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:
“I would fain keep sober always; and there are infinite degrees of drunkenness.”
—Henry David Thoreau (1817–1862)
“A more secret, sweet, and overpowering beauty appears to man when his heart and mind open to the sentiment of virtue. Then he is instructed in what is set above him. He learns that his being is without bound; that to the good, to the perfect, he is born, low as he now lies in evil and weakness.”
—Ralph Waldo Emerson (1803–1882)