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THREE:To understand Descartes aright, we must provisionally disregard the account given in his work on Method of the process by which he arrived at a new theory of the world; for, in truth, there was nothing new about it except the pro388portion in which fragments taken from older systems were selected and recombined. As we have already noticed, there is no such thing as spinning philosophies out of one��s own head; and, in the case of Descartes, even the belief that he was so doing came to him from Plato; for, along with Aristotle��s dogmatic errors, his sound teaching with regard to the derivation of knowledge had fallen into oblivion. The initial doubt of the Discourse on Method and the Meditations is also Platonic; only it is manifested under an individual and subjective, instead of a universal and objective form. But to find the real starting-point of Descartes�� enquiries we must look for it in his mathematical studies. A geometrician naturally conceives the visible world under the aspect of figured extension; and if he thinks the figures away, nothing will remain but extension as the ultimate material out of which all determinate bodies are shaped. Such was the result reached by Plato in his Timaeus. He identified matter with space, viewing this as the receptacle for his eternal and self-existent Ideas, or rather the plastic medium on which their images are impressed. The simplest spatial elements are triangles; accordingly it is with these that he constructs his solid bodies. The theory of triangular elements was probably suggested by Atomism; it is, in fact, a compromise between the purely mathematical and the materialistic methods. Like all Plato��s fancies, this theory of matter was attacked with such convincing arguments by Aristotle that, so long as his physics remained in the ascendent, it did not find a single supporter; although, as we saw in the last chapter, Plotinus very nearly worked his way back to it from the Peripatetic definition. Even now, at the moment of Aristotle��s fall, it might have failed to attract attention, had not the conditions under which it first arose been almost exactly repeated. Geometrical demonstration had again become the type of all reasoning; there was again a sceptical spirit abroad, forcing men to fall back on the most elementary and universal con389ceptions; an atomistic materialism again threatened to claim at least the whole field of physical enquiry for its own. That Descartes followed the Timaeus in identifying matter with extension cannot be doubted; especially when we see that he adopts Plato��s analysis of body into elementary triangles; but the theory agreed so well with his intellectual predispositions that he may easily have imagined it to be a necessary deduction from his own �� priori ideas. Moreover, after the first two steps, he parts company with Plato, and gives himself up, so far as his rejection of a vacuum will permit, to the mechanical physics of Democritus. Much praise has recently been bestowed on his attempt to interpret all physical phenomena in terms of matter and motion, and to deduce them from the unaided operation of natural causes; but this is no more than had been done by the early Greek thinkers, from whom, we may observe, his hypothesis of an initial vortex was also derived. His cosmogony is better than theirs, only in so far as it is adapted to scientific discoveries in astronomy and physiology not made by Descartes himself; for where his conjectures go beyond these they are entirely at fault.101

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FORE:Three weeks later she left the post and the West. Landor's health was broken from the effects of the poisonweed and the manifold troubles of the months past. In lieu of sick leave, he was given a desirable detail, and sent on to Washington, and for a year and a half he saw his wife fitted into a woman's seemly sphere. She was heralded as a beauty, and made much[Pg 159] of as such, and the little vanities that had rarely shown before came to the surface now. He was proud of her. Sought after and admired, clothed in purple and scarlet and fine linen, within the limits of a captain's pay, a creature of ultra-civilization, tamed, she was a very charming woman indeed. There seemed to be no hint of the Apache left. He all but forgot it himself. There was but one relapse in all the time, and it chanced that he had no knowledge of that.

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THREE:Well hidden, they learned how wise Sandy had been.

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FORE:The Greek love of balanced antithesis and circumscribing form triumphed over the infinite in both fields. While the two great masters of idealism imprisoned the formless and turbulent terrestrial elements within a uniform and eternal sphere of crystal, they imposed a similar restraint on the desires and emotions, confining them within a barrier of reason which, when once erected, could never be broken through. And although the ground won in physics was lost again for a time through a revival of old theories, this was because true Hellenism found its only congenial sphere in399 ethics, and there the philosophy of the finite continued to reign supreme. If the successors of Aristotle fell back on cosmologies of ampler scope than his, they retained his limiting method in their speculations on man.

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