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:
“In talking with scholars, I observe that they lost on ruder companions those years of boyhood which alone could give imaginative literature a religious and infinite quality in their esteem.”
—Ralph Waldo Emerson (1803–1882)
“Moral laws are set as a curb and restraint to these exorbitant desires, which they cannot be but by rewards and punishments, that will over-balance the satisfaction any one shall propose to himself in the breach of the law.”
—John Locke (1632–1704)