High Quality Content by WIKIPEDIA articles! In mathematics, a measurable cardinal is a certain kind of large cardinal number. Formally, a measurable cardinal is an uncountable cardinal number such that there exists a -additive, non-trivial, 0-1-valued measure on the power set of . (Here the term -additive means that, for any sequence (A , < < ) of cardinality some strictly less than , A being pairwise disjoint sets of ordinals less than , the measure of the union of the A equals the sum of the measures of the individual A .)

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