Combining Philosophers

Ideas for Melvin Fitting, David Hilbert and Ernst Zermelo

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6 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 / D. Assumptions for Logic / 2. Excluded Middle

18844

You would cripple mathematics if you denied Excluded Middle [Hilbert]

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

11028

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

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17963

The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]

17966

Axioms must reveal their dependence (or not), and must be consistent [Hilbert]

5. Theory of Logic / L. Paradox / 3. Antinomies

17626

The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]