Enumerating the Rationals

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The rational numbers can be arranged in a sequence, so that it is possible to speak of a first rational number, a second rational number, and, in general, an rational number, for any positive integer .

Contributed by: Matthew Szudzik (March 2011)
Open content licensed under CC BY-NC-SA


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For a more in-depth discussion of the countability of positive rational numbers, see this article.



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