Combining Texts

Ideas for 'works', 'Remarks on the definition and nature of mathematics' and 'Second Treatise of Government'

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4 ideas

5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic

17807

To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]

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]