http://popups.lib.uliege.be/1373-5411/index.php?id=703 Index terms fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=513 Thu, 27 Jun 2024 13:32:44 +0200 Thu, 10 Oct 2024 10:09:35 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=513 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=1056 Anticipation in music is analysed by presenting an inventory of the possibilities of musical anticipation together with a tentative discussion of the cognitive mechanisms that may give rise to them. The "logic" of the phenomenon is exposed, laying bare the interplay between prospective and retrospective elements, and arriving at three categories of anticipation. It is further argued that in order to come to terms with musical anticipation, one must take account of the fact that we engage with music in three different ways: listening, reading, and performing. Six different types of anticipation are then proposed in relation to four structural aspects that may govern musical apprehension - continuity, segmentation, hierarchy, and network. Finally some musical examples illustrating various kinds of anticipation are presented and commented upon. Thu, 04 Jul 2024 16:54:37 +0200 Mon, 07 Oct 2024 15:42:29 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1056 http://popups.lib.uliege.be/1373-5411/index.php?id=2842 We propose an algebraic description of emergence of new levels in trophic level networks. Trophic level networks are described by directed graphs. Their properties are surveyed in terms of an adjunction on a subcategory of the category of directed graphs. In particular, it is shown that trophic level networks are invariant under the composition of the right adjoin functor and the left adjoin functor. This invariance of trophic level networks can be broken by introducing the notion of time into the left adjoint functor. This leads to changes in trophic level networks. We show that the left adjoin functor consists of an intra-level process and an inter-level process. An inconsistency between them arises by the introduction of time. Negotiation between the intra-level process and the inter-level process can resolve the inconsistency at a level, however, a new inconsistency can arises at an emerged new level. Thus our algebraic description can follow indefinite development of trophic hierarchy. Tue, 03 Sep 2024 15:22:17 +0200 Tue, 03 Sep 2024 15:22:26 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2842