(11) After Pythagoras of Samos, its founder, the Italic or Pythagorean school numbers among its most distinguished representatives Empedocles, Epicharmus, Archytas, Alcmæon, Hippasus, Philolaus, and Eudoxus. Pythagoras (580-500? B.C.) conceived mathematics to be the most sacred and exact of all the sciences, and demanded of all who came to him for study a familiarity with arithmetic, music, astronomy, and geometry. He laid special emphasis upon the philosophic life as a prerequisite to wisdom. Pythagoras was one of the first teachers to establish a community wherein all the members were of mutual assistance to one another in the common attainment of the higher sciences. He also introduced the discipline of retrospection as essential to the development of the spiritual mind. Pythagoreanism may be summarized as a system of metaphysical speculation concerning the relationships between numbers and the causal agencies of existence. This school also first expounded the theory of celestial harmonics or "the music of the spheres." John Reuchlin said of Pythagoras that he taught nothing to his disciples before the discipline of silence, silence being the first rudiment of contemplation. In his Sophist, Aristotle credits Empedocles with the discovery of rhetoric. Both Pythagoras and Empedocles accepted the theory of transmigration, the latter saying: "A boy I was, then did a maid become; a plant, bird, fish, and in the vast sea swum." Archytas is credited with invention of the screw and the crane. Pleasure he declared to be a pestilence because it was opposed to the temperance of the mind; he considered a man without deceit to be as rare as a fish without bones.

(2) And that the most of them were barbarians by extraction, and were trained among barbarians, what need is there to say? Pythagoras is shown to have been either a Tuscan or a Tyrian. And Antisthenes was a Phrygian. And Orpheus was an Odrysian or a Thracian. The most, too, show Homer to have been an Egyptian. Thales was a Phoenician by birth, and was said to have consorted with the prophets of the Egyptians; as also Pythagoras did with the same persons, by whom he was circumcised, that he might enter the adytum and learn from the Egyptians the mystic philosophy. He held converse with the chief of the Chaldeans and the Magi; and he gave a hint of the church, now so called, in the common hall which he maintained.

(14) Pythagoras evinced such a marked preference for stringed instruments that he even went so far as to warn his disciples against allowing their ears to be defiled by the sounds of flutes or cymbals. He further declared that the soul could be purified from its irrational influences by solemn songs sung to the accompaniment of the lyre. In his investigation of the therapeutic value of harmonics, Pythagoras discovered that the seven modes--or keys--of the Greek system of music had the power to incite or allay the various emotions. It is related that while observing the stars one night he encountered a young man befuddled with strong drink and mad with jealousy who was piling faggots about his mistress' door with the intention of burning the house. The frenzy of the youth was accentuated by a flutist a short distance away who was playing a tune in the stirring Phrygian mode. Pythagoras induced the musician to change his air to the slow, and rhythmic Spondaic mode, whereupon the intoxicated youth immediately became composed and, gathering up his bundles of wood, returned quietly to his own home.

(4) And the expression, "Come under a pledge, and mischief is at hand," Cleomenes says, in his book Concerning Hesiod, was uttered before by Homer in the lines: "Wretched pledges, for the wretched, to be pledged." The Aristotelians judge it to be Chilon's; but Didymus says the advice was that of Thales. Then, next in order, the saying, "All men are bad," or, "The most of men are bad" (for the same apophthegm is expressed in two ways), Sotades the Byzantian says that it was Bias's. And the aphorism, "Practice conquers everything," they will have it to be Periander's; and likewise the advice, "Know the opportunity," to have been a saying of Pittacus. Solon made laws for the Athenians, Pittacus for the Mitylenians. And at a late date, Pythagoras, the pupil of Pherecydes, first called himself a philosopher. Accordingly, after the fore-mentioned three men, there were three schools of philosophy, named after the places where they lived: the Italic from Pythagoras, the Ionic from Thales, the Eleatic from Xenophanes. Pythagoras was a Samian, the son of Mnesarchus, as Hippobotus says: cording to Aristoxenus, in his life of Pythagoras and Aristarchus and Theopompus, he was a Tuscan; and according to Neanthes, a Syrian or a Tyrian. So that Pythagoras was, according to the most, of barbarian extraction. Thaies, too, as Leander and Herodotus relate, was a Phoenician; as some suppose, a Milesian. He alone seems to have met the prophets of the Egyptians. But no one is described as his teacher, nor is any one mentioned as the teacher of Pherecydes of Syros, who had Pythagoras as his pupil. But the Italic philosophy, that of Pythagoras, grew old in Metapontum in Italy.