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:
“Vast chain of Being, which from God began,
Natures aethereal, human, angel, man,
Beast, bird, fish, insect! what no eye can see,
No glass can reach; from Infinite to thee,
From thee to Nothing!—”
—Alexander Pope (1688–1744)
“We Russians have assigned ourselves no other task in life but the cultivation of our own personalities, and when we’re barely past childhood, we set to work to cultivate them, those unfortunate personalities.”
—Ivan Sergeevich Turgenev (1818–1883)