Combining Philosophers

Ideas for Melvin Fitting, Alfred R. Mele and Shaughan Lavine

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4 ideas

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]

5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics

11026

Classical logic is deliberately extensional, in order to model mathematics [Fitting]

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

15934

Mathematical proof by contradiction needs the law of excluded middle [Lavine]

5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction

11028

λ-abstraction disambiguates the scope of modal operators [Fitting]