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FORE:Any truth in mechanics, even the action of the "mechanical powers" before alluded to, is received with an air of mystery, unless the nature of power is first understood. Practical demonstration a hundred times repeated does not create a conviction of truth in mechanical propositions, unless the principles of operation are understood.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.

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FORE:What seems to us the reactionary attitude of the spiritu357alist school was dictated by the circumstances of its origin. A product of the great classical revival, its cause was necessarily linked with the civilisation of ancient Greece, and of that civilisation the worship of the old gods seemed to form an integral element. One need only think of the Italian Renaissance, with its predilection for the old mythology, to understand how much stronger and more passionate this feeling must have been among those to whom Greek literature still spoke in a living language, whose eyes, wherever they turned, still rested on the monuments, unrivalled, undesecrated, unfallen, unfaded, of Greek religious art. Nor was polytheism what some have imagined it to have been at this period, merely a tradition, an association, a dream, drawing shadowy sustenance from the human works and human thoughts which it had once inspired. To Plotinus and Proclus, as formerly to Socrates and Plato and Aristotle, the luminaries of day and night blazed down from heaven as animated and immortal witnesses of its truth. It was not simply that the heavens declared the glory of God; to the pious beholder, they were visibly inhabited by glorious gods, and their constellated fires were, as Plotinus said, a scripture in which the secrets of destiny might be read. The same philosopher scornfully asks the Gnostics, who, in this respect, were indistinguishable from the Christians, whether they were so infatuated as to call the worst men their brothers, while refusing that title to the sun; and at a much later period, notwithstanding the heavy penalties attached to it, the worship of the heavenly bodies continued to be practised by the profoundest thinkers and scholars of the Neo-Platonic school.529 Moreover, polytheism, by the very weakness and unfixity of its dogmas, gave a much wider scope to independent speculation than could be permitted within the limits of the358 Catholic Church, just because Catholicism itself constituted a philosophical system in which all the great problems of existence were provided with definite and authoritative solutions.This, again, reaches the proposition that power is heat, and heat is power, the two being convertible, and, according to modern science, indestructible; so that power, when used, must give off its mechanical equivalent of heat, or heat, when utilised, develop its equivalent in power. If the whole amount of heat represented in the fuel used by a steam-engine could be applied, the effect would be, as before stated, from ten to fifteen times as great as it is in actual practice, from which it must be inferred that a steam-engine is a very imperfect machine for utilising heat. This great loss arises from various causes, among which is that the heat cannot be directly nor fully communicated to the water. To store up and retain the water after it is expanded into steam, a strong vessel, called a boiler, is required, and all the heat that is imparted to the water has to pass through the plates of this boiler, which stand as a wall between the heat and its work.

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