Large cardinals

Reinhardt cardinal

In set theory, a branch of mathematics, a Reinhardt cardinal is a kind of large cardinal. Reinhardt cardinals are considered under ZF (Zermelo–Fraenkel set theory without the Axiom of Choice), because they are inconsistent with ZFC (ZF with the Axiom of Choice). They were suggested (Reinhardt , ) by American mathematician William Nelson Reinhardt (1939–1998). (Wikipedia).

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Related pages

Large cardinal | Set theory | Class (set theory) | Constructible universe | Von Neumann–Bernays–Gödel set theory | Morse–Kelley set theory | Kunen's inconsistency theorem | Von Neumann universe | Berkeley cardinal | List of large cardinal properties | Zermelo–Fraenkel set theory | Critical point (set theory)