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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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Set theory for category theory beginners
Several generations of mathematicians, working and otherwise, learned their portion of axiomatic set theory and foundations from the appendix to John L. Kelley's General Topology. It was still in pri …