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:
“It has no future but itself—
Its infinite contain
Its past—enlightened to perceive
New periods of pain.”
—Emily Dickinson (1830–1886)
“Fruits are acceptable gifts, because they are the flower of commodities, and admit of fantastic values being attached to them. If a man should send to me to come a hundred miles to visit him, and should set before me a basket of fine summer-fruit, I should think there was some proportion between the labor and the reward.”
—Ralph Waldo Emerson (1803–1882)