Combining Texts

All the ideas for 'Ethics: Inventing Right and Wrong', '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]

22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism

4761	The 'error theory' of morals says there is no moral knowledge, because there are no moral facts [Mackie, by Engel]

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]