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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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Are there examples of statements that have been proven whose consistency proofs came before ...
I'm wondering if there are examples of statements that have been proven whose consistency proofs came before the proofs of the statements themselves.
More informally, I'm wondering how promising in g …