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Eight numbers, from May to December 1942, printed in Montevideo by a body calling itself the Grupo Independiente de Estudios Esotéricos. The name is not incidental. Papus had founded a Groupe Indépendant d'Études Ésotériques in Paris in 1888 and given it a review called L'Initiation; Nº 6 of this magazine names him as its president and founder in so many words. What you are reading is a deliberate re-founding of that institution on the other side of the Atlantic, half a century later, with the same name and the same title over the door.
The first number sets out what the review means to be: the organ of an independent society of thought, open to criticism from its readers, "not a business either, nor anyone's means of livelihood", falling into "no particularism, and still less into any personalism". That claim is worth holding onto, because the volume keeps testing itself against it. A commentary on masonic ritual praises the symbols and then says plainly that the institution has forgotten what they mean. An article on Schopenhauer complains that philosophers and occultists each miss half of him. A poem on the second page rebukes the very piety the editorial has just described.
Four long series run through the volume and none of them finishes: Jehel's commentary on the masonic degrees, which reaches the raising of Hiram; Surya's astrology course, which builds one real chart for one real birth in Montevideo across six instalments; Asuri Kapila's course in the postures, with a Sanskrit glossary that reaches its seventy-third entry; and a treatise on the planetary hours that does conclude, in Nº 8, with Saturn and Jupiter. Threaded between them is something stranger — a Uruguayan woman signing herself Maya, who went to India, sat on the floor of Sri Ramana Maharshi's hall, and wrote it down. He asked her, as she left, whether she would visit the temple at Madura. She said the chance had gone. A railway official then sent her eight hundred kilometres in the wrong direction and she arrived at Madura. The magazine gives that sequence three issues and lets the reader draw the conclusion.
The volume closes in French, with Saint-Martin's "Le Cimetière d'Amboise" — begun in Nº 6, continued in Nº 7, still unfinished at the end of Nº 8.
On the apparatus. Every page of this volume carries commentary: 392 notes across 179 pages, marked by evidence tier, saying where a claim has been checked against a text the Press holds and where it has not. Quotations have been verified where verification was possible. Dante is misquoted here — nostri for vostri, which turns a rebuke of humanity into a shared observation. The "Prayer of Saint Francis" on p. 9 of Nº 4 is not by Francis; it first appears anonymously in 1912. Three arithmetical faults in the astrology course are identified, including one that does not affect its result and is marked as such. Where a contributor is right, that is recorded too, and he often is: the Gita is quoted accurately, the elemental triangles are correctly assigned, Montevideo's coordinates are right, and the mean daily motion of the Sun is given correct to the arcsecond.
On what is withheld. Five passages in this volume are not reproduced, amounting to 1,153 characters — about two hundredths of one per cent of the text. Each is marked where it stood, with the reason. The Press does not reproduce racial theory, racial-improvement doctrine, or period race-language used in pseudo-historical claims. Nothing is removed silently and nothing else has been altered; passages that merely use the vocabulary of 1942 while arguing against racial distinction — and there are several — stand as printed.
On the medical claims. The courses in this volume promise cures: of sterility, of gallstones, of arteriosclerosis, of spinal deformity. Nº 7 prints two clinical reports describing a man whose grey hair, baldness and wrinkles are said to have reversed over eleven years. These are reproduced because they are what the magazine said, and they are endorsed by nobody. Read them as evidence of what this readership was invited to believe.
1Consideraciones místicas sobre los números “pi" y “e”.
2Por Kabir, A. M.
3Habíamos dicho en un artículo anterior que el acto de sacrificio de Dios, al pasar del estado de Potencia al de Actitud, lleva implícito en su realización el número irracional y trascendente llamado “pi”, cuyo valor aproximado es igual a 3,14, relación de la longitud de la circunferencia con el diámetro de la misma.
4Este número notable está vinculado a otro que juega un papel de igual importancia en la ciencia y que se denomina con la letra “e”.
5El número “e” tiene el siguiente origen: si consideramos la potencia (1+1/n) elevado a “n”, que simboliza el resultado de multiplicar “n” factores iguales a (1+1/n) para cada valor de “n” tendremos un valor de la potencia.
6En particular, cuando “n” tiende al infinito, es decir, cuando sea superior a cualquier número, por grande que lo imaginemos, entonces la potencia se acerca al número denominado “e”, que vale aproximadamente a 2,71.
7En esta fórmula, cuando “n” crece, la base (1+1/n) que se ha distanciado de la unidad, se repliega al punto de origen donde la potencia pierde su efecto; pero, mientras la base se acerca a la unidad con la intensidad de disminución de 1/n, el exponente “n” se opone (ley de compensación), con la misma intensidad, pero en sentido contrario, y de este proceso nace dicho número que es el símbolo de la ley de crecimiento.
8Este número, que está en la expresión de los fenómenos naturales, parece unas veces para retardar y otras para acelerar el proceso, pero siempre para restablecer el equilibrio; por ejemplo, una lámina de acero que se saca de su posición de equilibrio, vibra, y este fenómeno se traduce en una fórmula donde aparece el número “e” con exponente negativo, con lo que se expresa la propiedad que tiene la lámina de volver a su estado de reposo después de un número, teóricamente infinito, de vibraciones que se amortiguan con el tiempo.
9En otros fenómenos, por el contrario, aparece a la potencia positiva, si es necesario expresar que el mismo requiere un estímulo para realizar una oscilación progresiva.
10Por último, si el fenómeno no necesita estímulo ni freno para su realización, aparece el número “e” con exponente 0.
11En los hechos naturales, el número “e” nos dice de su forma de crecimiento; da, en ciertas ocasiones, el valor actual de los mismos cuando experimentan una variación cualquiera.
12En realidad, es la expresión matemática de un acontecimiento sencillamente maravilloso, y es que, en nuestra manera de ver los hechos naturales, lo producido, apenas nace, participa de las mismas propiedades que aquello que lo produce y místicamente, que lo creado tiene la esencia del Creador.
13Aquí se siente con una profundidad sin límites la ley de simetría y justicia.
14Equivaldría esto al principio de Hermes, cuando el Kybalión, dice: “Si bien es cierto que todo está en el Todo, no lo es menos que el Todo está en todas las cosas.
15El que comprenda esto debidamente ha adquirido gran conocimiento”.
16Estas reflexiones nos muestran por qué resulta lógico que el número “e” aparezca en la expresión matemática de los fenómenos naturales.
1716
The source text as printed, transcribed diplomatically. Where the source language uses a non-Latin script that reaches us only through a Victorian romanisation, this layer is labelled transliteration, because that is what we hold.
1Mystical considerations on the numbers “pi” and “e”.
2By Kabir, A. M.
3We had said in a previous article that the act of God's sacrifice, in passing from the state of Potency to that of Act, carries within its accomplishment the irrational and transcendental number called “pi”, whose approximate value is equal to 3.14, the ratio of the length of the circumference to its diameter.
4This notable number is bound to another which plays a part of equal importance in science and which is denoted by the letter “e”.
5The number “e” has the following origin: if we consider the power (1 + 1/n) raised to “n”, which symbolises the result of multiplying “n” factors equal to (1 + 1/n), then for each value of “n” we shall have a value of the power.
6In particular, when “n” tends to infinity — that is, when it exceeds any number, however great we imagine it — then the power approaches the number called “e”, which is worth approximately 2.71.
7In this formula, as “n” grows, the base (1 + 1/n), which had moved away from unity, folds back to the point of origin where the power loses its effect; but while the base approaches unity with an intensity of diminution of 1/n, the exponent “n” opposes it (law of compensation) with the same intensity but in the contrary sense, and from this process is born that number, which is the symbol of the law of growth.
8This number, which is present in the expression of natural phenomena, appears sometimes to retard and sometimes to accelerate the process, but always to re-establish equilibrium; for example, a steel blade drawn from its position of equilibrium vibrates, and this phenomenon is expressed in a formula where the number “e” appears with a negative exponent, expressing the property the blade has of returning to its state of rest after a theoretically infinite number of vibrations that damp with time.
9In other phenomena, on the contrary, it appears to a positive power, if it is necessary to express that the phenomenon requires a stimulus in order to accomplish a progressive oscillation.
10Lastly, if the phenomenon needs neither stimulus nor brake for its accomplishment, the number “e” appears with exponent 0.
11In natural facts the number “e” tells us of their form of growth; it gives, on certain occasions, their present value when they undergo any variation.
12In reality it is the mathematical expression of a simply marvellous circumstance: that, in our way of seeing natural facts, what is produced participates, as soon as it is born, in the same properties as that which produces it — and mystically, that the created has the essence of the Creator.
13Here the law of symmetry and justice is felt with a depth without limits.
14This would be equivalent to the principle of Hermes, when the Kybalion says: “While it is true that All is in the All, it is no less true that the All is in all things.
15He who understands this rightly has acquired great knowledge”.
16These reflections show us why it is logical that the number “e” should appear in the mathematical expression of natural phenomena.
1716
Our translation, period-faithful. Citable as our translation, never as the source.
Ramana is compared to Saint-Martin and Jacob Boehme as the West's nearest equivalents. Both are now held in full — Saint-Martin's two major works, and ten works of Boehme — so the comparison can be tested rather than accepted. It is also a revealing choice: Jehel reaches for the mystics of direct interior knowledge, not for the ceremonial tradition his own Order descends from.
→ thread:aurora_boehme_sparrow
The institutional architecture, stated plainly and only here: GIDEE for elementary theory, the Martinist Order of South America for higher theory and practice, and the Kabbalistic Order of the Rose-Cross as synthesis. Three bodies, one progression. This is the clearest single statement in the run of how the organisation understood its own shape.
Aurobindo's total surrender to the Mother is read as “EXACTLY what Papus taught, just as he received it from his Master AMO”. The equation is asserted, not argued. It is characteristic of this review's comparative method: resemblance at the level of the demand made on the disciple is taken as identity of doctrine.
The biographical detail on Aurobindo is accurate: educated in England from seven to twenty-one, King's College Cambridge, a year in prison in 1908–09 at Alipore, then withdrawal to French India — Pondicherry — and the abandonment of politics. The date given as 1923 for his entry into public life is wrong by some fifteen years; his nationalist activity belongs to 1905–1910.
The Hiramic legend, given in full with the ritual actions that accompany its telling — the rule to the throat, the square to the chest, the mallet to the forehead, the candidate laid in the coffin. Printing the working of a degree ceremony in a public monthly is a considerable disclosure, and Jehel does it deliberately while withholding the words themselves.
A complete history of Uruguayan official time from 1908 to 1941, with exact offsets — needed because a chart cannot be cast without true local time. Montevideo ran true local time from 1908, moved to four hours west in 1920, adopted seasonal adjustment in 1923, and from 2 August 1941 stood 44 minutes 51 seconds ahead of true local. Useful well beyond astrology.
Kabir states e^(2πi) = 1 and, correctly, that e^(iπ) = −1. The mathematics is sound throughout — the derivation of e as the limit of (1 + 1/n)^n, the damped oscillation of a steel blade as a negative exponent, the reading of the exponential as a law of growth. Where he moves from mathematics to metaphysics the reasoning is his own, but he does not misstate the mathematics to get there.
The colour of the Sun hour, named: ORANGE, “a vital tonic for the body and a purifying tonic for the emotional soul”, directed at another person. Sacred Synthesis places orange at Step 3 as “a dynamic balance between aggressive red and passive yellow” — a mediating term between the vital and the affective in both. The closest correspondence between the two systems, and it is stated in almost the same words.
→ hour-sol
The colour of the Mars hour: PURE RUBY RED, to fortify vital tone, mental activity and force of will. Sacred Synthesis Step 5 is the “Intense Ruby Red Square”, named for crystallised permanence. The colour term matches exactly — not red, but ruby red — across a hundred years and two unrelated frames. Recorded as a correspondence, not as evidence of transmission.
→ hour-marte
The colour of the Venus hour: ROSE, sent as “a message of peace, of affection, of encouragement and of gentleness”. This completes the three colours the treatise names — orange for the Sun, rose for Venus, ruby red for Mars — and all three are projected outward at a named person rather than contemplated. That direction of travel is the sharpest divergence from the twelve-colour sequence, where the colour arises unbidden and is not chosen.
→ hour-venus
The asana course again moves from technique into therapeutic claim — that constipation can be cured radically without laxatives, and most illnesses of the liver, kidneys, pancreas, stomach and intestine improved and then cured. Published as the source has it, with the standing caveat; the Press does not adopt the claims.
→ chromotherapy-conditions
Jehel bases the mundane readings of the hours on “the opinion of the Martinist astrologer Julevno”, reserving his own observation for the rest. IDENTIFIED: a real Spanish-language astrological author, catalogued for one work, Nuevo Tratado de Astrología Práctica (Humanitas). NOT HELD: no pre-1942 edition is digitised or catalogued in the sources reachable here — archive.org returns nothing under the name, Open Library records only a 2003 edition without full text, and Gallica and HathiTrust refuse programmatic access. The chain for the planetary hours runs Julevno → Jehel → this corpus, the first link named but not readable.
Papus is given three masters, each with a function: Amo (Philippe) spiritual, Saint-Yves d'Alveydre intellectual, and Peter Davidson practical. Davidson is the co-founder of the Hermetic Brotherhood of Luxor — which places the H.B. of L. current directly inside the transmission this review claims. It also explains why Burgoyne's Light of Egypt, the H.B. of L.'s own text, is named in twelve issues.
→ thread:light_of_egypt_v1
A second exact citation to the Papus volume now held — Traité méthodique, Volume I, p. 263 and following. Checked: Papus does set out the seed placed in a matrix, the conditions of germination and the emergence of the plant, in that region of the volume, with an internal cross-reference to p. 273. The citation is sound. The crystal of sodium chloride is not in Papus — that example is Kabir's own extension of the argument into the mineral kingdom.
→ thread:papus_traite_methodique
French verse closing the page, attributed at 8:016 to "el Maestro ELIPHA LEVI" — Eliphas Lévi, not Saint-Martin. It is easy to mistake for the Cimetière d'Amboise serialisation that begins one issue later; the two are different poems by different authors, and the magazine prints both untranslated.
Eliphas Lévi (Alphonse-Louis Constant, 1810–1875) is named as the author. The estate holds Waite's translation of his Transcendental Magic; the verse quoted here is not from that work, and its source has not been identified.
Here the magazine names the Kybalion outright, and quotes it correctly: "While it is true that All is in the All, it is no less true that the All is in All." This completes a thread running the length of Volume I. The Kybalion's first principle appears as an unattributed epigraph in Nº 1 p. 15, again unattributed as the "Purely Philosophical Plane" in Nº 3 p. 7, correctly named here by Kabir in Nº 5 — and then, in Nº 7 p. 20, a different contributor credits that same doctrine to the Emerald Tablet. The correct attribution was available in the magazine's own pages two issues earlier. The error was not ignorance of the source; it was one writer reaching past it for an older authority.
Kabir, A∴M∴ is the magazine's mathematician. He writes here on π and e, co-signs the Wronski article on algorithmic theory in Nº 8 p. 15, and his citations of Papus elsewhere in the run have been checked word for word against the acquired volumes and found exact. Where he is the author, the sourcing is reliable.
The definition of e is correct: the limit of (1 + 1/n) raised to the n as n grows without bound. The observation that follows — that as n grows the base folds back toward unity while the exponent runs away, and the two motions settle on a finite number — is a genuinely good intuitive gloss, not decoration.
The reading of the sign of the exponent — e to a negative power where a process is retarded, positive where it needs a stimulus, zero where it needs neither — is sound as a description of how exponentials appear in growth and decay laws. The metaphysics laid over it, that this expresses "the law of symmetry and justice", is the author's own and is offered as analogy.
The Middle Chamber is set for the third degree: nine lights, black hangings, skulls and crossed bones, silver tears, and a coffin at the centre. Nº 1 p. 8 had described the candidate glimpsing this scene through a lifted blindfold in the first degree; here the reader is inside it. The instalments are building one room across four issues.
The examination procedure is neatly observed: the Wardens pass along the ranks and each Brother turns to face them, so that those not yet examined have their backs to those who have. The article notes that this makes deception impossible — a piece of practical stagecraft rather than symbolism, and the writer is alert to the difference.
The trap is well told: the Candidate is asked how he comes to the Temple and answers "by the password", which no Companion could lawfully know — and the indignation is resolved when it emerges that he expects his Conductor to give it for him. The ceremony stages an accusation and then dissolves it, which is the whole shape of the Hiram degree.
The three marches are given in sequence — Apprentice, Companion, Master — and the article makes the point that together they compose a single general march. That cumulative reading is consistent with Nº 3 p. 6, where the Apprentice's three sliding steps were said never to leave the central line.
Rule 16 is arithmetically sound and worth spelling out: daily motion is divided by 96 because there are 96 quarter-hours in twenty-four hours. The course then multiplies by the number of quarter-hours since Greenwich noon. It is a clean way to interpolate an ephemeris without logarithms, and Rule 18 immediately offers the logarithmic method as the more exact alternative.
The longitude correction is correct: four minutes of time for each degree of longitude, added when west and subtracted when east. Montevideo being west of Greenwich, the addition is what a Uruguayan reader needs, and the course is consistently written for where its students actually are.
The table of mean daily motions checks out. The Sun is given 0º 59′ 08″ per day, which is the standard mean value, and 0º 2′ 27″ per hour — 59′ 08″ divided by 24 is 2′ 28″, so the hourly figure is right to the arcsecond. Mercury at 1º 49′ and Venus at 1º 15′ are serviceable averages for a course that has just offered a more exact method.
Intercepted signs are correctly explained — a sign wholly contained within a house because another sign occupies two successive cusps — and the instruction to place them in the middle of the house is the standard remedy. It is exactly the situation a chart cast for 35º South produces often, which is why the course stops for it.
The coordinates given for Montevideo — 56º west, 35º south — are accurate (the city lies at about 56º 11′ W, 34º 54′ S). The worked example that runs from here through Nº 8 is a real chart for a real place, and the course's southern-hemisphere rule from Nº 4 p. 8 is about to be exercised on it.
Salabhasana is correctly named the locust posture and correctly described — prone, arms extended, head and legs raised on a retained breath, held five to ten seconds, repeated six or seven times. The two variants with the hands beneath the abdomen are the standard preparatory forms.
The three phases of the breath are defined accurately: puraka inhalation, kumbhaka retention, rechaka exhalation, together constituting pranayama. The course has been using these terms since Nº 2's glossary and now stops to define them properly — a good instinct, since it has just made the reader hold a breath in a posture.
Pranayama is here assigned to Hatha Yoga, which the magazine's own glossary in Nº 2 called "an inferior form of Yoga". The course keeps teaching what its glossary disparages, and never reconciles the two — a small sign that the glossary was compiled from a different source than the instalments.
The issue prints the Order's own diagram of its descent, and it is the single most compact statement of the lineage in the run. Maharshi at the head as spiritual power of the East; Aurobindo to one side as Karma-Yogin acting East to West; Papus to the other as disinterested action acting West to East; Amo below as spiritual power of the West. Joining them, la corriente — the current. Four of these are four of the five Masters that Nº 10 p. 17 names as most often seen or felt by members of the Order, eighteen months later. The diagram is now in the reader's imagery layer.