Sets And Logic Codexery

Sets And Logic 25-32

8 entries in the Sets And Logic compendium.

Cantor's theoremNo set can be mapped onto its power set.Axiom of choiceAxiom asserting existence of a choice function for any collection of nonempty sets.Aleph numberAleph numbers measure sizes of infinite sets.Cardinal numberA number measuring the size of a set.Ordinal numberOrdinals extend counting to infinite well-ordered sets.Empty setThe unique set with no elements, fundamental to mathematics.Power setThe set of all subsets of a given set.Russell's paradoxA paradox revealing contradictions in naive set theory.
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