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:

    “After I went to bed I had a curious fancy as to dreams. In sleep the doors of the mind are shut, and thoughts come jumping in at the windows. They tumble headlong, and therefore are so disorderly and strange. Sometimes they are stout and light on their feet, and then they are rational dreams.”
    —James Boswell (1740–1795)

    “And when all bodies meet
    In Lethe to be drowned,
    Then only numbers sweet
    With endless life are crowned.”
    —Robert Herrick (1591–1674)