Combining Philosophers

Ideas for Melvin Fitting, Stephen Wolfram and Leslie H. Tharp

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4 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

10766

Logic is either for demonstration, or for characterizing structures [Tharp]

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

10767

Elementary logic is complete, but cannot capture mathematics [Tharp]

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

10769

Second-order logic isn't provable, but will express set-theory and classic problems [Tharp]

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

11026

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