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Results tagged with set-theory
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user 6920
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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Is this first-order statement true? [closed]
Consider the natural numbers $\mathbb{N}$ as a structure for NBG set theory.
If we interpret the Axiom of Unions in this structure, we get the statement
$(\forall a \in \mathbb{N})$ $(\exists w \in …
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