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 human mind] finds more facility in assenting to the self-existence of an invisible cause possessing infinite power, wisdom, and goodness, than in the self-existence of the universe, visibly destitute of these attributes, and which may be the effect of them.”
—James Madison (1751–1836)
“One reason writers write is out of revenge. Life hurts; certain ideas and experiences hurt; one wants to clarify, to set out illuminations, to replay the old bad scenes and get the Treppenworte said—the words one didn’t have the strength or ripeness to say when those words were necessary for one’s dignity or survival.”
—Cynthia Ozick (b. 1928)