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:
“Mary McDonald, you giggled as you passed—
I wondered what the boy with hairy chest
Carved on the wall of his inexpensive spirit
Memorial to your infinite unrest.”
—Allen Tate (1899–1979)
“The cunningest dissimulation is when a man pretends to be caught in the traps others set for him; and a man is never so easily over-reached as when he is contriving to over-reach others.”
—François, Duc De La Rochefoucauld (1613–1680)