# 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.

Citation Info

- [MLA] “integer.”
*Platonic Realms Interactive Mathematics Encyclopedia.*Platonic Realms, 10 Apr 2014. Web. 17 Jul 2018. <http://platonicrealms.com/> - [APA] integer (10 Apr 2014). Retrieved 17 Jul 2018 from the
*Platonic Realms Interactive Mathematics Encyclopedia:*http://platonicrealms.com/encyclopedia/integer/