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:
“It has no future but itself—
Its infinite contain
Its past—enlightened to perceive
New periods of pain.”
—Emily Dickinson (1830–1886)
“The love of truth, virtue, and the happiness of mankind are specious pretexts, but not the inward principles that set divines at work; else why should they affect to abuse human reason, to disparage natural religion, to traduce the philosophers as they universally do?”
—George Berkeley (1685–1753)