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Measurable cardinal

In mathematics, a cardinal number κ is called measurable iff there exists a κ-additive, non-trivial, 0-1-valued measure on the power set of κ.

Equivalently, κ is measurable if it is the critical point of a non-trivial elementary embedding of the universe V into a transitive class M.

Referenced By

List of mathematical logic topics | List of mathematical topics (M-O)

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Measurable cardinal".

 

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