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Showing 1 to 2 of 2 for “"Metamathematics."”.
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Borel Determinacy and Metamathematics
Borel determinacy states that if G(T;X) is a game and X is Borel, then G(T;X) is determined. Proved by Martin in 1975, Borel determinacy is a theorem of ZFC set theory, and is, in fact, the best determinacy result in ZFC. However, the proof uses sets of high set theoretic type (N1 many power sets …
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Expressing consistency : Gödel's second imcompleteness theorem and intensionality in metamathematics
Thesis. 1978. Ph.D.--Massachusetts Institute of Technology. Dept. of Linguistics and Philosophy.