Definition:Archimedean Property

Definition
Let $\left({S, \circ}\right)$ be a closed algebraic structure on which there exists either an ordering or a norm.

Let $\cdot: \Z_{>0} \times S \to S$ be the operation defined as:
 * $m \cdot a = \begin{cases}

a & : m = 1 \\ a \circ \left({\left({m - 1}\right) \cdot a}\right) & : m > 1 \end {cases}$

Also see

 * Infinitesimal