Combining Texts

All the ideas for 'Wisdom', 'Vindication of Religion (extract)' and 'Introduction to Zermelo's 1930 paper'

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

---

6 ideas

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

19695

The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb]

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 / h. Respect

1460	Religious experience deserves the same respect as our other key experiences, and is best called 'holy' [Taylor,AE, by PG]