Category:Definitions/Infinitesimals

This category contains definitions related to Infinitesimals.
Related results can be found in Category:Infinitesimals.

Informal Definition

An infinitesimal is a mathematical object $\delta$ resembling a (real) number such that:

$(1): \quad \delta > 0$

$(2): \quad \forall x \in \R_{>0}: \delta < x$

That is, an infinitesimal is a (strictly) positive real number which is smaller than every other (strictly) positive real number.

Formal Definition

An infinitesimal is a variable whose limit is zero.