Richard's Paradox (artistic-philosophical-mathematical connections)

Abstract

To explore the articulations that cross the fields of philosophy, arts and mathematics, we assume that these fields follow the modes of thought inscribed in a place and in a time, and are therefore historically constructed. We focus on the concept of representation and its various perceptions over the first three decades of the twentieth century, in Europe or Brazil. We analyse from Richard's Paradox, a statement formulated by the field of mathematics, but involving other fields, generating clear implications. This paradox instigated modes of thought (new understandings concerning representations) and practical achievements (central concept in the computer conception). Our ambition is to understand common processes (as the of representation) for knowledge territories pointed out above: this problem concerns contemporary ruptures that seem to resize the episteme/poiesis relationship.