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:
“Coming to terms with the rhythms of women’s lives means coming to terms with life itself, accepting the imperatives of the body rather than the imperatives of an artificial, man-made, perhaps transcendentally beautiful civilization. Emphasis on the male work-rhythm is an emphasis on infinite possibilities; emphasis on the female rhythms is an emphasis on a defined pattern, on limitation.”
—Margaret Mead (1901–1978)
“I set forth a humble and inglorious life; that does not matter. You can tie up all moral philosophy with a common and private life just as well as with a life of richer stuff. Each man bears the entire form of man’s estate.”
—Michel de Montaigne (1533–1592)