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:
“You need an infinite stretch of time ahead of you to start to think, infinite energy to make the smallest decision. The world is getting denser. The immense number of useless projects is bewildering. Too many things have to be put in to balance up an uncertain scale. You can’t disappear anymore. You die in a state of total indecision.”
—Jean Baudrillard (b. 1929)
“In America every woman has her set of girl-friends; some are cousins, the rest are gained at school. These form a permanent committee who sit on each other’s affairs, who “come out” together, marry and divorce together, and who end as those groups of bustling, heartless well-informed club-women who govern society. Against them the Couple of Ehepaar is helpless and Man in their eyes but a biological interlude.”
—Cyril Connolly (1903–1974)