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Hippolytus - Book I
Chapter II.--Pythagoras; His Cosmogony; Rules of His Sect; Discoverer of Physiognomy; His Philosophy of Numbers; His System of the Transmigration of Souls; Zaratas on Demons; Why Pythagoras Forbade the Eating of Beans; The Mode of Living Adopted by His Disciples.
But there was also, not far from these times, another philosophy which Pythagoras originated (who some say was a native of Samos), which they have denominated Italian, because that Pythagoras, flying from Polycrates the king of Samos, took up his residence in a city of Italy, and there passed the entire of his remaining years. And they who received in succession his doctrine, did not much differ from the same opinion. And this person, instituting an investigation concerning natural phenomena, [45] combined together astronomy, and geometry, and music. [46] And so he proclaimed that the Deity is a monad; and carefully acquainting himself with the nature of number, he affirmed that the world sings, and that its system corresponds with harmony, and he first resolved the motion of the seven stars into rhythm and melody. And being astonished at the management of the entire fabric, he required that at first his disciples should keep silence, as if persons coming into the world initiated in (the secrets of) the universe; next, when it seemed that they were sufficiently conversant with his mode of teaching his doctrine, and could forcibly philosophize concerning the stars and nature, then, considering them pure, he enjoins them to speak. This man distributed his pupils in two orders, and called the one esoteric, but the other exoteric. And to the former he confided more advanced doctrines, and to the latter a more moderate amount of instruction.
And he also touched on magic--as they say--and himself [47] discovered an art of physiogony, [48] laying down as a basis certain numbers and measures, saying that they comprised the principle of arithmetical philosophy by composition after this manner. The first number became an originating principle, which is one, indefinable, incomprehensible, having in itself all numbers that, according to plurality, can go on ad infinitum. But the primary monad became a principle of numbers, according to substance, [49] --which is a male monad, begetting after the manner of a parent all the rest of the numbers. Secondly, the duad is a female number, and the same also is by arithmeticians termed even. Thirdly, the triad is a male number. This also has been classified by arithmeticians under the denomination uneven. And in addition to all these is the tetrad, a female number; and the same also is called even, because it is female. Therefore all the numbers that have been derived from the genus are four; but number is the indefinite genus, from which was constituted, according to them, the perfect [50] number, viz., the decade. For one, two, three, four, become ten, if its proper denomination be preserved essentially for each of the numbers. Pythagoras affirmed this to be a sacred quaternion, source of everlasting nature, [51] having, as it were, roots in itself; and that from this number all the numbers receive their originating principle. For eleven, and twelve, and the rest, partake of the origin of existence [52] from ten. Of this decade, the perfect number, there are termed four divisions,--namely, number, monad, [53] square, (and) cube. And the connections and blendings of these are performed, according to nature, for the generation of growth completing the productive number. For when the square itself is multiplied [54] into itself, a biquadratic is the result. But when the square is multiplied into the cube, the result is the product of a square and cube; and when the cube is multiplied into the cube, the product of two cubes is the result. So that all the numbers from which the production of existing (numbers) arises, are seven,--namely, number, monad, square, cube, biquadratic, quadratic-cube, cubo-cube.
This philosopher likewise said that the soul is immortal, and that it subsists in successive bodies. Wherefore he asserted that before the Trojan era he was Æthalides, [55] and during the Trojan epoch Euphorbus, and subsequent to this Hermotimus of Samos, and after him Pyrrhus of Delos; fifth, Pythagoras. And Diodorus the Eretrian, [56] and Aristoxenus [57] the musician, assert that Pythagoras came to Zaratas [58] the Chaldean, and that he explained to him that there are two original causes of things, father and mother, and that father is light, but mother darkness; and that of the light the parts are hot, dry, not heavy, light, swift; but of darkness, cold, moist, weighty, slow; and that out of all these, from female and male, the world consists. But the world, he says, is a musical harmony; [59] wherefore, also, that the sun performs a circuit in accordance with harmony. And as regards the things that are produced from earth and the cosmical system, they maintain that Zaratas [60] makes the following statements: that there are two demons, the one celestial and the other terrestrial; and that the terrestrial sends up a production from earth, and that this is water; and that the celestial is a fire, partaking of the nature of air, hot and cold. [61] And he therefore affirms that none of these destroys or sullies the soul, for these constitute the substance of all things. And he is reported to have ordered his followers not to eat beans, because that Zaratas said that, at the origin and concretion of all things, when the earth was still undergoing its process of solidification, [62] and that of putrefaction had set in, the bean was produced. [63] And of this he mentions the following indication, that if any one, after having chewed a bean without the husk, places it opposite the sun for a certain period,--for this immediately will aid in the result,--it yields the smell of human seed. And he mentions also another clearer instance to be this: if, when the bean is blossoming, we take the bean and its flower, and deposit them in a jar, smear this over, and bury it in the ground, and after a few days uncover it, we shall see it wearing the appearance, first of a woman's pudendum, and after this, when closely examined, of the head of a child growing in along with it. This person, being burned along with his disciples in Croton, a town of Italy, perished. And this was a habit with him, whenever one repaired to him with a view of becoming his follower, (the candidate disciple was compelled) to sell his possessions, and lodge the money sealed with Pythagoras, and he continued in silence to undergo instruction, sometimes for three, but sometimes for five years. And again, on being released, he was permitted to associate with the rest, and remained as a disciple, and took his meals along with them; if otherwise, however, he received back his property, and was rejected. These persons, then, were styled Esoteric Pythagoreans, whereas the rest, Pythagoristæ.
Among his followers, however, who escaped the conflagration were Lysis and Archippus, and the servant of Pythagoras, Zamolxis, [64] who also is said to have taught the Celtic Druids to cultivate the philosophy of Pythagoras. And they assert that Pythagoras learned from the Egyptians his system of numbers and measures; and being struck by the plausible, fanciful, and not easily revealed wisdom of the priests, he himself likewise, in imitation of them, enjoined silence, and made his disciples lead a solitary life in underground chapels. [65]