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 of...
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Language: | English |
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University of North Texas
2001
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Online Access: | https://digital.library.unt.edu/ark:/67531/metadc3061/ |