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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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The existence of proper classes
Andreas Blass states that proper classes do not exist and emphasizes that this is only his philosophical opinion, and not a mathematical fact.(link text).
Is it really not a mathematical fact? I thin …