Difference between revisions of "Infinite"

 
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A set <math>S</math> is said to be '''infinite''' if there is a [[surjection]] <math>f:S\to\mathbb{Z}</math>. If this is not the case, <math>S</math> is said to be [[finite]].
 
A set <math>S</math> is said to be '''infinite''' if there is a [[surjection]] <math>f:S\to\mathbb{Z}</math>. If this is not the case, <math>S</math> is said to be [[finite]].
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In simplified language, if a set is infinite, that means that it doesn't end, i.e. you can always find another element that you haven't examined yet.
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Revision as of 00:20, 7 July 2006

A set $S$ is said to be infinite if there is a surjection $f:S\to\mathbb{Z}$. If this is not the case, $S$ is said to be finite.

In simplified language, if a set is infinite, that means that it doesn't end, i.e. you can always find another element that you haven't examined yet.


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