Combining Texts

All the ideas for 'Inverted Earth', 'On the Question of Absolute Undecidability' and 'Recent Aesthetics in England and America'

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9 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]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
6172 The Inverted Earth example shows that phenomenal properties are not representational [Block, by Rowlands]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
12156 Aesthetics has risen and fallen with Romanticism [Scruton]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
12158 Aesthetic experience informs the world with the values of the observer [Scruton]