Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'Ethical consistency' and 'Introduction to Zermelo's 1930 paper'

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7 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]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

14235

Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]

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]

20. Action / C. Motives for Action / 5. Action Dilemmas / a. Dilemmas

22455

Many ethical theories neglect the power of regretting the ought not acted upon [Williams,B]

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

22453

Moral conflicts have a different feeling and structure from belief conflicts [Williams,B, by Foot]