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THREE:Returning to our more immediate subject, we must observe that the Pythagoreans did not maintain, in anticipation of modern quantitative science, that all things are determined by number, but that all things are numbers, or are made out of numbers, two propositions not easily distinguished by unpractised thinkers. Numbers, in a word, were to them precisely what water had been to Thales, what air was to Anaximenes, the absolute principle of existence; only with them the idea of a limit, the leading inspiration of Greek thought, had reached a higher degree of abstraction. Number was, as it were, the exterior limit of the finite, and the interior limit of the infinite. Add to this that mathematical studies, cultivated in Egypt and Phoenicia for their practical utility alone, were being pursued in Hellas with ever-increasing ardour for the sake of their own delightfulness, for the intellectual discipline that they supplied��a discipline even12 more valuable then than now, and for the insight which they bestowed, or were believed to bestow, into the secret constitution of Nature; and that the more complicated arithmetical operations were habitually conducted with the aid of geometrical diagrams, thus suggesting the possibility of applying a similar treatment to every order of relations. Consider the lively emotions excited among an intelligent people at a time when multiplication and division, squaring and cubing, the rule of three, the construction and equivalence of figures, with all their manifold applications to industry, commerce, fine art, and tactics, were just as strange and wonderful as electrical phenomena are to us; consider also the magical influence still commonly attributed to particular numbers, and the intense eagerness to obtain exact numerical statements, even when they are of no practical value, exhibited by all who are thrown back on primitive ways of living, as, for example, in Alpine travelling, or on board an Atlantic steamer, and we shall cease to wonder that a mere form of thought, a lifeless abstraction, should once have been regarded as the solution of every problem, the cause of all existence; or that these speculations were more than once revived in after ages, and perished only with Greek philosophy itself.

Ad has dicat ridens consetetur, eos eu option persius. Mollis cotidieque conclusionemque per id, ne nam alienum liberavisse.

THREE:In returning to one of the older cosmologies, the Stoics placed themselves in opposition to the system of Aristotle as a whole, although on questions of detail they frequently adopted his conclusions. The object of Heracleitus, as against the Pythagoreans, had been to dissolve away every antithesis in a pervading unity of contradictories; and, as against the Eleatics, to substitute an eternal series of transformations for the changeless unity of absolute existence. The Stoics now applied the same method on a scale proportionate to the subsequent development of thought. Aristotle had carefully distinguished God from the world, even to the extent of isolating him from all share in its creation and interest in its affairs. The Stoics declared that God and the world were one. So far, it is allowable to call them pantheists. Yet their pantheism was very different from what we are accustomed to denote by that name; from the system of Spinoza, for example. Their strong faith in final causes and in Providence��a faith in which they closely followed Socrates��would be hardly consistent with anything but the ascription of a distinct and individual consciousness to the Supreme Being, which is just what modern pantheists refuse to admit. Their God was sometimes described as the soul of the world, the fiery element surrounding and penetrating every other kind of matter. What remained was the body of God; but it was a body which he had originally created out of his own substance, and would, in the fulness of time, absorb into that substance again.25 Thus they kept the future conflagration foretold by Heracleitus, but gave it a more religious colouring. The process of creation was then to begin over again, and all things were to run the same12 course as before down to the minutest particulars, human history repeating itself, and the same persons returning to live the same lives once more.26 Such a belief evidently involved the most rigid fatalism: and here again their doctrine offers a pointed contrast to that of Aristotle. The Stagirite, differing, as it would seem, in this respect from all the older physicists, maintained that there was an element of chance and spontaneity in the sublunary sphere; and without going very deeply into the mechanism of motives or the theory of moral responsibility, he had claimed a similar indeterminateness for the human will. Stoicism would hear of neither; with it, as with modern science, the chain of causation is unbroken from first to last, and extends to all phenomena alike. The old theological notion of an omnipotent divine will, or of a destiny superior even to that will, was at once confirmed and continued by the new theory of natural law; just as the predestination of the Reformers reappeared in the metaphysical rationalism of Spinoza.27

In mea similique vulputate, ea cum amet malorum dissentiunt. Qui deleniti aliquando cu, ullum soluta his an, id inani salutatus sit.

THREE:The Epicurean cosmology need not delay us long. It is completely independent of the atomic theory, which had only been introduced to explain the indestructibility of matter, and, later on, the mechanism of sensation. In describing how the world was first formed, Epicurus falls back on the old Ionian meteorology. He assumes the existence of matter in different states of diffusion, and segregates fluid from solid, light from heavy, hot from cold, by the familiar device of a rapid vortical movement.168 For the rest, as we have already noticed, Epicurus gives an impartial welcome to the most conflicting theories of his predecessors, provided only that they dispense with the aid of supernatural intervention; as will87 be seen by the following summary, which we quote from Zeller:��

Ad has dicat ridens consetetur, eos eu option persius. Mollis cotidieque conclusionemque per id, ne nam alienum liberavisse.