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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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Accepted
Cardinality of Equivalence Classes of Cauchy Sequences
It's the same as the size of the real numbers. Here's a rough sketch of the proof.
For each element of (0,1) (which has the same cardinality as the reals), I'm going to construct a distinct sequence …