Category Theory in Physics, Mathematics, and Philosophy / / edited by Marek Kuś, Bartłomiej Skowron

• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
• Edizione: 1st ed. 2019.
• Descrizione fisica: 1 online resource (XII, 134 p. 3 illus., 1 illus. in color.)
• Disciplina: 530.15
• Soggetto topico: Physics; Category theory (Mathematics); Homological algebra; Mathematics—Philosophy; Quantum physics; Mathematical physics; Mathematical Methods in Physics; Category Theory, Homological Algebra; Philosophy of Mathematics; Quantum Physics; Mathematical Physics
• Persona (resp. second.): KuśMarek; SkowronBartłomiej
• Nota di contenuto: Introduction -- Why Categories? -- Category Theory and Philosophy -- Comments on: Category Theory and Philosophy by Zbigniew Krol -- Are There Category-Theoretical Explanations of Physical Phenomena? -- The Application of Category Theory to Epistemic and Poietic Processes -- Asymmetry of Cantorian Mathematics from a Categorial Standpoint: Is It Related to the Direction of Time? -- Extending List’s Levels -- From quantum-mechanical lattice of projections to smooth structure of R4 -- Beyond the Space-Time Boundary -- Aspects of Perturbative Quantum Gravity on Synthetic Spacetimes -- Category Theory as a Foundation for the Concept Analysis of Complex Systems and Time Series.
• Sommario/riassunto: The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science.
• Titolo autorizzato: Category Theory in Physics, Mathematics, and Philosophy
• ISBN: 3-030-30896-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910373934403321
• Lo trovi qui: Univ. Federico II
• Serie: Springer Proceedings in Physics, . 0930-8989 ; ; 235