http://popups.lib.uliege.be/1373-5411/index.php?id=1758 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=3952 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. Tue, 01 Oct 2024 16:33:59 +0200 Tue, 01 Oct 2024 16:34:10 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3952 http://popups.lib.uliege.be/1373-5411/index.php?id=1757 Awareness of a conscious entity can exist without elements ; therefore, the general notion of an object of a category is employed. One of the characterization of understanding is : for a given local information (awareness) there exists a global information whose restriction is the given information. For such mental activities, category and sheaf theories are employed to formulate consciousness. We will show that the cohomology (more general precohomology) object, a subquotient object, better represents the essence of a conscious entity than an object itself. We will also give a definition of an observation to formulate the collapse of the wave and the wave properly. Tue, 16 Jul 2024 15:16:54 +0200 Tue, 16 Jul 2024 15:17:12 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1757