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:
“Let us then examine this point, and say, “God is, or he is not.” But to which side shall we incline? Reason can decide nothing here. There is an infinite chaos which separates us. A game is being played at the extremity of this infinite distance where heads or tails will turn up. What will you wager?”
—Blaise Pascal (1623–1662)
“This book was written in good faith, reader. It warns you from the outset that in it I have set myself no goal but a domestic and private one.... I am myself the matter of my book.”
—Michel de Montaigne (1533–1592)