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:
“In nature’s infinite book of secrecy
A little I can read.”
—William Shakespeare (1564–1616)
“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)