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Ideas for 'works', 'Introduction to the Philosophy of Mathematics' and 'works'

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4 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

17924

Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan]

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

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De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

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Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

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Axioms are 'categorical' if all of their models are isomorphic [Colyvan]