Combining Philosophers

Ideas for Hesiod, Rudolph Carnap and Melvin Fitting

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4 ideas

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 / B. Logical Consequence / 1. Logical Consequence

13342

Carnap defined consequence by contradiction, but this is unintuitive and changes with substitution [Tarski on Carnap]

5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention

13251

Each person is free to build their own logic, just by specifying a syntax [Carnap]

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

11028

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