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The '''continuum function''' is <math>\kappa\mapsto 2^\kappa</math>, i.e. raising 2 to the power of &kappa; using [[cardinal exponentiation]].  Given a [[cardinal number]], it is the cardinality of the [[power set]] of a set of the given cardinality.

==See also==
*[[Continuum hypothesis]]
*[[Cardinality of the continuum]]
*[[Beth number]]
*[[Gimel function]]

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[[Category:Cardinal numbers]]