Combining Texts

All the ideas for 'fragments/reports', 'Introduction to Zermelo's 1930 paper' and 'On the Individuation of Attributes'

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

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9 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 / B. Properties / 12. Denial of Properties

18439

Because things can share attributes, we cannot individuate attributes clearly [Quine]

8. Modes of Existence / E. Nominalism / 5. Class Nominalism

18442

You only know an attribute if you know what things have it [Quine]

9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation

18441

No entity without identity (which requires a principle of individuation) [Quine]

9. Objects / F. Identity among Objects / 6. Identity between Objects

18440

Identity of physical objects is just being coextensive [Quine]

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

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