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:
“What infinite heart’s ease
Must kings neglect, that private men enjoy!
And what have kings, that privates have not too,
Save ceremony, save general ceremony?”
—William Shakespeare (1564–1616)
“it pleaseth me when I see through the meadows
The tents and pavilions set up, and great joy have I
When I see o’er the campana knights armed and horses arrayed.
And it pleaseth me when the scouts set in flight the folk with
their goods;
And it pleaseth me when I see coming together after them an host of
armed men.”
—Bertrans De Born (fl. 12th century)