3: PLATO AND THE DOCTRINE OF NUMBER

[51] His devotion to the austere and abstract philosophy of Parmenides, its passivity or indifference, could not repress the opulent genius of Plato, or transform him into a cynic. Another ancient philosopher, Pythagoras, set the frozen waves in motion again, brought back to Plato's recognition all that multiplicity in men's experience to which Heraclitus had borne such emphatic witness; but as rhythm or melody now--in movement truly, but moving as disciplined sound and with the reasonable soul of music in it.

Pythagoras, or the founder of the Pythagorean philosophy, is the third of those earlier masters, who explain the intellectual confirmation of Plato by way of antecedent. What he said, or was believed to have said, is almost everywhere in the very texture of Platonic philosophy, as vera vox, an authority with prescript claim on sympathetic or at least reverent consideration, to be developed generously in the natural growth of Plato's own thoughts.

[52] Nothing remains of his writings: dark statements only, as occasion served, in later authors. Plato himself attributes those doctrines of his not to Pythagoras but to the Pythagoreans. But if no such name had come down to us we might have understood how, in the search for the philosophic unity of experience, a common measure of things, for a cosmical hypothesis, number and the truths of number would come to fill the place occupied by some omnipresent physical element, air, fire, water, in the philosophies of Ionia; by the abstract and exclusive idea of the unity of Being itself in the system of Parmenides. To realise unity in variety, to discover cosmos--an order that shall satisfy one's reasonable soul--below and within apparent chaos: is from first to last the continuous purpose of what we call philosophy. Well! Pythagoras seems to have found that unity of principle (archê)+ in the dominion of number everywhere, the proportion, the harmony, the music, into which number as such expands. Truths of number: the essential laws of measure in time and space:--Yes, these are indeed everywhere in our experience: must, as Kant can explain to us, be an element in anything we are able so much as to conceive at all. And music, covering all it does, for Pythagoras, for Plato and Platonism--music, which though it is of course much besides, is certainly a formal development of purely numerical laws: that too surely is something, [53] independently of ourselves, in the real world without us, like a personal intelligible soul durably resident there for those who bring intelligence of it, of music, with them; to be known on the favourite Platonic principle of like by like (homoion homoiô)+ though the incapable or uninstructed ear, in various degrees of dulness, may fail to apprehend it.

The Golden Verses of Pythagoras parted early into dust (that seems strange, if they were ever really written in a book) and antiquity itself knows little directly about his doctrine. Yet Pythagoras is much more than a mere name, a term, for locating as well as may be a philosophical abstraction. Pythagoras, his person, his memory, attracted from the first a kind of fairy-tale of mystic science. The philosophy of number, of music and proportion, came, and has remained, in a cloud of legendary glory; the gradual accumulation of which Porphyry and Iamblichus, the fantastic masters of Neo-Platonism, or Neo-Pythagoreanism, have embodied in their so-called Lives of him, like some antique fable richly embossed with starry wonders. In this spirit there had been much writing about him: that he was a son of Apollo, nay, Apollo himself--the twilight, attempered, Hyperborean Apollo, like the sun in Lapland: that his person gleamed at times with a supernatural brightness: that he had exposed to those who loved him a golden thigh: how Abaris, the minister of that god, [54] had come flying to him on a golden arrow: of his almost impossible journeys: how he was seen, had lectured indeed, in different places at the same time. As he walked on the banks of the Nessus the river had whispered his name: he had been, in the secondary sense, various persons in the course of ages; a courtesan once, for some ancient sin in him; and then a hero, Euphorbus, son of Panthus; could remember very distinctly so recent a matter as the Trojan war, and had recognised in a moment his own old armour, hanging on the wall, above one of his old dead bodies, in the temple of Athene at Argos; showing out all along only by hints and flashes the abysses of divine knowledge within him, sometimes by miracle. For if the philosopher really is all that Pythagoras or the Pythagoreans suppose; if the material world is so perfect a musical instrument, and he knows its theory so well, he might surely give practical and sensible proof of that on occasion, by himself improvising music upon it in direct miracle. And so there, in Porphyry and Iamblichus, the appropriate miracles are.

If the mistaken affection of the disciples of dreamy Neo-Platonic Gnôsis at Alexandria, in the third or fourth century of our era, has thus made it impossible to separate later legend from original evidence as to what he was, and said, and how he said it, yet that there was a brilliant, perhaps a showy, personality there, infusing the [55] most abstract truths with what would tell on the fancy, seems more than probable, and, though he would appear really to have had from the first much of mystery or mysticism about him, the thaumaturge of Samos, "whom even the vulgar might follow as a conjuror," must have been very unlike the lonely "weeping" philosopher of Ephesus, or the almost disembodied philosopher of Elea. In the very person and doings of this earliest master of the doctrine of harmony, people saw that philosophy is

     Not harsh and crabbed, as dull fools suppose,
     But musical as is Apollo's lute.

And in turn he abounded in influence on the deeds, the persons, of others, as if he had really carried a magic lute in his hands to charm them.

As his fellow-citizens had all but identified Pythagoras with him, so Apollo remained the peculiar patron of the Pythagoreans; and we may note, in connexion with their influence on Plato, that as Apollo was the chosen ancestral deity, so Pythagoreanism became especially the philosophy, of the severely musical Dorian Greeks. If, as Plato was aware, or fancied, true Spartans knew more of philosophy than they let strangers suppose--turned them all out from time to time and feasted on it in secret, for the strengthening of their souls--it was [56] precisely the Pythagorean philosophy of music, of austere music, mastering, remoulding, men's very bodies, they would then have discussed with one another.

A native of Ionia, it is in one of the Dorian cities of Magna Graecia, at Crotona, that Pythagoras finds the fitting scene of his mysterious influence. He founds there something like an ideal republic, or rather a religious brotherhood, under a rule outwardly expressive of that inward idea of order or harmony, so dear to the Dorian soul, and, for it, as for him, ever the peculiar pledge of the presence of philosophic truth. Alêtheian de ametria hêgei syngenê einai, ê emmetria;+ asks one in The Republic; and Emmetria?+ of course, is the answer.

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