On Comparison, Equivalence and Addition of Magnitudes

Abstract

A theory of magnitudes involves criteria for their comparison, equivalence and addition. We examine these aspects from an abstract viewpoint, stressing independence and definability. These considerations are triggered by the so-called De Zolt’s principle in the theory of equivalence of plane polygons.

Keywords

• theory of magnitudes
• independence
• definability
• geometry
• de zolt’s principle