Combining Texts

All the ideas for 'Two Problems of Epistemology', 'Dispositional Essentialism and the Laws of Nature' and 'Introduction to Zermelo's 1930 paper'

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]

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]

14. Science / A. Basis of Science / 6. Falsification

18284

Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]

26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws

17993

Laws are relations of kinds, quantities and qualities, supervening on the essences of a domain [Vetter]