Combining Texts

All the ideas for 'fragments/reports', 'Introduction to Zermelo's 1930 paper' and 'Significance of the Kripkean Nec A Posteriori'

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13 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / c. Modern philosophy mid-period
13966 Analytic philosophy loved the necessary a priori analytic, linguistic modality, and rigour [Soames]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
13974 If philosophy is analysis of meaning, available to all competent speakers, what's left for philosophers? [Soames]
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]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
18933 Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
13969 Kripkean essential properties and relations are necessary, in all genuinely possible worlds [Soames]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
13973 A key achievement of Kripke is showing that important modalities are not linguistic in source [Soames]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
13968 Kripkean possible worlds are abstract maximal states in which the real world could have been [Soames]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
13972 Two-dimensionalism reinstates descriptivism, and reconnects necessity and apriority to analyticity [Soames]
19. Language / F. Communication / 1. Rhetoric
9866 Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
5864 Destroy seriousness with laughter, and laughter with seriousness [Gorgias]