Combining Texts

All the ideas for 'The Epic of Gilgamesh', 'An Axiomatization of Set Theory' and 'Remarks on axiomatised set theory'

expand these ideas     |    start again     |     specify just one area for these texts

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17879

Axiomatising set theory makes it all relative [Skolem]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

15943

Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17878

If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17880

Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

13672

All the axioms for mathematics presuppose set theory [Neumann]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

17881

Mathematician want performable operations, not propositions about objects [Skolem]

26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature

8659	The gods alone live forever with Shamash. The days of humans are numbered. [Anon (Gilg)]