Combining Texts

All the ideas for 'The Beautiful in Music', 'On boundary numbers and domains of sets' and 'Holism: a Shopper's Guide'

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

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5 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17832

Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII

13028

Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]

5. Theory of Logic / L. Paradox / 3. Antinomies

17626

The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]

19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism

9381	If some inferences are needed to fix meaning, but we don't know which, they are all relevant [Fodor/Lepore, by Boghossian]

21. Aesthetics / C. Artistic Issues / 4. Emotion in Art

20344

Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]