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Results tagged with set-theory
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user 119531
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.
5
votes
Are buttons really enough to bound validities by S4.2?
We now know that the existence of arbitrarily many independent buttons suffices to bound the validities by Grz.2. It is one of the results from my forthcoming work—Modal theory of the category of sets …
2
votes
Is the notion of measurable cardinal definable from the perspective of set-theoretical poten...
Yes, it is sufficient. Your question actually touches on a known, similar issue. A proper class is not an object in ZF, so in ZF we can't directly refer to it. Hence, again under the assumption we wor …