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THREE:Such were the �� priori elements which a historical synthesis had prepared to satisfy the want of a metaphysical Absolute. Let us now see what result would follow when the newly-recovered idea of space was subjected to a metaphysical analysis. Extension is both one and infinite. No particular area can be conceived apart from the whole which both contains and explains it. Again, extension is absolutely homogeneous; to whatever distance we may travel in imagination there will still be the same repetition of similar parts. But space, with the Cartesians, meant more than a simple juxtaposition of parts; having been made the essence of matter, it was invested with mechanical as well as with geometrical properties. The bodies into which it resolved itself were conceived as moving, and as communicating their movement to one another through an unbroken chain of causation in which each constituted a single link, determining and determined by the rest; so that, here also, each part was explained by reference to an infinite whole, reproducing its essence, while exempt from the condition of circumscribed existence. We can understand, then, that when the necessity of accounting for extension itself once became felt, the natural solution would be to conceive it as holding the same relation to some greater whole which its own subdivisions held to their sum total; in other words it should be at once a part, an emanation, and an image of the ultimate reality. This is, in fact, very nearly the relation which Matter holds to the One in the Neo-Platonic system. And we know that with Plotinus Matter is almost the same as infinite Extension.