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)
“To Time it never seems that he is brave
To set himself against the peaks of snow
To lay them level with the running wave,
Nor is he overjoyed when they lie low,
But only grave, contemplative and grave.”
—Robert Frost (1874–1963)