Uncountable: Difference between revisions
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A set <math>S</math> is said to be '''uncountable''' if there is no [[injection]] <math>f:S\to\mathbb{Z}</math>. A well-known example of an uncountable set is the set of [[real number]]s <math>\mathbb{R}</math>. | A set <math>S</math> is said to be '''uncountable''' if there is no [[injection]] <math>f:S\to\mathbb{Z}</math>. A well-known example of an uncountable set is the set of [[real number]]s <math>\mathbb{R}</math>. | ||
(Someone should give the proof that <math>\mathbb{R}</math> is uncountable.) | (Someone should give the proof that <math>\mathbb{R}</math> is uncountable.) | ||
==See Also== | |||
* [[Countable]] | |||
* [[Infinite]] | |||
* [[Finite]] | |||
Revision as of 12:17, 29 June 2006
This article is a stub. Help us out by expanding it.
A set 
is said to be uncountable if there is no injection 
. A well-known example of an uncountable set is the set of real numbers 
.
(Someone should give the proof that is uncountable.)
