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# 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.”

Citation Info

• [MLA] “uncountable.” Platonic Realms Interactive Mathematics Encyclopedia. Platonic Realms, 11 Apr 2014. Web. 18 Nov 2017. <http://platonicrealms.com/>
• [APA] uncountable (11 Apr 2014). Retrieved 18 Nov 2017 from the Platonic Realms Interactive Mathematics Encyclopedia: http://platonicrealms.com/encyclopedia/uncountable/