DIEGO MANTOANELLI SILVA

Since the sistematization of geometry proposed by Euclid, two questions emerged and tried to be answered in history: how can we reach the principles of a geometric theory and how can a geometry be applicable to a concrete world of sensible experiences. From theses questions I try to offer an analysis of the relation beween the foundations of geometry and the knowledge of empirical reality by the description of two movements: one, ascendent, from the concrete - or no-linguistic - to the abstract - or linguistic; and other, descendent, that interpret parts of the reality with the abstract terms of a theory in order to create models that describe the empirical reality.