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About: Measurable cardinal     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatLargeCardinalsyago:Bishop109857200yago:Cardinal109894143yago:CausalAgent100007347yago:Clergyman109927451yago:Leader109623038yago:LivingThing100004258yago:Object100002684yago:Organism100004475yago:Person100007846yago:PhysicalEntity100001930yago:Priest110470779yago:YagoLegalActoryago:YagoLegalActorGeoyago:SpiritualLeader109505153yago:Whole100003553 New Facet based on Instances of this Class

In mathematics, a measurable cardinal is a certain kind of large cardinal number. In order to define the concept, one introduces a two-valued measure on a cardinal κ, or more generally on any set. For a cardinal κ, it can be described as a subdivision of all of its subsets into large and small sets such that κ itself is large, ∅ and all singletons {α}, α ∈ κ are small, complements of small sets are large and vice versa. The intersection of fewer than κ large sets is again large. The concept of a measurable cardinal was introduced by Stanislaw Ulam in 1930.