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:
“I would fain keep sober always; and there are infinite degrees of drunkenness.”
—Henry David Thoreau (1817–1862)
“There one that ruffled in a manly pose
For all his timid heart, there that slow man,
That meditative man, John Synge, and those
Impetuous men, Shawe-Taylor and Hugh Lane,
Found pride established in humility,
A scene well set and excellent company.”
—William Butler Yeats (1865–1939)