Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Contributions of Philosophy (On Appropriation)' and 'A Thousand Small Sanities'

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26 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
15586 When philosophy makes itself intelligible, it commits suicide [Heidegger]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
8679 We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
9942 Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
18062 Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10868 The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
13517 If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
10271 Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
23125 Most good social changes are incremental, rather than revolutionary [Gopnik]
24. Political Theory / D. Ideologies / 3. Conservatism
23126 Conservatives often want peace, prosperity and tolerance, but not social fairness [Gopnik]
23132 Conservatives believe obedience and rank are essential to social order [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
23128 The opposite of liberalism is dogmatism [Gopnik]
23142 People are fallible, so liberalism tries to distribute power [Gopnik]
23143 Liberals have tried very hard to build a conscience into their institutions [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
23141 Left-wingers are inconsistent in their essentialist descriptions of social groups [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
23124 Liberal community is not blood ties or tradition, but shared choices, and sympathy for the losers [Gopnik]
23127 Liberal community includes flight from the family, into energetic reforming groups [Gopnik]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
23129 Right-wingers attack liberal faith in reason, left-wingers attack its faith in reform [Gopnik]
23133 Cosmopolitan liberals lack national loyalty, and welcome excessive immigration [Gopnik]
23138 Modern left-wingers criticise liberalism's control of culture [Gopnik]
23139 Liberalism's attempt to be neutral and colour-blind erases cultural identities [Gopnik]
24. Political Theory / D. Ideologies / 9. Communism
23135 Classic Marxists see liberalism as the ideology of the bourgeoisie [Gopnik]
24. Political Theory / D. Ideologies / 11. Capitalism
23140 Environmental disasters result not from capitalism, but from a general drive for growth [Gopnik]
24. Political Theory / D. Ideologies / 14. Nationalism
23130 Popular imperialism gives the poor the belief that their acts have world historical meaning [Gopnik]
23131 Patriots love their place, but nationalists have a paranoid ethnic hostility [Gopnik]
25. Social Practice / A. Freedoms / 3. Free speech
23136 Liberal free speech is actually paid speech [Gopnik]
25. Social Practice / A. Freedoms / 4. Free market
23134 A 'free' society implies a free market, which always produces predatory capitalism and inequalities [Gopnik]