Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Making Things Happen' and 'Habermas'

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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]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
14367 An explanation is a causal graph [Woodward,J, by Strevens]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
15675 We don't condemn people for being bad at reasoning [Finlayson]
23. Ethics / D. Deontological Ethics / 3. Universalisability
15674 One can universalise good advice, but that doesn't make it an obligation [Finlayson]
24. Political Theory / B. Nature of a State / 5. Culture
15662 The 'culture industry' is an advertisement for the way things are [Finlayson]