Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Nonexistent Objects' and 'Recent Work on Consciousness'

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10 ideas

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]
9. Objects / A. Existence of Objects / 4. Impossible objects
18948 There is an object for every set of properties (some of which exist, and others don't) [Parsons,T, by Sawyer]
15. Nature of Minds / B. Features of Minds / 3. Privacy
7522 A full neural account of qualia will give new epistemic access to them, beyond private experience [Churchlands]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
7521 It is question-begging to assume that qualia are totally simple, hence irreducible [Churchlands]
7523 The qualia Hard Problem is easy, in comparison with the co-ordination of mental states [Churchlands]