Abstract

This paper is an attempt to construct a bridge between dialectics and mathematics, to interpret main dialectical laws in terms of the theory of dynamical systems. Negation is interpreted as a discrete shift along the dynamical system trajectory. For conservative systems, double negation law is trivial as in formal logic; for non-conservative systems, this law means slow evolution of the system under consideration. There are also mathematical interpretations for the transition from quantity to quality and interconnection between opposites.