Combining Texts

All the ideas for 'fragments/reports', 'The Epistemology of Essentialist Claims' and 'Introduction to Zermelo's 1930 paper'

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10 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]

9. Objects / D. Essence of Objects / 3. Individual Essences

14637

Only individuals have essences, so numbers (as a higher type based on classes) lack them [McMichael]

9. Objects / D. Essence of Objects / 9. Essence and Properties

14636

Essences are the interesting necessary properties resulting from a thing's own peculiar nature [McMichael]

14640

Maybe essential properties have to be intrinsic, as well as necessary? [McMichael]

9. Objects / D. Essence of Objects / 15. Against Essentialism

14638

Essentialism is false, because it implies the existence of necessary singular propositions [McMichael]

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

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

26. Natural Theory / D. Laws of Nature / 5. Laws from Universals

14639

Individuals enter into laws only through their general qualities and relations [McMichael]