Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'A Puzzle Concerning Matter and Form' and 'Languages of Art (2nd edn)'

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11 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]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
16755 The possible Aristotelian view that forms are real and active principles is clearly wrong [Fine,K, by Pasnau]
21. Aesthetics / B. Nature of Art / 1. Defining Art
20440 Art is a referential activity, hence indefinable, but it has a set of symptoms [Goodman]
21. Aesthetics / B. Nature of Art / 5. Art as Language
20439 Artistic symbols are judged by the fruitfulness of their classifications [Goodman, by Giovannelli]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
20438 A performance is only an instance of a work if there is not a single error [Goodman]
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
20437 A copy only becomes an 'instance' of an artwork if there is a system of notation [Goodman]