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continuum hypothesis

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Also known as Hilbert's first problem

hypothesis that no set has a cardinality between that of the integers and that of the real numbers

~24 min read

Encyclopedic overview

In mathematics, specifically set theory, 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.

Excerpted from Wikipedia’s “continuum hypothesis” article, available under the CC BY-SA 4.0 licence.