Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'Creating the Kingdom of Ends' and 'Introduction to Zermelo's 1930 paper'

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

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6 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]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics

18678

Maybe final value rests on the extrinsic property of being valued by a rational agent [Korsgaard, by Orsi]

26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory

9425	Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]