Combining Texts

All the ideas for 'God and Human Attributes', 'Essentialists and Essentialism' and 'Introduction to Zermelo's 1930 paper'

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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]

9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties

14380

The distinction between necessary and essential properties can be ignored [Rocca]

28. God / B. Proving God / 2. Proofs of Reason / c. Moral Argument

20713

God must be fit for worship, but worship abandons morally autonomy, but there is no God [Rachels, by Davies,B]