Combining Texts

All the ideas for 'fragments/reports', 'In Metaphysics' and 'Remarks on axiomatised set theory'

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]

7. Existence / A. Nature of Existence / 6. Criterion for Existence

16660

Are things distinct if they are both separate, or if only one of them can be separate? [Duns Scotus, by Pasnau]

9. Objects / B. Unity of Objects / 2. Substance / a. Substance

16626

Substance is only grasped under the general heading of 'being' [Duns Scotus]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]