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Mathematical Object

Uncountable Set

Logic, Foundations and Set Theory

An uncountable set is, informally, an infinite set that contains too many elements to be countable, meaning its elements cannot be placed in a one to one correspondence with the natural numbers. Its uncountability is tied to its cardinal number: a set is uncountable when its cardinality is larger than aleph null, the cardinality of the natural numbers. The real numbers and the set of all subsets of the natural numbers are both standard examples of uncountable sets. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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1. Uncountable Set (Wikipedia)
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In mathematics, an uncountable set, informally, is an infinite set that contains too many elements to be countable.
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