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:

    “What is rational is actual and what is actual is rational. On this conviction the plain man like the philosopher takes his stand, and from it philosophy starts in its study of the universe of mind as well as the universe of nature.”
    —Georg Wilhelm Friedrich Hegel (1770–1831)

    “He bundles every forkful in its place,
    And tags and numbers it for future reference,
    So he can find and easily dislodge it
    In the unloading. Silas does that well.
    He takes it out in bunches like birds’ nests.”
    —Robert Frost (1874–1963)