a) all things partake of the bad except the One ;
(8) the numbers share it in a purer form than the spatial magnitudes ;
(y) the bad is the place of the good and shares and desires in that
which destroys it; (8) the bad is the potentially good.
1092? 5. These conclusions follow from treating (1) every prin-
ciple as an element, (2) the contraries~as principles, (3) the One as
first principle, (4) the numbers as the primary substances, self-sub-
sistent, and Forms.
g. If, as we have seen, it is impossible either to put or not to put the
good among the first principles, evidently the account of the first
principles must be wrong. It is wrong, too, to argue that because
living things come from something indefinite and undeveloped, the first
principles of all things must be undeveloped; the undeveloped seed
comes from a fully developed parent.
17. Again, it is absurd to make place simultaneous in origin with
the mathematical solids (for they are not anywhere), and to say that
they must be somewhere without saying what their place is.
IOQI* 29—1092° 17. The relation of the good to the dpxai, and the
views of Speusippus and the Pythagoreans about it, have already been
briefly discussed in A. 1072 30 ff.
30. ebmopyjoaytt émtipnow, ‘a reproach to any one who makes light
of it’.
ZI. dmopiav pév. The d¢ clause does not come till » 16.
32. otov Bouddpeba Adyew adits TS dyabdy. Cf. note at beginning of
Book M.
33. mapa pev yép. The d¢ clause does not come till » 13.
1072 30 ff.
30. ebmopyjoaytt émtipnow, ‘a reproach to any one who makes light
of it’.
ZI. dmopiav pév. The d¢ clause does not come till » 16.
32. otov Bouddpeba Adyew adits TS dyabdy. Cf. note at beginning of
Book M.
33. mapa pev yép. The d¢ clause does not come till » 13.
34. Tdv Oeoddywv. Though Aristotle uses Geodoyixy as a Synonym for
first philosophy, GeoAdyo. never means, in his works, anything but the
cosmologists, such as Homer and Hesiod, as opposed to the ducukot ;
cf. B. 10004 9, A. 1071» 27, 1075 26. So Geodroyia Meleor. 353% 35,
Geodoyeiy A. 983” 29.
tov viv tioiv refers, as A. 1072» 31 shows, to the Pythagoreans and
Speusippus.
37. Aristotle does not specify what the dvoyépeua was which Spet-
sippus tried to avoid. He must mean that Speusippus, observing
that Plato (who is meant by évou in 1), through treating the One as
first principle and regarding it as good (cf. A. 988% 14), fell into diffi-
culties (such as those which Aristotle points out passzm), tries to avoid
them, not, as he should have done, by ceasing to regard the abstract
One as first principle, but by ceasing to regard the first principle as
good.
be, Two mistakes are here ascribed to Plato: (1) he regarded the
One as a first principle, (2) he regarded it as that sort of principle which
is an actual constituent element in ils product, viz.in number. A fuller
>
N. 4. 1091% 29— 1091” 10 487
list of the mistakes involved is given in 1092°6: (1) he makes every
first principle an element, (2) he treats contraries as first principles,
(3) he makes the One a first principle, (4) he treats the numbers
as the first substances, separately existent, and Forms. For the differ-
ence between element and first principle cf. A. 1, 3, Z. 1041 31,
A. 1070> 25.
4. of... womnTat of dpxator = of Geodoyor * 34.
For the differ-
ence between element and first principle cf. A. 1, 3, Z. 1041 31,
A. 1070> 25.
4. of... womnTat of dpxator = of Geodoyor * 34.
5. vixra xai odpavdy. Zeller (i.6 122 ff.) enumerates four Orphic
cosmogonies, of which the first is referred to by Plato (Craé. 402 8, Zim.
40 D—4I a) and Aristotle (cf. A. ro71® 26) and described by Eudemus
(ap. Damase. c. 124). Aristotle supposed it to have been put into writing
by Onomacritus (fr. 1475* 44). According to this system, Night came
first and gave birth to Earthand Heaven. The children of Earth and
Heaven were Ocean and Tethys (Orpheus, fr. 12 Diels). Musaeus
is said to have derived all things from Night and Tartarus (fr. 14);
Epimenides, from Air and Night (ff. 5) ; Acusilaus, from Chaos, Night,
and Erebus (fr. 1). Aristophanes (Av. 694) makes the birds sing of
Erebus and Night as the first parents. The chief other Orphic system
is the ‘rhapsodic’ cosmogony dating from the third century B.c. and
described by Damascius (¢. 123), which places Chronos in the first place,
followed by Aether and Chaos, &c. Zeller argues convincingly for
the priority of the first-named system, but Lobeck and others took the
opposite view. Tannery shows in A. G. P. xi, 13-17 that the rhap-
sodic cosmogony differed from the original Orphic cosmogony not by
transforming it so much as by adding to it. For the place of Night
in the cosmogonies cf. A, 1071 27, 1072° 8, 19.
6. xaos. Aristotle is here referring to the Hesiodic system ; he else-
where quotes Hesiod’s ( Zheeg. 116)
>
warroy Rey Tpdricta Xaos yévet’, abrap Erara
yat’ etpvorepves
(A. 984°.27,5P&vs. 208% 30). Acusilaus is said also to have made
Chaos the first parent (frr. 1, 2).
@xeavéy. The reference is presumably to Homer (cf. A. 983° 30
and /7. xiv. 201). The same view is ascribed to Orpheus by Plato
(Cra#. 402 8) and by Eudemus (Diels, Vors. 476. 16).
tourors prev is answered irregularly by éreé xrA. 1. 8.
Q. epexddns. Pherecydes of Syros (a younger contemporary of
Anaximander, ¢. 600-525), placed Zeus (Heaven), Chronos (Time),
and Chthonia (Earth) at the beginning of things (Diels, Vors.* 201.
18, 23, 202. 4),—or Zeus, Chthonia, and Eros (201. 32). It is his
placing of Zeus at the beginning that warrants Aristotle’s statement
about him here. In other respects too his system marks an advance
on earlier cosmogonies (Zeller, i.6 117).
TO. ot Mayor, i. e. the hereditary caste of priests who took the place
of the ‘ fire-kindlers’ of the Zoroastrian religion. They are one of the
six Median tribes mentioned by Herodotus (i. ror).
Diog- Laert. (Prooem. 8) tells us that in the dialogue on Philosophy
438 . COMMENTARY
Aristotle identified their two principles, Ormuzd and Ahriman, with
Zeus and Hades. Eudoxus is said to have visited the East with a view
to acquiring its: astronomical knowledge, and seems to have aroused
in the Academy a deep interest in Zoroastrianism (cf. Jaeger, Arest.
133-138).
COMMENTARY
Aristotle identified their two principles, Ormuzd and Ahriman, with
Zeus and Hades. Eudoxus is said to have visited the East with a view
to acquiring its: astronomical knowledge, and seems to have aroused
in the Academy a deep interest in Zoroastrianism (cf. Jaeger, Arest.
133-138).
12. tovxetov: Love was for Empedocles one of six material elements.
é&pxnv: Reason was for Anaxagoras a motivésprinciple set over against
everything else—not a crovxeiov.
13. Tav 8é Tas dxivyToUs ovclas etvat Aeydvtwy, the Pythagoreans and
Platonists. ‘
oi pév. There is no dé clause, but one can be easily understood,
and Bz. successfully meets Zeller’s suggestion that words to the effect
of ‘others held the good not for the One itself’ have dropped out
before oiciav. ot ev means primarily Plato (A. 988%14); Alexander
and Syrianus cite also Brotinus the Pythagorean, but on this we have no
further information. ot d¢ would be the Pythagoreans in general and
Speusippus (A. 1072» 31), whose view has been stated in 8 34-8,
16-19. ‘It would be strange if to that which is first and eternal and
self-sufficient this very attribute, self-sufficiency and self-maintenance
(= eternality), does not belong in the first place as a good. But truly
it is imperishable (= eternal) and self-sufficient for no other reason
than because its condition or nature is good.’ Aristotle establishes
the goodness of the first principle in two ways: (1) the self-sufficiency
and eternality which it is assumed to possess are good qualities.
(2) It could not have these if it were not in itself good. One is
tempted to read os dya66 in |. 17, but then ll. 18, 19 would merely
repeat what is said in ll. 16-18.
20, tovadtyy = dyabyv, TatThy = Tiv dapxnv tHv ayabyv. It is
impossible, says Aristotle, to suppose that this good first principle is
the One; or even, without saying this («i 7 todro), to describe it (more
indefinitely) as an element, and an element of numbers. (Plato says
that the good is the dpy7 of things; he also says the ororxeta of num-
bers are the dpyai of things. It follows, then, that the good is
a oto.xetov of number, even if it be not expressly identified with the
One.) The reasons for describing this as impossible come in Il. 25-32 ;
Aristotle mentions parenthetically in ll. 22-25 the attempt made by
some thinkers (evidently Speusippus is meant; cf. M. 1076* 20-21 n.)
to escape the difficulties.
22-25. Speusippus attempted to escape the difficulty by doing away
with the ideal numbers and treating the One as the starting-point of
mathematical numbers only, so that no goodness need be assigned to
it and no superabundance of goods be produced from it (I. 26 woAAy
Tis evrropia éyabav).
25. Sep dyaQdy tT, species of the genus good, cf. T. 1003) 33 n.
26 woAAy
Tis evrropia éyabav).
25. Sep dyaQdy tT, species of the genus good, cf. T. 1003) 33 n.
28. ‘If there are Ideas only of the qualities which are the species
of the quality good, the Ideas (will not be Ideas of substances and
therefore) will not be substances.’ For the missing step of the
argument cf. A. 990 29—g91 2 1.
N. 4. 1091212 —5. 1092421 489
32. 6 wév = Speusippus; cf. M. 108529 n., 25 n. His theory
differs in two ways from that of Plato: (1) (1. 23) he treats the One
as principle only of mathematical number (the only kind of number he
believed in); (2) (I. 33) he did not connect the One and the good,
but described the good as coming in only at a later stage of the
evolution of the world (#35). But*how is this to be reconciled with
the statement (/. WV. 1096? 6) that he placed the One ey rp rv dyabdv
ovoroxia? Aristotle must mean that Speusippus put the One in the
series to which all good things belonged, though he did not think of it
as itself a good.
- 35. ot 8€ = Plato and Xenocrates.
37—10927 I. paddov axpdtou. . . peyéOn, sc. because the numbers
are more directly derived than the spatial magnitudes from the original
material principle. Spatial magnitudes are ‘the genera posterior to
number’ (M. 1085? 7),
1092 I. xépav etvar, a reminiscence of Zim. 52 a B. Cf. Phys.
209? 11.
2. dpéyecQar tod POaptikod, cf. Phys. 1924 18-25.
3. For parallels to the superfluous om cf. Jud. Ar. 872" 39-48.
12. tus, 1.e. Speusippus; cf. A, 1072? 30-34 n.
13-15. Speusippus’ argument is represented as follows:
(1) The One is the beginning of all things.
(2) All beginnings are imperfect.
Therefore the One is imperfect.
From this Aristotle draws a consequence of his own probably not
drawn by Speusippus :
(3) What is imperfect cannot be said really to be.
The One is imperfect.
Therefore the One is not.
Aristotle denies the premise numbered (2) above.
17-21. The charge of ‘producing place simultaneously with the
mathematical solids’ and of ‘assigning place to them without saying
what their place is’ has little connexion either with what precedes or
with what follows. Alexander takes it to refer to Plato; but Plato’s
xépa (which Aristotle often refers to as rézros, e.g. Phys. 208” 7, 209% 8,
b 15, De Caelo 309 24-26) was eternal. It seems more probable that
(as Ravaisson, Brandis, and Zeller suppose) Speusippus is referred to.
In that case the section continues the attack on him made in I]. rr-17.
Syrianus throws some light on the later Platonic theory of place or
space by saying that four kinds were recognized—the place of physical
bodies, that of @vvAa «iS (viz. matter), that of mathematical bodies
(viz. davracia), that of dvdor Adyou (4) dvw OF SiavontiKi Yux7).
_ 21, 6 témos, ‘dherr place’, which is evidently not the same kind of
place that sensible solids have.
490 COMMENTARY
matter), that of mathematical bodies
(viz. davracia), that of dvdor Adyou (4) dvw OF SiavontiKi Yux7).
_ 21, 6 témos, ‘dherr place’, which is evidently not the same kind of
place that sensible solids have.
490 COMMENTARY
(D) Relation between number and tts first principles (ch. 5.1092" 21 8),
21. These thinkers ought to have distinguished the meanings of
‘from’ and then told us in which, sense number is derived ‘from’ its
principles. Not by mixture, for (1) not-everything can be mixed;
_(2) what is produced by mixture is different from its elements, so that
the One would then not exist apart, as they want it to do.
26. Not by composition, for (1) that implies position ; (2) number
would then be two distinct things, the unit+ plurality. Number cannot
be derived from elements which inhere in it (for this applies only to
things that are generated), nor as from seed (for nothing analogous to
seed can come off from the indivisible One).
33. Is it derived from its contrary? This implies a substratum
which persists. These thinkers seem to derive number from con-
traries; a substratum therefore is implied.
bg. Again, why are all other things that are derived from contraries
or have contraries perishable, while number is not? The contrary of
a thing a/ways tends to destroy it.
1092 21-» 8. This section seems to refer primarily to Speusippus.
Cf. Introduction, p. Ixxii.
22-23. Svehopevous ... eotiv. Aristotle's suggestions here as to the
sense of éx have little connexion with his classification in A. 24,
24. piger, cf. A. 9891 n. Two reasons are given why the One
cannot be supposed to be ‘mixed’ with the great and small. (1) Not
any and every sort of thing can be mixed. This follows from the
definition of the puxrdv as 6 dv edépirtov bv rabytiKov 7 Kal rounTiKoy
(De Gen. e¢ Corr. 328 20); again piyvuta dv Ta eoxara ev (De Sensu
447* 30). Further, irdpxeuv def ywpiorov éxdrepov Tov pryOevTwv TOV
de rabdv ovfev xwpiotrév (De Gen. ef Corr. 324> 21), and great and
small are dy (1088417). pigs is an affair of material things, and
to speak of it as existing between the One and the indefinite dyad is
a mere metaphor. (2) The product of mixture is something different
from its elements, so that after the mixture had been achieved the One
would no longer exist as a separate and distinct entity; cf. De Gen.
et Corr. 327% 22-26 for the doctrine that the constituents exist only
potentially when once the mixture has been made.
The second te in |. 25 serves to introduce not, as Bz. supposes,
a third argument, but (as Alexander takes it to do) the second part
of the same argument.
26. 4ddd ouvOécer. oivOeors differs from piéis as mechanical from
chemical combination (De Gen. ef Corr. 3284 3-17).
30. €oT. pev . . . od. Alexander says Aristotle is here subdividing
ctvOeots. It seems more likely that pigis and ovvOeors are treated as
ST. ALBERT’* ~~" °°" LIBRARY
IN LOO2? 293 4 491
oivOeors differs from piéis as mechanical from
chemical combination (De Gen. ef Corr. 3284 3-17).
30. €oT. pev . . . od. Alexander says Aristotle is here subdividing
ctvOeots. It seems more likely that pigis and ovvOeors are treated as
ST. ALBERT’* ~~" °°" LIBRARY
IN LOO2? 293 4 491
subdivisions of generation é& évyrapxovrwv, from material constituents
present potentially (in the case of pigs) or actually (in the case of
avvOecrs) in the resultant. From this is to be distinguished the
generation of a thing from an efficient cause which is zo/ present in
the thing (A. 10238 26, 29; cf. 1013 4, 7, A. 1070? 22 for the meaning
of évurdpyeuv).
32. GAN’ es dard oméppatos ; Cf. 1091716. Alexander (825. 30) takes
this as an instance of ds é« px evutapxovrwv, as adda. suggests, and takes
yéveors to refer to artistic production. Bz. supposes that édAd indicates
not as in Il. 26, 33 the transition to a fresh alternative, but as in Il. 24, 27,
32 (GAN ody oiov krA.) an objection to the alternative under discussion.
‘Only those things which yiyvera: can be said to be é éevyrapydvtuv.
But can we suppose that number yiyvera: ds dd orépparos?’ Bz. is
evidently right as against Alexander in saying that yéveous cannot =
artistic production as against natural generation. It either means
natural generation as opposed to artistic production or includes both
(Z. 1032% 26). On the other hand, Bz. seems not to be right in taking .
ws ard oméppatos to be a case of ws é& evuTapydvrwv. o7méppa, NO
doubt, means sometimes the seed of plants, in which the male and
female elements are united, and which may be said to be ‘ present in’
the plant that grows from it; but it seems more likely to mean, as it
constantly does, the male element in animal reproduction, which is no
part of the offspring but only its efficient and formal cause (G. A.
729” 1-21, 35, 730” 10-19, 716% 4-7, 765” 11).
The supposition that number comes from its principles ds e& evv-
mapxovrwy is sufficiently refuted by the answer that it is only things
that are generated (whether naturally or artificially) that are é€ évu-
mapxovrwv—while the numbers are eternal (cf. 1088 14-28). as did
o7repparos is one form of as éx py evuTrapyYovTwy. ;
GAN obx ofdy Te Tod Adiatpérou Ti dmeAOetv. Bz. interprets thus:
“To explain growth from seed, something must be supposed to come
off from the seed; but nothing can come off from the indivisible One’.
But it is no part of Aristotle’s theory to suppose that in generation
something comes off from the seed; rather the seed comes off from
the male parent (for this use of dwedOeciv cf. Meteor. 4669, P. A.
641° 34, G.A. 721 12 ef passim).
But it is no part of Aristotle’s theory to suppose that in generation
something comes off from the seed; rather the seed comes off from
the male parent (for this use of dwedOeciv cf. Meteor. 4669, P. A.
641° 34, G.A. 721 12 ef passim).
33. GAN ds ek Tod évaytiou py Gmopevovtos; Aristotle now passes
to another case of production é« pi) évurdpxovros. Production from
a contrary which does not persist (cf. a. 994% 24, 30) is dAAoiwors, not
yeveots amdh ; for yéveois arAF is yeveots Kara. THY ovciay, and an ovcia
has no contrary (1087 3 n.); yéveows dAf is peraBodr Kat’ dvribacw,
from the absence of a substance to its presence, not from one contrary
to another (PAys. 2252 12-17), and it involves no persisting sensible
substratum (De Gen. e¢ Corr. 319» 14, 33), while the kind of production
here in question does involve such a substratum (109 2° 34).
34-3. The argument against the suggestion that number comes
from a contrary which does not persist runs thus: ‘What comes from
its contrary presupposes also something that persists. Now number
492 COMMENTARY
is represented as coming from contraries. Therefore there must be
something else, from which, as well as from one contrary, number is
produced’. The reasoning is evidently fallacious. The major premise
states that when A is produced from zs contrary B, a substratum C is
presupposed. The minor states that number is according to the
Platonists produced from /wo contraries. Production of a thing from
its contrary, and production of a thing from.two contraries, are quite
different, and there is a fallacy of four terms. Aristotle perhaps means
to say that instead of deriving number from the One and plurality the
Platonists should have derived it (since it is itself plurality) from the
contrary of plurality, viz. the One, and from something which can be
the substratum at one time of oneness, at another of plurality, as the
change from white to black implies a substratum which can be either ;
but if this be his meaning, he does not express it clearly.
35- 6 pév. In the light of 1091 32 and A. 1072? 31 it is clear that
this means Speusippus; cf. M, 10859 n.,5n, Plutarch (De An.
Procr. ii. 1. 2, 1012 D £) tells us that Xenocraées spoke of the material
principle as plurality, but of this we cannot be so sure. 6 8€(?1)
means Plato,
b4. dca e€ évaytiwy contains the ambiguity commented on in the
note on *® 343; it might mean things of which each is produced
from its contrary, or things each of which is produced from two con-
traries. Kav ék wavrds 9, ‘even if all the contrary is used up’ (which
refers to this case alone, not to ois éorw évayria) shows that the former
is meant. The contrary which has been used up in making a thing
is conceived of as still potentially present in it (évurdpxov |. 6) and
capable of destroying it, no less than a contrary which is outside the
thing (1) évurdpxov).
7. otov 7 veikos 76 piypa, in Empedocles’ system.
(E) Mumbers as causes of other things (ch. 5. 1092” 8—6, 1093 29).
6) and
capable of destroying it, no less than a contrary which is outside the
thing (1) évurdpxov).
7. otov 7 veikos 76 piypa, in Empedocles’ system.
(E) Mumbers as causes of other things (ch. 5. 1092” 8—6, 1093 29).
8. We are not told how numbers are the causes of substances,
whether (1) as boundaries (as points are of spatial magnitudes, or as
Eurytus determined the number of each thing by counting the pebbles
he used in tracing its outline), or (2) because harmony, man, and every-
thing else is a ratio of numbers. ,
15. But (1) how can attributes, like white, be numbers? (2) The
ratio is the substance of a thing ; the number is merely matter. ‘The
number is always a number of something, of portions of fire or earth or
of units; the substance is ‘so much to so much ’, i. e.a ratio of mixture
of numbers.
23. Thus number is neither efficient, material, formal, nor final
cause of things.
N. 5. 1092% 35 — 10928 493
26. What is the good that comes from the fact that a mixture is
expressible in numbers? (1) It is more important that honey-water
should not be too strong than that its elements be in any particular
ratio,
30. (2) The ratios of mixture involve not numbers merely but the
addition of numbers, not ‘thrice two’ but ‘three of one to two of
another’, while in multiplication the genus must be the same.
1093°1I. (3) Ifallthings share in number, (a) it does not follow that
a thing’s number is its cause, (4) many things have the same number
and will therefore, on the theory in question, be the same.
1g. There are seven Pleiads and there were seven against Thebes,
but the nature of the number seven is not the cause of their being
seven,
20. They say there are only the three double letters, BWZ,
because there are just three concords ; but the number is in either case
arbitrary. We are reminded of the methods of the old Homeric
scholars. Other numerical comparisons which the Platonists make
are equally frivolous,
b, The lauded characteristics of numbers are not causes in any of
the senses of ‘ cause’ ; but these thinkers do show in a sense that good-
ness belongs tothe odd, the straight, &c. There is a sort of correspon-
dence between the straight in length, the even in breadth, the odd in
number, the white in colour.
at, (4) It is not the ideal numbers that are the causes of harmonic
relations and so forth (for equal ideal numbers are different in kind), so
that this affords no reason for believing in Ideas.
24. These difficulties show that mathematical objects are not
separate from sensible objects, and that the first principles are not those
which these thinkers put forward.
1092» 8—109329. Aristotle now passes from the alleged genesis
of numbers to the alleged genesis of things out of numbers. The
following considerations show that he has in mind the Pythagoreans
and perhaps also the Platonists who most resembled them :
(1) The mention of Eurytus.
1092» 8—109329. Aristotle now passes from the alleged genesis
of numbers to the alleged genesis of things out of numbers. The
following considerations show that he has in mind the Pythagoreans
and perhaps also the Platonists who most resembled them :
(1) The mention of Eurytus.
(2) The reference to the connexions established between numbers
and movements of sun and moon, and the periods of animal life
(1093* 4-6, cf. A. 986% 3-8).
(3) The reference to the significance of the number 7 (1093* 13).
(4) The reference to the two cvororxias (1093° T1-14).
It is only at 1093 21 that Aristotle turns to the Platonic theory of
Idea-numbers.
8-15. Mr. Cornford suggests with much probability (Class. Quart.
494 COMMENTARY
xvii. ro f.) that the second of the alternatives here mentioned, the view
that ‘things embody or represent numbers, not are numbers ’, is the origi-
nal Pythagorean doctrine; and that the first alternative, ‘the crude
materialistic view... that things ave numbers, and numbers consist
of monads, which are the terms or boundary-stones (6po.) marking
out the void “ field” (yépa) in the geometrical patterns of numbers
“figured” by pebbles’, is-a later, fifth-century doctrine. Aristotle’s
doubt as to the meaning of the Pythagoreans may well be due to his
not having distinguished successive phases of their doctrine. Cf.
M. 1080? 16 n.
10. We may infer from Theophr. Ae/, 11 Wimm, = 312. 15 Br.
that the source of Aristotle’s information about Eurytus was Archytas.
Eurytus belongs to the beginning of the fourth century; he was
a disciple of Philolaus. Alexander tells us that his method was to
sketch the outline of, e.g., a man with coloured pebbles, and then to
say that the number of pebbles he had used, say 250, was the number
ofman. ‘This is a travesty of the method of limits according to which
the early Pythagoreans represented the line by the number 2 (the
number of points required to determine it), the surface by 3, the solid
by 4 (cf. Z. 10368 n.).. The same process was as it were worked
backwards when the numbers were ‘reduced to the forms of triangle
ane square’ (l. 12). 3 (.*.), 6 (.:) and all numbers of the form
“** were triangular (cf. Plut. Plaz. Quaest, 2.1003 F). Nicomachus
of Gerasa (Introd. Arithm. ii. 8-11) and Theo of Smyrna (pp. 31-33
Hiller) represent numbers by a’s arranged in various geometrical
patterns:
I 2 3 4 5 6 9
a aa a aa a (9 ee Aas 3 aaa
aad aa aa a aa a ae
ag aad
Plut. Plaz. Quaest, 2.1003 F). Nicomachus
of Gerasa (Introd. Arithm. ii. 8-11) and Theo of Smyrna (pp. 31-33
Hiller) represent numbers by a’s arranged in various geometrical
patterns:
I 2 3 4 5 6 9
a aa a aa a (9 ee Aas 3 aaa
aad aa aa a aa a ae
ag aad
‘Square’ and ‘cube’ survive as names for kinds of numbers; ‘linear’,
‘plane’, ‘solid’, ‘ triangular’, ‘ oblong’, ‘ pentagonal ’, and other names
which belong to the same geometrizing order of thought have passed
out of current use, but, as Prof. Burnet observes, we still represent
numbers in this Pythagorean way on dice and dominoes, and we still
call numbers figures. On ‘figured numbers’ cf. Heath, Hucld,
vol. ii. 288 f., Gk. Math. i. 76-84, Burnet, L. G. P.§ 47, G.P. 53,
Iamblichus, Zxfrod. p. 56. 26 ff. Pistelli. According to Lucian (Biwy
mpacis 4) the ‘triangular numbers’ were recognized by Pythagoras
himself,
13. utd is surprising when the instances given have been man and
horse. Christ conjectures Cgwv xal durdv from Alexander (827. 26),
but it is by no means clear that Alexander read this (cf. 826, 35), and
it seems more likely that Aristotle uses durdv in its older and wider
sense of ‘living being’, which is found in Plato (Soph. 233 8 8, Rep.
N. 5. 1092510 —6. 1092 29 495
401 44, Zim.goAa6). Aristotle may be quoting from Archytas’ account
of Eurytus,
15-16. 7a 5é 8h wdOn. . . Oepudy. This is an objection to the first
suggested mode of treating numbers as causes of things (Il. 9-13);
you can make an outline of a man, but how are you to sketch the
outline of a aOos?
16-17. om 8€... SHAov is an objection to the second suggested
mode (Jl. 13-15); if harmony is a Adyos dpufyav, the numbers are
merely the matter, the ratio is the essence.
18. 68 dp.Opds dAy is in verbal contradiction with ovre vAy |. 24,
and Schwegler would read tags (cf. Al. 827. 40 6 d& dpibuds... 7d
moaov éort THS ExdaTou VAys). Aristotle’s view, however, is that ap. .0s
cwparixds (1. 22) (i.e. amounts of certain simpler forms of matter,
numerically determined) is the vAy of a compound, though dpibpuds
povaducos (1. 20) is not the vAy of any material thing but only the
measure of its constituents; so that both statements are true, though
of number in different senses.
19. Tpia mupds ys S€ SUo. This suggestion is clearly framed on the
analogy of Empedocles’ analysis of bone—
tas S00 Tav éxrd pepewy Ade Nyoridos aiyAys,
téccapa 8 “Hdaicrowo: ra 8 doréa AevKa yévovto (De An. 4107 5).
GpiOpos ... mupivos 4 ynivos. Cf. the dpiOuot pydtra, piadtras,
numbers of apples (or of sheep), of bowls, &c,, which Geminus
(cf. Procl. 7 Eucl. i, p. 40. 2-5) and the scholiast on the Charmides
(165 £) describe as studied by Aoyrrixy in distinction from dpibpntixy
(Heath, Atst. of Gk. Math. i. 14, ii. 442).
mupivos 4 ynivos. Cf. the dpiOuot pydtra, piadtras,
numbers of apples (or of sheep), of bowls, &c,, which Geminus
(cf. Procl. 7 Eucl. i, p. 40. 2-5) and the scholiast on the Charmides
(165 £) describe as studied by Aoyrrixy in distinction from dpibpntixy
(Heath, Atst. of Gk. Math. i. 14, ii. 442).
25. If number is in no sense the cause of things, how is it related to
them? Aristotle nowhere gives a positive theory of number (the nearest
approach is in M. 3), but his answer might be that number is an
oixetov 7aOos of their matter.
27. év edhoyiot» means not, as Alexander says, éy dpriy, i.e. in
a ratio like 1:2 or 1: 4, but ‘in an easily reckoned ratio’ (illustrated
in De Sensu 439° 25—4402 6 by 3:2 and3:4). It excludes (r) ratios
of which either term is an irrational, and perhaps also (2) ratios which
cannot be expressed in terms of numbers within the series 1-10,
28. év mepitta, in a ratio like that of 1:3 (Alexander) or possibly
like that of 2:3 (~:2+41). For the virtues of the odd number
according to the Pythagoreans cf. A. 9864 18 n.
tpis tpta. The meaning of this difficult phrase is clear from 1. 32.
Aristotle supposes the Pythagoreans, when they say tpis dvo, to mean
‘three to two’. When they gave zpis zpéa, then, as the recipe for
peAtkpatov, they meant that if you take three parts of honey you must
take three parts of the other ingredient (milk in Homeric times, later
water). Alexander’s mention of a third ingredient, saffron, seems due
to a misinterpretation of zpis tpia; it is contrary to his statements
about pAikparov elsewhere and to those of other writers. Cf,
Columella xii. 12.
29. év ob8é Adyw. Aristotle does not mean that the constituents
496 COMMENTARY
could be in no ratio; he means that the particular ratio does not
matter provided there is enough water.
30. axparoy, not of course absolutely dxparov (for then there would
be no ratio), but axparéorepor.
30—109371. Aristotle’s statement that ‘3 to 2’, not ‘3 times 2’,
is the right way of stating the formula ofa mixture is evidently right.
A mixture is got not by taking the same thing over and over again
but by taking two or more things in a given ratio. Multiplication
means the addition of things of the same kind (1d aird det yévos ctvat
év tats rokAarAacuiceow |. 32).
A mixture is got not by taking the same thing over and over again
but by taking two or more things in a given ratio. Multiplication
means the addition of things of the same kind (1d aird det yévos ctvat
év tats rokAarAacuiceow |. 32).
If a given kind of body could be properly represented as ABT, i.e.
as IX2X 3, it must be ‘measured by A’, i.e. it must consist
of a unitary amount of some substance, taken six times. If another
kind of body could be properly represented as ABZ, i.e.as 4X5 X17,
it must similarly consist of four portions of some substance, taken 35
times. dore rd aird ravra (sc. det perpeio Bar) (1. 35) Seems to mean
‘so that all the things i in whose formula a certain number occurs must
consist of a larger or smaller number of portions of a single elemen-
tary substance’. It follows that the number of fire cannot be BETZ
(2x5xX3%X7) and at the same time the number of water 2x3.
2X5X3X7=6X35, and a unitary amount of fire would simply
consist of 35 unitary amounts of water (which Aristotle treats as absurd).
1093*1-1g. There seem to be two arguments used here, (1)
ll. 3-9. If all things share in number (this is not a mere concession to the
adversary, but is Aristotle’s own view), there is nothing surprising in the
fact that some things (e.g. the periods of movement of sun and moon,
the periods of the life of animals) should be designated by square and
cube numbers, or by numbers related as equal or as double and half
to one another. This is no warrant for treating the numbers as the
cause of the phenomena. (2) Il. 9-13. It was assumed that different
things could fall under the same number. Then, onthe view which is
being considered, they will be the same thing, which is absurd.
This interpretation involves treating sober te l. 9 asnot depending
on «i (Bekker, Bz.) but starting a fresh sentence. re often introduces
a new objection (e. g. A. 991 27).
4. For the number of the motions required to account for the
motions of the sun and the moon cf. A. 1073? 17, 35.
8. dvdykn év TouTois otpépeo Par, ‘all things must move within these
limits’ (i.e. be designable by square or cube, equal or double, numbers);
ch, KikXw otpédecOau.
12, The sun and the moon on Aristotle’s view have, each of them,
five proper motions (A. 107317, 35), and this makes them a good
enough illustration of his meaning. The Pythagoreans themselves
assigned dzfferen/ numbers to them (2, 7).
13-» 4. Syrianus says that no important Pythagorean quoted triviali-
ties such as those which Aristotle here ridicules, as instances of the
power of numbers. He refers to the Pythagorean Prorus as having
written about the number 7 (the treatise really belonged in all proba-
N. 6. 1092 30 — 10939 24 497
Syrianus says that no important Pythagorean quoted triviali-
ties such as those which Aristotle here ridicules, as instances of the
power of numbers. He refers to the Pythagorean Prorus as having
written about the number 7 (the treatise really belonged in all proba-
N. 6. 1092 30 — 10939 24 497
bility to Alexandrian times, Diels, Vors, 267. 22), but says he confined
himself to showing how many things ‘nature does in seven years,
months, or days’; while others wrote about the number 10. He
retorts on Aristotle by pointing out that Aristotle himself does rever-
ence to the number 3 in the De Caelo (2684 13), and forcibly reduces
the flavours and the colours to seven each (De Sensu 442219). On
the number 7 in Greek cultus, mythology, philosophy, and medicine
cf. Roscher in Adbh. der phil.-hist. Kl. der K. Sachs. Gesellschaft d.
Wissenschaften, vols. xxi, xxiv, esp. xxiv. 24-43 on the Pythagoreans.
The numerical fact about 7 which interested the Pythagoreans was that
within the decade it alone has neither product nor factor (Philol. fr.
20 Diels).
14. xopdat 7 dppovios (JA*T Al.) is not very natural, since seven
chords are very different from seven modes or harmonies. E’s reading
xopdal 4 dppovia is strongly confirmed by Prod. 9184 13 (= 922 3)
Awa zi of dpxaio. éxtaxdpdovs mowidvres dppovias kth. Cf. g1g) 21
(= 922% 22). Alexander finds a difficulty in reckoning seven
harmonies (832. 20).
év émra Sé d8dvtas Badder, cf. Solon fr. 27. 1 Bergk.
15. evi ye, eva 8 ov. The horse, e.g., does not, H. A. 5764 6.
1g. thy S€ dpxtov ye Sd8exa. Galen (ix. 935 K.), who evidently has
this passage in view, says that seven stars were reckoned in each of the
two Bears, and the same account is given in Philo de Mundi Opif. 39.
114, Anatol. p. 36. 4 Heiberg, Hermipp. Beryt. ap. Clem. S¢rom. vi.
16. 143. 1. Ptolemy, however, assigned 27 stars to the Great Bear,
and Hevelius, much later, assigned 12.
oi 8€ (XaAdator Al.) mhetous. We know that the Chaldeans had a name
for the Bear, viz. Narkabti, but we do not know how many stars they
reckoned in it. Cf. Ginkel in Kiz0, vol. i. 5.
20-21. om... tpia. Alexander says that £ was connected with the
fourth, € with the fifth, y with the octave.
21. Sri Sé pupia &v ein toaita. Tannery has published (Bull. de
Corr. Hell. xx. 422) a table of the fourth century B.c. found at Delphi
giving simple symbols for various groups of consonants.
22. ei 8 ot, ‘if they say that’; cf. pacity |. 20. ‘If they meet our
objection (that there are many combinations of letters for each of
which a single sign might be devised) by saying that € y ¢ are the only
combinations each of which takes twice as long to pronounce as
a single consonant, and if the cause of this is’, etc.
pacity |. 20. ‘If they meet our
objection (that there are many combinations of letters for each of
which a single sign might be devised) by saying that € y ¢ are the only
combinations each of which takes twice as long to pronounce as
a single consonant, and if the cause of this is’, etc.
23. Tpidy dvtwy téTrwy, the palate, the lips, the teeth, against which the
tongue is placed when é, w, ¢ respectively are formed. Syrianus says
that Archinus (the introducer of the Ionian orthography in the second
half of the fifth century) gave this explanation of the fact that there were
in Greek only these three double letters.
24. tv éh Exdotou émpéepetar TH olypa, ‘ a single letter (guttural,
labial, or dental) is applied to the sigma in each region’. Alexander
seems to have read 76 ofypa, assuming the sigma to be sounded after
the other element in the double sound. But ev ... 76 o¢ypa would
2578-2 ; Kk
“52 &
498 COMMENTARY
be an unnatural combination, and further £ = a8, not dao (A. 993° 5).
émupeperar must be taken as implying nothing with regard to the order
of the two sounds combined.
26. mdelous ye al cupdwviar, i.e. new combinations (such as the
eleventh) can be made out of the primary concords. But you cannot
combine two double consonants to produce a new consonant.
27-28. Tots dpxalois ... mapopdow. The reference is probably to
allegorizing interpreters of Homer such as Pherecydes of Syros
(c. 600-525), Theagenes of Rhegium (fl. 525), Metrodorus of Lampsa-
cus (d. 464), Anaxagoras (c. 500-427), and Democritus (fl. 420).
Cf. Diels, Vors? i. 376. 15-17, 414. 9-24, ii. 67. 21, 22, 203. 27—204.
7, 205. 26—206. 10, Sandys, rst. of Classical Scholarship, i. 29, 30.
29. at te péoar h pev evvean Se dxTS. The peoae are the fourth and
the fifth, the chief notes intermediate between the keynote and the
octave. The fourth and the fifth answer to the ratios 8: 6, 9: 6.
67. 21, 22, 203. 27—204.
7, 205. 26—206. 10, Sandys, rst. of Classical Scholarship, i. 29, 30.
29. at te péoar h pev evvean Se dxTS. The peoae are the fourth and
the fifth, the chief notes intermediate between the keynote and the
octave. The fourth and the fifth answer to the ratios 8: 6, 9: 6.
30. 75 €mos Sexaemré. The epic verse has seventeen syllables, if we
assume a spondee only in the last place. Alexander takes év pév 76
ded to mean ‘in the first half of the verse’, and this is confirmed by
the fact that ‘ right’ and ‘left’ were technical terms for the first and
second parts of a lyric system. The alternative is to suppose that
‘right’ is the part after the caesura xara tpitov tpoxatov, the common-
est caesura in Homer; this too has nine syllables. Wilamowitz in
Berl. Classthertexte,v. 2. 141, and S. E. Bassett in Class. Phil. xi. 458-
460 defend Alexander’s interpretation of 76 defidv. For the identi-
fication of the right with the dépyy of movement cf. H. A. 498° 6,
I, A. 70518, De Caelo 285” 16 (cf. 284» 6, where the Pythagoreans
are referred to). Bassett quotes many instances to show that 70
defov was used by the metricists of the section of the verse which
came first, e.g. Mar. Vict. 108. 16 Keil ‘arma virumque cano...
Huius incisioni quae syllaba clauditur, si alteras duas adicias, ut
tertium pedem trisyllabon compleas, erit hoc trimetrum defidv’, i.e.
the three dactyls at the beginning of the line form the colon dexitrum
or dpxrixdv (cf. Mar. Vict. 74. 8 K., Plotius 514. 28 K.). Further,
Aristotle would naturally mention the first half of the line first. And,
finally, BatveoOar refers not to caesura but to scansion in feet. The
earliest Greek definition of caesura is in Aristides Quintilianus (p. 52
Meibom), in the second or third century a. p.
b 2-4. The meaning is that there are 24 notes on the flute, from
the BouBvé (an onomatopoeic word for the deepest note) to the highest.
guwvny is to be supplied with 6gvrarnv.
4. js. 24 is reckoned as the number of the highest note, so that
Diels’s ois is unnecessary.
ioos TH odAopeneta, Alexander suggests that the number of the uni-
verse is 24 because there are 12 signs of the zodiac, 8 spheres (i. e.
the sphere of the fixed stars and those of Saturn, Jupiter, Mars,
Venus, Mercury, Sun, Moon) and 4 elements. ovAouéAea is an Ionic
word meaning the whole nature of a thing (uéAos = limb) ;_ cf. Hipp.
De Artic. iv. 108 L., De Anatom. viii. 540, De Gland. viii. 556,
N. 6. 10932 26 — 1093 14 499
De Nutr. ix. 106. Here, however, there is probably a reference to
the music of the spheres, cf. A. 9864 2 f. (uéAos = tune), Nicom. ap.
Phot. Bzd/. 14425 says it was used as a name for the number -7,
and in Theol. Arithm. p. 36 Ast we are told that the Pythagoreans,
following Orpheus, applied it to the number 6 ; but the present passage
shows that it was with the number 24 that it was identified.
(uéAos = tune), Nicom. ap.
Phot. Bzd/. 14425 says it was used as a name for the number -7,
and in Theol. Arithm. p. 36 Ast we are told that the Pythagoreans,
following Orpheus, applied it to the number 6 ; but the present passage
shows that it was with the number 24 that it was identified.
Q. otTwot ye oKkorroupévois, ‘if we look at them in the critical way
in which we have been looking at them, they seem to vanish away ’.
For the dative cf. 1090? 20 ois dé ras id€as TiHeuévois TodTO péev
expevyer.
10. T&v Siwpiopevav Tept Tas dpxds, Asets.2:
11. Bekker and Bonitz read airwyv éeorw. exelvo pevtTor mo odor
gavepov rv. Christ reads airidy éoriv. ws pévTou rovodor, pavepov KTA.
as is better attested than éxeivo, but Christ’s punctuation gives a false
antithesis between as pev Aéyovod ties Kal aitia rovodet THs Pioews and
@s pevto. odor. Diels’s punctuation removes this difficulty. Aris-
totle makes a concession to the Pythagoreans. Their view that
numbers are the causes of good and evil evaporates on examination ;
but they make it clear that in some sense the good ‘ belongs’ to certain
numbers. The seasons of the year and of life go ‘together’ with
certain numbers. There is an analogical relation between things in
different ‘categories’ (loosely used here for genera), whereby oddness
_in number may correspond to straightness in a line, evenness in a
surface, and perhaps even to good in things which can® be either
good or evil. But all this is mere correspondence and not causation
12. ovototxias, cf. A. 986% 23 n.
13. 15 tepitroy, cf. A. 986° 18 n., 23.
76 e000, cf. A. 9864 25 n.
TO iodks toov is probably the right reading, since it preserves a rare
but genuine Pythagorean phrase (cf. JZ. M. 1182°14 od ydp éorw 7
dixarordvyn apiOpos ioaKis toos, sc. ‘as Pythagoras said it was’, and
Pl. Theaet, 148 a1), and accounts best for the variants icov A>, iodp.6-
pov B. iodxis icov = retpaywvov, which occurs inthe overorxia of the
good, A. 9862 26.
14. at Suvdpers éviwv dpOpav. It is doubtful whether this means the
‘ powers’, in the mathematical sense (cf. A, 1019” 34, @. 104628, De
Lin. Insec. 970% 2), of certain numbers (terpdywvov occurs in the overor-
x‘a of the good in A. 9864 26, and cf. rerparywvous, ciBovs 1093* 7), Or
whether itmeans the powers of certainnumbers, inthe non-technical sense
of ‘power’. éviwy is in favour of the latter view; according to A. 986%
26 one would suppose the sgware of any number to be in the ovoroixia
of goods. Alexander gives the second interpretation, and illustrates éviéwy
by TEeTpPAyOVUY, TpLrywovev (numbers like 1, 3 (Ee 1+2), 6 (= I+et+ 3)),
eayovov (numbers like 1, 6 (= 1+5), 15 (=1+5+9)).
dua yap Opar Kal dpi6pds tovogdi, ‘for the seasons and a certain
kind of number (the square number 4) go together’, There may also
be a reference to the comparison, ascribed by Aristides Quintilianus
(Musica, iii, p. 145 Meib.) to Pythagoras, of the seasons to the con-
Kka
500 COMMENTARY
dua yap Opar Kal dpi6pds tovogdi, ‘for the seasons and a certain
kind of number (the square number 4) go together’, There may also
be a reference to the comparison, ascribed by Aristides Quintilianus
(Musica, iii, p. 145 Meib.) to Pythagoras, of the seasons to the con-
Kka
500 COMMENTARY
cords; spring is to autumn the fourth, spring to winter the fifth,
spring to summer the octave, so that the four seasons are to one
another as 6, 8, 9, 12. Plut. Ox the Birth of the Soul in the Timaeus
1028 f. ascribes the same view to the Chaldaeans,
17. cuptrepacw, ‘chance coincidences ’,
oixeta ddAnAots mavra, i.e, the normalineach class corresponds to
the normal in every other class.
20. tows, i.e. for the sake of argument Aristotle is willing to allow
the superiority of the odd number, on which the Pythagoreans laid
such stress.
21. It is not Idea-numbers but ordinary mathematicalnumbers that are
at the base of musical harmony and the like, for equal Idea-numbers,
like Idea-units, differ in kind (M. 6-8), whereas the theory of harmony
implies that equal numbers are identical.
22-23. Siapépovor yap... kal yap at povddes. From the fact that
Plato treated the different numbers as different in kind Aristotle infers
that the units were also different in kind, and from this that equal
numbers composed of different units were different in kind.
27. For ouveipa: used absolutely cf. rogo? 30 n.
$7, ALBERTS COLLEGE LIBRARY
INDEX VERBORVM
0293" = 1000%—1093"
a privativum 22°32
aBapés 4°1
ayabdy = ov een 98210, 983%32,
996724, 12, 13°25, 59 #36 syn.
wardy 13°22, 91*30 dist. warty
78*31 dist. pauvépevov dn 13? 94
onpaive 70 toby 20°23, cf. ib. 13
mais épxn 75°38, cf. ib. 12, 8.11 mas
éxovct apes 70 d, 74 aToxX¢ia g1*30,
cf. 92*9 ovOev Aéyew Tas pabn-
pariuas eémotnpas mepl a. 78°31
khenriy a. Kal ovKopayrny 4. (2119
70 dpewvov 827 eis 70 Gpewvov
dmotehevT hoot 983718 Pyth. 986%
26 Plat. 31*31-"12, 84735
ayanaabat 980% 23
dydanats 980% 22
d-yannrov pers 5
d-yevnrov 999” uf
dyvou. opp. 76 eidévar 982" 20, cf. 75°
23 dist. Yed5os, dndrn 52%2
dyvwaoros 995%2, ,30°9
d-yporedrepo 986° 27
d-yopyvacro 985%14
dyaviov 20*35
ddvatperos I. T, 84 14, 85° 16-22 Kara,
76 moody (Kara THY aicnow), Kara, TO
elB0s 999*2, 16*19, aXe » 23, 89> 35)
cf, 88%2 To eld 14% 27 eis
elon 999° 4, Kara. Xpovov 16° 6
a, avTé 76 & z 7 a, oriyph 2° 4
syn. dmdods 14°5 a. mpos. 16°33
dbiapopos 16*18, 35*16, 54° 4 4,
povades 81” 13, 30, 82227
ébizta Pyth. 990% 24
Gdinos 61722, 25
ddropior ers 986" 34
Gpés 17°8
GB puv ors 65°20
ddvvapia mocaxa@s 1920 def. 46°29
a. opiabeica us ouveiAnppevn TO
beKTUKD 55,8, 58> 27
dbvvarety 36°7, 38" 13
abvvarov ouppaives 2°32, a7?11, 19
a, smoraxes 19? 21 dist. Wevddos
47°14 4 eva ib, 5 dévva-
Oe ie i998 *19
21 dist. Wevddos
47°14 4 eva ib, 5 dévva-
Oe ie i998 *19
dépwos 49*26
aap | ( (Anaximenes) 66°21
aderov 7 povds 16°25, 30, 84°27, 33
db pey 998” I
Aiywa 15% ae
Alyuntos 981" 23
aténdos Emp. 0° 8
alb.os. Siapevewy dba 984* 16
dkwnra 987” 16, 15°14 Ta alia
ee cf. gg1*10 obey Buvdper
a. 50°7 ev Tots Gd. ovbey kakov 51%
20 ovata. aiainrh a. 69 31, Bae
dydryen civat G, ovotay A. 6 dpa 7d.
Gd, && oroixelo 88> af Gromov yeve-
aw Tovey didioy gi*12
aiperov bv aid 72° 35
atoOnpa 10°32, 63°4
aisOnots 980* a2, 27, 29 >25, 981" 10,
986" 32, 999° 3) 10>2, 3,3 36*6, 8873
ai Kowal laos 98114 fp al.
ddAoiwas 9” 13
aisOnrnpiov 63% 2
aicOnrés 987°8, 14, 997°12, 10°32,
78°16 = rary ai. det peovree 987° 33,
cf. 999” 4, 103, 36°28, 69” 3. émt-
oTnpns mept TaY ai. ovK ovans 987°
34) 2 15 Opp. padnpartinds 989? 31,
9g0*15 coni. lyqovs 989» aT 36”
ap opp. as gd 990* 31; 999°2,
25°34, 30°32 9 43°29, 45° 34 Opp.
elonrixos 9° Pag m6 Epov Tas ai,
odoias pévas cya paréov 997% 34,
a. Kat
riee 59° 39 ai. ovclat vAnv
zxovet 42°25 ai, évaytiwoes 61%
32 ovata ai, 69% 30
airetaOat TO ev 8exh S817; cf, 20
airia syn. 2px 982°9, 983°4, 986° 335
989° 23, 13°17, _mpern ale 983°25,
cf. 3731 —airiay éxer 984° 19 TOU
ware ovpBeBnxes al. 65°7 al. réocapes
7° >26 1OTE pov pas q TwoAA@V
EmoTnpav Beaphjoas tas al. 995°6
airraobas 985 * Bis E313
aimiarév 65% 11
airiov, copiay mept Ta hha ai, tmo-
AapBavovat mayTes 981? 28, cf. 982°
13 70, apxis at, 983° 24 eyn,
dp ib. 29, 990%2, 3°24, 13°16,
69°33 syn. oroxeiov 25°5, 42%5,
502
69*%26, 71%25, 86%22 A€yera
rerpaxas 983%26, 9965, 44°33,
A. 4 otk dnepa Ta ai, a, 2
métepoy puds % mAcbvay emarnpav
Gewphou nivra Ta ~yévn Tov al. 996*
20 nogaxa@s 13%16, A, 2 mavra
7a, al, dthia 26%147 al. yevnTa, Kal
pOapra dvev rod ylyvecOa Kal pbeipe-
ga EB, 3
at. ward oupBeBnkds 27%8, cf. 65%6
7a éyyirara al. 44”1 70 KivoOUVTa.
al., Ta ws 6 Ad-yos 70% 21
aldy 72” a9, 75%10
dnvyata 988" 3, 44°19
dkwnros. 76 vd, 984*31 éorw d.
tis pbows 10°34, cf. 69733, A. 6, 73%
24, 33 mocax as 68” 20
dxorovbeiv 981*27, 989%32, 3°23, 18%
36, 42°3, 47°3
dnoveyv 980" 23
duparos Aoyos 9* 4
dn pBns 982*13, 995° 10, 73°16, 78%10
dupiBéorepor Adyor 99015, 79%11
airion dxpiBécrepa 257 a, 70
peérpoy 52"36 éxpiBéorepos opp.
paranwrepos 64% 7 coni. AoyKw-
Tepos 80* 10 dnp Bas 31%7
dnp. Boroyia 995 915
dxpoages 994” 32
dxpos. al dxpbrara airia 2,*26 7a
apa 30*25
AKpwrnpiov 24% 25
ddrndea 983” 3, 988420, 993%30, 17,
20, 53, 91, 78°13
ares cimetv 9897, 6” 29, 7°32, 12%
28,17°34, 21°1, 25°14, 77°31, 33
mt dG, OD eyytrepoy TO paddAov 4
9*1 ToUTw d. 113 y
ib, 25, 12%9, ®. 10
E, 4, 17*31, @. 10,65 *%21
10
E, 4, 17*31, @. 10,65 *%21
drnbeve mepi 7t 10%9, wept Tivos » 24
adnbevecOu Kara Tivos 10%8, 11°16,
62%34
ddndwurepov 9*3,
*Adrnpalov 986% 27
dAAG in apodosi 103
dddo mocax@s 54°15
Gddo 71 44°16 v. 1.
dAdoios Emp. 9” 20
ddrdolwats 989%27, 42%36, 6912, 88%
32
Acad. 87°26
a
dddoppoveiv Hom. 9” 30
ddoryos 99923, 2%29, 8348
pets 462, 48% 4, 5033
Gros 65°20
dpa 68” 26 dpa voeiv 27°23, 24
dpdprnpa 51*20
dpapria 834, 8424
apBpoata o* 12, 17
dueveOns 75°29
a, duva-
Tay Kore cupBEBnkos TA —
INDEX VERBORVM
dpephs 73°6
dperaBarnros 14°28, 19%27
dperdmearos 15%32
dpeyhs 98915, 17
Gpuxros 9891
dyo.Baios Emp. o? 15
dpmexopevor 23 *11
dpvbpas 985%13, 988°23, 993°13
dpproBnrnotpos 996"27, 10717
dppw, 70 e dppoiv 29*6,71%9 70
appa 84%12
Gpas yé mas 22%2
dvayew eis Tov Adyov, THY apxHV, Tovs
dpiOpovs, evépyeav, etc. 983%28, 4°T,
36°12, 51°30, 994>17, 4>28, 34,
55°29, 61212, 82°37 eis yvapt-
purepov 40” 20 ypappny 51*25
dvaykatov 10" 28 mocax@s A. 5,
Vor LT
h dmddegis Tov a, 39°31
dmodeucviovow dvaykadrepoy 25°13
dvayin def. 6°32 nocaxas 26°28,
64°33 —é d. 62%21, 7210
opp. ws émt 7d odd, cupBeBnios 25%
15, 18, 20, 2628, 278, 64°33—
65°3
dvaryoryh 5*1, 27°14, 61°11, 16
dvaipeiv 990° 18, 1215, 6211, 79°14,
82533 70 émtaracba 99420 ov
ciay 7*20, 86°18 del dvauipeiv
€or 40% pass. 9929, 0” 29,
68, 65%14 dva.poupeve dvatpel-
rar 17"18, 71435
dvaxaprreyv 9943
dvardoiwros 73," 11
dvahoyia. Kar’ d, €v, etc. 16°32, 34,
17 "2,18" 13, 70%32,!) 26, Same
dyddoyov 43%5, 487, 93°19 0 d,
auvopay 48%37 7@ &, TavTa 7OP
ty 714s 26, 93°18 7d avrd Kal
70 a. 89”
dvahvew Tovs Adyous 63°18
dvadurind 5° 4
"Avagtarydpas 984*11-16, °18, 985% 18-
21, 988%17, 28, 989%30-"21, 991 .
16, 9*27, 12°26, 6325-30, 69%21—-
32, 72°5, 75°8, 7920, gr?44
citatur 7 25, 9>25-28, 5628
*Avagipavbpos 69” 22
*Avagipévns 984% 5
dvamre eis Tovs dpiOpovs 78” 22
dvatponh 13°14
dvapépeaOat mpos 7. 4*25, 26, 45°28
dvbpamnoba 75% 21
dvipravronontinn 13°6
dvdpravrorotds 13°36—14*15
dvbpeds 13° 35—14*11
dveredbepos 995% 12
dveXitrovoa opaipar 74% 2, 9, 11
dvépyacros 48” 4
dvev, tov oboiay a. 71*1
INDEX VERBORVM
dvOpwroeidets Beot 997” 10, 74°5
Seoparnos, TO dv Opa elvan 6° 33—
vce Seman 8 pevdns eae &, av-
Operon dee g2025, a s2,070"8,
27,°34, 92°16
duixia Pyth. 990% 24 v- 1.
dvicoy 2233 7o &. Acad. 75%33,
8705, 9 88*15, >29, 32, 8976-15,
9135, cf. 81225
dyrucelpevas paces 11 14,
62" 6,.10,.22, 33, 17 peraBons)
els ra dvruceipeva 11°34, 69% 4, cf.
57°31 dvtixeipevar Siapopai 16%
25 Aglade mooax@s A. 10,
Etsaetory sy fe 33 dist. évayrioy 69"5
dy Tide yew 24? 34
*AyriaGéveror 43” 24
*Avriabevns 24°32
dvriotpepew 16° 28, 61717
avripacts T. 3-6, 12P2, K. 5, 6, 67°14,
21, 22 perago ayTipacews ovbév
T. 7, 55°1, 63°19, 69%3 maa
dvvapus da THis | d. 509, 31 dist.
orepnots, évavTidTns, TA mpds TL 55%
38 70 Kara THY a. 63%21, 24
dvtixOov 986%12
dvumderos 5°14
dvw 992° 17 7g, 16% 29 jdvarré pos
990°6, 5°34, 16°30 dywrdrw 998?
18
dvdvupos 33°14, 56225
afiopa = dmodeKrinh apxn 997"7, 11,
5*20, 533, 90°36 =sententia 1>7,
77°30
do.bot 983%4
déparov 22°34
dépiatos 98918, 10%3, 63%28, 92%13
a. 70 Suvdpe ov, 7 VAN, TO ovpBEBn-
kos 729, 34%24, 65%25 cf. duds
dnayopevew gt 23
anddea 46*13
dnaOns 99126, 19731 syn. dpera-
Banros, dvaddoiwros 19*27, 73711
dmadevaia 53, 6°6
dmatdevrot 4324
dnayrav tea 145,63? 13
dndy rots 9% 20
Gnaft 20>%7
dmaray a Bay ts
dnarn dist. dyvoi 52%2
5°3
Gnavatos kivnots 72% 21
drecpia opp. éumetpia 981*5 opp. mépas
988 * 28
dmepov, To a. 2, K. 10 dmetpoe ai
dpxat Anaxag. 984°13 d. 70 &
Mel. 986°21 To &, ovalay eva
Pyth: 987° 16, 990%9, cf. 986% 23,
4p 33 & peydou kal puxpod Plat.
987° 26 rd, Anaximandri 52°10
obs d, Td atria a. 2, 74% 29 70 a.
TOs evdéxerat voelv 994” 22, 28, 999°
27 76 a. ward THY mpbadeaw 994°
30 ad. emt 7d dvw dAdas
TO d. A€yerar Suvdper kab évepyelg
48? 9-17 70 drei py elvat wat a.
70 avrd 66°13 diareipov ti ib. 32
ovK éorw a. HEyeB0s 73%10 ijrot
dmeipos 6 apiO pos 7 TeTrEpagHLEVOs 83>
36 —eis dmetpov iéva, Badicer,
mpoévat 994° 3, 8, 20, ° » 4, 0° 28, 6%
9, 10% 22, 1 p2 12; ba, 229, 30° 35,
32% 3» Baw ED 4132, 70*2 elvan
994°3, 10*22 v, aE
dmepavrws 66> 33
dmepyaecdar 48° 4
dnépxeoBau éx Ths evTehexelas 36°6 = ek
Ths aio Oqo Eas 4073
andav dor pa PB PTO
dndods. d. cHpara 9846, 988° 30, ag
KOs 42° 9; are I peyes ameyns,
ddvatperos 989” 17; 14°5 70 mpa-
TOV dvarykatoy TO a. F 5 “b 12 olriat
dmdovorepau Opp: dueptBéorepat 25 Bey
Ta a. a. ovota 24> 27) at LXoy 72° 32
a. Kivnots, popd 53%8,73%29 padAov
apx? 76 admAovarepoy 5935 ‘yéveois
an 07) 23, 245 68°35, 6910, 88*33
dist. é 2" 32 amas 987*21,
15°8, 20°33, 26°33, 42°7, 49*23,
52°19
dnoBdéTey 986 24
dmoBodat 18°34) 55°37
dmoryiyveqbar 49° II
amodekvivar éeyeTucas 6°11
15>8
dmodektixal dpxai 996>26 dmodek-
Tuk 997 *5-30 onovdn a. 73°22
andbeugis 992” 31, 14°36, 77? a2, B78
2 Tept mavtav dddvarov a, eivat
997°8, 6*8, cf. 11% 33 ovK EoTW
dmddergts ¢ ovolas 2514, 64" 9 TOV
ovaiay Tay aianray Tov Kad’ Exaora
oud’ dpa pos obr’ a, gov 39°28 =
ad. TaY Guaryreaiay ibs 31 pepe
Tas a. 526, 87> ar d. amA@s, mpos
rovde 62% 3) Aoyixal a. 87 at
amA@s, mpos
rovde 62% 3) Aoyixal a. 87 at
amodéxecOan 987” ANOOR G0; 13,5503
darodudovau 40°30, 45°16, 57°8, 59°27
70 aitiov, TOY ae etc. igh 35, 64%
2850452 2200 87a ne O24 DE Ta,
amA@s
504
pavdpeva, 73°37, 74%1 Te Tals
apxais 84°35.
admokabioravar 74%3
dmoxpive 989°6, 14, 48°3, 63°30
dmodAapBavew 61 a1
dmodoylay éxew 1° 15
dmodveuv. dmodeAupévos 31°3, 85°16
dardpy ya 4 Bek ae ah ft (ie
drropta 1995" 30, 87°13
988> 21 diadvey 6115, 6231
anoppinray adiopiatws 986%34
dmopwrarn ovaia 29733
dmoredeutay eis TowvavTiov 983°18
dmorépvedOa 3%24
amorpwyev 1*2
sore xdvee? 9931
dmovy 22 *35
dmovata 4°14
dmopaivesdar 984%3, 99317 idta
42°7
dmopdvat Ti mpds Te 12°13 amoré-
pnke ib. 16
sey » eters:
amdpaats. 14
drop pierdat 10831
dmrecOar 998%2, 2°34, 14%21, 25, 68>
27, 09%13 metaphoric 984%28,
985° 24, 538790; 09" 24
arvpnvov 23°1
dpe? TeAciwats Tis 2120
apiOpnrinds 5°31, 9o*14 &. &p.O nds
8316 apiOunrinn axpiBeorépa
yewperpias 982° 28 h apOunrin
99128
apiOunrds 66 25
apiOucs, % Sexds Soxet macay reprecdn-
peva THY TaY &. pvaw 986%9, 73%20,
84°12, 32 Tov ad. voulCovTes api
elvat 986*16,76%31 apiOpod ora-
xela, yéveois, ma0n 986%17, 8415,
84°3, 91°29, 990°19, 4P10, go*21,
cf. 986%20, 84°28, 8912 TOV Gd.
THY ovalay andvrwy 987%19, 1°26,
VO" 31, S0*13, 83 429) sO24 TOs Nch.
98726, 1°25, 90%23 mparoa a.
98734, 52°8, 81%5 a. vonrot,
aigOnroi 990*30, 90°36 _—coni. «tn
9919, 8022, 8676, 91°26 coni.
idéar 76%20, 8012, 81°7, 90°37
Aspe apiopey, etc. 99113, 17, 19,
92> 14, 31; cf. 985” 33 bia rh ev
GG, 992°4, 4453) .45°8 | vepelne,
Kar’ p10 pov év 9905), 33, 2224,
16°31, 18913, 33°31, 39°28, 54°34,
d, SvepxecOar-
INDEX VERBORVM
60> 29, 87> 12 70 évl elvar apxn
Twi zor apiOpod eivar 16°18, 21 *13,
52°24, cf. 88°6 def. 20°13, 39”
ae 5a> 39; 57° 3), 85°22, 88*5
of a. Trowot tives 203 avayew es
Tous a, 36°12 coni. Spo pds re
34a, 4508 évépyea % Kar’ apd-
pov 51* 33 a. padnarsicol 76*20,
8021, 30, *135 81°6, 8353, 8645,
9033; 35, 1°24 ot a. Acad.
M. 6-9, N 64. 6€ xov 70 mporEpoy
kal vorepov 8012 a. parabocal
8019, 30, 82°6, 83° 1% 92°20 a.
mp@ros 80°22, 81%4 6 Tay eidaiv a.
81°21, 33" 3) 90°33 tis d pub pod
Srapopa Ser ov aupBAnrods €ivat
Tovs a. Plat. ib, 34 a. dpi unruxcds
83°16 drretpos, memepacpevos ib.
36 6 dp’ évos SemracvaCspevos 84%
6 apn ob« €or ev Tots d., TO F
epetiis 85% 4 a. 34 go? 35 Opp: Abyos 87°12
a. TUpwos, ynivos g2°20 & apn
elvat ib. 27 a. Terpayowor, KUvBot
93° 7 Ta peta Tovs &. 99213, cf.
85°7
dpiorepov 986% 24
Ap erimns: 996 *32
apiorov 42? 21
dpros 93° 19
93°14
dpyoviich 997>21, 78%14 dppovKa 77%
5) 93°22 :
Gpyotrev Tit 22%2
20
dppev 988%5, I. 9
dppuomoros 14°27
dpats 19 "16 Valls
dprao bat By hikyy
dpriov Pyth. 986%18, 24, 990%9, 66°21
Plat. eae 3-7, 91°24
dpriérns 4°11
dip xaiKas 89*2
dp xatos 989° II, 69% 25
dpxn syn. aitia, atrioy 982? 9 983° 29,
4, 98633, 989 23, 990° 2, 3° 24,
13° Hy Beat 5, 69°26, 33, 86%
21 7a é€ da. atria 983° 24 6
Oeds a. Ts ib. g syn. oTotxetov
983711, 989°30, 995 °37s OGR as
255, 42%5, 69°20, 80? 32, 86%an
dist. orouxetov 41°31, 7023, grag,
10 d. & Bays elder, TO e€ ov, ws VAN,
Twparecn 983" 7, 24, 986°17, 987° 4,
46%23, cf. 984%6 Ths KW Tews,
HeraBAnriKh, KWYTLKN 7) OraTeet as
Kwoov 7) tardy 984%27, 46°14, ? 4,
49°6- -9, 70” 25, cf. *7 év dAAw
év aiT@ 70°7 d. 70 ob Evexa 50%8
énTa
émi tivos 81%
Pyth. 986724
INDEX VERBORVM
dmetpo. ad. Anaxag, 984°13 Tas Gd.
déxa Tas Kara, ovarorxiay Aeyouévas
Pyth. eee TavavTia apxai
ps6" ans 31, 87° 30 ddqPéorarss
993°23 éorw d. Tis go4*I &
Tos Adyois, ev TO bmoKepevy 996%
drodektinal da 99626, cf. 99328
BeBadrara 59, 11, 18, 22, 6%5
Wwopipwrary 5°13 dvumd0eros ib.
14 _mororépa 623 mOTEpoy TA
yer dpxat aon? cide, aprou@
€&y 999°25, 2°31, 6oP29, A. 4, 5
TOV poapray wat Tay apOdprav 076
monepow Kadddov 7 Ka’? Exacta 3°74,
ramon iM. 10, cf. 6022, 69° 28
a. moocax@sA,I aid, rav ovrow a
évra, BE. 1, cf. T. 1 coni. ovgia
mph $y 60? 23) 6928, 70°25, 76°24,
TA. ee d. Kat TA eine 51%20
poe d, 70 atdovaTepoy 59°35 an
73 avvavaipody 60*r ad, mas ai
avral, mas erepat A. 2-5 m@s TO
ees ee 75°38, cf. 12 mas TO ev
d. 84° 19 mas Exel mpos TO ayaddy
gi*31, 92°12 —aireioOa 70 év
a6, cf. 20, 8>2
apis 983” 20
apxikwrépa, apxikwrarn emorhyn 82%
14 96
dpxiTenTovinal TExvat 13714
apxiréxtav 981% 30
dpxoeidés 999% 2
’Apxvras 43%21
dorarov ope. 7 3° 31
dorpa A. 8 a Tov d. pots 73°34
darporoyia 989°33, 997°16, 35, 998°
5, 53°10, 73°5s77°2
dovpBAntos 55%7 d. povddes M. 6,
83°19
dovpperpia Tis, Sanerpov 983716
dovpperpos a geo 120
down bea 995° 2
dotvOera 51°17 a. TH yever 57°21
davvOeTwTEpos 40% 23
doxioros 38°14
dowparos 988*25, Bae
arakra Kat drepa 65%26
dragia 985°1 opp. «fdos 70 28
arehés 77°19, 92°13
drehedryTos 66°37
“Arthas 23%20
dirunros BaPa
aropot pap mat 992% 22, ef. 84° I a.
peyebn 83°13 — Tad, = maxime
universalia 994221 =TAa Kad’ exagrov
995°29, 998°16, 29 (?), 999° 12, 15,
58°18-20 = 4, ld 998" 29 (2), 18>
6, 34°8; 58°18, P10, 59°36 To
yevee 18
dronwrepa ovpBaive 39°17
595
ba i 42"35 opp. picts 6911,
88% 31
abrapices 91°16, 18, 19
abr é pare syn. TUN, Opp. Poats, réxvn
984° Be eos tar 4g: 23, 34°10,
Ay 65°3, 70°7 — Tay PavpaTtwr
Tab. 983 "14
avtés. mpooriBevres Tois aisOnrois 70
picts 6911,
88% 31
abrapices 91°16, 18, 19
abr é pare syn. TUN, Opp. Poats, réxvn
984° Be eos tar 4g: 23, 34°10,
Ay 65°3, 70°7 — Tay PavpaTtwr
Tab. 983 "14
avtés. mpooriBevres Tois aisOnrois 70
phua To av7é Plat. 40°34, cf. 991%5
avTodimAdctov 99032 abrody6 poy-
mos 991%29, 19, 997°8, 40°33, 79”
33, 81°8, 11, 84*14, 18, BI avto-
ayadoy 996828 abrd ev, ov 1*22,
27, 30 abro-ypapp} 36°14 avo
70 (wov 39 P 9-16 avrolnmos 40”
33; (84% 14. avTo émornun 5° 536
avrdé Te 79° 9 85°31 abd Exaoros
84°15 auto 6 éorw 86” 27 airs
aya, Bara 87*9 + —rTavrd 995” ar,
21°11 mooaxas A. 9, 54° 13 T.
T@ cide, TH apiOud 18”7, 49) Pag; 42%
58°18 T. KATO oupBeBnicds ay? 7
dpaupety opp. mpoariWévae 1°8, 30°33
TH diavola 36°3, cf. 23, 27” 33 vy. 1.
datpeots 661 — é€ da, 61%29, 77
10
apy 14°22, 70° 10, 82°20, 85°3
dpOaprou ovctiae 40° 31 éTepoy TH
yéver 70 pbaprov kal TO d. 1. 10
depeevan g81? 24 év wowed 98714
ét THs pe0650u gi*20
aduoTavat. dnéary 56>28
dpoporody 92°13 Lod 985° 33
anand 4819, 60 kar €ldos
981*10 a Aids
485. 77°26 opp. duvdpe 2°23
"Agpodirn 73” 31
dx pov 989° 9
dxupoy 989” to
axaproros ga? 17
dyuxos 981" 4, 46°36, 47°4
Badicey eis Gireipor o> 28, 6*9, 12°12,
paamwazeow3s? 4 41? 22 = expe
mwas B. dpxjs 27°12 én apxiv
Kat tédos 50°17 Badi(ey eoriy =
Radice 17%29 7 Badifew, To
Badicov a8 20) 24
Badiors p04" 9
Babos 20°12, 14
Badd nat ranevdy 992*13, 15, 20°21,
85° II, 89° 13
Balyeacba: evvéa ovdAdAaBals 93°30
Bdvavaot réxvat 996% 34.
Bapv 20% 22
Bapirns 20 10
Baows geom. 51%28 metr. 87°36
BéBatos a yupipos, etc, 8*16, 17,
gma, 10
Bia opp.
mute OSSie PEMEE TO
——
506
Bimov kai % B., coni. dvayxaioy 15%
26, 30
Bidkeobar mpos imdbeow 82>3
Biatoy 15*26, 28, 36 syn. mapa piow
I
Bréray paddov 986? 28
Boay ws éAkdpeva gi* 10
BéOpos 25%16
BopBvé 933 :
BovrAccOa opp: A€yev capes, SiapOpovy
89P19, 2°28 BovAccbar Aéyew
86° 19, 89% 20, 91232
Bovdntés 72% 28
Bpovray 41% 25
B@dAos 67* 11
yadnvn 43°24
yapos Pyth. 78> 23
yeveots. ai y. mepi 7d Kad’ ExacToy 981"
17, .Cfe 42 %30, 7O= Ts yevéoe
Uorepov, pice mpbTepoy 989*15, 50%
4, 77220 peragd Tod efvar Kal pur)
elvat 994727, cf. 55°11, 91°34 =
pvouwal opp. momoes 32°16, 26
Tov y. % pev vdnots % 5& moinos 15
yéveots €x Twos Ti €ora 33°11 ema
dvev y. €or kal ove éotw 44? 21
def. 67°22, 6910, 88°33 = -y. amA7j
67°23, 24, 68°35, 69°10, 88°33
dist. xivnows 67°31, 68%2 ovK
€or yeveoews yévecis 68°15
yerntds 27°29, 44°3, 69°25, 26
yevvay tov ovpaydy 989°34 Tov
dpiOydv 608
99824, 30%12,
3845, 85224 dist. xa8ddov 99212,
15°28, 28535 +. TeAevraia, mpara,
éoxata, dvwrdtw, éyyvTata 995°29,
998°15, 18, 999°1, 23°27, 34°1, 37”
30, 59°27 TOTEPOV TA Y. TTOLX ELA
998*21, 14°11, cf. 42°14, 59? 21-27,
69*27 dpxal Ta y. TeV dépiopav
998°5 ody ofdv Te ovTE Td ev OVTE TO
év elvat y. ib, 22, 45°56 y. Coni.
épispds, eldos 998°13—999%23, 16°
32, 23°18, 24, 25, Z. 12, 39°26, 57°7,
59°36—60%5 ~—coni. d:aopd g98”
31, 14°11, 16924, 37°19, 21, 39%
20, 42422, 59°33 tmocaxas A. 28
y. ws bAn 24°8, 38%5, 58223 a)
¥. ob# ovoia 42% 21, 53°21, cf. Z. 13
76 Siapepoy diapéper 7 yéver 7) elder
54°28; cla 24° 0, 58870 amdekinaP
30, 57°38 peraBadrdew eis dAdo
yévos ove Cot 57*27 = eldos 58>
28, 59*10, 71% 25, cf. 58°26, 31, 71%
27 7a mpara y. 5927
yépas Simon. 98231
en
INDEX VERBORVM
yewdacia 997°26, 32
yewmerpns 998*I, 4, 5711, 31, 78°25,
89%22
yewperpia 99634, 997°27, 19°33,
46*8
“yewperpixds 983%20, 992%21, 61°3
‘vi 989%9
ynivos 49%20, 22
ynpavais 65°20
yiyver@a. dixGs yiryverar Tdd€ Ex TODSE
994% 22 TO yeyvopevov peragd Tod
évtos Kal py bovTos ib. 28 Ta Y-
éxer UAnv 32720 yiyvera x THs
aTepnoews Kal Tod Umoxepevov 33%8,
cf. 55°12, 6226, 69°18, 20, 88°17
y. Ti, « Tivos, bd Tivos 9996, 10*
20, 32°13, 31, 33°24, >12, 44°24,
49°28 =». puoet, TexvD, Amd TadTO-
parov Z.7,9 advvaroy +. ei pndiv
mpovndpxot 32°31, cf. 3312, 49°35
y.70 abvordov Z. 8, 42%30, cf. 34°8,
43°18, 44°23, 69°35 —-y. & Spar
vipov, avvevipov 34°22, 49°28,
4ots ye atd@s, pt) GmA@s 42°47
dud 70 TOD yeyvopévov yeyevqadal te
49°35
yeyveonev 994%22, 28437, 2, 31>7
mept Tivos 997*2
“yvwpifev = sensu percipere 980% 26, 36%
6 syn. émigracba, etc. 981°6, 983% 26,
994°30, 99616, 997°1, 4, 9985,
4°20, 23, >7, 5*28, 36°8 mept
Tt 5%28 mept Tivos 37*16
yrmptpbos 62*14 y. pice, adT@ 29°
3-12 yopipwrépas 53°14
yopiotinds 4°26
wots 981" 11, 1830, 28423, 3828/2),
48° 15, 49°17 = ToD potov 7h dpolw
0°6
ywords 29°10
youpos 42°18
youn dist. oméppara 71°31
ypappata o%3
ypappartucds 6424, 26 ypapyparucn
B20 exemplum 70d ovpBeBn-
Kéros 26° 17-19, 64% 23-26
yeanpn 2°5, 766-35, 78°15 — dropor
ys 00292 4uch 1SAen aigOnrat
998" — ode Ex oriyp@v 1°18 def.
16° 26 ypappns 6 dNOyos 36°13,
43°33
ypaperba 779
yupvov 68%7 @
yr 34°3, 58°29
apx? Tod y. 1620
darpdvia 1712
daetvAoy exivee pdvoy Crat. 10*13
troBadAovar 63*8 éndddAagis TOV
ONLI *33
day Parm. 89*4
INDEX VERBORVM
deinvov 42” 20
béna tds dpxds d€yovow eivar Pyth.
986° 22
bexaenTa 93*30
bends. Tédevov 4 6. Pyth. 9868 Plat,
73% 20, 82%1-11, 84%12, 29-2
dexrimov 18% 23, 29, 32, 68> 25
Sefidv 986%24, 9371
deopds 42°17
Beipo, 7 g91%30, 2%15, 598, 11,
60%9, 63%11, 22
Ore 98112, 41%10 = Bd
ti mpwrov 983% 29
did-ypappa 998%25, 14%36, 51°22
Siarypapew 54% 30
Biaryoryy 981" 18, 98223, 7214
bidbeos 195,22? 10 mooaxds A. 19
b.a0vyn Democr. 98515, 42°14
diarpetv §=— 2733, 513, = 6934
mathem, 23 log.8%19,21,27,62°3
diarpetoba 4% 28, 28%10, 29° 1
diaipeors 164, 5 mathem. 994” 23,
2*19, P10, 48°16, 60%14,19 log.
27°19, 3728, 67°26, 722 Taw
évay Tio 54%30
diatperéy 20% 7, 7720
biancioban 830, 2211, 631
braxdopnass 986*6
Braxpivew 984% 11, 985°24, 28, 75%23
Pipl be 15, 98833
Biaxpiritov XpHpa 57°8, 10, 19
BraréyerOa 98933, 420, 7%20, 78%
29 mpos airov 6°8 ef dpicpod
12
bad ciney 986% 7
Siadexrirot 995° 23,417 diadexrinn
987° 32, 4°25 6. ioxis ote hy
78° 25
SidAAagis 15%2 :
jiadtou dmopiav 63°8, 13
drapayecOar 992% 20
biaperpou acovperpia 983% 16, cf, 20, 12%
33, 17°35, 19°24, 24°19, 47°6,
» 51D 21, 53°17
SrapproBynretv 62° 34
Biavociaba 74°25
Siavonrinds 25°6
Sravonrév 21%30, 31 dist. vonrdv 12%2
bidvow 12%2, 13%20, 21°31, 32, 25°6,
Ty, 272 2 28, 32%28 = bdbfa
984%5,986" 10, 9*16 — opp. Aéyeiv
985%4 édroravar tiv 8. 987°4
7h 5. dpioa, dpereiv, timodaBeiv 9* 4,
. 36°3, 73512 ovvdmrer Hh duaipel 7 5.
507
arr ag supmroKh HS 6. 65%22
dnd 6, yiyvecOa 49%5, cf. 32%28,
yoP a1
Sramopeiv 991%9, 995%28, 35, 95, 996"
17, 999%31, 9°22, 59%19, P15, 79°
12, 21, 85%25, 86%19, 34
diandpnyua 53°10, 761, 8615
5iapOpodv 9866, 989%32, 227, 412
biacapnvicey 986" 22
iidornya log. 55%9 mathem, 85°30
Braspépew 1.4 Kara yévos 187 26, cf.
54°28 bua sri yun) Gvbpds obK
elder Biapéper I. 9
biapepdyrws BY 11
Brapedyew 2°27, 93” 10
BiapOopa 51% 2
Siapopd 988" 23, 99825, 30, 4%14, 20%
33-2, >15, 42°15, 57°4-19, 58°
30, 59°33 ‘moAdds dnAoi 6, 980% 27
tpeis Democr. 985%13, 4212
dist. evayridrys, érepdtns 4%21, 54”
23—55 "33, 58°11 dy titel evan
5. 16%25, cf. 484, 57°5 yen
tov 8, 42%32 6 60 Tdv 8. dOyos
43%19 opp. Adyos évorroids 45°17
def. 58°7 yevous 5, ib. 8 ov
rrovel 6. 7) HAn 6 mporo 5, 61 14
tis dpOpod Siapopd, nai povdbos, «i
éorw 83%
Budipopos mogaxas 18%12
81°33, 35
Srapavely 85°36
BiaxwpliCecbar 23% 23
frapevbecOu 512, 9%11, 14,61" 34
Bi6agis 4110
bibacKarinds 982%28
TEpos Ta aitlow ib. 13
Kbdonew 9817
bibdvar = avyxwpelv 6% 24
drepxeoOai 71 98821 epi Twos 48%30
diepwrav 0% 20
povdbes 5,
biBacKaAKw-
Siecis 16°21, 53812, 87%35 al 8,
600 53715
Brexey 63% 31
ixavéis, diopioreov, etc. 27°18,
29*1, 48°37, 996°8, 14
diopiopds 5°23, 48*2, 20
Bide 981% 29 = bri 62*6
Sirdacialdpevos ap’ Evds 84*6
bimAdorov 20” 34
Binovy 38% 23
508
Sirrov 76 dy 6915
ddypa 62525, 76*14
992" 21
doxovvra coni. parvdpeva, Suvata 9°8,
88°16
Sodrxaiwves Einp. 0*32
ddfa 984*2, 99I*19, 993°T2, 18, 996”
28,.9°3 36, Io*I, as 14 “Hpaiehei-
Teor 5. 987* Pyth. 990° 23
ai wept TaY bea ddgar, etc. ggo° 22,
28, 78>10, 13, 79°18, 25 —coni.
SmdAqyus 5° 29-31, 9* 23 (cf. 30), 10®
10 coni. Savoia 9*6 (ct, 16)
coni, payragia 62>33 dist. Emt-
oTHuN 39°33, 34 warpros 8, 74°13
yewperpicor 6.
éxovtat on ddéns 87°31 (Seat
ddgar go 29
BogaCew 9°11, 13 opp. émicracdat
828, 30
dovdy 982529
duds dist. S:aAdovov 987° 26 coni,
péya Kat puxpdv Plat. 98726 (cf. 33)3
g88*13, noes Io, 88915 p@aprat
Evades gol * 4 Tpwrn TOY apiO way
999*8, cf. 85” 10, 889 = auTo-
ypaupn Plat. 36°14, cf. 43°34 8.
adptoTos Plat. SI*14, $255 Be. yan.
8213, 30, 83°36, 85°7, 88°15,
528, 89%35, ot 5 5. mpatn 8r*
Bok a1), » 4—83*33 avr? 5,
815327, 82>12, 20, a, cf. gg1?3r
dvorro:ds 82°13, 83536 «TOU
dvioov 5. 87>7
dvvaus A. 12, ©. 1-9
_ Bee TA oTotxeia 2°33
dv dépictov 7%28 dist. évépyea
7°28, © 3, 48°32, 69°15, 71°7
5 év Th yeaper pig 19>34, 46°6 dist.
vods, TéxVN, puats 2523, 27°6, 32°
28, 3328, 64°13, 49°9 coni. tan
42°28, 10 49° 23; 50* 15, >27, 60%
20, 69> 145 70 12, 71*10, 75°22,
88®1, 92*3 7) Svvdpe kat 7d
evepyela é&y mus éotw 45°21 5
ddoyor, peta Adyou ©. 2, 50°33, cf.
, ,
moTepov Suva-
TO Suvapet
47° ae m@s TO Ametpoy kat 70 Kevov
Acyerar Suvdper 48° 9-17 nTE
Suvdyer éxactov ©. 7 mpoTepov
évépyea Suvdpews ©. 8 over Sura-
pe atdiov 5058 Gua ths dvTipa-
vews ib. 31, cf athe ao mporepov 6.
evepyeias 71°24, cf. 341 —plasép-
metpias i ad dmoreActy Q81°I Tpd=
ros THs 5. 4° 24 dvvapls = émornun
18*30, 55°31, cf. BT 5 See signifi-
catio 52>7
93°14
SvvacGa 70 adré 11*7
Suvarov tocax@s 19*33,
48*27 coni,
ai 5. eviny apiOpov
bo8) @nc4;
éviéxerar 47°26,
INDEX VERBORVM
50 11 8, elva 478 TpwTas
8. 49° 13 tavrov 5, ravavtia 51°6
eis 76 5, 74> TI 7O 5, adv. 78*
28 y. is
dvo0 Ta TOMAR TOY dO parnivaay 986% 31
dvoTords 82% 15, 83? 36
duckoNa = drropia 997°5, 74°17
dvoKodovI? T
dvaTuxets 983%1
duoxepalvew Te EavTois 984%29
twos 76°15 = Tt 88° 30
Svoxépeta 995°33, 85°17, 864, P12,
go*8, OL 37.5 Ura Aoyteai
5 aa, 87020
duaxeph 81> 32, 85>6, 8657, 8831
auvayew 5, 63°32
Kara
ey yerepoy attiov 148 5
eyeépaos 13°6, 35°26
eypnyopés 48> R
eyprryopats 7217
iE
€Ovos g81? 25
00s, & opp. Vee 981° 5, cf. 47°32
KaTa Ta €. 9943
eldévar g8o* ae gure 24, 28, 983%25,
993°23, 994°21, 29, 996° 15, 19,
28% 36 syn. émistacbar 982*30,
bat, 994 4° 20
cloqrurds 865, 8834, 9035
eldos OPP: vAn 988°3, forts. 69°34,
70*2, Dine 84° 10, cf. 35%8 THs
vans paddoy oy, atrioy 29%6, 1>8
yévos «lda@y ggI* an ein ds yevous
57°79 58°22, 79°34; 85°24, cf.
998° 24, 30°12 coni. yévos S998 45
23°18, 24, 25, 38°7, 57° 7» 59 «i39
= yes 58°26, 31, 71°27, ch. 5
28, 59* 10, 7itas ely ray eddy
a 23 Tov bvtav AaBely émornunv
7 ray ei. AaBely 998°7 ddiaiperov
Kata 70 €. 999° 3, cf, 2°24, T6Bgay
18°13, Bey 49 18, 29; 58°18 = syn.
Hoppn 999°16, 15°5, 17226, 33° 5
44°22, 52°26, O8 22, >26, cf. 22%6
coni. rk iv clvau, ovola 13% 26, 30°12,
3201, 33°52 35°16, 32, 4198, 44°36,
els ddialpera €.
502, 84>10 coni. agi dpiopds
13° 226, 35°21, 36% 28, 43°20,
44°12, 69°34, 8410 pla
ouvexeiq a eidec a Adyw 169, cf.
ib. 23 érepa T@ cide 18%38, I. 8,
9, cf. 54°28 coni, 7éd€ Te I 26, .
49° 35. TeAevraioy el, 185, 61°24
def. 32>r dopo 34°8 coni.
Thon ib. 24, 70°14 70 MIs
cba TO el. 34°8, cf. 43 17; 44° 22,
69°35, 70%15 7a TOU el, pépy
INDEX VERBORVM 509
Zs 10, It TO €d0s ex Tod yévous
kai Tov Sapopay 39°26, 57>7 syn.
fis 44°33 =~ opp. or épnats, ib., 70>
11 — & BAns eiber 983°, 984°17
— «idn Plat. A. 6, 9, 999°33, B. 6,
4820, 31°14, 15, 36%15=20, Z. 14,
5o* IT, 13, M. 4, 5, 84°13-29 ot
7a el. TWevTEs, A€yorTes 988" 1, QQ?
197 90702; YOUTK, ch 42°11, 7519
Ta THY Ei, OTOLXEIA Q87>IQ et, THY
dnopacewy gg0°13, 79%9 €i6n
éorw énéca pice 7018, cf. 14, 9917
ei penta TA el. Qg0>28 coni,
dprOpoi 9919, 8022, 81%21, 833,
86%4, 90°33, 91526 ra el. aicOnra
diiia 997%12 4 rar el. airia 3326
mpos Tas yevéoces Kal Tas ovoias ov
Xphotwa ib. 28
eixaCecdar 7928
eixov got” 1, 79°35
elvat, @ 70 el. erepoy Kab Toy KaTn-
yopiay Exdotn 29722, cf. 52°15,
75°5 70 dy coni. 7d & 986I5,
99822, 1*5-?1, 3°23, 4°5, 5%9,
E35 )40°416, 456, IF. 12, 5948, sr,
Go's, 704 ovx elvan yévos, ovK
elvat ojaiay Tay dyTwv 998>22, 1%5,
5*9, 40°18, 45°6, 59°31, 70°7
TO dv mohAAX@s 992°10, 3°33, A. 7,
19°4, 26°33, 27°31, 28%5, 10, 30°
21, 4225, 51%34, 60°32, 64? 15,
89°7 7 ov 7 Ov, Syn. oy amas,
KaQdXov, opp. ov TL, kara péposT. 1,
2, 25°3, 9, 2631, 32, 60°32, 64°15
76 Op 70 Kata oupBeBnkds 17%47, E. 2,
a 70 ws GAnbés 17°31, E. 4,
©. 10, 65%21 70 dv Suvdper, bruL-
K@s, Opp. éevTedAexela 17°35, 78°30
kupiws dv 2731, cf. 511 m™pwTov
év 76 th ear 28°14, cf. 30 TO Ov
76 Kata tds ovotas 8932, cf. 34
— ph ov 6919, 72°20 = 70 ph Ov
elvat pn) dv 3°10 TO pr dv ws Td
Yeddos 26°35, E. 4, ©. 10, 89°28
70 ph dv dEyerar TAEOVAXas 67” 25,
cf, 51°34, 6927, 89°26 advvaror
TO ph dv KiwvetcOa 67°30 TO pn) ov
Plat. 26°14, 8925-28
eimeiv, @s 980%25, 98531, 99832,
1030, 26°9, 28>, 85°11, 8719
eis 6 7O%2
clcaywy? Tov cidGv 98731
x Tivos 991*19, 994%22, A. 24, 44%24,
g2*23
26°14, 8925-28
eimeiv, @s 980%25, 98531, 99832,
1030, 26°9, 28>, 85°11, 8719
eis 6 7O%2
clcaywy? Tov cidGv 98731
x Tivos 991*19, 994%22, A. 24, 44%24,
g2*23
éxelvivos 33°7, 49°19, 21
éxeivas 1%9
€xOeors 992" 10, 3121, g0*17
éxrenis 44° 10
exon Tov evayTioy 4°2
éxparyetov.988 * 1
mpds TL QQI*24
éxrievat 86" 10
éxtonwTepos 98930
éxtpomn 89°
expéepery Bpov 40” 2
expevyew Twi go> 21
éxav 25%9, 12
eheyeTin@s amodeitar 6212, 15
ékeyxos opp. dmddefis 6°18, g*21
copuotinds 32°7, 49°33
€AcdOepos 982" 26, 75% 19
€duKes TOU oVpavod 998"5
€AkeOat QI * 10
éAAeupis opp. Drepoxy 992°7, 42°25, 35
éuBpva 14°22
"Epredoxdys 984%8, 985%2-10, 21-4,
988°16, 27, 989%20-30, 993717,
996°8, 998%30, 0%25-P20, 1%12,
O9%2mn 7226, 752, OPE ~ cita-
tur o®29->16, 9°18, 15°1
éumerpia 980? 26—981"9
éumeipos 981% 29, © 30
éuminrew ets Tt 986°15, 56%2, 8475
éumoveiv pavTactay 24” 24, 25°5
épmroinTids 25% 4
éupatvecbar 28% 28, 91% 36
Eupuxos 46°37, 48°4
& TW, ToGAaX@s 23°24
év, 76 I, 1-3 Kata Tov OYoY, TI
vrAnv, Thy atcOnow 9869, 10, 32
dpiOu@, Kar’ eidos, kata “yévos, Kat’
dvadoyiay 99925, 33, 2°24, 16°31,
33°31, 39°28, 54°34, 60°29 = kara.
70 auvexés, moady, Toby 1425 auy-
exridecOa 3°10 v.
exeia, elder, Ady 16°9 apn,
piger, Oéce 82%20 Adyy, apOpue
87? 12 éy 76 nav 98822 ev
ént moAA@Y g90”7, 13, 991%2, 40° 29
ovn eart yévos, ovaia 99822, 1%5—
BZ Re OrChaAO TOW AR Oya?) RO”
Bu yoy kal 7d dv 99822, 1% 5—
As 323,45, 5°9, 12, 40°16, 456,
I. 2, 59°28, 31,605, 7o?7 ev 70
ddialperov 999%2, 4T*19 mpos &,
Kad’ &y, xa’ Evds, &v 3°33, 15, 5*I0,
go's, 43°37, 6r?12, 615
dmavta tora 6°17, 36°20 mocaxas
A. 6, 52°15 dpxh dpiOpod Kat
pérpoy 16°18, 21°12, 52°18, 23,
8478, ‘cf.0' 87233 TO evi elvat
16°78, 41°19, 52" 35 16 dpb pos,
Spiopos eis 443, 6, H. 6, cf. Z.12
év nal ToAAG I. 3, 6, 75%33, cf. 4*10,
87> 28 éva 5623, 83%25 dist.
Gmdodvy 72°32 ove eoTw apiOpos
886 —Pyth. 986%19, 21, 24,
987%18, 27,111, 80°20, 31 leat.
98615, 19, 24,1°33 Plat.987°21,
9882, 992°8, 1%11, 25%33, 80°6
Anaxag. 989°17, 60921 Emp.
0% 28
510
u
évaytioy 13°12, 18%25-38, 54% 25, P 3? f
I, 41,5) 1 58° 26,75 21-24, 31, 92°3,
33-8 Tavavtia apxal Tay dvTwv
9863, 4 30, 75° 28-32, Pia), 87°30
ee Tay. cis THY px ‘TadTqy
AAC) Pam éxdoyy THY ev. 4°2,
cf. 54°30 Ti €oTl, TOGAX@s A€yE-
Tai 4? 3s 18925 ey évi évayriov 4? 35
cf. bbe 20 = «Tay é, 4 eT Epa quaroixia :
f
I, 41,5) 1 58° 26,75 21-24, 31, 92°3,
33-8 Tavavtia apxal Tay dvTwv
9863, 4 30, 75° 28-32, Pia), 87°30
ee Tay. cis THY px ‘TadTqy
AAC) Pam éxdoyy THY ev. 4°2,
cf. 54°30 Ti €oTl, TOGAX@s A€yE-
Tai 4? 3s 18925 ey évi évayriov 4? 35
cf. bbe 20 = «Tay é, 4 eT Epa quaroixia :
orépyots 4° Wisma hited 55> 14,) 275
61*19, 63” 17 éy. eimety I1*1
Tay. ovX Ga vrdpyey evdexeTa TO
aire °T%, cf. 63” 26 coni. aro-
aos Te 9 TOV (a TO avTo eldos
OF) oo neara ravayria yiyvecbat
é¢ dAdnAay 44? 25, .ch, OOo dovy-
Gera éf GAAHAwY 57°22 anaen on
adAapany 75°30 coni. mpds Tu 56”
36, 57°37. éx Tov é& Ta peragy
7 Ta é. THs avTHs emorhuns
6119, cf. 996%20, 78°26 pndev
ovaiag é, 68911 é. kata Témov » 30
dist. dvrice(peva 695 ov aS ev.
HeraBadrer ib. 6 DAnv exer 75? 22,
87> 7a evavrios Seospoyae 57 Dir
ivavatoras 99522, 55%16-» 15, 58°
11, 63°14 dist. Suapopa, eregeras,
avrigaats, orepnots, mpos Tt 4°20,
55° I bia Ti 7 wey TOLEL TO eiBet
érEpa evavTiwats 7 e ov I. 9
evayT.ovabal tive ggo> a3, 79%18
évaytiws diapépovta 57> II
évayTiwaes 9861, 63°28, 69°6, 13
2 lod See ee 4 py
év 77) ovaia é, Exe 18°3 = évav-
tidtns I. 3, 4, 5898 mpaTar €. TO
évros 61%12, P13, cf. P5 —aiaOn-
Tar €. * 32 ToAAGs Umopevew €.
go*2
evap pos ggi>22
evavgerat Emp. 9°19
evdexds 84% 26
evdexetOat. ws ep’ daov évdexeTar 982
9, 26°25 Tas évdexopevas daopias
988° 21 TO evdexdpevov = eq’
doov évdexerat g? 34 coni. duvarév
47°26, 5OP IL
evdtar piBey mepi tos 98927
évexa. ov evexa 44°36 = 70 dyabdv
982 Io, 983 32, 996% 24, Dra, 138
20, 25,442 12, 59° Mowe coni.
Tédos, dpxf 9949, 13°33, 226, *21,
50%8 Twi kat tivds 722 TO
everd Tov 65% 26
evepyeia ©. 6-9, K. 9. coni. ovgia,
eldos, Near etc. 42° Io, 43° 23, 35s
5OPa, 43% 205,32, 008, 50 “16,70 PSs
43°12, 25, 28, 32 51> 31 OPPs
HAn 43°6, 12, 45°35, 71°22, 76% 10
opp. Guvapis 43 * 18) 65°16, 69° 16,
PH*® 6. iNT? 20,122 ag dist: eredexera
INDEX VERBORVM
47°30, 50%22 — dist. xivgois 48> 28
mporepoy duvapews O. 8, 9 dist.
épyov 50% 22 adn adds dAns
43°12 70 Suvdper kat TO evepyeia
év mws 45°21 éevepyela, opp. eee,
xwpiorov 48°15 700v7) i] é 72> 16
évepyelv 72°11, 13 Ta évepyouvra
of
Kat TA-Kae’ enaator 14%21
évia puxn 26%5
évvolas xdpuy 73? 12
évomrotds Adyos 45°17
évorns 18", 33 ope le}
évoxds Tit OP 17, 70°14; Gof 31
evravoa, Ta &. 990° 34, 99° E302 ey
evredexeia opp. dévapis 7” 28, 15*19,
17) admedOdvta ex Tis é. 36°7
opp. vAn 38°6, 78°30 He. xerplger
39” sy) syn. ovgia, dats 44° 9
coni. évépyea 47%30, 50°22, 65°22
evrevgis * 17
evTpaphvat 985°25
Spumancet 986° 7, 13% 4, 7) 24, 14°26,
OTe ues 7Ou22, noo 30 6 &e Tay
évuTapXovT@y Adyos 43*20
efaupely 994°12, 43°12, 47°14
éfavOciy 10% 10
etfs 68° 31—69° 2
us opp, bronelpevoy 983°15 coni.
7a0o0s 986°17, 15°34 = owparos
duddeois 9° 18 opp. orépnats 18°34,
ToP7, 85 55°33, 13 mogaxdis A.
20 coni. eldos, ios 44? 32, Yoo Te
7a0o0s 986°17, 15°34 = owparos
duddeois 9° 18 opp. orépnats 18°34,
ToP7, 85 55°33, 13 mogaxdis A.
20 coni. eldos, ios 44? 32, Yoo Te
4 70d eldous €. 55°12 €, dmadelas
46°13
efioracba 9°29
éfw AaBeiv mr 21°13, 55412 é, ov
wal xwpiordy 65%24, cf. 28%2 éfa-
Tépe 55°25
efwodels 2 25°27
efwrepurcol Adyou 76% 28
endryew 989° +33
énayoyy 25>% 5 64%9 — dist. dmédergis,
Spigpos 992" 33, 48°36 AapBavey
did THs, SnAov ex THs €. 25°10, 5433,
55°6, P17, 58%9
enatay, 981 *24
4°10
éraxrucot Ad-you 78> 28
émdAdagis Tay SaxrvAwy 11* 33
éravaBhva 990°%6
éravadimdodaat 3° 28
éravadaPoytes eimpev 35° 4
mepi Tivos 99634,
| énavépxeoat 381
ererodudbns 76°1, I 90” 19
émexteivery 14° 17, 28°24
énépxecbar 986%13, 995%24
mrept
Tivos 388, 42%25 tt 8g>2
INDEX VERBORVM
émeOa, Ta Emdpeva 84°33
vos 23%24, 30°22
eméxewy Jae
én Twos 993” 17, 99621, 999° raat
2ar ev ét pOAA@Y Qg0” 7, 13, 991%
2,40°29 ent Trav Kad’ éxaora O* I,
35>28 én rod macxev 19% 26,
émt wuvi 26533 em mAéov,
ToOAv, ef €y y. Todd,
émrope-
ovvexes
émBadrAew Tivi 993° Tt 53°35
émBrEmev apddpa 33°21 7793
emylyvecbat 987% 29, 35°12, 30°31, °6
em(nreiy 988*16
émBupety 48°21
émdelmey 84% 13
émpedctoda 8» 28
émpedes 264
émpnvea. 71” 30
em po prov 21%
émimedov 16°27, 28, 76>5- 35) 7910
oxipa é. 241, 45°35, 79°5
émpohaies 98722 émuoAaudTEpov
993” 13
émimovos 50> 26
emoanéepacbat 4 P60, 527;
énignepis 983°2, 989” 27
EmioKoTrely Kaoron, KaTa pépos 3°23,
5%29 = mepi Twos 37°28
émiarasdat syn. €ldévar 982%30, Yat,
994° 20, 8°27, 30
émigracis Bo? 25
émaornpy g81* D826 dipxuearrépa,
innperovaa, etc. 982% 14- 17; ™ 4, 27)
31, 983° 5, 996” 10 Tay e apxis
cidv emornun 983°25, cf. 25°6
ar emaorhpns 985°16 émornpyns
mept TOV aiaOnrav ovk ovons 987% 34
oi Adyou of dnd TOV emornpav 990” 12
omep ras émornpas aitiov 992% 29
Tay OvTov AaBeiy emtoTHuNnv TO TOY
ciddv AaBetv 9987, cf. 31°6 opp:
aladnoes 999° 3 Kabddov 3°15,
59°26, cf. 60°20, 86°37, 87*11-25
Beavorrrun 2 5°6 TpakTiKen, jwoun-
TURN, Beepeyraies 25 pie 26, 64* 16- 19,
cf. 982°9 mounrucal emorh pat 46>3,
73" I ov Tod oupBeBykéros 264,
27°20, 64°31, 65*4, 77°34 — Opp.
ace, 39? 32 coni. Adyos 46° yA BO? 205
77°28 HET poy 9 TOV mparypar ev 53°31,
57*9 me, mept by yevos pla 55°32,
of, 3°13 coni, émoryrdy 56” 30, 57%
8-12 Tavaytia Tis arts é. 61719,
78> 26, cf. 996%20, 4%9 opp.
von’ 75° a1—24 é. ditrév 87915
émornpovixds 39°32
émoTHyov 43° 34
émarnrov 982” 2, 99613, 3°14, 21%29,
56” 36, 57*8-12
85°6
émos hexam. 93°30
énra@ Pyth. 93%13
épav. epwpevov 723
épyov opp. opyavoy 13°3 dist. évép-
yea 50% 23 mpd épyou 31°16
épratixol Aéyou 12°19
‘Epps 73°32 éy TO AiOm 2%22,
177, 48733, cf. 50%20
‘Epportpos 98419
Epos Hes. 984° 29
épws Parm. 98424, 27, 988*34
eoxdrn Béga 5°33 é Dmoneipevoy,
UA, €ldos 10°23; 1724, 35” 30, 69?
36), cf 514229; 33 syn. dropov
59 P26) (2k éoxaTwTEepos 55%20
eoxarov adv. 983% 28
Eraipos 985>4
Ere pounices Pyth. G86%26
éTEpov MAO BES 54°14-23 Te
eter 18%38-7, T, 8, 9 TO yEvel
24 > 9-16
érepotns 18°15, 54°23, 58°7 dist.
Siapopd, 4° 21
érepdpOadrpos 23%5
Ere pars 48*30
ed, 76 988°14, coe 526, 9312
Se ile 482
Evdogos a 17, 73° 17, For 2t
evndes 62 evndws 24°32
Evnvos 15% a
e009 986% 25, 93°13, 19
evOdypappos 54° 3
ev0ds 4°5, 31°31, 45°36
eddverpia 994%2
eviaros 9719
evxiyntos cs 991 *16, 79°20
evAdbyoros Bpilies 92” 2”
evAoyos 991’ 26, 99913, 0% 23, 60°18,
74°28, 77°22, 85°15, 91" 7; 20
‘obK ed. 996° 33, 997°18, P19, A
II dist. dvaykxatoy ney 16, 81
Cholem 74824, 81°37, cine.
es 989°26, 7823, 86212, 886,
P20 ev. eupiatarr ed, Aderar, Ovp-
BeBnte 26513, 75%31, 80°10
euperanivizros 19*28
ebvodxos 1929
eddproTos 56°13
ebrropely 995*27, 91°30
ebropia 995*29
copeaT ERY OS. Hes. 984° 28
Evpuros 92°10
Tvs 996* 16
B12
evTeAca Ai duavotas 984°4
edopvés 3° 3. pogmes 987 34
ebxepns 252, 90°14
Roaporre 9866
epetns 4°90, 8? 3369" 14, 69%20
dist. mpos &, €v 5°11, 27524 arithm.
80*%20, 85%4
apeordvan Thy Sidvoiay, oxepw 987>3,
go*2 émotabeioa bpOn-51*28
e€xew tocayas A. 23 éxwy 72°23
éxdpevos 4%4, 28526, 37°32, 60°12,
69*1, 5
£903"5 cumpariaig3 *a0
Zeds 73° 34, 91°6
Cav rats pavracias opp. TexXvY 980 26
TO Adc TO byp® 983° 24 def.
45°
Znvev : hig
(aTnos 983° 22
(@di0v 73° 20, 2
(a) TOU Ocod 72” 26-30
(@ov Z. 14, 74°6 (Ga ena Siarpov-
peva (7 40°13
i ~obicientis 29°29, 70" To, 7p°6
ny Be 3073, 31°24, Sonaa,
58°36, 74°38 corrigentis 43%9
05°23
tyyevorieardrg émorhun 99610
Hon 22° 19
78ovr} % évepyea 72°16
7)0e1ed 981? 25, 987°1 4. dperai 78°18
HAtkia Opp. epya 984%12
Hos 71°15, 73°17, 22, 35, 74°12
pede LOY 35°9, 10 €v H. 51927
Typedduov oe 12, 21*1
iyplovos 33°33, 3482, °3
983% TEpteXEL
70 0. Thy bAnv piaw 74°3 70, Oeia
26°18
Tov pavopnevwy
Oeiws elpijodas 7429
Oepérros 13% 5,
Deororyety 983° 29
Oeodoyiky 20°10; 04° 3
Bcoddyor 0% 9, ec Bar Taras gr" 34
eds 983°6, 72? 25, 29, 30 apxn Ts
Oeotarn emortnun 983°5
Oedratoy 7416
983°8 To ev 6 0. Xen. 98624
6 6. Emp. 0%*29 Oe0t 997? 10,
42-9
Pee: 67° 12
Oeppavtinds 20°29
Deppavrds 20? 29
Geppos. TO 6. Parm. 9871
700. yo? 12
Oepporns 328, 34* 20, 27
Géots math. 985° Tie 16°26, 22% 93) Ploy
42°19, ae 30, 82°21, 85> 12 log.
32°7, 63°32, 84%9
one 16? 30
Oewpeiv mepl Tivos 983° 335 ET ie
etc. reOewpnrar ixavas, rebeaphaba)
983°33, AMT 6. Tas duoxepelas,
Tov Adyor, etc. 995*33, 64% 26, 997"
15, 998°10, 999° 25, 4°I, 10, 76°13,
78°21, 86%26 7a Kab’ aba oup-
BeBnudra 997% 20-33, 3°25, cf. 80%
ws €idos
ae} nares pea syn. émoKo-
meiv 3° ar, chi23 TO Ov H Ov 3°21,
Bae chs ham mept Tt 27°28 éK
TIVOS 38°34 opp. emiaTh Hav 48734,
cf, 50°12, 14 tds dpxds 61" 19,
cf. 99625, 59%24 Tod 0. &vexa
g1*28
Oewpnpa 83° 18, 90° 13, 228, 93°15
Dao 1575 2 TWos
Gewpnt inh ee
982° 29, 25° 216 epi Tt Oewpn-
Tinds 5° 25, 25 bio6; Ox 2a
Bewpia 989° 25, 993" 30, 5°29, 61°29
70 HRdvoTov al dpotov 72°24
O7Av 988%5, 24°35, 1.9 Pyth. 986*
25
Onpevety Tadnbés 63°14 é Tivos
84° 24
beryety Ths picews 986? 23, cf. 988% 23,
»18, o* 16 coni. ava, voeiv
BT? 24, yaar
Od\acrov 46*25
Opvdety Ta? 14, 76% 28
O¥pa 993” 5
tacts 9* 21
larpevdpevos 19°18
darputés 3>1-4, 60°33—61%5, 70*%30,
33
idéa Plat. 9878, A. 9, 31%31-16,
INDEX VERBORVM
39?12, 70°28, M. 2 4, 5, 83°34—
84°26, 86% 26-7, grP 28,29 oftds
i. airias T1Wépevor, AEyorTes, etc. 990%
34, 90°16, ? 20, 36°14, 39°25, 73°19
86°31, >14, 78°12 i. Tov mpds TH
990” 16, 79% 12 ovdeptay Eau dpi-
gacba 40%8 cope ib. 9, 86°33
maa pebekth 40°27 Kaddrov 42*
15, 86°33 {cont dpt0 wot 76*20, 80°
12, 81°47, go? 37 TO. pera Tas idéas
80> 25 carly oxXnpa ons i, 29%4
iS0s 990" DSenTOr-3 16, 64° 22 1. 7a0n
Pio beer 16 ds t. brapxev 38°23
trobéces, ddgau 86%10, go? 29 ~—s ida
4277 idles 61” fe
‘Thids TO oe év 30°9, cf. "9, 45°13
Epdriov 29°27—30%2, 45°26
“Inmagos 984°7
“Intov 984% 3
isd(eoOat pass. 81°25
ides toov 93°13
iodpi0 nos 93% 30
icax@s 13°16, 54°14
isoymvios 54° 2
ioémdevpoy 16°31
toos def. 21°12, 56°22, 82» 7: TS
avrixera. TO paren: Kal TO puKp@
rs 70 t. Plat. 75°33, 875 v, Je
iows caute asseverantis 987% 26, 995*
17, 5°6, 10, 1533, 26°15
igoawenes 16°31
iadrns 4> It, 54>
iordy 70°25
704
toxvatvew 48? 10; 27
ioxvagia Te! Tr, 48°10, 29
ioxds Biadenrsich 7825
Kara méyran’, Kouwdy,
bdrws 990" 20, 38 23°29 opp.
Kae exaorov, €axarov, KaTa épos,
ént Hépous, atoxeloy O81, 18°33,
71°28, 59! b26, 60°32, 84>14 176-
TEpov ai dpxat xaBdrov 3°7, 60° 19-
23, 69% 27, M. Io, Ch; pie Ta.
x. ov ovota 3%8, Z. 13, 53°16, 60
21, 87%2, cf. 69% 26, 27, 718 20
nal? aira t bmdpxet ry 35 def. 23°
29, 38°11 T® x. ai idéar ovvar-
Tovow eo" iy wm oee we) emorquy
Tav Kt. 5926, 60°20, 87°17, cf. 999%
28, 3613, 3628, 86> a
nat explicative 3" Pa 2On 3098 ° 7, 40”
9, 72°22, 89° 3, etc.
kaivoTpeTesTtépws 989>6
2573-2
513
warpds Pyth, saat 30, 990%23, 78>22
éxet Tv reaupby 43°25
kaxoTrabeiv 93,” 26
Kakds. TOK, onpalver 70 mowy 20°23,
cf. ib. 13 Ta Kaka, 7d weandy 51%
T5r21,. 75> TAclw Ta kK. Trav
ayabiov 985 %2 Pyth. 986*26 76
kK. Odtepov Tay in, Acad. 75%
35, cf. ib. 37, 84°35, 91°34
KadAlas 981 > etc.
KdAdurrmos 73°32
KaOv syn. eyeter 19322, 9% 30 dist.
dyaboy 78° 31- 5 PUVEREVOY Key
ov kK. 72728 Pyth. 93” on TO
Begs ph ev apy elvar 72°32
kaumn 40°13
dure, Kexappevn ypaypyn 16°12
ea pmbdov 95725
KapmvrCTys aye 2
wd pis 16710
Kava Lae ©
keapDia nae . 35°26, 44° 17
Kard TL AéyecOau 987° 9; 9988, 4°19,
18%36, 19712 — Kad? éxaoTov.
ai yeveoets wept 76 Kad’ €, ciow 981%
17 eiTe py éort Te Tapa Ta kK. &,
999°26, cf. 60%3 Ti 999° 33
sence” ai dpxal ds Td Kad? Exaora
eye ie F230; 86°21 syn. évepyoovra
14? 2; ef. 1336 kara THY al-
o6nawr mporepa 18> 33 HGAAoy Claes
ues 29 — ad? erepov, dddo 13%,
39°10, 49725 — Kal? airé 990°
21, 20°14-26, 22%24~-36, 29° 14, 16,
29, 30°22, 31°28 4, av. nal Bers
31513 = —«xae’ & A. 18, 32%22
TO Kad’ ob 7°34, 49%28
KaTadederppeva 74? 2
KaTadAnrws 41%33 v.11.
KaTapeTpety 23°15
Katrapnvia 44°35
HET ADONIS KEL, Tu els TL Q90%3
KaTavoEly 52 I
Karackevd ew yéveow, ovsias, etc. 984
25, 60°18, 991 »28, 80>18.
karapdvar yar, 1120
kaTapacts dist. pdots 51°24
Katnyopeiv émt Tivos 99816, 24, 999%
15 xatd Tivos 999*20, 23°31,
60°5 rd Katnyopovpeva 7O"1, cf.
28°13
Pare paRe 28° 22, 53°19
Karn‘yopia 4% “295 18° 38, ZO Roe S
32°15, 34°10, ae 34, 65°8 6888,
88%23, 89°27, D2 oxXIpa, oxi
para THis 1“. 16 34 Tye aaa 13,
26° 36, 51° 35, 54°29 ovoToxia
THs Ke 54" 35 58°14
ed eh 43°28, 54” 12
KaTw 992°18, 994* 19
iy]
514
Kavoos 981°12
keipeva dvépara 40°11
péevav 4710
Kevodoyely ggl*21, 79°26
kevdv, 76 48°10 Dem. 985°5, 9728
Acad. 84%33 bid evs A€yetv
992%28
kepavvva0at 43% 29
Kepadaiov 42° 4
Keparaody 13°30
Kepadrawdes 988*18
KEepary 7O*19
kenpwos 35°15
KOapiCey 49°31
70%21 7d mp@rov mvody axivntov
av7é 12°31, A. 7 70 Kwvody mpwrov
678i ch yo8r coni. mparreyv
23°18 5: 70 TOD Kivovpevou Kert-
vng0ai Te 49° 36 70 Kwodv A. 3, 4
2 a
€k TW KEl-
kwvovpevov Pyth, 986%25 70 avTo
éavrd kvodv Plat. 72°1
kwnos K. 9, 68%8-25 bbe 7
dpxi) THs «. 983°30, 984%27, 985° 19,
cf. 988° 27, 9966, 13g opp. o7a-
ats 4°29, 25°20 coni. evépyea,
mpafgis 20°20, 48°28, 22%7, 5, 48>
20 coni. vats 25°20 coni.
bAn 26*3, cf. 989>32, 36°29, 69>1
coni, mody, moady, etc.29>25 — dist.
évépyeia 48°28 amhh, taxlorn,
ovvexns, anavoTos, mpwTn, 6padrn 53%
03.70.95 72 721, FO NES dist. ~yéve-
ats, pOopa 67°31—68*5 avaykn
Tpeis elvar knoets 68%9 advvarov
K. yeveodar 714, cf. 33 kK. Kara.
Tomov 73°12 Acad. 84°35
kwnytinds 9846, 49°47, 66%28
Kuta pop 69” 26
Koa 19% 28
whénrns 21°18
Koidos 25°31, Z. 5
kowddrns 25°33, Z. 5, 35°4
kowdv 43°31, 69%30 ai k, aic@noes
98114 k. Sofa, TA k. 996” 28,
997%21,61°18 Kowh 3*10, 39°1
Kowvovabat 99312
kolpavos Hom. 76%4
KkodoBov A. 27
KoddBupa 24*13
Kopionos 1015%17-32, 2618, 37%7
Kopupatos 18°29
Kooporotety O1*18
kooporaia 985% 19
Kéapos 984” 16, 990% 22, 63°15,
Kovpov 20°22
kovpérns 20° 10
INDEX VERBORVM
“pacts 42°16, 85°12
Kparvdos 987*32, 10412
kptots Pyth. 990% 24
KpiTypiov 63% 3
Kpitys. Kkpitny AapBavew 989°*7
Kpédvos 73°35 :
KpvaTadXos 4379
KbBot apOpot 93°47
KUKhos 16516, 3671-18 4 KUKAD
pope 72°9, cf. 7111, 72%22
Kukdopopia 52% 28
kbruts 65°19 v. 1.
kbptos 981 10, 10°13, 20%4, P14, 48
10, 55222, y4PI9 7a Kk. Tis
ovoias 24%24, cf. 35°25 Kupiws
3°16, 15%12, 45°36, 48°12 Kupio-
Tépws 506
Kwdvev TwWds 49*9
Parm. 9°22
AapBavev 127, 52>2, 53%27 bd
Ths enaywyns 25%10 mept Tivos
sepa 7a, oTotxeia 69°33
AclWava 7412
Aegis 328
Aentéraroy 989*1
Aevxummos 985° 4, 71°32, 72°97
Aeuvedy gg1*15, 6226-30 exemplum
Tod oupBeBnxdros 17*15, 18, °28,
ea Z. 6, 37°15; 77°5-1 I,
3
Aqpers 18°34, 55°37
AlOtvos 33°17
Aurapdév 44% 22, 46%24
AoyilerOa 47°7
Aoyixds 5% 22, 80710, 87°20, 21 Aoyt-
KOs 2913, 30°25, 41°28, 69% 28
Aoytapds Q80> 28
Adyos Opp. Sidvorag*20,11%4 Adyov
xdp 9*21, 112, cf, 12°6 6
Th povy Adyos g*22 —A. Exew
981°15, 996°9, 6°13, 10°17 = ev
Tos A. keys 98731 of &y Tots
Adyos 50°35, cf. 8425 opp.
paivecda 988%3, 87>2 Katddrdyor -
989%31, 8894 é Adyou63"8 6
abzds A., Tov abTod A. 989? 10, 2°25,
DIO 7a 998°13, etc. GAdos A,
27%23, 44°6 A. bmopeve, bméexetr,
etc. 6926, 11°22, 24, 25, 6%14, 11%
Q, 12, 18, 2%, 12°18, 19, 2%, 63%
A. éprarinol, Aoyinwrepor, axpiBéorEpor
12*19, 80°10 ~— A. evdns 24>26—
25*1 A. paxpds 43°26, 91°47
eEwrepicol A. 76%28 — duvapes
pera r., dvev d, @. 2, cf. 47°34, 50°
33. Ths wuxijs 7d A. exov 461
— syn. défa 9*3, 12°14, 47%6, 51°
14, 78°14, go®2 = definitio 626,
14°10, 16°35, 28°34, 315 yu amos
Di Agbo8 opp. ¥An, atvoador,
2, cf. 47°34, 50°
33. Ths wuxijs 7d A. exov 461
— syn. défa 9*3, 12°14, 47%6, 51°
14, 78°14, go®2 = definitio 626,
14°10, 16°35, 28°34, 315 yu amos
Di Agbo8 opp. ¥An, atvoador,
INDEX VERBORVM
aicbnots 98619, 32, 39"20, 58°10, |
coni, «los,
18, 64°23, 74°34
5, 43%20, 42% 28,
poppy 996°8, 36
69°34, 8411 opp. dvopa 61,
30°7 A. Tod ri qv cya, THs
ovatas 13,*27, 16*33, 24%29, 29” 20,
31*12, 18%10, 28%35 i) ard TOV
A. oboia 25°28, 35°13, 15, 37°17
dist. dpopds 30*%14, 37°11 al ev
Tos A. dpyal g96*2 70, ws byos
airta 70*22 6 A. THs obcias es
998" 12, 24% 29 pia i ovvexeia
cider 4 AbyY 16%9 Th vy THR,
23°23, 33°1, ch 15°25 pepy Adyou
Z. 10, 11, cf. 16%35 dvadvew rors
a, 63°18 TO. xupiotov 42%2
coni. émorhyn 46°7, 59" 26 np6-
Tepa Myy, opp. oiaig 49”11, 77°14,
cf, 18°32, 23%32, 38527, 54%28,
78*10
84°15 arithm. 985"32, 991" 13,
17, 19, 993°17, 1°30, 53°16, 61"1,
9214, 31 ward Tov a, 18%27
Cf. dvdroryov
AoBopia 13*10, 23*30
Aotds nbwhos 71*16
AofodaGa 73” 20, 29
Avkbppov 45°10
Avots 995% 29
Awpacba 63%2
Admov = iphriov 6” 26
Méyot 91” 10
pabhpara 985°24, 992°32, 996%29,
4*9, 77°18 h &Y Tos p, Gppovurn
997” 21 ea. p,. 26%9
pobnparixis 997°2, 61%28, 77%9, 80%
36 thy pobnyariuwrépa yg2”2
dpiopos p. M. 6, 86%5, cf. 76%20
hp. 26%7-26, 61%32, 64%32, cf.
981" 23, 78°33, p
22 TOWMTtHOL t. pp. EmaoTHpa
oy ee 78*33 TO p, peratt
t. 987" 15, 992° 16, 99517, 2°14,
2820, 59°6, 69235 opp. 7a
alabyra 989°32, 990°15, 36%4 74
p. TORN arta bponby 2°14 coni.
clin, tbéac Acad. 2"14, 23, 28°20,
76*20, 83%23, 90°26 nbTE pov
ovola 42°12, 69%35,M. 1-3 xw-
proroy aitan ot0éy 59"13 hy Tay
p» An ib. 16 polnparinas heyew
5*6, 8026, 28
lie nas yiryveras 992" 30, 294
pabnrixés 980° 21
panporo.ey go” 30
panpés. paxpoy nal Bpaxt 992* 11, 85*
10 Abyos paxpés 43°26, 91*7 y
parands débyos go”8 padakdstepoy
dnobenviva 25°13, 64*6
Ty ps Exel pep |
| pavoy 985
| pebetis Plat. 987”
byy, dpiOp@ ev 87" 12, cf. |
péooy Ti 9947 11-19
515
pavOdvew 980923, 24
11, 9925
paprupa end-yecba g95*8
yg 69% 25 5 dbyos paprupet
7°3
paxn &¢ rAovboptas 13%9, 23%30
péya ral puxpiy 20°23 ~—-~Plat. 987”20,
988% 26, 998¥10, 83%24, 32, 87>8-
16, 88%16, 90°37, g1*!o TO
dreapov &t p. wal. 987°26 —puxpov
Kal peya gg2*12 clin ToD yp. Kal
ToD p, 85*9, 12, cf. g92%12 — ms
dyrixerra 76 toov TO p. Kal TO p. I. 5
peysropépea 989*6
Meyapitot 46" 29
peyebos 990*26, 20%9, I1, 53*18, 25,
83°13
pebentbs 99028, 40%27, 79%25
14, 21, 45°8, 824
17 = ely kara p. 31°18, 45*18
pébob0s 983%23, 4, 984%28, 76%9,
86%*24, 91%20
peravia, 20" 10
pereray 50*1
perAlnparoy 42°17, 9229
Méducaos 98619
| pédAurra 980" 23
KaTd peplbas 82°36
pepio pos eueliies 29°20; 32
pepiorov 24712
pépos mooaxas A, 25, 34°32 opp.
bdrov 9936 70 alrioy Tod Toelv
mpa@rov p. 34%26 p. TOD Adyou,
Tov mpayparos Z, 10, 11 év pepe
98912, 3%12 KaTd pépos 5%29
76 éml pépous 84°14
dvd, pécov 61%
21, 63°19 ~—_ peor etipeots gg6” 21
ai péoa 93,729
pera Taira 671 69°35, 70%4
peroparrey ois whbec 983,” 10
KOTO,
70 moaby, mov 10%23 peragy
tavra eis boa p. dvdryen mpbrepov TO
petaBadrov 57%21 ef dyties-
pevew ib. 26-31 ov Ta évayTia p.
69°7 coni. tAn, Stvayus ib. 14,
24, 15, cf. 10%15-22 th, bad Twos,
els 71 69°36, cf. 984%22
peraprAnrixoy 13,*32 apxi) p. 20%5,
49°6, 51*3
peraBanrés. ovota p, 69"3
peraBorkn K, 11, 12 eis TO dyTicel-
peva Kal peragt 11°34 ée Tay
dyrikeapevew h Trav petats 69"3-14,
cf. 57%33 coni. tmoxeipevoy 42%
33 p. Twabnrinn 46%12 yp, Téo-
aapes 69"9, cf. 42*33, 72°9
Llg2
516
peTabects 24%4
peradnyis 7220
peragd Plat. 98716, 99129, 99216,
997°2, 13, 998"7, 2°13, 21, 59°6,
hin es — def. 68°27, cf. 56°32,
Bye 2m, OOM ee hd HB. avTipacews
ovdev T. 7, 552 coni. dv7ikeipeva
TLP35 OoM4 el. 2347 ee TOV
évaytiay 7a pw. I. 7 +5
petampere Hes. 98429
perapéepery 14°3, 20°25, 21°17, 26
petapopal omtinat g91*22, 79°26
perapopG 15711, 24°8 Kara pera-
popdy 19°33, 21°29
perapiva Emp. 9°20
peréxety 990” 30—991*3, 37°18, 75>
19, 20, 82°18 7a peréxovTa ggI*®
14) "5, 79°18
perievan évredOev 41*10 ~— rept Tt 444
PETOXN. Kara peToXHY 30°13
perpely 983°17, 53°33
petpntés 983%20, 21°29, 56°22 v. 1.
petpiwtepov 987*TI0 v.1.
pétpov 7d €v 5218, 72°33, 87>33
dxpiBés 52°36 ovyyevés 53%25
dbdiaiperov 88% 2 émoTnpyn p. TOV
mpayyuaToy 53°31, 57%9 Trav TOY
py. dvOpwmros Prot. 53°36, 6244, cf.
19, 63°4
HExpt mpds 28° 26
pijkos 20°12
pnkdvey 83°6
pytiCecda Parm. 984° 27
pijris Emp. 9° 19
pNxavy xphoGat 985°18
pnxavinn 78°16
piypa Anax. 12°28
75°4, 92°7
piyvvcba 9892, 42°29
pévot 918
puxpodoyia 995%10
pk popepeatatoy 989* I
puKpov, V. peya
purpdrns Anax. 56°30
pipnpa 988*7
pipnots Pyth. 987° 11, 13
Emp. 69°22,
of pepy-
wigs 989°4, 43°13, 82°21, 85°11,
g2%24 }
pynpn 980%29, P25, 26, 28, 29
pynuovedew 980? 22
povadicol adpiOpot 8019, 30, 826,
83°17, 92°20
povas def. 16°25, 30, 84°26, 8935
oriyph aeros 84°26, cf. 69%12
pw. dpode’s got’24 p. Biapopor,
dovpBanro. 992°3, M. 6-8 tis
povddos Siapopa 83% 2
Hovaxdés 40°29, 7629 povaxy 16
26 = povax@s 99515, 997°35,
12%29
~ povatkds,
4
HDO0s 98219, 74?
pududns 995° 4
popia 88°11
pupiakis 7°16
vat 34°17, 44°16, 19
vavTar 23° 1
vedtn 93°3 v. 1.
veixos Emp. 994°7, 0°27, 72°6, 75°7
véxrap O* 12, 17
Népea 18°18
véos 987%32
ynvepla 43°22
yntn 18°28, 57%23
vapor 984°17
voeiv 99014, 994°23, 24, 26, 610,
326, 8
vonpa 99025, 79%21 Parm. 9°25
vonows 16> opp. molnos 32°15
dist. aicOnows 36°6 coni. Adyos
52% 30, Pr, 7593) cf. OOn am dist.
vods A. 7, 9, cf. 51%30 vonoews
vinows 74°34
vonTiKey 52°3
vontoés opp. aigOn7és 990°31, 999°2,
36°3, 10, 43°30, 45°34, 707
vontov dist. Siavonréy 12%2 dist.
dpextov 72°26 = Td mp@rov v. ib. 27
pears Tod v. 20
vépwot 995°4, 74°5 vopou xapwv 76%
2
fae 27°10, 68%22, 26
voupnvia 27%25
vods 70226, A. 7, 9 v., Kal pugs
992*30 Ths huetépas Wux7s 6
v.993°11 dvOpmmwosy.75*%7 vv,
Exe 994°15, 95 vy TEXYN,
dvvayus 25,22 TavTov v. kat
vontéy 72°21 — Anax. 984?15,
98521, 98915, 69°31, 758, II
Pyth. 98530 Parm. 9°23
vurrepliov dupara 993°9
VUKTIKpUpHs 40% 31
viv. 7d vov 2°6 pexpt TOD viv
994*18 _— of. viv 992°33, 69% 26
vig 71°27, 72°8, 19, 9t?5
vadov 68%7
INDEX VERBORVM
&, gTuppovia 93% 20
favOds 54°13
fevik@Tepa coni. dyvwordtepa 995%3
Eevopavns 986>21, 1076
¢uveévat Te To OvT@Y 5°15
dynos 85712, 8914
b5e 9908, 997°30, 14222 T5€
syn. ovala 3824, 6911, 89*11, 32
rode Te 1°32, 17225, 28%3, 29%28,
30°4, 39°30, 32, °4, 42°27, 29
AQa 35,07 OIclO,| 13, etc. Tobe ev
TebE 30°18, 36523 68 9818,
ggoPr
ddoroe? 76 mpAypya 984*18
680s cis ovoiay 3°7 eis GAANAG 55°47
Tpo 6800 44°24
oinetos Ad-yos 24°33
yévous 58°37, P22
14°7
oixia 2656, 70*14, 75*19 Hh dvev
vAns 70716
oixoddpnots 50%27—32, 65°19, 663, 6
oixodopunn 26°10, 50°26, 7029, 33
oixodopunov 49>14
oioddpos 14°23, 25, 26237
otoy explicative 1815, 17, 33734, 55°
28, 70°23, 71°4, 783
éxnTds 82*30
dAtyov I. 6
ddvyoTns 984710, 56°30
oikeia 7a0n TOU
oikelws eyerOau
bAov 9936, 13°22, 24°12, 52%22,
69719 moaaxas A. 26 dist.
Tav 2473 = koopmos 75°11 syn.
avvodov 84°11 dAws ggo? 17, 13%
ZOpsi tA, 11, 12, (8°11 syn.
Kabdrov 9826, 23°29, 29°6, 33°
26, 71*23
dddtys 23°36
dpadds 78°13, 93°20
Spaddrns 32°7, 43226
dpadwveay 32°19
‘Opnpixot 93°27
“Ounpos 9°28
Gppa 980% 24
dpoyerns 98126, 57°29
dpoedns 99124, 2°16, 22, 13531, 14%
30, 248, 32% 24,679, 71°17
dporopepns 984*14
Adyos 62, 30%y
mpaypa 6°22
dvopacerOat ént rv Emp. 1572
dgurarn 933
dmep 126, 3°33, 21%28, 3073, g1 25,
etc.
énioow Emp. 0*30
émogocouy 5229
émoTeovy 4971
Omérepov éruxey 21°7, cf. 27*17, 13,
65%12
ém7iKn 99720, 78914
dpayv 980%25
dpacis 50% 24
épatixds 49°15
dpyavoy opp. epyov 13°3
bpeyecOa 980%21, 72229
opextov 72°26
Gpegis 48711, 71°3
6p6n (ywvia) 36% 18-21
épife 2°6 apiOud wpicpevos 2°18,
65 On vi TO wpiopevov 781
dpifec@a coni. Ti éotiv, ovaia, Kadd-
dou 987%21, 2674, 64%21, 78°18,
28 idéay oddeulav eotwy épicacOa
Opp.
7a 6. 77°5
énwna Emp. 07
40°8 = =§ — @piopéevws 20°33
éptopds 30°7, 31%1, Z. 10-12 ef 6.
diadexréoy 127, cf, *3, 11, 22 syn.
TO 7h fv elvae 30%7, 31%12, 44°1
dist. Adyos 30716, 37°12 ov Tay
Kad’ Exacta, THY aicdOyTav 36%5, 39°
28 Tov KabdAov 36%28, cf. 9873
dua Ti eis Z. 12, H. 6 6 nara Tas
Siotpéces 37°28 6, émuoTnpovtkos
39°32 6 6. dpiOpos Tis 43°34, ch
45°7 Soc. 863
épiatiKds Adyos 43°31
dpiotés 9986
dpkos 98331 Emp. 0°16
6ppn 23°18, 23 6. kal mpoaipeots
DSP 7giGten 2 coni. pais 23*9
bpos 929 syn. dpicpds 30°8, 38%
21, 39°20, 43°22, >26, 29; 40°15,
4975, 529, 55 %23 Kowos 0.
987°6 Tay Tpos Opoy 40%6 opp.
énaywyn, TO avadoyov auvopay 48*
36
doaxa@s 17°23
daax@orep 18%5
dcrovv Emp. 993°17
bre opp. Side g81%29, 13
kat 70 elvot 41°15
ovdds 42°19
ovdAopedera 93° 4
ovv in apodosi 983733, 2? 25, 27528
ovpavia, Ta 75%2
_ 70 6T1
518
ovpards 986%3, »24, 990%5, 20, 997°,
10*28, 2812, 42*10, 91°5 mpatos
ov. 72%23 drt eis ob. 74°31
ovata mocaxas A, 8, 28°33, A. IE, opp.
7400s, aupBeBnkds, etc. 98310,
25, 27528
ovpavia, Ta 75%2
_ 70 6T1
518
ovpards 986%3, »24, 990%5, 20, 997°,
10*28, 2812, 42*10, 91°5 mpatos
ov. 72%23 drt eis ob. 74°31
ovata mocaxas A, 8, 28°33, A. IE, opp.
7400s, aupBeBnkds, etc. 98310,
98510, 989°3, 2%2, 38°28, 71°11,
7*31, gg2>22 troxeipevov, ov
Kad’ Urorepévov 19*6, 42°26, 17°12,
a5°8, 38°15, ch. 985>10
apx7, airia 13°21, 41%9, °30, 43%2
mp@rov ov 28°15, 32, 45°29, cf.
38528, 69%19-26, 715, 8853
xoporov 28°14 ov. 7 Te VAN Kal
76 €ldos Kal 70 éx TOUTwWY 35%2, 7oP13
ds An, bAuwh 9922, Z. 3, 42°27,
9, 44°15, 49°36, 77°35 syn. €ldos
O87 Paic hls imaooe Site sas Pa aianh
15, 37°29, 41°9, 502, cf. 99614,
To38ar syn. Ti Av elvar 983%27,
988° 35, 993°18, 7°21, 22°8, 31°18,
322, 14, 35°15, 3814, 75%2 syn.
Tt €ott 98828, 25>14, 64%22 CT
kata Tov déyov 25527, 35°13, 15,
B72 Ly syn. évépyea, évTedAexera
42°11, 43°24, 35, 50?2, 72°25, 44%
7 dist. 70 odvodov 35°22, 37%29
syn. 7é5€ T: 30219 = advoAos 33°17,
Siete lor, Vy: avvOeros 43°30
H1) ovvOeTai 5127 © auyKepern 544
ov. aigOnTat 997734, 42°25, 59%30,
69°30; 23 dporoyovpevaa 42°6,
cf. 288, 69°31 guotkal 42°8, cf.
70%5 apiOuov Thy ov. anavTwy
Ryth.. 987419, cir th a7 76%30
ovoia Ta padnparind Acad. 42°11,
cf. 69°35, M. 1-3 mOTEpoy TAS
aioOnrds ov. povas elvar paréoyv go7*
34, ch. 59739 7A, KaOAov OvdK Ov.
B78, Zonta) Bah TG, OOMan 8 F2nichs
692247, 71%20 ovTE TO év ovTE TO
dv évbéxerar ov. evar 4oP18, I. 2
TO Yévos ov« Ov. 42°21, 5322 vdaota
mpwtn 322, 3810 pndev ovoia
évavtiov 68°11 ovata Tpeis 70%9
avayen civat Twa aidioy ovciay axivn-
tov A. 6 m@s modal évepyeia
ovata A, 6 mporepoy TH ovaia 49°
11, §0°4, 77°27, D214
oUTe... 5€ 46°34
dxela 988°6
dis 21%33->3
28, 63%7, 10
dporomnrinyn 27 %4
dporrotds 2473
= dpOadrpcs 11%
dist. 6pacis 50% 24
rraryios 8°15, 6215, 63°33
TAYXGAETIOS 9O7* 33
mdOnyua opp. ovata 98512
8216
madnrinn weTaBorn 40°12
oeAnvns
ey?
7) Ov.
INDEX VERBORVM
mabos mooaya@s A. 21 opp. ovcia
983°10, 98511, 989°3, 2%2, 38?
oxo mpy fit?) apOpav m. 985" 29, cf.
990727 ma0n Kat ees 986*17,
1534, 20%r9 coni. cupBeBnios,
Kivnots 989°3, 30°14, 71%2 nad?
aia 7d6n 4°6, 191, 3019, 31, cf
997°7,4>11, 9030 ‘oikela, (Sia
58°37, 22, 78%7, 16 opp. bmoxel-
pevoy 49*29 peTaBorn Kkard 76 7.
69? 12
mardapiwdns 995% 5
mada, of 69%29
mapmadaror 98328, 74?1
mav dist. oAov, mayTa 24*I-10
mav 69°19, 73°29, 76°1
mavTn TaVTWS 10%9
mévTws 10%9, 35°24, 36°30, 48°18
mapa Tatra AEeyecOar 987>8 mapa.
THY wAEevpav 51%26
mrapaBorn 36°24
mapayecbat 33°17
mapaderypa 13%247 Plat.
27, 29, 31, 7925, 31, 33, 35
Trapadery pats OO5*7
mrapadogos 1218
mapaxoAovdety 54% 14
Tapakpoverdar 25%6
mapadcinev O* 5
mapadoytGecOar 22% 21
Tapadoyiopos 22°22
mapavyTn 18” 28
0°16 v. 1.
mapédKev 985%20
mapepyov 7436
mrapéxeoOa 9885, go*4
napioraro Emp. g?ai
Parm. ib. 23
Tlappevidns 9843, 986>18—987%2,
ne 22 citatur 98425, 9>21, 89%3
Trapotpia 983%3, 18
mrapoupacecbar 993°4
mapopay 95°27, 93°28
nacxew 989%29, 18°16, 37°16, 68%9,
14, >16 70 mpHTov maaxov 44°16
marépes, Oxeavos Kat TyOUs 983” 31
marpos ddga 74°13
Tlavowy 50*20
mreOapxucds 61°25
mein, memeopevos 11°3, 86%20
med 9°17, 7424
mretpabels 64” 31
| mecpaorinds 4°25
\
TO
ggr*21
mapa-
naplorarat
INDEX VERBORVM
mevratds 7633
Temepacpevoy 994716 Pyth. 986%
18, 987°35 Parm. 986°20
TE pas RONaNG A. 17 Pyth. Be 23
990%8, 4°32 emt 7. HKEW 994”
14 coni. Téhos, apxn ib. 16, 22712
math. 2°10, 60°16 mpageav Tr.
48°18
mepiaupety 29°11, 61%29
meEpt ypapecbar 2 58, 642
Treplepyos 36923, 38%21, 32
mreprexery 13°34, 46> 24
meptAapBavey 986%9, 990°4
mrepiodos 72°8, 10
mepice@aban 74°13
mepitTos 983%2, §3°3 opp. aprcos
Pyth. 986%18, 23, 990%9, 91°23,
g2>a8, 93°13 Plat. 84°33-37,
gi*23
mepirrorns 4°11
TrepipépetOat 985 * 14
meropeva Sidney 9°38
meTTEW 989716, ae
TALvos press 35732
mhpopa 34? hs
mhpwots 40” 16
mBavov 0% Io
ninrev émi tr 9828
13°17, 71°7, 84°5
morevey 99718
niorw AaBety 903
moTorépa dpxn 624
mAdvnTEs 73” 37, 748 5
mrdots 86% 4
mracpatias 6439
mag parwdns 81> Fs, 8253, 85715
TAATOS Syn, emipdvera 20°12, 14
mharTew. TeTAdGGbar 9868
mAaTy Kal orevdy eat 992*12,
mAatvs Opkos Emp. 0° 15
TlAdroy A. 6, 988% 26, 990* 30, A. 9,
996*6, 179, 10°12, 19° Zi, ASD 14,
2819, 53°13, 64? 29, 71°32—72"3,
83°32 Phaedo 9913, 80%2
Hippias Minor 25,*6 Z
mreiddes 93°14
mreovace TO NE 99418
mAcovaxas 15°13, 14
TAnyas kadas TUTTE 985°15
TAGs Tt 20°8, 10, 54%22, 573 opp.
OAvyétns, Ev 984*10, 986%24, 4*10,
17, 85°33, "5-32, 876, 8, 27-32,
91°31, 34,92%28, 35 7. mpwrov 859
ry GX’ 7H 981*18 v. 1.
mdfjpes Dem. 985 °5, 9 228
minpovoba: 3 bd ee 7 988°6
mAngiov 1016
TrAvOivn oixia 33°19
mviyos 26°34
nodiaia 52°33, 78%20, 89%23
eis Tt 5*2,
888
519
moddTns 38715
Tobey Trot 69” 26
nrocety dist. mparrev 25°22 yeveow
Troveto Bau = yiyvecOcu 98831 momad-
pevoy pass. 21%23 Troveiy 7) ma-
oxev 68%9, cf. 14, >16
TOD NOX® 992? Legos, 25°'5,) 10,
60°32, 61> 12, ise 31, 37, 89°7
mohAogTN HO ploy 2028
moor 73°28, 31
mod VKapnTos Parm. 9°23
TloAvwAertos 13°35—34°15
moAveotpavin Hom. 76%4
modUs. moAAd TO ev ee 987%27 7a
7 Plat. ro moAv Kal dAtyov
Acad. 992716, 87°16, 88°18, 89°12
moAAd opp. 76 ev I. 3, 6, 75733 dist.
Todd 50°15 ds ént TO Todd 25%
15, 18, 20, 26530, 27%21-25, 64>
35 mréov Parm., 9?25 én
mAéov elvan 46*1
Toppwrepov 14%4
TooaKs tocol 205
ToGaX@s, TA TEpl TOD 28°11, 52716
Tooov pReeen es Ae aka opp. «ldos
999° 3, 10°24, 1623 év Kara 70
moody 1425 man TOU T, 20% s19
yeywonerat a évl 7} api p@ RaP oy
70 7. THS doptorov Piaews 63°28
petaBod? kata 70 7. 69" Io, cf. 10%
23 borepoy 70 mordv Tod Tm. 83°11
moadkis mocol 205
mogomotdy geas 13
more 993” 29, 52°5
mérepoy, éy dyTiWéoa 55°32, cf. 56°18
MOTE pas 75°11
Tov, peraBodr Kata 76 6910
Tpay Ha. peddos 24?17- Be
mparypareia 987° 30>, 59°18
mpaypateverda 9872, 98933, 99532,
25°17, 64%3
520
mparcruicés, 981>5 m. émornyn 993”
21, 25” OmaRs 200 ir,
mpawrév 25°23, 24, 59°36
T pats mepl TO #aQ’ exacroy g81°17
dist. wphruais 48? at
mparrev 23°18 dist. movety 25°22
mpecBvtatov 983° 33
mpodyery 985° 24
mpoalpects 4525, 15%27, 20225 4 Tr.
apxn, Kbpiov 13%21, 1825, 48°11
dist. dpegis 48% 11
MpoalpeTikos 25 %3
mpoapeTov 25°24
mpoatopely 99522
mpoackety 993°14
mpoyeyevnd0at 70% 21
Tpoyryvwakev 99231
mpodogacew 116
mpoedévat 99224
mpoevepyety 47°33
mpoemiaracba 55
mpoepxerbat 9906, 95°33, 91°35
mpotevar eis dmetpov 60°36
mpokeipevos 98928
mpodauBdave 50” 5
Tpommaanicev 996% 33
mpds Tt A. 15, 50°34, 35, 575, 16, 08%
TI, 703, 88%21-2, 8956, 14 Tay
mpos Tt dear 99016, 79*12 opp,
76 Ka8’ attéd 99020 TO mpods TL
heuora pots Tis 88%23, 30, cf. go>
20 mpos & 3733, 303 pos
GAANAG IL 71
mpooayev pvOuds 74° 4
mpocayopevery 99610
mpooamorpivecOat 7°10
mpocatopaiverdar 89» 16
mpoodnreay rt tive 83°18, 9133
mpooyiyvecbat 49*10
mpooyAtxecba 986 a7 OO-3r
mpoadetobat 55 *1 5
mpoodiopiCerOat B20 27 yrAo Tk
Tpooetvar 29? 19
mpooemiTibevan 987 *15
mpoonkdvTws 58% 22
mpoa0eats logice Aeke éx mpoobecews
Ooe 27, 29°30, zZ. 5, 773 Io =©math.
994” 30, 661, 81P 14, g2>3r
mposkarn-yopetaOas 54716
mpoorelabar 29” 31
mpoorapBdvew 82°35
mpooTiOévae 18, 12, 16, 30°33
mpoorpéped bar 63% 29
355 — ovoig 77®
27 Ady, ovoig 77>r ev ois
TO 7. Kal U. 999°6 dpi pov & EXOVTOL
7o 7. kal J. 8012 _Mpore pals, de-
yeoOar13 31 — mparov wt 3°16,
30°10, 373 7. airia 983%25, cf.
9822, 3 >16 ef 0d yiyverau mips
Tov 983°9, 989°, 998% 23, 35,45. 4p
7, 14°26, 52°14 ot. BAN 15°77;
44°18, 49°25, cf. 16220 syn.
Kuptas 15°13, © ET; Noo %rseporApmnele
46°16 ot. moddaxas 28°32 syn.
Kal? abré 31°14, 32°5 = ovala
32°25 28 LOn ser Queary ar O.mck
99815 nm. macxov 44°16 T.
orépnats 46°15 = eldnriKds Go
13, 80°26, bo2, 81%4, cf. 24-230
T. KVOUY 70*I, of. 67>8 évavTiov
TO Tt. ovdev 75» 22), wae of mp@rot
pirooodjaayres 982” 11, 9836 TT.
apiO pot 987 345 52°8 mpwrws 16
8, 184, 2293, 175 28°30, 30823,
29,5, 31°13, 49°13
TpouTapxev O* 26
mpodpyou 983 4
mpdxetpos 98213, 54? 12
[pwrayopas 998*3, 722, I. 5, 47°6,
53°35, K
mpwriaros Parm. 984" 26
mra@ows 89% 27
Tlvdaryépas 986% 30 walk
Tlvdaydpecor 985 2398608, 987913
27, 21s 23, 31; 989" 29—990" 3a,
9966, 1*10, 36518, 53°12, 7 Dia
GaP at, 80516, 31, 838-19, go*20-
35; 91“13
mukvoy Kab pavdy 985° 11
muKvodacba 42°28
mop 984°7, 989%2, 1°15, 67°5, 70°19
mupivos 6 dnp 49°26
muppos 54°13
Tl@Aos 981% 4
padvpws cera 985>20
paoravn 982523
pety Heracl. 987%33, 63°22, 35, 86°37
biiHa 40> 34
pyrov 17°
poma 52229
pubpicay 75 12
pud yds 87>36
puopds Atom. 985>15, 16, 42°14
pyres 17%3 v.1.
caivew Thy puxnv 9o*37
aap~ 93°19, 20, 70°19
vehnvn 73°17, 22, 36, 74°12
cepvés 74°18
INDEX VERBORVM
onpaivey Kad’ évds, &v 614
onueiov 980*21, 981" 7, 998%6
oi-yHa 93°24
o.pov dist. KoiAoy 25° 31—26°1,Z. 5, 10
a.porns dist. kowddrys Z. 5, 3731
Sipwvidns 98230, 91*7
oKédos 16°11, 12
oKeTAT HA 43°32
oKerraoTikds 43°16
onenrecOar 28°15, 29°25, 76%22
oKevacTa 13°18
oKelus twos 98613, 98929
Twos 9929, 5*22, Pr, etc.
76*10 idia 73°18
Aéyots a. 98732
okiaypapia 2423
oKonely wept Tivos 0*19, 5*33, 59°18
Tt 10%2, 64°19, 22 Tl €& Twos
7a Ris oxoneiaOa syn. Oewpely 29%
I
oxdT0s 986% 26, 53°31
okuTiKn 996*34
ope 9935 v.1.
gopia A. 1, 2, 9969, 5°1, 59%18-34,
60*10, 61°33, 75520 copia 995”
12
copiCecOar pvOiKn@s 0718
copraTns 996732, 4°17, 26°15
copiorinn 4°18, 23, 26 Plat. mepi
7 pn ov 26°14 a. edeyxos 32°6,
49°33
SopokrAjs 15%30
aopds 9815, 982%6-21
OmepHa 44°35, 49°2, QI*16, 92%32
dist. youn 71°31
Srevourmos 28°21, 7231
orovdaios 2124 o. Sivapus 51% 4
amovdy amodeKnTinh 73%22
ddndos 33%13 opp. ééts,
26, cf. 4%12
orepyTinn damdpacis 56°17, 24 oTepn-
Tunas ib. 29
oTLyu 992%19, 2°32, P4, 16226, 44%
8, 60°18, 69%12, 766-35, 8426,
27, 85°32, P27—31
oroxelov = littera 993710, 23%36, 34°
26, 27, 35°11, 14, 41°13, 86%23-
mept
TOT Epov
q &y Tots
52
32, 87°8 = elementum 985%25,
986°7, 9, 98974, 6, 31, 992°18,
9939, 1°18, 59°23, 8415, 86° 20—
875, 883, 15-32 coni. dpx7,
aittoy 983” 10, 98930, 99528, 998*
22,255, 42°5, 59°23, 69°26, 70%
34-516, 71925, 86222, 87%2, g1*31
dist.dpx7 41” 31,70 22-26,87>13-15,
903,10 = Tav daypapparwy 998*
26 motepoy Svvawe eoTt Ta OC.
PAI mocax@s A.3 o.TéTTApa
Emp. 985%*32, cf. 998°31 TOV
id@v arotxeta Plat. 98719
aToxemdéaratov 98835
orotxos 9234
oroxaecbar 273
OTpaTevpa 75°13
oTparnyos 75°14
aTpéperOar rept Te 422
aTpoyyvaAov, TO '70*3
OTpoyyvaAdTns 35714
=rvé 98332
ovyyerqs 99512, 47°31, 53°24, 76°18
ouyKeioba opp. Sinppaba 22, 2721,
5122-19, 34,35 —_ && Tivos 5733,
70°6 ovyKepevn odoia 545
ovykeipeva opp. davrGera, 7618
ovyKkepadaovy 52°17 :
avykpivew 984%10, 985%24, 20, 989%16
avyxprors 984%15, 988°32, 35
avykpiriKov xpapa 579, IO, 19
avikopavTns 21°18, 20
ovAAaBn 23°36, 34°26, 27, 35%10,
15, 16, 4112, 8623-30, 87*10
avAAapBavey 99828, 35°28, 34, 37”
oy 7 guverAnpupévoy 25°32, 35%
év TWt 9379
23, 25, 30°27, 37°5, 5872 — ouver-
AnepeD TO SexTiUKd 55°8
avddoyicecda med. 42°3 pass. 22°
21
avdAoyicpds Q90P 10, 79°6 =o. Mpa
142 ék TOU Ti EoTwW Oi oO. 34°32,
78°24
oupBaivew = convenire 8394 = eve-
nire 982°22, 988*r = concludi
posse 987%27, 989%22, »1, 16, 990”
19, 99124, 998%9, 17, 0°3, 231,
42°12, 565 —oupBeBnkds Tooaxas
A. 30 o. (Ka@’ abré) = proprium
9893, 995°20, 997%20, 29, 33, 3°
25, 47, 25°30, 59°30, 33, 61%4,
88°17, cf. 981%20, 995526, 78*5
o.=accidens 7°15, 21-16, 13°34—
14%20, 18*1, >34, 25%14, 25, 26°
13, 21, 32, 27°14, 20, 33, 30°14,
59°2, 61'S) 6418, 31; 65%, cf.
rage % vAn airia Tov o. 27%14
kara o. 98815, 7931, 14°8, 15°16,
17°7, 19-22, E. 2,3, 3119-27, 52%
19, 59*2, K. 8 70 Kata a. ditTdv
522
Rivas obdeuia éorl mepl aro
Oewpia 263, cf. 64°31, 65%4 ravTa
Kara o. 377 otbev bd Kata
o. 59%2
oupBadreo8al tux 991%9, 76%2, 7913
oupBaAntat Hovades M.
ovpBdrma 995711
ouppévery 77% 24
ovpperpia 4°11, 7e0t
o¥MpeET pos 12°3 33, 1924, 24°20
oupmepacpa 13°20
oupmimrer evAdyws 26>13
oupmdcxecOar 72, 14°13, 19, 62>5,
63°23
oupmAoKn azn 29, 65%22
oUpmrapa 03°17
ouppava 993% 23, 12*19
cupgvew. oupmepurévar 14” 21-25, 46%
28
ovppvars 14°22, 40°15, 69°12, 7O*IT
odpouros 993°1
ouppavia def. 43” 10, ga? 14, cf. ggt?
14 eg gees 93720
ovvayew 9g1* 18, ne ii, 42° 3, 70022
Stee cea 9932°3
guvatrioy 15221, >3
ouvadnbeverbar 63% 21
ovvappotepoy 62? 4
>16
avveyyus 2 >32
ouvedpedey TO Adyw 987 %2
ouvelpew 995710, 90? 30, g3>27
€tpomevn mpaypateia 986%7
ovvexera 169, 15, 50°26
ouvexet aoe
owvexés TA 025, ee TO Wen.) OO Me 1 |
pica, Bia, and@s, etc. ie 23 B32, |
40°15, 52°19 ep &, emi duo |
20°IT, 61°33; Dog TO oO. Ths
VonTEws 74” 29
ovvnbes 995°3
ovyOects formae et maleniae: 1522;
45? LI elementorum 14°37, 42°
16, 43°13, 92°26 subiecti et pre-
dicati 2719, 67 26
cbvOerov ex THs UAns Kal THs poppys
FPA es Sto bp te: o. ovaia 43°30,
Ch S727 €ort Kat Kata Tas dA-
das Katnyopias ctvOeTa 2923 opp.
\
|
|
|
Twi 42°16 mpds
eis TAVTO 86°35
eis ouvdégpw *13
ovvdesvac-
ovy-
INDEX VERBORVM
oroxetov 70°8, 88°15, ovvbeTn
bd b
232, 57°47
ouvievat EavTou 62° 3 5s :
ovvicracba, ouvearnKevat. ai i palgee
kal Téxvat ovveoTaCUr 981? 24 &
TiVOS . 990% 22, 80°18 ouviora-
Heva. neyé6n 990% 26, cf. 80b21 = Tov
évos avorabév Tos Pyth. opr" 15 gu-
GeO. 34°33, 41°30, 43
ovvodos 33°17 v.1.
atvoros 35%6, 19, 29
17, 37°26, 30, 32
999"32, 29%5, 35°21,
39°20, 6024, 778
auvopay 984"2 70 avadoyov 48°37
avvovola 459, 13
owTarrev 75°16, 19
ovvreivay mpds Tt 50%23, 74°18
avvTibévar 12%4, 2419, 5110
ovvTopos 41%20 curiae 988*18
ouvdovupos 987? 10, 99325, 6°18
ovvevdpou Meiget =: ovota 7 5
ovororxia 986% 23, 4 °273 54°35, 58°13
o. ovata 33°
7) 5.995) 35;
Daas
3
€k
vont? v7] (Erépa o. 72°31, 35 Hu
Tov Kadod 93°12
opaipa 33°30, P14, 34°11, 35°32
opatpa Tov dor pay A.8
oxfpa = puopds Atom. 985 "14, 42 14,
19 math. 999%9, 2%21, 70%23
émimedov, Oe Tp aR EO, Tpiyavoy abe
by evap av awy: TavToV Ge T@ pidro-
abpy Anis o. Katnyopias 10" 34,
17°23, 24°13, 26°36, 51°35, 54°29
a. THs ideas 29%4 évy pvOov oxN~
part 74? 2
oxConodia 38°15
oxiCorrouy hae
TXOAACEY 981? 23
TXOAT 999*I0, 1°23
Swxpatns 9871, 2, 78°17, 28, 863
6 =. 7830 3.6 vecorepos 3625
=. ut exemplam 981" 19; 98313,
18*2-4, 32 he eViaiicnyh 35) etc.
cGpa 992%6, 1 doy, 1628, 71°3 ama
0. 984°6, 42°8 pound 28°10
gapariny & apxn 987"4 puots 98823
aropevars 7629
ge 409, 41°12, 44°4, 45%9, 84°
ee gt 18
fe eae 17; 985 P14, 22°, agree
Dir ovn oT ev TH viola 38°33
ee mundi 751 3-15,” 25
Tapaxn 86°2
tavTérns 18°7
Taxos bir Tév 52 boy
TE... 5€ 994 »18
reXeropévo.0 xpeHoNo Emp. ors
rédevov def. 23°34, 55°11 TOTaXaS
INDEX VERBORVM
A. 16 tT. % Sexds Pyth. 986°8
Plat. 84°32 Ypa pep) Tae LO 1
TO T. &Y Tos &k FOV apxay Pyth.
Speus. va ia4, ch. 9°13 TEAElwS
aE 27 TEAEwS 62°27
Tedelwois 21” 20
Tedevtatoy. eis & pOeiperm T. 9830,
ch. 7o"21 dmoKelwevov T. Tpos TO
eldos 16%20 Te eos 185, 61924
TéAOs 21°28
TéAos 21° 23— 29: coni. ov eta 994”
9» 13°33) 59°38, cf 994°16, 74°30
coni. poppy 23°34 coni. évépyeva
51°16 sr, émiBeivaur 424
TeTparyoviCeny 996 21
TET payovov 54” 2 Pyth.
dpOpol r. 93°7, cf. 9212
Terpagés 7632
UE. 63%21
Terps go 23
Texyn 980? 28—981» 27
bud, Ths éprerpias 981 *3
meipia, ib, 25, 8 dist. émorqun
981>26, cf. 46°3 = emorTnyn
997"5 dist. vods, Sivamis, didvowa
25° 2240152228, 33°8 ryiryvec bau
pice, "rey, dio ravtoparov Z. 7-9,
cf. 25522 dist. pois 33°8, yo",
17 q 7. TO eldos, 34°24, 70°15
yeyerau adn oer 47” 23, Ch 462347
Ta ward id 70°17 7. GPXITEK-
Tovical ried)
rexvirgs dist. épmetpos 981 bay
THKTOS I #10; 50" 22, 23°28
ridevar 2°14, 63% 23, P11, 85%25 pera
Twos 984% a eis piav pvow 69°35
Tepat Emp. o
Tipwov 983" 33, “640 4, 74°21, 26, 30
Tim@rarn emoThHn, TipuwTaToY yEvos
983%5, 7520, 26%21
Tipddeos 993° 15, 1 16
tis. 76 Th 26°36, 45° 33, 699, 89>
8 70 Tl éo7t 25°31, 27° 32, 28°11,
17, 30°17, etc. TO Tt ear 27°28
Ti éore 54°15 ev TO tt eae
imdpxeww ia a7 Ch 20°18, 245
70 Th gor mheovaxas 30" £7, “cf. 25»
31 ét TOD Th eon of avAAoyiopol
34°31, 7824 70 Th Hy elvar 28>
34, 2. 4-6, 8, 453, 74° 35 coni.
ovata 983%27, 988° 34, 993718, 7*21,
22%9, ar° 18, 32>2, 14, 35 > 16, EA
aaa Sigs m7 2 coni. épicpés,
pier 994° 27, 16°33, 17°21, 30°6,
45°3, ao, b28 coni, eos 13% 27,
30% 1a, Zap a 35°16, 44°36 70 Tl
hv 29” 27v. Ta Ti Hv elvae 31”
9, 29
Tphpara KKrov 34°25, 35°34
TynTUKds 20" 29
986% 26
amoBaive.
i
opp. ép-
523
TpnTEs 20°30
To.ovTos ad ea quae sequuntur pertinens
987°” 4, 998*10, 26? 2a
roun math, 994>25, 6014 log.
38°28
tomum, tAn 42°6
tomos 67%8-31, 68526, g2%17-21
peraBoA? Kata Tomov 42°34, 69°13
TooavTax@s 134, 17%24
TpameCa 988%4
Tpepecdar Emp. o° 14
Tpl-yavov gar ia T. 70 Oddo dpOds
EXov ANE Us cf. 51°24, 86°35
TpiTnUOprov 20°27
Tpiros dvOpwmos ggot7, 39%2, 59°8,
13
ee 1828
tpiTTés 76" 30
Tpixh Siaperov 16" 27
Tpomn Democr. 985°16, 17,
Atou Tpomal 983 °15
Tpoms 13°5
Tporo. aitiwy 996”5, 13°07) 29 avy-
repadaodpevor 7. 52® 17
TUYXGVELW, 7 dedi ETUXE CY ak by
sige cf. aT, 64°36, 65%9, 12
Tiny chen Tae 29°7
Tuprds 23%4, 47°8
Tvxn 981%5, 65* 27-3 — coni. rabré-
parov 984°14, 32°29 dist. radrd-
parov 70°6 yhyveobau TEXYN, poe,
TUXT, TH adTopaty 7076, cf. 32%29,
49°4
42°14
ipedcew 981°18, 26°37
dypatvery ae aes 32°18
dylea 340 10, 28, 29, 68%22, 26, 70"17,
2 ?
falcon ge *35; 60937, 77 »36
bdaToOpeppov Emp. 0*31
dap 983°21, 31
falcon ge *35; 60937, 77 »36
bdaToOpeppov Emp. 0*31
dap 983°21, 31
Brn 983°7—984°18, H. 3, 4 syn.
dowel pevoy 983% 29, 22°18, 24°09,
42°32; G1” ee 70° D0) ch, 985° 10,
988*11, 992” 2, 42° 9 dist. imo-
welpevov 29%2, 42°27, 44°9 = se
ob yiyverau gary, cf, 42°32, 699
év bAns elder 9837, 984° iF apx7)
as v, 986°17, cf. 983” 7 46*23
opp. Adyos, 7} ovota 7% Kata TOY O10"
tyre exeia, évépryeia 986” 20, 74°34,
849, 38°6, 43°6, 45°35, 71°21,
72-9 ope lbes, Hopon 988%3,
29%4, 6, 41°8, 50% 15, 70%2 coni.
GRAV 988% 2- “l 24°35, Cf. 44°35
eyryte 999? 12 igh 15°77,
17°5) 44°18, 49°25, cf. 23°27
Tov eldovs , 232 revos as U
248, 38°6, 58% 23, cf. 232 ai-
o@nrn, vonty 25°34, 30°9, 37°34,
S83.
L24
45°34, cf. 36°35 b. T&v pabn-
parinav 59°16, cf. gg2%2 coni.
kino 20%3 Gravta Ta ~yyvo-
peva €xe Any 32°20, 42°26, 44”
24 aitia Tod cupBeBnkdtos 27%13
méTepov ovoia Z. 3, 42°27 def.
29% 20 dyvwotos Kad’ attny 36°8
doprarov 37%27, 491 coni. dv-
vous 42°27, °O, 49°23,50°15, 227
60*20, 69"14, 7012, 71*10, 75°22,
88255" 192%) Jol soP 29 TOMLKN,
yevvnth 42°6, 69°26, cf. 42%32-"1,
ZW Pn Cos6-) h évépyea dAdn
GdAns U. kat 6 Adyos 43712, cf. 69? 24
H €oxaTn VU. Kal 4 pwoppy TavTd 45°
18 ov more’ diapopdy 586, 14
9 0. Th TL TO palvecbar 7o"9 a)
evaytia , éxer 75°22
bAucés. 7d bAucdv 35%8 b. ovoia
44°15, 49°30, 77°36 — bArw@s 78%
I
pelagha 181
bmapxewv 37°16, 40°15 imapxew
KOO avr. 2% 22,625" 3 1 Paietso las
7a bnapxovra opp. Ti éoTt 26°32
imatrn 57% 22
dreivar 09°6
brevayTiov 85°15
bmempopiov 21%2
bmép Huds O° 15, cf. 77730
bmepBodn 21°15
brepéxe 84°17 imepéexov, bmepexd-
pevov 2028, 21%4, 6, 57%13, 87°18
imépOupoy 4219
bmepoxn coni. €dAAeuis 9926, 4°12,
42°25, 35, 52°30
bmeprnday els Tr 276
banpeTodoa éemotHyn 982° 17
bird. tp ob} = mp@rov mvovy 701, cf.
33°24 tnd THY avTnY Gratin,
pice émotnyny, etc. 18% 29, bbe 31,
61” 15, 63°37,93°10 TaUT0 THY
apxny 60* 30
broBddAay Tov SaxtvdAov ind THY oY
6378
bmodveabat TavTov oxHpA TO pirocdpw
4°18
brddeos, e@f b. 5°13, 55°34 iv
dvaykatov éxew tov oT.ody 20 mpos Thy & 8232 rar
kat ov pa@nyuarical b. 86710, cf, 83°6
coni. dpxai 86°15 KaTa Tas wv,
go*27
bmonatw 74%4
imoxetoOar = sumptum esse tamquam
fundamentum 98316, 331, 990%9,
67°15-24, 68"4, 5, 73°23 — bmo-
kelpevoy = UAn, poppy, TO Ek TOUTMV
28>36—29%3, cl. 385, 42%26, 49°
INDEX VERBORVM
28) = ony 983 * 30, 984%22, 22°19,
ZERO, Aas 7°" 11, 88°18, cf. 985”
10, 992°, 42°9 slapd makes
Tailor, toxaroy 16°19, 22719, 24°10,
16423, 1724 —-yevos 8. 99776, 16%
26, cf.997%20, 243 =70 ee rodTwY
(res_concreta) 996%2, 19%5, 31°16,
449, cf. 198 opp. 7400s, ouvpBe-
Byxds 1°31, 10°34, 7°35, cf. 37°16
Kad’ SToxepevov 9go3r, 1 °31, 7°35)
17°13, 16, 29°8, 66°14, 79% 28, 87*
=e id 70 “yevos
ovra neanaa 4,533, 03P am
imodapBavew 998" 22, 5°26
trodeinew 48? 16
bmdAnyus g81°7, 982°6, var 17 be
dpxaia Kat Bnpoticn g89*12
bmopévey intrans. 2°3, 698, 7o%25
Aéyor, évaytiwaes 6°26, go*2
tnémovy 38% 10-33
bromrevew 98423,
imorOévar 988%25 med. 98614,
47°10, 89%22 Kadr@s 54°33
AapBavovor 70 Ti eat UmoTWEmevat
6478
bmorumovaba 28” 31
€ ae avs
vote
boreporyevy 91°33
Vorepov, Vv. mpoTepoy
bpnurdrAcov 21°1
paivesbar 11%17-33 opp. Adyos
988*3, 872 q UAn 7éd5€ Te TO
pabicoeat Wes Io pavdpevov opp.
ov 4 19,1327, gare syn, Go-
Kooy 9*8, cf. 98920 70 gp. Twi
éome fp. 11%18 Ta >. 98631,
OPN, 74256 7a p. dmodovva 73”
36, 74°1
paoy 11°30
paicedos 10° 1%, 42207
paranpos 24% 28
pavat, dnopdvat 8%4-?1 Ovyciv kat
p. 51 24
pavepés. Ta pavepagg2*25 Ta pavepda
Tov Ociwy 26°18
gavragia 98026, 10°3 éproveiy
gavraciay 24°24, 25°6 H and
Twos p. 24°26 = béfa 62°34
pavracpa ggo14, 79°11
papayé 8>16
pacts syn. Karapacts 8*9, 62% 24 dist.
Maree 51> 25 dvr ucelpevat .
11°14, 62°6-34, 17, 63°16
pathos yvwora 29” 10
pépew Tas dnodeiEas 5° 26 . dvopa
émi te 62°16 7a pepdpeva Kara
Tov ovpaydv ggo*II
Sepexvins gig
POaptixn apxn 19°11
pOaprés. . ovoia 69*31 ovgia
INDEX VERBORVM
gp. dvev 70d POeipecOa 43°15, cf. 27%
29 7O p. Kat 70 &pOaprov I, 10
7A, POapra 99217, 0°6
pbeyyerba 88
POcipecbar 0722, 27°30, 43°15
Grayra >. eis ratr’ é¢ wy eoTw 0 25
poicrs 69” 11
pbovety 982" 32
poopa 9946, 0°27, 67°24, 69°11
Tov éx ToUTaY pdvouv Pp, EaTL 4230,
ch 7O= 15 “ata oTépnow Kat
pOopdy 44°33, ch 45°1
pirciv duporépous 73°16
giria Emp. 985%3, 24, 988° 33, 996°8,
4°33, 726, 75°2, 6
pirdpuv0o0s 98218
prrocopeiy 98213, 9832, 49, 9°37
of TpaTa pirocopjcayvTes 98211,
983°6
pirogogia 983921, 987%29, 31, 992°
32, 99320, 4°3, 74°11 dist.
copiorinn, Siarexriny 4° 21-26 pets
gp. Oewpnrixat 26°18 TmpwoTn >.
ib, 24, 30, 61°19 = Oeodoyien
Gres
prdscopos 982°18, 3°19, 4°6, 34, PI,
16, 18, 5°21, °6, 11, 60°31 = Oeo-
Adyos 61° 10
pidérns Emp. oP 11
prcypatwiys 981° 11
powrkody 57% 25
popa 69°12, 725 Kuta pop 69”
26 mpotn THY peTaBody 72°8
opal Tay mAavnTwy A. 8 amhH op.
73°29
popriK@s Oewpeiv 1° 14
ppéap 8? 15
pporpudtecbat 995” 5
ppovnats 98224, 9” 13, 32, 78°15
ppdvipos g80P ar, 22
Spvvis'993°16
pvecba 14°20
uoinds Tpétos 995*16 . = puowo-
Adyos 5°31, 34, 26°5, 37°16, 67°6,
7127, 75°27, 819g —-yeveoes
gp. 32°16 =. ovciar 42°8, 446
H prow 995°18, 5°1, 25°19, 26,
207 0,012,037 °14, 59°10, 616, 28,
mpayyarela
993°11, 42°8, 59°34, 62°31, 73°32,
76*9 gpuoik@s Aeyerv gi*18, cf.
66” 26
puororoyety mrepl mavrwv 988" 27
gpuarordyor 98614, 98930, 990%3,
992°4, 23°21, 6221
pos mocax@s A. 4, 3222-24 = ev
% Kivnows 1 mpwrn ev avtT@ % avo
bmdpxe: 14°18, 15°14, 49°8, 70°7
525
h p. apxy 13°20 gvoe opp. ov
00s, Téxvn, TO adTouaTr@, amd d.a-
votas 981° 4, 32%12, 65%27, 70%6, 17
gvats dist. dvvapus 338, 49°8 dist.
Téxvn 33°8, 70%7 opp. Bia 52%
23, 71°35, cf. 15°15, 33°33 7a
pvoe dvra 14°19, 27, 32, cf. 34%23,
70"5, 17 = HAn 14°33, cf. 983°
13, 24°%4 = dos, évTehéxera,
éfis 1575, 32°24, 44%9, 7O* LT TO
Kata tiv ptow 98612 TO TH
yeveoes Uorepoy TH p. mpdorepoy 989%
15 gic opp. mpos Huds 291
gpuow exe 15%5, 32%23 = ovola
993°2, 997°6, 1°11, 3°27, 14°36,
15°12, 19°2, 31°30, 5379, 21, 64”
II, 88°23 h pvows povn ray ev
Tots pOaprois ovata 43°23 op. vypa
983? 26 p. nunrinn 984°7 4
Tov ayabovd, TOU aopiarov, Tov KaKov
$. 994713, 996°23, 104, 757
TO ToLdv THS wpiopervns . 63°28
XpHTa ws mwa p., etc. 985"1, 98822,
9986, 3°23, 69°35, 89°7 brn,
TG0a, } TOV OvTwY, TOD Grou P. 987”
2, 5°32, 10°7, 9849, 75°11, cf.
993°2 Ta mept p. 983°33, 985%
12, 988%22, 989%24, 86%24 oi
mept dp. AGYOL g90%7 oi mept op.
= of puaoddyor 1°12, 6%3, 5024,
62 26 HP. & Te yevos TOV byToW
5°34 Emp. 15°1
gurév 72°33, 92°13 ~uT® Spotos
6°15
pas 986%25, 53°31
xarnés 14712, 34? 17
XaAkovs. XaAKy opaipa 33°30, 3411
xdos 72°8, 916 Hes, 984°28
xepeomaren 60% 25 Xapieorépws 75%
2
xetporéexyns 981*31, P4
xorAwsns 981*12
xopsal errd 93°14
xpela 980% 22
xphow opp. «idévac 98221
épyov 50°24
Xpod g1*16, 93” a1
xpévos Kara, oupBeBnkds moody 20°29
addvaroy xpévor 7 yevécOar 7) pOaphvar
Wey coni. Kivnots ib. 9 T™pa-
Tov, mpétepov xpbvw 28%32, 38227,
4911
XpOpa Siaxpericdy, ovyxpitindy 57° Q
xupot 16%22
xwraivew 25°11
xwpa Plat. 92°%1
xewpifev 9893, 162, 406, 28, 78>
31,
4
xwpis 998%18, 68" 26
Opp.
= 1000%—1093?
Anaxagoras 984°15, 28°5
Anaximander 988% 30
Anaximenes 988 * 30,996 * 8-9, 53? 15-16
Antisthenes 5° 2-5
Aristippus 78% 31-°6
Aristotle :
metaphysical doctrine ]xxvi—cxxx
method of metaphysics Ixxvi f., 3%
21, 254-18
subject of metaphysics Ixxvii-lxxix
further determination of subject
Ixxix—Ixxxii
the categories lxxxii-xc
substance the main subject of meta-
physics xci—xciii
substratum xciii f.
essence xciv—cvii
the universal cvii-cxi
essence is substance cxi-cxiv
principle of individuation cxv—cxix
analysis of becoming cxix—cxxiv
natural generation cxx
artistic production cxx f.
spontaneous production cxxi
potentiality and actuality cxxiv—cxxx
rational and irrational powers cxxv
vindication of the conception of
capacity exxvi f.
actuality and movement cxxvii f.
priority of actuality cxxviii-cxxx
Aristotle’s theology cxxx—cliv
the ‘active reason’ cxliii—cxlix
Aristotle, references to other works :
Posterior Analytics 25°34, 37°8
Physics 98333, 985°12, 98630,
988%21, 993%11, 42°8, 49°36,
59°34, 62°31, 73°32; 76%9, 86°
actuality and movement cxxvii f.
priority of actuality cxxviii-cxxx
Aristotle’s theology cxxx—cliv
the ‘active reason’ cxliii—cxlix
Aristotle, references to other works :
Posterior Analytics 25°34, 37°8
Physics 98333, 985°12, 98630,
988%21, 993%11, 42°8, 49°36,
59°34, 62°31, 73°32; 76%9, 86°
23
De Caelo 986*12 (2), 989*24, 73%
32, 86°23, 88” 24 (?)
De Gen. et Corr. 42°8, 6231, 86%
23
Nicomachean Ethics 98125
De Bono 4*2 (2), ®34 (?), 54% 30 (#)
De Contrarits 4*2(%), °34(%), 54%
30(?
De Pythagoreis 986* 12 (2)
1 This index is simply supplementary to the Zudex Verborum.
Asyndeton 75°7
Atomists 285, 84°27
Binary structure 98316, 214-26, 3°
33—?5, 17° 10-13, 2478-9, 66%31-
34, 08" 11, 75°7
Democritus 29” 21-22
Diogenes 996*8-9
Eleatics 98612, 284, 75>15
Emblemata in text 981° 12, 983%14,°32,
985° 10, 986% 23-26, 29 f., 987716,
10, 22, 99019, 993°16, 995°19,
1? 35, 4°55 16, 32, 5°8, 6728, BGs
331 9*34,°7, 16934, 17°3, 19°26, 32,
2081275, Pa, 2a e4.ao3y, 320%3,
31°30, 34°24, 30, 37°10, 31, 41°30,
43°17, 34, 44°18, 451, 10, 46°17,
47°21, 48° 20, 23, 498, 51° 1, 53°14,
31,56°15, 22, 57°24, 59%30,62°6, 27,
28, 64223, 66°25, 67°6, 682, 69%
32, 72°24, P5, 73°33, 74°16, 78% 28,
79°14, 81°35, 85°32, 86°33, 37,
87°17, Ly 88? Io, 89°7, 28, Dae,
90°18, 91°12, °8, 9214, 93°3
Empedocles 9845» 4°32, 2S URN ROP.
23, 53° 15-16, 927
Fitzgerald’s canon xxxix-xli
Heraclitus 996% 8-9, 1°15
Hesiod 983°27
Hiatus 7373—?17
Hippasus 996* 8-9, 1°15
Infinitive, with 76 irregularly omitted
146, 30°1-2, 3111, 33°32
Itacism 35%12
Mathematics, origin of 98123
Megaric school 5°35
Metaphysics, structure of xiii—xxxiii
the connected treatises xv—xxiv
the outlying books xxiv—xxix
inserted fragments xxx—xxxi
earliest editions of AZet. xxxi-xxxiii
text of cly—clxvi
E. g. under
* Plato’ will be found only references to passages in which Aristotle does not ex-
plicitly mention him.
528
Orpheus 98327, 91°5
Parmenides 4°31
Partitive genitive, subject implied in
21%21, 707-8, 22
Plato 995°16, 9989, 1223, 2°11, °13,
T7>19, 28°16, 30°26, 31°29, 33°
19, 39726—?I9, 51717-21, 58°28,
59°3, 60°6-9, 69° 34-36, 70% 21-26,
71°16, 73% 20,75"20-24,M, N passim
Plato’s views, origin of xlv—xlviii
‘earlier and later theory of Ideas’
xlviii-li
ideal numbers and ideal spatial mag-
nitudes li f.
Ta pera€y liii—lvii
derivation of ideal numbers from
their first principles lvii—lxiv
derivation of ideal spatial magnitudes
and their place in the theory lxiv—
Ixvii
GAAA phy 9961
GAN’ 7 5°13, 38°14
dé t apodost 999% 27, 5, 59°33, 71°24,
5°10 :
5é and ve confused in MSS. 320-22
eiSos 987°8
évdexdpevoy )( Svvardy 19°32
evTed€xela 47°30
érei and ért confused in MSS, 16? 112
idea 0878
112
idea 0878
xaanep at beginning of elliptical sen-
tence 318-9
Adyos 24°26
8ST, ALBERT’S COLLEGE LIBRARY
INDEX TO INTRODUCTION AND COMMENTARY
identification of Ideas with numbers
Ixvii-lxxi
Platonists 9909, 997"3, 998 etc apy
3613-17, 402-3, 43°34, 50°35,
56*10, 69°26, 7532, M, N passim
Plural verb with neuter plural subject
985*27, 79°20
Protagoras 999"3
Proverbs 9833, 18, 9935, 9°38
Pythagoreans 2"11, 4531-32, 17°19,
285, 16, 368, 75°37, 76°20-21,
91°34
Sight 980% 23
Socrates xxxiii-xlv
Speusippus Ixxi-lxxiy, 69°34-36, 75%
33, 37, °37, 8014, 83%20-"1, gi®
34, 92°12
Thales 996%8-9
Xenocrates lxxiv-Ixxvi, 28°24, 69%34—
36, 80°22, 91°35
vn setting aside irrelevant suggestion
994° 22
ofoy introducing a comparison 33°16
6rt superfluous 91° 15-17, 92°3
ovdé after «i 49°10, 53°18
orotxetoy 985% 25
Swxparns, form of cases 981°19
Te, use Of 991"23 Te and 6€ confused
in MSS. 3°22
70 Ti Hy elvat 983% 27
76de TL 1°32
bAn 983°7
wonep at beginning of elliptical sen-
tence 0° 1, 49°3-5, 87°7
Printed in England at the Oxford University Press
Jf
%
v
a
5645 185.1
Ross, Bw. D. A63
AUTHOR
Aristotle's Metaphysics
33