http://popups.lib.uliege.be/1373-5411/index.php?id=2079 Publications of Auteurs Karl Erich Wolff fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=3403 This paper introduces a mathematical representation of the fundamental physical notions particles, waves, and Heisenberg's Uncertainty Relation in such a general way that neither Hilbert spaces nor the real or complex numbers are used. This new approach is based on the mathematical notion of a lattice as defined by Birkhoff (1940) who introduced lattices as a generalization of hierarchies in geometry, logic and algebra. In 1982 lattice theory has been connected by Wille (1982) with the philosophical construct of a concept using a mathematical definition of formal concepts and concept lattices. Formal Concept Analysis (FCA), the mathematical theory of concept lattices, was then used by the author to introduce Temporal Concept Analysis which is based on Conceptual Time Systems where the notion of a state is introduced as a formal concept. The conceptual definition of life tracks of objects led to a generalization of the formal representation of objects in Conceptual Semantic Systems where distributed objects yield a clear mathematical representation of the idea of a wave packet together with a definition of particles and waves. In this paper the author's previous definitions of particles and waves are extended, the notion of measurement is introduced and combined with the notion of a view and a (distributed) object to represent "how distributed" that object is represented by the measurement in the chosen view. That leads to a conceptual analogue of the notion of "simultaneously measurable" in Quantum Theory and to a conceptual analogue of Heisenberg's Uncertainty Relation. Wed, 18 Sep 2024 09:10:56 +0200 Wed, 18 Sep 2024 09:11:13 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3403 http://popups.lib.uliege.be/1373-5411/index.php?id=2408 This article is devoted to the ecological problems of our planet and the relationships between Life, Humanity and Earth. The three parts of the present appeal successively deal with the following parts of the tragedy: (i) the technological and economical aspects; (ii) the social and philosophical implications; (iii) the moral and spiritual messages. A new way of thinking about identification of correct behavior and management that would allow the living community to evolve towards a optimum future is sketched and the whole of the scientific community is invited to contribute out of conflicts of interest to fill the appeal with the wisdom that Science should be able to bestow to humanity, in conjunction with Arts and Philosophy whose contribution is emphasized. Tue, 20 Aug 2024 10:14:16 +0200 Thu, 10 Oct 2024 16:51:17 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2408 http://popups.lib.uliege.be/1373-5411/index.php?id=2074 Transitions have been studied in physics, mathematical system theory, automata theory, Petri nets, and many other theories - and they are always introduced with reference to the states of a given system. But usually the notion of 'state' is defined in an abstract way which is not related to a general formal notion of 'time' in the actual system description. That causes many problems in applications. By contrast, in this paper the author introduces transitions in conceptual time systems mainly as pairs of time objects. Then transitions between situations, states, time states, and phases can be induced easily. That leads to very effective temporal representations of processes, as demonstrated by, for example, applications in an air-conditioning plant. Mon, 29 Jul 2024 11:17:06 +0200 Mon, 29 Jul 2024 11:17:18 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2074