Combining Philosophers

All the ideas for Thoralf Skolem, Iamblichus and Eurytus

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

---

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 / 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]

27. Natural Reality / G. Biology / 1. Biology

651	Eurytus showed that numbers underlie things by making pictures of creatures out of pebbles [Eurytus, by Aristotle]

28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question

1515	Pythagoreans believe it is absurd to seek for goodness anywhere except with the gods [Iamblichus]