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About: Kleene's O     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:OrdinalNumber113597280, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatOrdinalNumbersyago:Abstraction100002137yago:DefiniteQuantity113576101yago:Measure100033615yago:Number113582013yago:OrdinalNumber113597280 New Facet based on Instances of this Class

In set theory and computability theory, Kleene's is a canonical subset of the natural numbers when regarded as ordinal notations. It contains ordinal notations for every computable ordinal, that is, ordinals below Church–Kleene ordinal, . Since is the first ordinal not representable in a computable system of ordinal notations the elements of can be regarded as the canonical ordinal notations.