Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Minds, Brains and Science' and '09: Galatians'

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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]
17. Mind and Body / C. Functionalism / 7. Chinese Room
2427 Maybe understanding doesn't need consciousness, despite what Searle seems to think [Searle, by Chalmers]
7389 A program won't contain understanding if it is small enough to imagine [Dennett on Searle]
7390 If bigger and bigger brain parts can't understand, how can a whole brain? [Dennett on Searle]
25. Social Practice / B. Equalities / 1. Grounds of equality
19945 Jew and Greeks, bond and free, male and female, are all one in Christ [Paul]