Two widely different schools of philosophy now arose in the western Greek colonies of lower Italy. Xenophanes, a native of Ionia, who had fled to E'lea, was the founder of one, and Pythagoras, of Samos, of the other. The former, known as the Eleat'ic philosophy, admitted a supreme intelligence, eternal and incorporeal, pervading all things, and, like the universe itself, spherical in form. This system was developed in the following century by Parmen'ides and Zeno, who exercised a great influence upon the Greek mind. Pythagoras was the first Grecian to assume the title of philosopher, although he was more of a religious teacher. Having traveled extensively in the East, he returned to Samos about 540 B.C.; but, finding the condition of his country, which was then ruled by the despot Polycrates, unfavorable to the progress of his doctrines, he moved to Croto'na, in Italy, and established his school of philosophy there. Pythagoras, Vexed with the Samian despot's lawless sway (For tyrants ne'er loved wisdom), crossed the seas, And found a home on the Hesperian shore, Time when the Tarquin arched the infant Rome With vaults, the germ of Cæsar's golden hall. There, in Crotona's state, he held a school Of wisdom and of virtue, teaching men The harmony of aptly portioned powers, And of well-numbered days: whence, as a god, Men honored him; and, from his wells refreshed, The master-builder of pure intellect, Imperial Plato, piled the palace where All great, true thoughts have found a home forever. --J. STUART BLACKIE. Pythagoras made some important discoveries in geometry, music, and astronomy. The demonstration of the forty-seventh proposition of Euclid is attributed to him. He also discovered the chords in music, which led him to conceive that the planets, striking upon the ether through which they move in their celestial orbits; produce harmonious sounds, varying according to the differences of the magnitudes, velocities, and relative distances of the planets, in a manner corresponding to the proportion of the notes in a musical scale. Hence the "music of the spheres." From what can be gathered of the astronomical doctrine of Pythagoras, it has been inferred that he was possessed of the true idea of the solar system, which was revived by Coper'nicus and fully established by Newton. With respect to God, Pythagoras appears to have taught that he is the universal, ever-existent mind, the first principle of the universe, the source and cause of all animal life and motion, in substance similar to light, in nature like truth, incapable of pain, invisible, incorruptible, and only to be comprehended by the mind. His philosophy and teachings are thus pictured by the poet THOMSON: