Combining Texts

All the ideas for 'fragments/reports', 'On 'Insolubilia' and their solution' and 'Remarks on axiomatised set theory'

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

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8 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]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets

21563

The 'no classes' theory says the propositions just refer to the members [Russell]

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]

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox

21565

Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox

21564

Vicious Circle: what involves ALL must not be one of those ALL [Russell]

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]

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

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