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FORE: CHAPTER XVISuch a view was essentially unfavourable to the progress of science, assigning, as it did, a higher dignity to meagre and very questionable abstractions than to the far-reaching combinations by which alone we are enabled to unravel the inmost texture of visible phenomena. Instead of using reason to supplement sense, Aristotle turned it into a more subtle and universal kind of sense; and if this disastrous assimilation was to a certain extent imposed upon him by the traditions of Athenian thought, it harmonised admirably with the descriptive and superficial character of his own intelligence. Much was also due to the method of geometry, which in his time had already assumed the form made familiar to us by Euclid��s Elements. The employment of axioms side by side with definitions, might, indeed, have drawn his attention to the existence and importance of judgments which, in Kantian terminology, are not analytic but synthetic��that is, which add to the content of a notion instead of simply analysing it. But although he mentions axioms, and states that mathematical theorems are deduced from them, no suspicion of their essential difference from definitions, or of the typical significance which they were destined to assume in the theory of reasoning, seems ever to have crossed his mind; otherwise he could hardly have failed to ask how we come by our knowledge of them, and to what they correspond in Nature. On the whole,385 it seems likely that he looked on them as an analysis of our ideas, differing only from definition proper by the generality of its application; for he names the law of contradiction as the most important of all axioms, and that from which the others proceed;277 next to it he places the law of excluded middle, which is also analytical; and his only other example is, that if equals be taken from equals the remainders are equal, a judgment the synthetic character of which is by no means clear, and has occasionally been disputed.278

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FORE:The military organisation of the empire had the further effect of giving a high social status to retired centurions��men probably recruited from the most barbarous provincial populations, and certainly more remarkable for their huge size than for their mental gifts.316 When one of these heroes heard a philosopher state that nothing can be made out of nothing, he would ask with a horse-laugh whether that was any reason for going without one��s dinner.317 On the other hand, when it came to be a question of supernatural agency, a man of this type would astonish the Jews themselves by his credulity. Imbued with the idea of personal authority, he readily fancied that anyone standing high in the favour of God could cure diseases from a distance by simply giving them the word of command to depart.318

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