(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.

(7) After returning from his wanderings, Pythagoras established a school, or as it has been sometimes called, a university, at Crotona, a Dorian colony in Southern Italy. Upon his arrival at Crotona he was regarded askance, but after a short time those holding important positions in the surrounding colonies sought his counsel in matters of great moment. He gathered around him a small group of sincere disciples whom he instructed in the secret wisdom which had been revealed to him, and also in the fundamentals of occult mathematics, music, and astronomy, which he considered to be the triangular foundation of all the arts and sciences.

(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.

(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.

(6) "From these turned aside, the stone-mason; Talker about laws; the enchanter of the Greeks," says Timon in his Satirical Poems, on account of his quitting physics for ethics. Antisthenes, after being a pupil of Socrates, introduced the Cynic philosophy; and Plato withdrew to the Academy. Aristotle, after studying philosophy under Plato, withdrew to the Lyceum, and founded the Peripatetic sect. He was succeeded by Theophrastus, who was succeeded by Strato, and he by Lycon, then Critolaus, and then Diodorus. Speusippus was the successor of Plato; his successor was Xenocrates; and the successor of the latter, Polemo. And the disciples of Polemo were Crates and Crantor, in whom the old Academy founded by Plato ceased. Arcesilaus was the associate of Crantor; from whom, down to Hegesilaus, the Middle Academy flourished. Then Carneades succeeded Hegesilaus, and others came in succession. The disciple of Crates was Zeno of Citium, the founder of the Stoic sect. He was succeeded by Cleanthes; and the latter by Chrysippus, and others after him. Xenophanes of Colophon was the founder of the Eleatic school, who, Timaeus says, lived in the time of Hiero, lord of Sicily, and Epicharmus the poet; and Apollodorus says that he was born in the fortieth Olympiad, and reached to the times of Darius and Cyrus.

(7) Parmenides, accordingly, was the disciple of Xenophanes, and Zeno of him; then came Leu cippus, and then Democritus. Disciples of Democritus were Protagoras of Abdera, and Metrodorus of Chios, whose pupil was Diogenes of Smyrna; and his again Anaxarchus, and his Pyrrho, and his Nausiphanes. Some say that Epicurus was a scholar of his.

(19) The Megarians are occasionally included among the dialectic philosophers. Euclid (who died 374? B.C.) was succeeded in his school by Eubulides, among whose disciples were Alexinus and Apollonius Cronus. Euphantus, who lived to great age and wrote many tragedies, was among the foremost followers of Eubulides. Diodorus is usually included in the Megarian school, having heard Eubulides lecture. According to legend, Diodorus died of grief because he could not answer instantly certain questions asked him by Stilpo, at one time master of the Megarian school. Diodorus held that nothing