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)
“But now I see I was not plucked for naught,
And after in life’s vase
Of glass set while I might survive,
But by a kind hand brought
Alive
To a strange place.”
—Henry David Thoreau (1817–1862)