\begin{definition}[Definition:Non-Archimedean/Metric/Archimedean]
A metric is '''Archimedean''' {{iff}} it is not non-Archimedean.
That is, {{iff}}:
:$\exists x, y, z, \in X: \map d {x, y} > \max \set {\map d {x, z}, \map d {y, z} }$
\end{definition}