Is it possible to construct a monotone sequence of all rational numbers? – math.stackexchange.com

Is it possible to construct a monotone sequence of all rational numbers? – math.stackexchange.com

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I know that the set of all rational numbers is countable, and can be enumerated by a sequence, say $\{a_n\}$. But can we construct a monotone $\{a_n\}_{n=1}^{\infty}$, e.g. with $a_k<a_{k+1}$? It ...

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