Combining Texts

All the ideas for 'fragments/reports', 'The Logic of Decision' and 'Introduction to Zermelo's 1930 paper'

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

---

7 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

23367

Even pointing a finger should only be done for a reason [Epictetus]

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]

10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions

16285

A possible world can be seen as a complete and consistent novel [Jeffrey]

14. Science / C. Induction / 6. Bayes's Theorem

19155

Instead of gambling, Jeffrey made the objects of Bayesian preference to be propositions [Jeffrey, by Davidson]