# Archimedean

From Conservapedia

A ring **R** is said to be **Archimedean** if the ring is ordered, has a metric and for all in **R**, x non-zero, there exists in the natural numbers such that . Here concatentation with denotes adding times. Informally, a ring is Archimedean if it has no infinitely small or infinitely large elements. Examples of Archimedean rings include the real numbers and the rational numbers. Examples of non-Archimedean are less simple.