FACTOID # 130: In Belgium, 55% of government ministers are female. The country’s first female parliamentarian was appointed in 1921.
 
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Encyclopedia > Measurable cardinal

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Measurable cardinal - Wikipedia, the free encyclopedia (257 words)
In mathematics, a measurable cardinal is a certain kind of large cardinal number.
A real valued measurable cardinal not greater than c exists iff there is a countably additive extension of the Lebesgue measure to all sets of real numbers.
Although it follows from ZFC that every measurable cardinal is inaccessible (and is ineffable, Ramsey, etc.), it is consistent with ZF that a measurable cardinal can be a successor.
Measurable cardinal - Encyclopedia, History, Geography and Biography (256 words)
Formally, a measurable cardinal is a cardinal number κ such that there exists a κ-additive, non-trivial, 0-1-valued measure on the power set of κ.
A real valued measurable cardinal exists iff there is a countably additive extension of the Lebesgue measure to all sets of real numbers.
A regular cardinal is measurable iff there is a cardinal preserving generic extension of V in which the cardinal is singular.
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