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:
“Let the will embrace the highest ideals freely and with infinite strength, but let action first take hold of what lies closest.”
—Franz Grillparzer (1791–1872)
“I never can hear a crowd of people singing and gesticulating, all together, at an Italian opera, without fancying myself at Athens, listening to that particular tragedy, by Sophocles, in which he introduces a full chorus of turkeys, who set about bewailing the death of Meleager.”
—Edgar Allan Poe (1809–1845)