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:
“They will visit you at your convenience, whether you are lonesome or not, on rainy days or fair. They propose themselves as either transient acquaintances or permanent friends. They will stay as long as you like, departing or returning as you wish. Their friendship entails no obligation. Best of all, and not always true of our merely human friends, they have Cleopatra’s infinite variety.”
—Clifton Fadiman (b. 1904)
“One, two and many: flesh had made him blind,
Flesh had one pleasure only in the act,
Flesh set one purpose only in the mind—
Triumph of flesh and afterwards to find
Still those same terrors wherewith flesh was racked.”
—Robert Graves (1895–1985)