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:
“Age cannot wither her, nor custom stale
Her infinite variety. Other women cloy
The appetites they feed, but she makes hungry
Where most she satisfies.”
—William Shakespeare (1564–1616)
“Not until the advent of Impressionism does the repudiation of principles set in which opened the way for the burlesque parade of the fashionable and publicity-crazed modernities of our century.”
—Johan Huizinga (1872–1945)