integer

The set of integers, usually denoted by \(\mathbb{Z}\) (from the German zahlen, “to count”), is the set of numbers that includes the natural numbers, with zero, and their negatives.

\[\mathbb{Z}=\{\ldots, -3, -2,-1,0,1,2,3,\ldots\}\]

Unlike the natural numbers the integers are not well-founded since any given subset may not have a least element.