Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Thoralf Skolem and James Gordon Finlayson

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9 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]

9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts

12887

A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics

15675

We don't condemn people for being bad at reasoning [Finlayson]

23. Ethics / D. Deontological Ethics / 3. Universalisability

15674

One can universalise good advice, but that doesn't make it an obligation [Finlayson]

24. Political Theory / B. Nature of a State / 5. Culture

15662

The 'culture industry' is an advertisement for the way things are [Finlayson]