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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.
4
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Pathological behavior of Borel sets?
Determinacy implies that for any subset S of any Polish space and any compact K, if S contains an uncountable collection of pairwise disjoint copies of K then it contains a copy of (2^omega X K). Thi …