Combining Texts

Ideas for 'works', 'works' and 'The Foundations of Mathematics'

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7 ideas

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 / 1. Naming / b. Names as descriptive

21889

'I' is the perfect name, because it denotes without description [Derrida]

21878

Names have a subjective aspect, especially the role of our own name [Derrida]

5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential

21879

Even Kripke can't explain names; the word is the thing, and the thing is the word [Derrida]

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]