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14453 | The Darapti syllogism is fallacious: All M is S, all M is P, so some S is P' - but if there is no M? [Russell] |
Full Idea: Some moods of the syllogism are fallacious, e.g. 'Darapti': 'All M is S, all M is P, therefore some S is P', which fails if there is no M. | |
From: Bertrand Russell (Introduction to Mathematical Philosophy [1919], XV) | |
A reaction: This critique rests on the fact that the existential quantifier entails some existence, but the universal quantifier does not. |