Set Theory and Logic

A Primitive Notion Versus the Non-Archimedean Paradigm: Introducing Homogeneous Infinitesimals

Authors: J. P. Baugher
Comments: 19 Pages.

Infinitesimals have long been considered to be non-Archimedean, in that any number times an infinitesimal cannot equate to a large real number. In this paper I present a proof by contradiction that infinitesimals, if defined as homogeneous, can falsify this claim.
Category: Set Theory and Logic