# uncountable

A set is said to be *uncountable* or *uncountably infinite* if it is infinite and cannot be placed into a one-to-one correspondence (i.e., a bijection) with the set of natural numbers. Georg Cantor proved that the set of real numbers is uncountable, a fact sometimes referred to as the “non-denumerability of the reals.”

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- [MLA] “uncountable.”
*Platonic Realms Interactive Mathematics Encyclopedia.*Platonic Realms, 11 Apr 2014. Web. 19 Jan 2018. <http://platonicrealms.com/> - [APA] uncountable (11 Apr 2014). Retrieved 19 Jan 2018 from the
*Platonic Realms Interactive Mathematics Encyclopedia:*http://platonicrealms.com/encyclopedia/uncountable/