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:
“Hath not the morning dawned with added light?
And shall not evening call another star
Out of the infinite regions of the night,
To mark this day in Heaven? At last, we are
A nation among nations; and the world
Shall soon behold in many a distant port
Another flag unfurled!”
—Henry Timrod (1828–1867)
“There is no intrinsic worth in money but what is alterable with the times, and whether a guinea goes for twenty pounds or for a shilling, it is ... the labour of the poor and not the high and low value that is set on gold or silver, which all the comforts of life must arise from.”
—Bernard Mandeville (1670–1733)