Combining Texts

All the ideas for 'Lysis', 'Remarks on axiomatised set theory' and 'The Individual, the State, and the Common Good'

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

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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]

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]

22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good

295	The good is beautiful [Plato]

23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship

294	People say that friendship exists only between good men [Plato]

24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique

22251

Liberalism may fail because it neglects the shared nature of what we pursue and protect [Haldane]