Combining Texts

All the ideas for 'Content Preservation', 'Empiricist View of Religion' 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]

13. Knowledge Criteria / C. External Justification / 1. External Justification

9382	Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]

29. Religion / D. Religious Issues / 1. Religious Commitment / b. Religious Meaning

1468	If meaning is use, then religious sentences have meaning because they are used to assert an intention about how to live [Braithwaite, by PG]