Archimedes' Axiom
An Eudoxus 
(Boyer 1968) which states that
Iff the appropriate one of following conditions is satisfied for Integers
and 
:- 1. If
, then 
. - 2. If
, then 
. - 3. If
, then 
.
Archimedes' Lemma is sometimes also known as Archimedes' axiom.
References
Boyer, C. B. A History of Mathematics. New York: Wiley, p. 99, 1968.
- Index Set
- Index Theory
- Indicatrix
- Indicial Equation
- Indifference Principle
- Induced Map
- Induced Norm
- Induction
- Induction Axiom
- Induction Principle
- Inequality
- Inexact Differential
- Inf
- Infimum
- Infimum Limit
- Infinary Divisor
- Infinary Multiperfect Number
- Infinary Perfect Number
- Infinite
- Infinite Product
- Infinite Series
- Infinite Set
- Infinitesimal
- Infinitesimal Analysis
- Infinitesimal Matrix Change