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Ideas for 'fragments/reports', 'Introduction to Mathematical Philosophy' and 'Which Logic is the Right Logic?'

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4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
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.