The Logic of Science : a Translation of the Posterior Analytics of Aristotle : With Notes And An Introduction
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This is the only manner in which we can conclude a false affirmative, for only the first figure concludes an afiirmative universal. A false negative may be drawn either in the first" or ' This passage and another in the where KartiyopeXaBai and virapx^iv following chapter {iyxiapii yip ri are used generically of affirmative A irXtiomv virapx^iv S, oiie ianv and negative propositions. wTraWijXo) are the only places K 66 ERROR IN PRINCIPLE. in the second figure. Let us examine under how many cond...i- tions a false conclusion, no B is A, may be drawn in the first figure. Both the premisses, no C is A all B is C, may he false : for the assumption, that all C is A, and no B is C, does not contravene the hypothesis, that all B is A. Or one or the other indiscriminately may be false : The major, no C is A, may be true ; and then the minor, all B is C, must be false : for, firstly, the propositions, all B is A all B is C, would give the conclusion, some C is A, which contradicts the major we have just assumed to be true ; and, secondly, the premisses, no C is A all B is C, give the conclusion, no B is A, which contradicts the hypothesis.
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