Principio de Contrastibilidad, Geometr\'ia y Sistemas de Conocimiento

Abstract

There is a contemporary trend toward geometrizing all mathematical theories, as proposed by the Langlands program, and, by extension, physical theories as well. Within this paradigm, it becomes possible to represent physical objects as formal geometric entities. This opens the door within the framework of logical empiricism pragmatism and constructive realism to the development of a new philosophical approach grounded in a logical mathematical perspective. The aim is to integrate both the physics and metaphysics of the objects of the world into a unified system of knowledge, based on the geometric and physical interpretations of their mathematical representations. This article is presented as a foundational step in the development of that approach.