The Elements of Logic

Cover The Elements of Logic
The Elements of Logic
Abbott, Thomas Kingsmill, 1829-1913
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*. No not-M is P . *. Nothing that does not breathe in water is a fish : Every S is not-M Whales do not breathe in water: . -. No S is P. . -. Whales are not fish.
242. If the given minor is O, it cannot stand in the first figure either as major or minor. We must, therefore, treat it as I, and convert the major by contraposition. Thus: All poets are men of genius : . *. No man not a man of genius is a poet : Some rhymesters are not men of genius : . *. Some rhymesters are not poets.
All P is M
.... '. No not-M is P Some S is not M . *. Some S is not P.
The reduct is in Ferio ; and if c were used to indicate con- version by contraposition, and y to indicate the change of O to its equipolent I, the name might be Facoyro. This corresponds to the second mode of reducing Camestres.
PART in. ] OF INFERENCES. 59 243. In the third figure (MP, MS, SP), as in the second, the premisses do not determine which is the subject and which the predicate of the conclusion. If the major is universal, we have only to convert the minor, which is always affirmative.


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