Order Type - Rational Numbers

Rational Numbers

Any countable totally ordered set can be mapped injectively into the rational numbers in an order-preserving way.

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Famous quotes containing the words rational and/or numbers:

    So far as discipline is concerned, freedom means not its absence but the use of higher and more rational forms as contrasted with those that are lower or less rational.
    Charles Horton Cooley (1864–1929)

    Our religion vulgarly stands on numbers of believers. Whenever the appeal is made—no matter how indirectly—to numbers, proclamation is then and there made, that religion is not. He that finds God a sweet, enveloping presence, who shall dare to come in?
    Ralph Waldo Emerson (1803–1882)