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Ideas for 'works', 'Mathematical Methods in Philosophy' and 'works'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic

18739

Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]

5. Theory of Logic / E. Structures of Logic / 1. Logical Form

4730	For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]

18741

Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

18744

Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]

5. Theory of Logic / K. Features of Logics / 8. Enumerability

10082

There are infinite sets that are not enumerable [Cantor, by Smith,P]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox

13483

Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox

8710	The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend]