Combining Texts

All the ideas for 'fragments/reports', 'Introduction to Zermelo's 1930 paper' and 'Fragments on My Philosophical Development'

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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]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / i. Absolute virtues

19458

Egoism is the only evil, love the only good; genuine love produces all the other virtues [Feuerbach]

28. God / A. Divine Nature / 1. God

6011	There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]