Difference between revisions of "Finite"

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A [[set]] is said to be '''finite''' if either it is the [[empty set]] or it can be put into bijection with a set <math>\{0, 1, 2, \ldots, n\}</math> for some [[nonnegative]] [[integer]] <math>n</math>.
 
A [[set]] is said to be '''finite''' if either it is the [[empty set]] or it can be put into bijection with a set <math>\{0, 1, 2, \ldots, n\}</math> for some [[nonnegative]] [[integer]] <math>n</math>.
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In simpler terms, finite means to be not infinite, that is to be countable.
  
 
==See also==
 
==See also==
 
* [[Infinite]]
 
* [[Infinite]]

Revision as of 00:10, 7 July 2006

A set is said to be finite if either it is the empty set or it can be put into bijection with a set $\{0, 1, 2, \ldots, n\}$ for some nonnegative integer $n$.

In simpler terms, finite means to be not infinite, that is to be countable.

See also