Combining Philosophers

All the ideas for Oscar Wilde, Pindar and Michael Hallett

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8 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]

21. Aesthetics / C. Artistic Issues / 6. Value of Art

7276	All art is quite useless [Wilde]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

7274	Books are only well or badly written, not moral or immoral [Wilde]

7275	Having ethical sympathies is a bad mannerism of style in an artist [Wilde]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention

6017	Nomos is king [Pindar]