Combining Philosophers

All the ideas for Stilpo, Euripides and Thoralf Skolem

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7 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy

9283	Our ancient beliefs can never be overthrown by subtle arguments [Euripides]

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 / 8. Critique of Set Theory

13536

Skolem did not believe in the existence of uncountable sets [Skolem]

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

17881

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

28. God / C. Attitudes to God / 5. Atheism

3029	Stilpo said if Athena is a daughter of Zeus, then a statue is only the child of a sculptor, and so is not a god [Stilpo, by Diog. Laertius]