Chapter XIX.--Pythagoras' Duality of Substances; His "Categories."
There are, then, according to Pythagoras, two worlds: one intelligible, which has the monad for an originating principle; and the other sensible. But of this (latter) is the quaternion having the iota, the one tittle, [656] a perfect number. And there likewise is, according to the Pythagoreans, the i, the one tittle, which is chief and most dominant, and enables us to apprehend the substance of those intelligible entities which are capable of being understood through the medium of intellect and of sense. (And in this substance inhere) the nine incorporeal accidents which cannot exist without substance, viz., "quality," and "quantity," and "relation," and "where," and "when," and "position," and "possession," and "action," and "passion." These, then, are the nine accidents (inhering in) substance, and when reckoned with these (substances), contains the perfect number, the i. Wherefore, the universe being divided, as we said, into the intelligible and sensible world, we have also reason from the intelligible (world), in order that by reason we may behold the substance of things that are cognised by intellect, and are incorporeal and divine. But we have, he says, five senses--smelling, seeing, hearing, taste, and touch. Now, by these we arrive at a knowledge of things that are discerned by sense; and so, he says, the sensible is divided from the intelligible world. And that we have for each of these an instrument for attaining knowledge, we perceive from the following consideration. Nothing, he says, of intelligibles can be known to us from sense. For he says neither eye has seen, nor ear heard, nor any whatsoever of the other senses known that (which is cognised by mind). Neither, again, by reason is it possible to arrive at a knowledge of any of the things discernible by sense. But one must see that a thing is white, and taste that it is sweet, and know by hearing that it is musical or out of tune. And whether any odour is fragrant or disagreeable, is the function of smell, not of reason. It is the same with objects of touch; for anything rough, or soft, or warm, or cold, it is not possible to know by hearing, but (far from it), for touch is the judge of such (sensations). Things being thus constituted, the arrangement of things that have been made and are being made is observed to happen in conformity with numerical (combinations). For in the same manner as, commencing from monad, by an addition of monads or triads, and a collection of the succeeding numbers, we make some one very large complex whole of number; (and) then, again, from an amassed number thus formed by addition, we accomplish, by means of a certain subtraction and re-calculation, a solution of the totality of the aggregate numbers; so likewise he asserts that the world, bound by a certain arithmetical and musical chain, was, by its tension and relaxation, and by addition and subtraction, always and for ever preserved incorrupt.
[656] Matt. v. 18.
Chapter XX.--Pythagoras' Cosmogony; Similar to that of Empedocles.
The Pythagoreans therefore declare their opinion concerning the continuance of the world in some such manner as this:--
"For heretofore it was and will be; never, I ween,
Of both of these will void the age eternal be."
"Of these;" but what are they? Discord and Love. Now, in their system, Love forms the world incorruptible (and) eternal, as they suppose. For substance and the world are one. Discord, however, separates and puts asunder, and evinces numerous attempts by subdividing to form the world. It is just as if one severs into small parts, and divides arithmetically, the myriad into thousands, and hundreds, and tens; and drachmæ into oboli and small farthings. In this manner, he says, Discord severs the substance of the world into animals, plants, metals and things similar to these. And the fabricator of the generation of all things produced is, according to them, Discord; whereas Love, on the other hand, manages and provides for the universe in such a manner that it enjoys permanence. And conducting together [657] into unity the divided and scattered parts of the universe, and leading them forth from their (separate) mode of existence, (Love) unites and adds to the universe, in order that it may enjoy permanence; and it thus constitutes one system. They will not therefore cease,--neither Discord dividing the world, nor Love attaching to the world the divided parts. Of some such description as this, so it appears, is the distribution of the world according to Pythagoras. But Pythagoras says that the stars are fragments from the sun, and that the souls [658] of animals are conveyed from the stars; and that these are mortal when they are in the body, just as if buried, as it were, in a tomb: whereas that they rise (out of this world) and become immortal, when we are separated from our bodies. Whence Plato, being asked by some one, "What is philosophy?" replied, "It is a separation of soul from body."
[657] Or, sunagei, leads together.
[658] The Abbe Cruice considers that the writer of The Refutation did not agree with Pythagoras' opinion regarding the soul,--a fact that negatives the authorship of Origen, who assented to the Pythagorean psychology. The question concerning the pre-existence of the soul is stated in a passage often quoted, viz., St. Jerome's Letter to Marcellina (Ep. 82).