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)
“O these encounterers, so glib of tongue,
That give a coasting welcome ere it comes,
And wide unclasp the tables of their thoughts
To every ticklish reader! Set them down
For sluttish spoils of opportunity
And daughters of the game.”
—William Shakespeare (1564–1616)