\begin{definition}[Definition:Archimedean Property]
Let $\struct  {S, \circ}$ 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:
:$m \cdot a = \begin{cases}
a & : m = 1 \\
a \circ \paren {\paren {m - 1} \cdot a} & : m > 1 \end {cases}$
\end{definition}