# Well-Ordered

A non-empty set $$A$$ of real numbers is called $$well-ordered$$ if every non-empty subset of $$A$$ has a least element.

The set of positive integers is well-ordered.

Is the set of positive rational numbers that can be written in the form $$\frac{a}{2}$$, where $$a$$ is a positive integer, $$well-ordered$$?

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