Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Letters to a German Princess' and 'Some Models for Implicature'

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11 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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
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
Arithmetical undecidability is always settled at the next stage up [Koellner]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Grice said patterns of use are often semantically irrelevant, because it is a pragmatic matter [Grice, by Glock]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
Grice's maxim of quality says do not assert what you believe to be false [Grice, by Magidor]
Grice's maxim of manner requires one to be as brief as possible [Grice, by Magidor]
Grice's maxim of quantity says be sufficiently informative [Grice, by Magidor]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Euler said nature is instrinsically passive, and minds cause change [Euler, by Ellis]