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)
“Whoever wants to set a good example must add a grain of foolishness to his virtue: then others can imitate and yet at the same time surpass the one they imitate—which human beings love to do.”
—Friedrich Nietzsche (1844–1900)