Xenophanes, the founder of the Eleatic school, was a native of Colophon; and flourished probably about the time of Pisistratus. Being banished from his own country, he fled to the Ionian colonies in Sicily, and at last settled in Elea, or Velia. His writings were chiefly poetical. He was universally regarded by the ancients as the originator of the doctrine of the oneness of the universe: he also maintained, it is said, the unity of the Deity; and also his immortality and eternity; denounced the transference of him into human form; and reproached Homer and Hesiod for attributing to him human weaknesses. [pg viii] He represented him as endowed with unwearied activity, and as the animating power of the universe.

Heraclitus was an Ephesian, and is said to have been a pupil of Xenophanes, though this statement is much doubted; others call him a pupil of Hippasus the Pythagorean. He wrote a treatise on Nature; declaring that the principle of all things was fire, from which he saw the world was evolved by a natural operation; he further said that this fire was the human life and soul, and therefore a rational intelligence guiding the whole universe. In this primary fire he considered that there was a perpetual longing to manifest itself in different forms: in its perfectly pure state it is in heaven; but in order to gratify this longing it descends, gradually losing the rapidity of its motion till it settles in the earth. The earth, however, is not immovable, but only the slowest of all moving bodies; while the soul of man, though dwelling in the lowest of all regions, namely, in the earth, he considered a migrated portion of fire in its pure state; which, in spite of its descent, had lost none of its original purity. The summum bonum he considered to be a contented acquiescence in the decrees of the Deity. None of his writings are extant; and he does not appear to have had many followers.

Diogenes of Apollonia, (who must not be confounded with his Stoic or Cynic namesake,) was a pupil of Anaximenes, and wrote a treatise on Nature, of which Diogenes Laertius gives the following account: “He maintained that air was the primary element of all things; that there was an infinite number of worlds and an infinite vacuum; that air condensed and rarefied produced the different members of the universe; that nothing was generated from nothing, or resolved into nothing; that the earth was round, supported in the centre, having received its shape from the whirling round it of warm vapours, and its concrete nature and hardness from cold.” He also imputed to air an intellectual energy, though he did not recognise any difference between mind and matter.

Parmenides was a native of Elea or Velia, and flourished about 460 b.c., soon after which time he came to Athens, and [pg ix] became acquainted with Socrates, who was then very young. Theophrastus and Aristotle speak doubtfully of his having been a pupil of Xenophanes. Some authors, however, reckon him as one of the Pythagorean school; Plato and Aristotle speak of him as the greatest of the Eleatics; and it is said that his fellow-countrymen bound their magistrates every year to abide by the laws which he had laid down. He, like Xenophanes, explained his philosophical tenets in a didactic poem, in which he speaks of two primary forms, one the fine uniform etherial fire of flame (φλόγος πῦρ), the other the cold body of night, out of the intermingling of which everything in the world is formed by the Deity who reigns in the midst. His cosmogony was carried into minute detail, of which we possess only a few obscure fragments; he somewhat resembled the Pythagoreans in believing in a spherical system of the world, surrounded by a circle of pure light; in the centre of which was the earth; and between the earth and the light was the circle of the Milky Way, of the morning and evening star, of the sun, the planets, and the moon. And the differences in perfection of organization, he attributed to the different proportions in which the primary principles were intermingled. The ultimate principle of the world was, in his view, necessity, in which Empedocles appears to have followed him; he seems to have been the only philosopher who recognised with distinctness and precision that the Existent, τὸ ὄν, as such, is unconnected with all separation or juxtaposition, as well as with all succession, all relation to space or time, all coming into existence, and all change. It is, however, a mistake to suppose that he recognised it as a Deity.

Democritus was born at Abdera, b.c. 460. His father Hegesistratus had been so rich as to be able to entertain Xerxes, when on his march against Greece. He spent his inheritance in travelling into distant countries, visiting the greater part of Asia, and, according to some authors, extending his travels as far as India and Æthiopia. Egypt he certainly was acquainted with. He lived to beyond the age of 100 years, and is said to have died b.c. 357.

He was a man of vast and varied learning, and a most voluminous author, though none of his works have come down to us;—in them he carried out the theory of atoms which he had derived from Leucippus; insisting on the reality of a vacuum and of motion, which he held was the eternal and necessary consequence of the original variety of atoms in this vacuum. These atoms, according to this theory, being in constant motion and impenetrable, offer resistance to one another, and so create a whirling motion which gives birth to worlds. Moreover, from this arise combinations of distinct atoms which become real things and beings. The first cause of all existence he called chance (τύχη), in opposition to the νοῦς of Anaxagoras. But Democritus went further; for he directed his investigations especially to the discovery of causes.

Besides the infinite number of atoms, he likewise supposed the existence of an infinite number of worlds, each being kept together by a sort of shell or skin. He derived the four elements from the form, quality, and proportionate magnitude of the atoms predominating in each; and in deriving individual things from atoms, he mainly considered the qualities of warm and cold; the soul he considered as derived from fire atoms; and he did not consider mind as anything peculiar, or as a power distinct from the soul or sensuous perception; but he considered knowledge derived from reason to be a sensuous perception.

In his ethical philosophy, he considered (as we may see from the de Finibus) the acquisition of peace of mind as the end and ultimate object of all our actions, and as the last and best fruit of philosophical inquiry. Temperance and moderation in prosperity and adversity were, in his eyes, the principal means of acquiring this peace of mind. And he called those men alone pious and beloved by the Gods who hate whatever is wrong.

Empedocles was a Sicilian, who flourished about the time when Thrasydæus, the son of Theron, was expelled from Agrigentum, to the tyranny of which he had succeeded; in which revolution he took an active part: it is even said that the [pg xi] sovereignty of his native city was offered to and declined by him.

He was a man of great genius and extensive learning; it is not known whose pupil he was, nor are any of his disciples mentioned except Gorgias. He was well versed in the tenets of the Eleatic and Pythagorean schools; but he did not adopt the fundamental principles of either; though he agreed with Pythagoras in his belief in the metempsychosis, in the influence of numbers, and in one or two other points; and with the Eleatics in disbelieving that anything could be generated out of nothing. Aristotle speaks of him as very much resembling in his opinions Democritus and Anaxagoras. He was the first who established the number of four elements, which had been previously pointed out one by one, partly as fundamental substances, and partly as transitive changes of things coming into existence. He first suggested the idea of two opposite directions of the moving power, an attractive and a repelling one: and he believed that originally these two coexisted in a state of repose and inactivity. He also assumed a periodical change of the formation of the world; or perhaps, like the philosophers of the pure Ionic school, a perpetual continuance of pure fundamental substances; to which the parts of the world that are tired of change return, and prepare the formation of the sphere for the next period of the world. Like the Eleatics, he strove to purify the notion of the Deity, saying that he, “being a holy infinite spirit, not encumbered with limbs, passes through the world with rapid thoughts.” At the same time he speaks of the eternal power of Necessity as an ancient decree of the Gods, though it is not quite clear what he understood by this term.