Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Language of Morals' and 'Three-Dimensionalism v Four-Dimensionalism'

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12 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]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16050 The goodness of a picture supervenes on the picture; duplicates must be equally good [Hare]
9. Objects / B. Unity of Objects / 3. Unity Problems / a. Scattered objects
14590 If we accept scattered objects such as archipelagos, why not think of cars that way? [Hawthorne]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
14591 Four-dimensionalists say instantaneous objects are more fundamental than long-lived ones [Hawthorne]
10. Modality / A. Necessity / 11. Denial of Necessity
14589 A modal can reverse meaning if the context is seen differently, so maybe context is all? [Hawthorne]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
2855 In primary evaluative words like 'ought' prescription is constant but description can vary [Hare, by Hooker,B]
27. Natural Reality / C. Space / 6. Space-Time
14588 Modern metaphysicians tend to think space-time points are more fundamental than space-time regions [Hawthorne]