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Results tagged with set-theory
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user 50609
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.
7
votes
Can the symmetric groups on sets of different cardinalities be isomorphic?
I figured out a solution that just takes some basic combinatorics, and doesn't use the axiom of choice at all; I'm surprised no one else posted something similar already.
Assume $X$ is not finite, si …
