https://popups.uliege.be/3041-539x/index.php?id=1172 Index terms fr 0 https://popups.uliege.be/3041-539x/index.php?id=4486 This essay is a discussion of the concept of reflexivity and its relationships with Laws of Form, self-reference, re-entry, eigenform and the foundations of physics. Fri, 11 Oct 2024 16:03:20 +0200 Fri, 11 Oct 2024 16:03:28 +0200 https://popups.uliege.be/3041-539x/index.php?id=4486 https://popups.uliege.be/3041-539x/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 https://popups.uliege.be/3041-539x/index.php?id=1171 https://popups.uliege.be/3041-539x/index.php?id=2364 What we think is part of reality and at least partly determined by reality at the same time. The advent of knowledge engineering asks for a shift from lifeless representational and blind reductionist models towards a relational and teleological interpretation of cognition in order to embed the cognitive events in processes of meaning production or semeiosis. Such embedding is determined by the properties of perception (the senses) and the types of distinctions that can be made by semeiosis. The selection of elements in such processes that are formalizable asks for a model in which the phases that make up the process, the decision moments and their degrees of freedom ale clearly indicated. In this paper we will outline such a model for two levels : the level of sign recognition and the level of response to a sign. The decision moments will only be indicated. The practical importance of this structure lies in its potential to be interpreted as a methodolory for (formal) specification. Thu, 01 Aug 2024 15:34:54 +0200 Tue, 08 Oct 2024 15:04:46 +0200 https://popups.uliege.be/3041-539x/index.php?id=2364 https://popups.uliege.be/3041-539x/index.php?id=3512 The paper contains several results belonging to the theory of systems with infinite memory, using the differential calculus in locally convex spaces. These results are the following: the general constitutive functional can have, as a first approximation, an integral representation; the constitutive functional could be expressed by a double integral, so obtaining a better approximation; the speed of the present state modification is in a linear dependence on the history of the speed by which the inputs were changed, the whole time elapsed till the present moment; the state of the system in a next moment is obtained also by means of some formulae using the derivative of the constitutive functional; the problem of optimal control of the system evolution, formulated for this general functional representation, leads to the equations of the Calculus of Variations. Mon, 23 Sep 2024 14:54:11 +0200 Mon, 23 Sep 2024 14:54:20 +0200 https://popups.uliege.be/3041-539x/index.php?id=3512