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16854 | Contrary pairs entail contradictions; one member entails negation of the other [Lipton] |
Full Idea: All pairs of contraries entail a pair of contradictories, since one member of such a pair always entails the negation of the other. P&Q and not-P are contraries, but the first entails P, which is contradictory of not-P. | |
From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 09 'Is the best') |