Combining Texts

All the ideas for 'fragments/reports', 'De arcanus motus' 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]

8. Modes of Existence / C. Powers and Dispositions / 1. Powers

12733

Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]

10. Modality / A. Necessity / 2. Nature of Necessity

12734

Every necessary proposition is demonstrable to someone who understands [Leibniz]

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

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