The Golden Verses of Pythagoras — with commentary (1917)

In many of my preceding Examinations I have already explained what should be understood by this celebrated Tetrad, and here would perhaps be the time to reveal its constitutive principles; but this revelation would lead me too far. It would be necessary in order to do this, to enter into details of the arithmological doctrine of Pjrthagoras which, lacking preliminary data, would become fatiguing and unintelligible.

The language of Numbers of which this philosopher made use, following the example of the ancient sages, seems today entirely lost. The fragments which have come down to us serve rather to prove its existence than to give any light upon its elements; for those who have composed these fragments wrote in a language that they supposed understood, in the same manner as our modern writers when they employ algebraic terms.

It would be ridiculous if one wished before having acquired any notion concerning the value and use of the algebraic signs, to explain a problem contained in these signs. This is, however, what has often been done relative to the language of Numbers. One has pretended, not only to explain it before having learned it, but even to write of it, and has by so doing rendered it the most lamentable thing in the world.

The savants seeing it thus travestied have justly scorned it; as their contempt was not unreasonable they have made it reflect, by the same language upon the ancients who have employed it. They have acted in this as in many other things; they themselves creating the stupidity of ancient sciences and saying afterwards : antiquity was stupid.

One day I shall try, if I find the time and the necessary facilities, to give the true elements of the arithmological science of Pythagoras and I will show that this science was for intelligible things what algebra has become among us for physical things; but I shall only do so after having reExaminations of the Golden Verses 229 vealed what the true principles of music are; for otherwise I should run the risk of not being understood.

Without perplexing ourselves, therefore, with the constitutive principles of the Pythagorean Quaternary, let us content ourselves with knowing that it was the general emblem of anything moving by itself and manifesting by its facultative modifications; for according to Pythagoras, i and 2 represent the hidden principles of things; 3, their faculties, and 4, their proper essence.

These four numbers which, united by addition produce the ntimber 10, constituted the Being, as much universal as particular; so that the Quaternary, which is as its virtue, could become the emblem of all beings, since there is none which may not recognize the principles, and which does not manifest itself by faculties more or less perfect, and which may not enjoy an existence universal or relative; but the being to which Pythagoras applied it most commonly was Man.

Man, as I have said, manifests himself as does the Universe, under the three principal modifications of body, soul, and spirit. The unknown principles of this first Ternary are what Plato calls the same, and the other, the indivisible and the divisible. The indivisible principle gives the spirit; the divisible the body; and the soul has birth from this last principle elaborated by the first.

Such was the doctrine of Pythagoras which was borrowed by Plato. It had been that of the Egyptians, as can be seen in the works which remain to us imder the name of Hermes.

Synesius, who had been initiated into their mysteries, said particularly, that human souls emanated from two sources: the one luminous, which flows from heaven on high; the other tenebrous, which springs from the earth in the abysmal depths of which it finds its origin.* The early Christians, faithful to theo-. sophical tradition, followed the same teaching; they established a great difference between the spirit and the soul. They considered the soul as an issue of the material prino Plato, ut suprd,. * Synes., De Provident., c. 5.