A set which is not countable is called uncountable. The best known example is the set of all real numbers: Cantor's diagonal argument shows that this set is uncountable. Not all uncountable sets have the same size; the sizes of infinite sets are analyzed with the theory of cardinal numbers. |
In mathematics, a set which is not countable is called uncountable. The best known example is the set of all real numbers: Cantor's diagonal argument shows that this set is uncountable. Not all uncountable sets have the same size; the sizes of infinite sets are analyzed with the theory of cardinal numbers. |