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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.

4 votes

Does the existence of the von Neumann hierarchy in models of Zermelo set theory with foundat...

If i understand you correctly, your A* is equivalent to the assertion that every set x belongs to a transitive set X s.t. every subset of a member of X is a member of X. (That way you don't have to ta …
Thomas Forster's user avatar