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Results tagged with set-theory
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user 508371
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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Does every set admit a ring structure or a field structure?
Attempt to answer: Every set up to cardinality admits a ring structure, (except the empty set). Let $S$ be a set. If $S$ if finite, we may assume it's $ \mathbb{Z} / n \mathbb{Z}$. Otherwise, constru …
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