A look at metrics and norms through the Lukasiewicz logic

It appears that the roots of notions and constructions are just in many-valued logics rather than in the classical two-valued logic, especially through the infinite-valued Lukasiewicz logic.

Abstract

ABSTRACT In this paper we look, at metrics and norms through many-valued logics, especially through the infinite-valued Lukasiewicz logic. It appears that the roots of those notions and constructions are just in many-valued logics rather than in the classical two-valued logic. This fact and some interpretations following therefrom can stimulate new approaches and ideas in the area of applied mathematics and applications of mathematics.