Combining Texts

All the ideas for 'fragments/reports', 'City of God' and 'Remarks on axiomatised set theory'

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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]

10. Modality / A. Necessity / 8. Transcendental Necessity

490	Everything happens by reason and necessity [Leucippus]

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

3912	I must exist in order to be mistaken, so that even if I am mistaken, I can't be wrong about my own existence [Augustine]

17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism

6683	The contact of spirit and body is utterly amazing, and incomprehensible [Augustine]