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FORE:A proof of this proposition is furnished in the case of standard machine tools for metal-cutting, a class of machinery that for many years past has received the most thorough attention at the hands of our best mechanical engineers."Indeed, he has, Mr. Prout," Leona said coolly. "Will you come in? We have been having a pleasant conversation with some pleasing confessions. Have you come for me?"

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FORE:CHAPTER XL. ANOTHER COIL.

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FORE:��Glory-gosh!�� he exclaimed, staring.��I still don��t see how we can help!�� Sandy spoke again.

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FORE:It is well known that Spinoza draws a sharp line of demarcation between the two attributes of Extension and Thought, which, with him, correspond to what are usually called body and mind. Neither attribute can act on the other. Mind receives no impressions from body, nor does body receive any impulses from mind. This proposition follows by rigorous logical necessity from the Platonic principle that mind is independent of body, combined with the Stoic principle that nothing but body can act on body, generalised into the wider principle that interaction implies homogeneity of nature. According to some critics, Spinoza��s teaching on this point constitutes a fatal flaw in his philosophy. How, it is asked, can we know that there is any such thing as body (or extension) if body cannot be perceived,��for perceived it certainly cannot be without acting on our minds? The idea of infinite substance suggests a way out of the408 difficulty. ��I find in myself,�� Spinoza might say, ��the idea of extension. In fact, my mind is nothing but the idea of extension, or the idea of that idea, and so on through as many self-reflections as you please. At the same time, mind, or thought, is not itself extended. Descartes and the Platonists before him have proved thus much. Consequently I can conceive extension as existing independently of myself, and, more generally, of all thought. But how can I be sure that it actually does so exist? In this wise. An examination of thought leads me to the notion of something in which it resides��a substance whose attribute it is. But having once conceived such a substance, I cannot limit it to a single attribute, nor to two, nor to any finite number. Limitation implies a boundary, and there can be no boundary assigned to existence, for existence by its very definition includes everything that is. Accordingly, whatever can be conceived, in other words whatever can be thought without involving a contradiction,��an important reservation which I beg you to observe,��must necessarily exist. Now extension involves no contradiction, therefore it exists,��exists, that is to say, as an attribute of the infinite substance. And, by parity of reasoning, there must be an idea of extension; for this also can exist without involving a contradiction, as the simplest introspection suffices to show. You ask me why then I do not believe in gorgons and chimaeras. I answer that since, in point of fact, they do not exist, I presume that their notion involves a contradiction, although my knowledge of natural law is not sufficiently extended to show me where the contradiction lies. But perhaps science will some day be able to point out in every instance of a non-existing thing, where the contradiction lies, no less surely than it can now be pointed out in the case of impossible geometrical figures.�� In short, while other people travel straight from their sensations to an external world, Spinoza travels round to it by the idea of an infinite substance.564It has been the fashion in certain quarters to look down on these early thinkers��to depreciate the value of their speculations because they were thinkers, because, as we have already noticed, they reached their most important conclusions by thinking, the means of truly scientific observation not being within their reach. Nevertheless, they performed services to humanity comparable for value with the legislation of Solon and Cleisthenes, or the victories of Marathon and Salamis; while their creative imagination was not inferior to that of the great lyric and dramatic poets, the great architects and sculptors, whose contemporaries they were. They first taught men to distinguish between the realities of nature and the illusions of sense; they discovered or divined the indestructibility of matter and its atomic constitution; they taught that space is infinite, a conception so far from being self-evident that it transcended the capacity of Aristotle to grasp; they held that the seemingly eternal universe was brought into its present form by the operation of mechanical forces which will also effect its dissolution; confronted by the seeming permanence and solidity of our planet, with the innumerable varieties of life to be found on its surface, they declared that all things had arisen by differentiation8 from a homogeneous attenuated vapour; while one of them went so far as to surmise that man is descended from an aquatic animal. But higher still than these fragmentary glimpses and anticipations of a theory which still awaits confirmation from experience, we must place their central doctrine, that the universe is a cosmos, an ordered whole governed by number and law, not a blind conflict of semi-conscious agents, or a theatre for the arbitrary interference of partial, jealous,6 and vindictive gods; that its changes are determined, if at all, by an immanent unchanging reason; and that those celestial luminaries which had drawn to themselves in every age the unquestioning worship of all mankind were, in truth, nothing more than fiery masses of inanimate matter. Thus, even if the early Greek thinkers were not scientific, they first made science possible by substituting for a theory of the universe which is its direct negation, one that methodised observation has increasingly tended to confirm. The garland of poetic praise woven by Lucretius for his adored master should have been dedicated to them, and to them alone. His noble enthusiasm was really inspired by their lessons, not by the wearisome trifling of a moralist who knew little and cared less about those studies in which the whole soul of his Roman disciple was absorbed.

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