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:
“We know that every person who is loved feels transformed, unfolded, and he unfolds everything, the most intimate as well as the most familiar, to the one who loves him as well as to himself.... The person one loves is as ungraspable as the universe, as God’s infinite space, he is boundless, full of possibilities, full of secrets.”
—Max Frisch (1911–1991)
“The poverty of our century is unlike that of any other. It is not, as poverty was before, the result of natural scarcity, but of a set of priorities imposed upon the rest of the world by the rich. Consequently, the modern poor are not pitied ... but written off as trash. The twentieth-century consumer economy has produced the first culture for which a beggar is a reminder of nothing.”
—John Berger (b. 1926)