Combining Texts

All the ideas for 'Letters to Wagner', 'Introduction to Zermelo's 1930 paper' and 'Intro to 'Provenance of Pure Reason''

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

---

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]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

13416

Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]

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]

26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter

19436

Bare or primary matter is passive; it is clothed or secondary matter which contains action [Leibniz]