The Organon Or Logical Treatises Of Aristotle With The Introduction Of Porphyry

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1901 edition. Excerpt: ...the consequent from the affirmation or negation of the antecedent; as, if man is, animal is; and if man is not, animal is. 10 That is, two subject terms, as A and B. He now enunciates that an argument from the negative of the consequent to the negative of the ante-cedcnt is valid. Btihle and Waitz read this passage differently to Taylor, by the insertion of the letter merely. II 1 hat is, the antecedent. " The consequent. existing, it is necessary that A should not be, (Ilhld) thus B not being great, it is impossible that A Buhie. i.e th should be white. " ' But if when A is not white, it is necessary that B should be great, it will necessarily happen that B not being great, B itself is great, which is impossible. For if B is not great, A will not be necessarily white, and if A not being white, B should be great, it results, as through three (terms), that if B is not great, it is great.f 'Xr""' Chap. V.--Of Demonstration in a Circle, in tht first Figure.1 The demonstration of things in a circle, and from i_,1.., . i, i. 1. Definition of each other, is by the conclusion, and by taking this kind of de-one proposition converse in predication, to con-elude the other, which we had taken in a former syllogism. As if it were required to show that A is with every C, we should have proved it through B;2 again,3 if a person should show that A is with B, assuming A present with C, but C with B, and A with B; first, on the contrary, he assumed B present with C. Or if it is necessary to demonstrate that B is with C,4 if he should have taken A (as predicated) of C, which was the conclusion,5 but B to be present with A, for it was first assumed6 conversely, that A was with B. It is not however possible in any other manner to demonstrate...

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