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continuum hypothesis

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noun Mathematics.
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. 2021

How to use continuum hypothesis in a sentence

British Dictionary definitions for continuum hypothesis

continuum hypothesis

noun
maths the assertion that there is no set whose cardinality is greater than that of the integers and smaller than that of the reals
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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