Integers

Definition: An integer is a number that can be written without a fractionl component. The set of integers is denoted by $\mathbb{Z}$. Further, if $n$ is an integer, then $n^+$ (or the successor of $n$, eg. $0^+ = 1$, $1^+ = 2$) is also an integer. Similarly, if $n$ is an integer, then $n^-$ is also an integer.