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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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Need help unpacking the interdependence of axiomatic set theory and first-order logic
I'm currently self-studying both Von Neumann Set Theory (not ZFC but rather axiomatic set theory with the undefined notion of class) and First-Order Logic.
I've been self-studying the following textbo …