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:
“What means the fact—which is so common, so universal—that some soul that has lost all hope for itself can inspire in another listening soul an infinite confidence in it, even while it is expressing its despair?”
—Henry David Thoreau (1817–1862)
“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)