Editing Uncountable set (section)

{{Short description|Infinite set that is not countable}}
{{Redirect|Uncountable|the linguistic concept|Uncountable noun}}

{{One source|date=April 2025}}
In [[mathematics]], an '''uncountable set''', informally, is an [[infinite set]] that contains too many [[Element (mathematics)|elements]] to be [[countable set|countable]]. The uncountability of a set is closely related to its [[cardinal number]]: a set is uncountable if its cardinal number is larger than [[Aleph number|aleph-null]], the cardinality of the [[natural number]]s.

Examples of uncountable sets include the set {{tmath|\R}} of all [[real number]]s and set of all subsets of the natural numbers.