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 
is said to be infinite if there is a surjection 
. If this is not the case, 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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