Combining Texts

All the ideas for 'General Draft', 'The Bacchae' and 'Remarks on axiomatised set theory'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly

22026

Philosophy is homesickness - the urge to be at home everywhere [Novalis]

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy

9283	Our ancient beliefs can never be overthrown by subtle arguments [Euripides]

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]

15. Nature of Minds / C. Capacities of Minds / 6. Idealisation

19591

Desire for perfection is an illness, if it turns against what is imperfect [Novalis]