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Studies and Exercises in Formal Logic

Note 433 — Chapter VIII

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Hamilton (Logic, I. p. 450) considers the doctrine “that if the conclusion of a syllogism be true, the premisses may be either true or false, but that if the conclusion be false, one or both of the premisses must be false” to be extralogical, if it is not absolutely erroneous. He is clearly wrong, since the doctrine in question admits of a purely formal proof.

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