ONE:253The fault of this last, crowning breach of faith was not all with the Red-men by any means. But the difficulty would be to have that believed. The world at large,��or such part of it as was deigning to take heed of this struggle against heavy odds, this contest between the prehistoric and the makers of history,��the world at large would not go into the details, if indeed it were ever to hear them. It would know just this, that a band of Indians, terrible in the very smallness of their numbers, were meeting the oncoming line of civilization from the East with that of the savagery of the West, as a prairie fire is met and checked in its advance by another fire kindled and set on to stop it. It would know that the blood of the masters of the land was being spilled upon the thirsty, unreclaimed ground by those who were, in right and justice, for the welfare of humanity, masters no more. It would know that the voice which should have been that of authority and command was often turned to helpless complaint or shrieks for mercy. And it[Pg 304] would not stop for the causes of these things; it could not be expected to. It would know that a man had come who had promised peace, confidently promised it in the event of certain other promises being fulfilled, and that he had failed of his purpose. The world would say that Crook had held in his grasp the Apaches and the future peace of an empire as large as that of Great Britain and Ireland, France and Germany in one, and that he had let it slip through nerveless fingers. It was signal failure.

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In working out his theory of logic, the point on which Bacon lays most stress is the use of negative instances. He seems to think that their application to reasoning is an original discovery of his own. But, on examination, no more seems to be meant by it than that, before accepting any particular theory, we should consider what other explanations of the same fact might conceivably be offered. In other words, we should follow the example already set by Aristotle and nearly every other Greek philosopher after Socrates. But this is not induction; it is reasoning down from a disjunctive proposition, generally assumed without any close scrutiny, with the help of sundry conditional propositions, until we reach our conclusion by a sort of exhaustive process. Either this, that, or the other is the explanation of something. But if it were either that or the other, so and so would follow, which is impossible; therefore it must be this. No other logic is possible in the infancy of enquiry; but one great advantage of experiment and mathematical analysis is to relieve us from the necessity of employing it.

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She stood looking round the post, across the white-hot parade ground, to the adobe barracks and the sutler's store. Then she turned and considered the officers' quarters. They were a row of hospital, wall, and A tents, floored with rough boards and sheltered by ramadas of willow branches.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 men��s 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 Aristotle��s 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 Aristotle��s, 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.