Application of mathematics to analyze classic science structures and impacts on didactics and education.

This paper deals with the use of mathematics as a tool of human mind to analyze structures. This idea is found to improve the didactic of mathematics by focusing on the application rather than on the theory. Mathematical applications dealing with current problems create motives for further study on the theory. A complete example on mathematical analysis of a philosophical structure is presented with beyond expectations results which may be used to provide foundations in education and most human sciences