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Studies and Exercises in Formal Logic

Note 395 — Chapter VI

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A further form of argument may be distinguished in which the alternation contained in the so-called minor premiss is affirmed only hypothetically, and in which, therefore, the conclusion also is hypothetical. For example,

If A is B, E is F ; and if C is D, E is F ;

If X is Y, either A is B or C is D ;

therefore, If X is Y, E is F.

This might be called the hypothetical dilemma. It admits of varieties corresponding to the varieties of the ordinary dilemma; but no detailed treatment of it seems called for.

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