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 thank You God for most this amazing
day: for the leaping greenly spirits of trees
and a blue true dream of sky; and for everything
which is natural which is infinite which is yes”
—E.E. (Edward Estlin)
“If nations always moved from one set of furnished rooms to another—and always into a better set—things might be easier, but the trouble is that there is no one to prepare the new rooms. The future is worse than the ocean—there is nothing there. It will be what men and circumstances make it.”
—Alexander Herzen (1812–1870)