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Uncountable set
Infinite set that is not countable
Infinite set that is not countable
In mathematics, an uncountable set, informally, is an infinite set that contains too many elements to be 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-null, the cardinality of the natural numbers. Examples of uncountable sets include the set R {\displaystyle \mathbb {R} } of all real numbers and the set of all subsets of the natural numbers.
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