http://popups.lib.uliege.be/1373-5411/index.php?id=1134 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=1171 This paper presents a synchronization-based, multi-process computational model of anticipatory systems called the Phase Web. It describes a self-organizing paradigm that explicitly recognizes and exploits the existence of a boundary between inside and outside, accepts and exploits intentionality, and uses explicit self-reference to describe eg. auto-poiesis. The model explicitly connects computation to a discrete Clifford algebraic formalization that is in turn extended into homology and co-homology, wherein the recursive nature of objects and boundaries becomes apparent and itself subject to hierarchical recursion. Topsy, a computer program embodying the Phase Web, is currently being readied for release. Fri, 05 Jul 2024 15:26:41 +0200 Tue, 08 Oct 2024 17:18:25 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1171 http://popups.lib.uliege.be/1373-5411/index.php?id=3205 Mathematics and physics are shown to have a symbiotic relationship as emergent aspects of a universal rewrite system. In addition to explaining the 'unreasonable effectiveness' of mathematics in physics and the 'unreasonable effectiveness' of physics in mathematics, this emergent nature of both subjects makes sense of the distinction between syntactic and semantic approaches to logical reasoning. The system is also shown to generate constraints on the kinds of mathematics and physics that are possible, explaining, in particular, why symmetry is so significant in the subjects' foundations, and specifying which symmetries are most significant, as well as indicating their points of origin. Quantum mechanics emerges from this structure in a very specific form which enables us to understand the origin of symmetry breaking in physics and many other aspects of fundamental physical theory. Gravity also has special characteristics which explain its uniqueness among the four physical forces. Wed, 11 Sep 2024 17:03:03 +0200 Tue, 08 Oct 2024 13:25:37 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3205 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=3538 This paper briefly reviews the concepts of observer and emergence as used in modern scientific disciplines. By using these concepts we outline the research devoted to modelling and managing behaviours of Collective Beings, emergent from the same agents simultaneously interacting in different ways. Collective Beings are systems in which each interacting component can simultaneously belong to different systems. The DYnamic uSAge of Models (DYSAM) is then introduced as a tool to model and manage Collective Beings, by using different disciplinary types and levels of description. Tue, 24 Sep 2024 11:16:50 +0200 Tue, 24 Sep 2024 11:16:58 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3538 http://popups.lib.uliege.be/1373-5411/index.php?id=2994 Consistent structure of a Hamiltonian dynamical system with constant energy is shown in terms of category theory. A colimit of the dynamical system corresponds to a set of pairs of an initial state and a final state. Expansion of the colimit based on a concept of internal measurement induces heterarchical structure in the dynamical system and derives interaction between the system and the other one. Dynamical change of potential functions derived from that expansion is relevant to a concept of emergence based on the viewpoint of the Hamiltonian system. Wed, 04 Sep 2024 09:24:35 +0200 Wed, 04 Sep 2024 09:24:55 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2994 http://popups.lib.uliege.be/1373-5411/index.php?id=2857 Nonlinear dynamical systems show some different motions such as periodic, chaotic or intermittent ones. On-off intermittency is aperiodic switching motion between laminar phases and burst phases. It is observed in critical points with blowout bifurcation. Occurrence of it is sensitive with respect to parameter shifts in conventional systems. In the present paper, an extended dynamical system with an interaction between a global structure and a local motion is proposed. This interaction means a reciprocal definition between a parameter and state variables. The reciprocal definition is induced from the concept of a generative pointer that suggests an extended subobject classifier. Ubiquitous on-off intermittency is observed for a wide range of parameter values when a generative pointer is applied to a Henon map. This fact implies robustness of on-off intermittency against parameter shifts. Tue, 03 Sep 2024 15:24:24 +0200 Tue, 03 Sep 2024 15:24:31 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2857 http://popups.lib.uliege.be/1373-5411/index.php?id=1132 In order to build adaptive artificial systems, we suggest a thesis about the adequacy of a system relative to its relationships with the environment. We can tell it in this way: "Any system having a cooperative internal medium is functionally adequate". In our learning method, a global function emerges from the system unless this function is not explicity dictated in each of its component. In fact, each component is always looking for maintaining a cooperative situation with others components in the system. The originality of our method is its facility of implementation because it's totally independent of the application field. Another property is that our method allows to suppress the classical component of control : the cooperation permits it implicitly. Fri, 05 Jul 2024 14:19:11 +0200 Fri, 05 Jul 2024 14:19:21 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1132