Rational Numbers
Any countable totally ordered set can be mapped injectively into the rational numbers in an order-preserving way.
Read more about this topic: Order Type
Famous quotes containing the words rational and/or numbers:
“We fetch fire and water, run about all day among the shops and markets, and get our clothes and shoes made and mended, and are the victims of these details, and once in a fortnight we arrive perhaps at a rational moment.”
—Ralph Waldo Emerson (1803–1882)
“The principle of majority rule is the mildest form in which the force of numbers can be exercised. It is a pacific substitute for civil war in which the opposing armies are counted and the victory is awarded to the larger before any blood is shed. Except in the sacred tests of democracy and in the incantations of the orators, we hardly take the trouble to pretend that the rule of the majority is not at bottom a rule of force.”
—Walter Lippmann (1889–1974)