TWO:Nothing can be more unreasonable than to expect an apprentice engineer to begin by an inductive course in learning and reasoning [3] about mechanics. Even if the mind were capable of such a course, which can not be assumed in so intricate and extensive a subject as mechanics, there would be a want of interest and an absence of apparent purpose which would hinder or prevent progress. Any rational view of the matter, together with as many facts as can be cited, will all point to the conclusion that apprentices must learn deductively, and that some practice should accompany or precede theoretical studies. How dull and objectless it seems to a young man when he toils through "the sum of the squares of the base and perpendicular of a right-angle triangle," without knowing a purpose to which this problem is to be applied; he generally wonders why such puzzling theorems were ever invented, and what they can have to do with the practical affairs of life. But if the same learner were to happen upon a builder squaring a foundation by means of the rule "six, eight, and ten," and should in this operation detect the application of that tiresome problem of "the sum of the squares," he would at once awake to a new interest in the matter; what was before tedious and without object, would now appear useful and interesting. The subject would become fascinating, and the learner would go on with a new zeal to trace out the connection between practice and other problems of the kind. Nothing inspires a learner so much as contact with practice; the natural tendency, as before said, is to proceed deductively.
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THREE:We may consider it a fortunate circumstance that the philosophy of Form,that is to say, of description, definition, classification, and sensuous perception, as distinguished from mathematical analysis and deductive reasoning,was associated with a demonstrably false cosmology, as it thus became much more thoroughly discredited than would otherwise have been possible. At this juncture, the first to perceive and point out how profoundly an acceptance of the Copernican theory must affect mens beliefs about Nature and the whole universe, was Giordano Bruno; and this alone would entitle him to a great place in the history of philosophy. The383 conception of a single finite world surrounded by a series of eternal and unchangeable crystal spheres must, he said, be exchanged for the conception of infinite worlds dispersed through illimitable space. Once grant that the earth has a double movement round its own axis and round the sun, and Aristotles whole system of finite existence collapses at once, leaving the ground clear for an entirely different order of ideas.545 But, in this respect, whatever was established by the new science had already been divined by a still older philosophy than Aristotles, as Bruno himself gladly acknowledged,546 and the immediate effect of his reasoning was to revive the Atomic theory. The assumption of infinite space, formerly considered an insuperable objection to that theory, now became one of its chief recommendations; the arguments of Lucretius regained their full force, while his fallacies were let drop; Atomism seemed not only possible but necessary; and the materialism once associated with it was equally revived. But Aristotelianism, as we have seen, was not alone in the field, and on the first symptoms of a successful revolt, its old rival stood in readiness to seize the vacant throne. The question was how far its claim would be supported, and how far disputed by the new invaders. It might be supposed that the older forms of Greek philosophy, thus restored to light after an eclipse of more than a thousand years, would be no less hostile to the poetic Platonism than to the scientific Aristotelianism of the Renaissance. Such, however, was not the case; and we have to show how an alliance was established between these apparently opposite lines of thought, eventually giving birth to the highest speculation of the following century.
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TWO:I spent three hours in the small room with my silent companions. At last I was called, and appeared once more before the casual court-martial.
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THREE:"Go on, mon brave," he said. "I will do what I can for you--and myself."
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TWO:Balmayne slunk by the side of his companion. He longed to cry aloud that here was a man who had escaped from gaol, to have him bound hand and foot, and to feel that he was out of the way for the present. He wanted to go to the nearest policeman and tell him all this.