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What are rationals?

What are rationals? Here are some definitions.

Noun
  1. plural of rational
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Examples
Eudoxus said, in effect, that a point on the line is uniquely determined by its position among the rationals.
Topics follow the order of whole numbers, fractions, integers, rationals, and reals.
Note that it is known that the boundary complex of a simplicial polytope has the WLP over the rationals.
Keirsey and Bates also classify four subtype combinations as the four temperaments of Idealists, Rationals, Guardians, and Artisans.
Each continuous function from the real line to the rationals is constant, since the rationals are totally disconnected.

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