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:
“And universal Nature, through her vast
And crowded whole, an infinite paroquet,
Repeats one note.”
—Ralph Waldo Emerson (1803–1882)
“He turns agen and drives the noisy crowd
And beats the dogs in noises loud.
He drives away and beats them every one,
And then they loose them all and set them on.
He falls as dead and kicked by boys and men,
Then starts and grins and drives the crowd agen;
Till kicked and torn and beaten out he lies
And leaves his hold and cackles, groans, and dies.”
—John Clare (1793–1864)