Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'works' and 'On the Nature of Truth and Falsehood'

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9 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
6343 For Russell, both propositions and facts are arrangements of objects, so obviously they correspond [Horwich on Russell]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
19. Language / D. Propositions / 6. Propositions Critique
7534 In 1906, Russell decided that propositions did not, after all, exist [Russell, by Monk]
24. Political Theory / D. Ideologies / 1. Ideology
15664 Ideology is 'socially necessary illusion' or 'socially necessary false-consciousness' [Adorno, by Finlayson]