Combining Texts

All the ideas for 'The Emperor's New 'Knows'', 'works' and 'Philosophy of Mathematics'

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22 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23445 Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
23447 In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
23443 The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
23444 To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
23446 You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
23448 Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
23441 Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
23442 Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
12900 How could 'S knows he has hands' not have a fixed content? [Bach]
12901 If contextualism is right, knowledge sentences are baffling out of their context [Bach]
12902 Sceptics aren't changing the meaning of 'know', but claiming knowing is tougher than we think [Bach]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
23874 Armies and businesses create moralities in which their activity can do no wrong [Marx, by Weil]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
18662 Liberal freedom is the right to be separate, and ignores the union of man with man [Marx]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
23372 Liberals want the right to be separate, rather than for people to be united [Marx]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
20576 Early Marx anticipates communitarian objections to liberalism [Marx, by Oksala]
24. Political Theory / D. Ideologies / 9. Communism
23862 By saying the material dialectic of history aspires to the best, Marx agreed with capitalism [Weil on Marx]
21999 False consciousness results from concealment by the superstructure [Marx, by Singer]
23875 Marx says force is everything, and that the weak will become strong, while remaining the weak [Weil on Marx]
18653 Marx rejected equal rights because they never actually treat people as equals [Marx, by Kymlicka]
24. Political Theory / D. Ideologies / 11. Capitalism
23876 The essence of capitalism is the subordination of people to things [Marx, by Weil]
20958 Capitalism changes the world, by socialising the idea of a commodity [Marx, by Bowie]
20960 Marx thought capitalism was partly liberating, and could make labour and ownership more humane [Marx, by Bowie]