Continuum hypothesis

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In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states: There is no set whose cardinality is strictly between that of the integers and the real numbers. The continuum hypothesis was advanced by Georg Cantor in 1878, and establishing its truth or falsehood is the first of Hilbert's 23 problems presented in 1900.


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discussed in How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.

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Proof, which appeared in May in the Annals of Mathematics, unites two rival axioms that have been pos...