Combining Philosophers
Ideas for Melvin Fitting, Crates (Theb) and George Cantor
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5 ideas
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
11026
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Classical logic is deliberately extensional, in order to model mathematics [Fitting]
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5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
11028
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λ-abstraction disambiguates the scope of modal operators [Fitting]
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5. Theory of Logic / K. Features of Logics / 8. Enumerability
10082
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There are infinite sets that are not enumerable [Cantor, by Smith,P]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
13483
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Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
8710
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The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend]
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