NUMBER THE MASTER

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aspects of the unordered, neutral, passive, or disorganised element or principle; the first, to adopt a later method of expression, is Form, the second Matter. How this antithesis was worked out by Plato and Aristotle we shall see later on.

In

While, in a sense, then, even the indefinite has 54 number, inasmuch as it is capable of having number or order imposed upon it (and only in so far as it has this imposed upon it, does it become knowable or intelligible), yet, as a positive factor, Number belongs only to the first class; as such it is the source of all knowledge and of all good. reality the Pythagoreans had not got any further by this representation of nature than was reached, for example, by Anaximander, and still more definitely by Heraclitus, when they posited an Indefinite or Infinite principle in nature which by the clash of innate antagonisms developed into a knowable universe (see above, pp. 12, 16). But one can easily imagine that once the idea of Number became associated with that of the knowable in things, a wide field of detailed development and experiment, so to speak, in the arcana of nature, seemed to be opened. Every arithmetical or geometrical theorem became in this view another window giving light into the secret heart of things. Number became a kind of god, a revealer; and the philosophy of number a kind of religion or mystery. And this is why the

second grade of disciples were called Mathematicians; mathematics was the essential preparation for and initiation into philosophy.

Whether that which truly exists was actually identical with Number or Numbers, or whether it was something different from Number, but had a certain relation to Number; whether if there were such a relation, this was merely a relation of analogy or of conformability, or whether Number were something actually embodied in that which truly existsthese were speculative questions which were variously answered by various teachers, and which probably interested the later more than the earlier leaders of the school.

56 A further question arose: Assuming that ulti

mately the elements of knowable existence are but two, the One or Definite, and the Manifold or Indefinite, it was argued by some that there must be some third or higher principle governing the relations of these; there must be some law or harmony which shall render their intelligible union 57 possible. This principle of union was God, ever

living, ever One, eternal, immovable, self-identical. 58 This was the supreme reality, the Odd-Even or Many in One, One in Many, in whom was gathered up, as in an eternal harmony, all the contrarieties of lower 61 existence. Through the interchange and intergrowth of these contrarieties God realises Himself; the

GOD THE SOUL OF THE WORLD

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universe in its evolution is the self-picturing of God. God is diffused as the seminal principle throughout 62 the universe; He is the Soul of the world, and the 68 world itself is God in process. The world, therefore, is in a sense a living creature. At its heart and circumference are purest fire; between these circle the sun, the moon, and the five planets, whose ordered movements, as of seven chords, produce an eternal music, the Music of the Spheres.' Earth, too, like the planets, is a celestial body, moving like them around the central fire.

By analogy with this conception of the universe 71 as the realisation of God, so also the body, whether of man or of any creature, is the realisation for the 72 time being of a soul. Without the body and the life of the body, that soul were a blind and fleeting ghost. Of such unrealised souls there are many in various degrees and states; the whole air indeed is full of spirits, who are the causes of dreams and

omens.

Thus the change and flux that are visible in all 73 else are visible also in the relations of soul and body. Multitudes of fleeting ghosts or spirits are continually seeking realisation through union with bodies, passing at birth into this one and that, and at death issuing forth again into the void. Like wax which takes now one impression now another, yet remains in itself ever the same, so souls vary in the outward

74 form that envelops and realises them. In this bodily life, the Pythagoreans are elsewhere described as saying, we are as it were in bonds or in a prison, whence we may not justly go forth till the Lord calls us. This idea Cicero mistranslated with a truly Roman fitness: according to him they taught that in this life we are as sentinels at our post, who may not quit it till our Commander orders.

On the one hand, therefore, the union of soul with body was necessary for the realisation of the former (opa, body, being as it were onμa, expression), even as the reality of God was not in the Odd or Eternal Unity, but in the Odd-Even, the Unity in Multiplicity. On the other hand this union implied a certain loss or degradation. In other words, in so far as the soul became realised it also became corporealised, subject to the influence of passion and 75 change. In a sense therefore the soul as realised was double; in itself it partook of the eternal reason, as associated with body it belonged to the realm of unreason.

This disruption of the soul into two the Pythagoreans naturally developed in time into a threefold division, pure thought, perception, and desire; or even more nearly approaching the Platonic division (see below, p. 169), they divided it into reason, passion, and desire. But the later developments were largely influenced by Platonic and other doctrines, and need not be further followed here.

MUSIC AND MORALS

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Music had great attractions for Pythagoras, not 78 only for its soothing and refining effects, but for the intellectual interest of its numerical relations. Reference has already been made (see above, p. 27) to their quaint doctrine of the music of the spheres; and the same idea of rhythmic harmony pervaded the whole system. The life of the soul was a harmony; the vir tues were perfect numbers; and the influence of music on the soul was only one instance among many of the harmonious relations of things throughout the universe. Thus we have Pythagoras described as soothing mental afflictions, and bodily ones also, by rhythmic measure and by song. With the morning's dawn he would be astir, harmonising his own spirit. to his lyre, and chanting ancient hymns of the Cretan Thales, of Homer, and of Hesiod, till all the tremors of his soul were calmed and still.

Night and morning also he prescribed for himself and his followers an examination, as it were a tuning and testing of oneself. At these times especially

was it meet for us to take account of our soul and its doings; in the evening to ask, "Wherein have I transgressed? What done? What failed to do?" In the morning, "What must I do? Wherein repair past days' forgetfulness ?"

But the first duty of all was truth,—truth to one's own highest, truth to the highest beyond us. Through truth alone could the soul approach the divine.