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Results tagged with set-theory
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user 102468
forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.
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Tarski's truth theorem — semantic or syntactic?
In arithmetic, you can use numbers ("Gödel numbers") to code formulas, and numerals in the very language to name them. In set theory, you can similarly use finite sets, e.g. von Neumann ordinals, to c …
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Necessary use of large cardinals in mathematics
It was a traditional question of descriptive set theory (a question which can be formulated in the language of second order arithmetic) whether all projective sets are Lebesgue measurable. This remai …