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:
“Gratiano speaks an infinite deal of nothing, more than any man in all Venice. His reasons are as two grains of wheat hid in two bushels of chaff; you shall seek all day ere you find them, and when you have them, they are not worth the search.”
—William Shakespeare (1564–1616)
“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)