Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Philosophy of Logics' and 'Intellectual Norms and Foundations of Mind'

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9 ideas

3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
2572 Logical truth seems much less likely to 'correspond to the facts' than factual truth does [Haack]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
2570 The same sentence could be true in one language and meaningless in another, so truth is language-relative [Haack]
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]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
14349 If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry]