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Record Nr. |
UNINA9910373934403321 |
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Titolo |
Category Theory in Physics, Mathematics, and Philosophy / / edited by Marek Kuś, Bartłomiej Skowron |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (XII, 134 p. 3 illus., 1 illus. in color.) |
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Collana |
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Springer Proceedings in Physics, , 0930-8989 ; ; 235 |
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Disciplina |
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Soggetti |
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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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. |
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