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:
“Alas, poor Yorick! I knew him, Horatio: a fellow of infinite jest, of most excellent fancy.... Where be your jibes now, your gambols, your songs, your flashes of merriment that were wont to set the table on a roar?”
—William Shakespeare (1564–1616)
“It is a great pity—but ‘tis certain from every day’s observation of man, that he may be set on fire like a candle, at either end—provided there is a sufficient wick standing out.”
—Laurence Sterne (1713–1768)