uncountable
Definition A set is uncountable if it is not countable. In other words, a set is uncountable, if there is no subset of (the set of natural numbers) with the same cardinality as .
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The real numbers form an uncountable set. The famous proof of this result is based on Cantor’s diagonal argument.
Title | uncountable |
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Canonical name | Uncountable |
Date of creation | 2013-03-22 11:59:08 |
Last modified on | 2013-03-22 11:59:08 |
Owner | yark (2760) |
Last modified by | yark (2760) |
Numerical id | 9 |
Author | yark (2760) |
Entry type | Definition |
Classification | msc 03E10 |
Synonym | uncountable set |
Related topic | CardinalityOfTheContinuum |