A Treatise On Logic, Pure And Applied

Cover A Treatise On Logic, Pure And Applied
A Treatise On Logic, Pure And Applied
S H Emmens
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" 412; Whately'a " Elements, " book ii. Chap, iv. , 6; Thomson's <% Outlines/' 73. 70 OF REASONING OR ARGUMENT. reduction is never impossible, may be seen from the very case adduced as presenting insuperable difficulties, viz. , " If A is C, B is D ; but A is ; therefore, B is D ;" where we have only to say, "The case of A being C is a case of B being D ; the present case is a case of A being C ; therefore, the present case is a case of B being D" and ihe obstacle is surmounted, the resulting syllogism being a categorical in A A A, Fig. I. , or, as the old logicians would say, in Barbara. The re- spective terms are here distinguished by being printed in italics. That these objections should have been brought against the reducing process as applied to conditional syllogisms, is apparently owing, first, to the acceptance of the principle, " Infer nothing without a ground or reason " as a necessary and primary law of thought ; and, secondly, to its being lost sight of that a term may be composed of more than one conception.

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