Combining Philosophers

All the ideas for Alexander, Sophocles and Thoralf Skolem

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
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
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
Mathematician want performable operations, not propositions about objects [Skolem]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
Sophoclean heroes die terrible deaths when they oppose the new Athenian values [Sophocles, by Grayling]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
How can things without weight compose weight? [Alexander]