Combining Texts

All the ideas for 'Laches', 'Letters to Voetius' and 'Introduction to Zermelo's 1930 paper'

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

---

7 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated

291	Don't assume that wisdom is the automatic consequence of old age [Plato]

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]

23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage

293	Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]

28. God / C. Attitudes to God / 5. Atheism

16712

Atheism is an atrocious and intolerable crime in any country [Descartes]