# continuum hypothesis

- a conjecture of set theory that the first infinite cardinal number greater than the cardinal number of the set of all positive integers is the cardinal number of the set of all real numbers.

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## Origin of continuum hypothesis^{}

First recorded in 1935–40

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## continuum hypothesis

- maths the assertion that there is no set whose cardinality is greater than that of the integers and smaller than that of the reals

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Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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