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:
“Psychobabble is ... a set of repetitive verbal formalities that kills off the very spontaneity, candor, and understanding it pretends to promote. It’s an idiom that reduces psychological insight to a collection of standardized observations, that provides a frozen lexicon to deal with an infinite variety of problems.”
—Richard Dean Rosen (b. 1949)
“I’ve tried to open the door. My knock isn’t that big a sound. But it is like the knock in “The Wizard of Oz.” It set up this echo through the halls until it was heard by everyone.”
—Shannon Faulkner (b. c. 1975)