Combining Philosophers

All the ideas for Thrasymachus, Thoralf Skolem and Maurice Merleau-Ponty

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9 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles

21239

Philosophers are marked by a joint love of evidence and ambiguity [Merleau-Ponty]

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]

11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito

21862

Consciousness is based on 'I can', not on 'I think' [Merleau-Ponty]

12. Knowledge Sources / B. Perception / 5. Interpretation

20750

The mind does not unite perceptions, because they flow into one another [Merleau-Ponty]

28. God / C. Attitudes to God / 3. Deism

1558	Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus]