Combining Philosophers

Ideas for Melvin Fitting, Alain Badiou and George Boolos

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7 ideas

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

12342

Topos theory explains the plurality of possible logics [Badiou]

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

14249

Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]

10225

Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]

10830

Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]

10736

Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]

10780

Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]

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

11026

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