Publication Details

Abstract

The paper is dedicated to the methodological analysis of Descarte’s method of transformation as a method of solving problems and of the idea of universalism — his thesis on the existence of the global method of investigating the world. It is shown by examples from the history of mathematics how Descarte’s method of semantical transformation led into the discovery of analytic geometry and resulted in the discovery of structural morphism and isomorphism, represented by theories of geometrical and algebraic structures.