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superb entry! how about number -> unique number
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[[Image:Rationals countable.jpg|right|250px|thumb|While some details remain, such as eliminating reducible fractions, this picture shows the idea behind a numbering of all fractions.]]
 
[[Image:Rationals countable.jpg|right|250px|thumb|While some details remain, such as eliminating reducible fractions, this picture shows the idea behind a numbering of all fractions.]]
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In mathematics, a set is called '''countable''' if it can be numbered in such a way that every element will eventually receive a number.
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In mathematics, a set is called '''countable''' if it can be numbered in such a way that every element will eventually receive a unique number.
    
==Examples of Countable Sets==
 
==Examples of Countable Sets==
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