Role of Multipticity for Emergence and Anticipation in Memory Evolutive Systems. An example in Art

Memory Evolutive Systems (MES) give a frame, based on a 'dynamic' category theory, for studying natural evolutionary systems with an intermingled hierarchy of components varying over time, in which processes of higher complexity, up to intentionality, can emerge. They are also able to act as Dubois' internalist and strongly anticipatory systems (Dubois, 1998, 2001). We prove that the possibility of emergence and of anticipation both depend upon a kind of "degeneracy property" (as defined by Edelman (1989)) which we call the Multiplicity Principle MP. It says that there are functionally equivalent patterns which are not structurally isomorphic or interconnected by a cluster (more precisely : not isomorphic as Ind-objects (Ehresmann & Vanbremeersch, 2007). An application is given to the emergence of a new artistic current (e.g. Cubism) in the MES representing the Art world.