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:
“For granting we have sinned, and that the offence
Of man is made against Omnipotence,
Some price that bears proportion must be paid,
And infinite with infinite be weighed.”
—John Dryden (1631–1700)
“Here did she fall a tear. Here in this place
I’ll set a bank of rue, sour herb-of-grace.
Rue even for ruth here shortly shall be seen
In the remembrance of a weeping queen.”
—William Shakespeare (1564–1616)