Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Actions' and 'Why Propositions Aren't Truth-Supporting Circumstance'

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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]
19. Language / C. Assigning Meanings / 2. Semantics
13965 Semantics as theory of meaning and semantics as truth-based logical consequence are very different [Soames]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
13964 Semantic content is a proposition made of sentence constituents (not some set of circumstances) [Soames]
20. Action / A. Definition of Action / 5. Action as Trying
20082 Bodily movements are not actions, which are really the tryings within bodily movement [Hornsby, by Stout,R]