Skip to content
Archimedean property

File:01_Archimedisches_Axiom.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ634579· pop 41· linked from 101 articles

Archimedean property

Sign in to save

the absence of infinitesimals in a mathematical system

~15 min read

Encyclopedic overview

Illustration of the Archimedean property. In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some algebraic structures, such as ordered or normed groups, and fields. The property, as typically construed, states that given two positive numbers

x

Excerpted from Wikipedia’s “Archimedean property” article, available under the CC BY-SA 4.0 licence.