Combining Texts

All the ideas for 'fragments/reports', 'Introduction to Zermelo's 1930 paper' and 'talk'

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8 ideas

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

17833

The first-order ZF axiomatisation is highly non-categorical [Hallett,M]

17834

Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

17837

Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

17836

The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]

8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking

6900	A prior understanding of beauty is needed to assert that the Form of the Beautiful is beautiful [Westaway]

9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts

6956	At what point does an object become 'whole'? [Westaway]

17. Mind and Body / C. Functionalism / 7. Chinese Room

7335	The Chinese Room should be able to ask itself questions in Mandarin [Westaway]

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

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