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Continuum function

 Home Mathematics Fields of mathematics Arithmetic Numbers Cardinal numbers
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The Continuum function is a concept in set theory, particularly in the study of cardinal numbers and the properties of infinite sets. It is often associated with the question of the size of the set of real numbers compared to the size of the set of natural numbers. More specifically, the Continuum hypothesis posits that there is no set whose cardinality is strictly between that of the integers (natural numbers) and the real numbers.

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