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Ideas for 'Parmenides', 'Understanding the Infinite' and 'Philosophy of Mathematics'

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3 ideas

5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic

18108

First-order logic is not decidable: there is no test of whether any formula is valid [Bostock]

18109

The completeness of first-order logic implies its compactness [Bostock]

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

15926

Second-order logic presupposes a set of relations already fixed by the first-order domain [Lavine]