Combining Texts

All the ideas for 'fragments/reports', 'Introduction to Zermelo's 1930 paper' and 'Journals'

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

---

9 ideas

1. Philosophy / D. Nature of Philosophy / 4. Divisions of Philosophy

20771

Six parts: dialectic, rhetoric, ethics, politics, physics, theology [Cleanthes, by Diog. Laertius]

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]

17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique

6028	Bodies interact with other bodies, and cuts cause pain, and shame causes blushing, so the soul is a body [Cleanthes, by Nemesius]

17. Mind and Body / E. Mind as Physical / 1. Physical Mind

20831

The soul suffers when the body hurts, creates redness from shame, and pallor from fear [Cleanthes]

26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles

16707

Cold and hot are the swiftness and slowness of corpuscular motion [Beeckman]

28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof

5993	The ascending scale of living creatures requires a perfect being [Cleanthes, by Tieleman]