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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.

      The Eleatic sect was founded by Xenophanes (570-480 B.C.), who was conspicuous for his attacks upon the cosmologic and theogonic fables of Homer and Hesiod. Xenophanes declared that God was "one and incorporeal, in substance and figure round, in no way resembling man; that He is all sight and all hearing, but breathes not; that He is all things, the mind and wisdom, not generate but eternal, impassible, immutable, and rational." Xenophanes believed that all existing things were eternal, that the world was without beginning or end, and that everything which was generated was subject to corruption.

      He lived to great age and is said to have buried his sons with his own hands. Parmenides studied under Xenophanes, but never entirely subscribed to his doctrines. Parmenides declared the senses to be uncertain and reason the only criterion of truth. He first asserted the earth to be round and also divided its surface into zones of heat and cold.

      Melissus, who is included in the Eleatic school, held many opinions in common with Parmenides. He declared the universe to be immovable because, occupying all space, there was no place to which it could be moved. He further rejected the theory of a vacuum in space. Zeno of Elea also maintained that a vacuum could not exist. Rejecting the theory of motion, he asserted that there was but one God, who was an eternal, ungenerated Being. Like Xenophanes, he conceived Deity to be spherical in shape.

      Leucippus held the Universe to consist of two parts: one full and the other a vacuum. From the Infinite a host of minute fragmentary bodies descended into the vacuum, where, through continual agitation, they organized themselves into spheres of substance.

      The great Democritus to a certain degree enlarged upon the atomic theory of Leucippus. Democritus declared the principles of all things to be twofold: atoms and vacuum. Both, he asserted, are infinite -- atoms in number, vacuum in magnitude. Thus all bodies must be composed of atoms or vacuum. Atoms possessed two properties, form and size, both characterized by infinite variety. The soul Democritus also conceived to be atomic in structure and subject to dissolution with the body. The mind he believed to be composed of spiritual atoms. Aristotle intimates that Democritus obtained his atomic theory from the Pythagorean doctrine of the Monad. Among the Eleatics are also included Protagoras and Anaxarchus.

      Socrates (469-399 B.C.), the founder of the Socratic sect, being fundamentally a Skeptic, did not force his opinions upon others, but through the medium of questionings caused each man to give expression to his own philosophy. According to Plutarch, Socrates conceived every place as appropriate for reaching in that the whole world was a school of virtue. He held that the soul existed before the body and, prior to immersion therein, was endowed with all knowledge; that when the soul entered into the material form it became stupefied, but that by discourses upon sensible objects it was caused to reawaken and to recover its original knowledge. On these premises was based his attempt to stimulate the soul-power through irony and inductive reasoning. It has been said of Socrates that the sole subject of his philosophy was man. He himself declared philosophy to be the way of true happiness and its purpose twofold: (1) to contemplate God, and (2) to abstract the soul from corporeal sense.

      The principles of all things he conceived to be three in number: God, matter, and ideas. Of God he said:

      "What He is I know not; what He is not I know." Matter he defined as the subject of generation and corruption; idea, as an incorruptible substance -- the intellect of God. Wisdom he considered the sum of the virtues. Among the prominent members of the Socratic sect were Xenophon, Aeschines, Crito, Simon, Glauco, Simmias, and Cebes. Professor Zeller, the great authority on ancient philosophies, has recently declared the writings of Xenophon relating to Socrates to be forgeries. When The Clouds of Aristophanes, a comedy written to ridicule the theories of Socrates, was first presented, the great Skeptic himself attended the play. During the performance, which caricatured him seated in a basket high in the air studying the sun, Socrates rose calmly in his seat, the better to enable the Athenian spectators to compare his own unprepossessing features with the grotesque mask worn by the actor impersonating him.

      The Elean sect was founded by Phaedo of Elis, a youth of noble family, who was bought from slavery at the instigation of Socrates and who became his devoted disciple. Plato so highly admired Phaedo's mentality that he named one of the most famous of his discourses The Phaedo. Phaedo was succeeded in his school by Plisthenes, who in turn was followed by Menedemus. Of the doctrines of the Elean sect little is known. Menedemus is presumed to have been inclined toward the teachings of Stilpo and the Megarian sect. When Menedemus' opinions were demanded, he answered that he was free, thus intimating that most men were enslaved to their opinions. Menedemus was apparently of a somewhat belligerent temperament and often returned from his lectures in a badly bruised condition. The most famous of his propositions is stated thus: That which is not the same is different from that with which it is not the same. This point being admitted, Menedemus continued: To benefit is not the same as good, therefore good does not benefit. After the time of Menedemus the Elean sect became known as the Eretrian. Its exponents denounced all negative propositions and all complex and abstruse theories, declaring that only affirmative and simple doctrines could be true.

      The Megarian sect was founded by Euclid of Megara (not the celebrated mathematician), a great admirer of Socrates. The Athenians passed a law decreeing death to any citizen of Megara found in the city of Athens. Nothing daunted, Euclid donned woman's clothing and went at night to study with Socrates. After the cruel death of their teacher, the disciples of Socrates, fearing a similar fate, fled to Megara, where they were entertained with great honor by Euclid. The Megarian school accepted the Socratic doctrine that virtue is wisdom, adding to it the Eleatic concept that goodness is absolute unity and all change an illusion of the senses. Euclid maintained that good has no opposite and therefore evil does not exist. Being asked about the nature of the gods, he declared himself ignorant of their disposition save that they hated curious persons.

      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 can be moved, since to be moved it must be taken out of the place in which it is and put into the place where it is not, which is impossible because all things must always be in the places where they are.

      PLATO.

      From Thomasin's Recuil des Figures, Groupes, Thermes, Fontaines, Vases et autres Ornaments.

      Plato's real name was Aristocles. When his father brought him to study with Socrates, the great Skeptic declared that on the previous night he had dreamed of a white swan, which was an omen that his new disciple was to become one of the world's illumined.

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