Combining Texts

All the ideas for 'works', 'Impossible Objects: interviews' and 'Remarks on axiomatised set theory'

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18 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
20455 Philosophy really got started as the rival mode of discourse to tragedy [Critchley]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
20446 Philosophy begins in disappointment, notably in religion and politics [Critchley]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
20449 Science gives us an excessively theoretical view of life [Critchley]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
20448 Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17879 Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17878 If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
8717 Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
17880 Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17881 Mathematician want performable operations, not propositions about objects [Skolem]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
10113 The grounding of mathematics is 'in the beginning was the sign' [Hilbert]
10115 Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
10116 Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
20454 Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
20456 Interesting art is always organised around ethical demands [Critchley]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
20447 The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley]
24. Political Theory / D. Ideologies / 2. Anarchism
20452 Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley]
20450 The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley]
24. Political Theory / D. Ideologies / 3. Conservatism
20451 Belief that humans are wicked leads to authoritarian politics [Critchley]