Combining Texts

All the ideas for 'Reductive Theories of Modality', 'What is the Basis of Moral Obligation?' and 'Introduction to Zermelo's 1930 paper'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
9218 Maybe what distinguishes philosophy from science is its pursuit of necessary truths [Sider]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
9254 In philosophy the truth can only be reached via the ruins of the false [Prichard]
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]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
9256 I see the need to pay a debt in a particular instance, and any instance will do [Prichard]
9257 The complexities of life make it almost impossible to assess morality from a universal viewpoint [Prichard]
23. Ethics / D. Deontological Ethics / 2. Duty
9255 Seeing the goodness of an effect creates the duty to produce it, not the desire [Prichard]