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:
“The process of writing has something infinite about it. Even though it is interrupted each night, it is one single notation.”
—Elias Canetti (b. 1905)
“When desire, having rejected reason and overpowered judgment which leads to right, is set in the direction of the pleasure which beauty can inspire, and when again under the influence of its kindred desires it is moved with violent motion towards the beauty of corporeal forms, it acquires a surname from this very violent motion, and is called love.”
—Socrates (469–399 B.C.)