In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. Some examples are:
- the set of all integers, {..., -1, 0, 1, 2, ...}, is a countably infinite set; and
- the set of all real numbers is an uncountably infinite set.
Read more about Infinite Set: Properties, History
Famous quotes containing the words infinite and/or set:
“We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.”
—Blaise Pascal (1623–1662)
“Genghis Khan, in his usual jodhpurs accessorized with whip, straddled a canvas chair and gloated upon the fairyland he had built. Journalists, photographers, secretaries, sycophants, script girls, and set dressers milled and stirred around him, activity ... irresistibly reminiscent of the movement of maggots upon rotting meat.”
—Angela Carter (1940–1992)