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Results tagged with set-theory
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user 120577
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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Model ${\sf ZF}$ that "spreads" members of ${\cal P}(X)$
What if we make an attempt like this as follows: There is no such ZF model. We can prove in ZF that there is no infinite set X and injective function $f:\mathcal{P}(X)\rightarrow\mathcal{P}(X)$ such t …
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