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Category theory in physics, mathematics, and philosophy. Proceedings of the conference “Category Theory in Physics, Mathematics and Philosophy”, Warsaw, Poland, November 16–17, 2017. (English) Zbl 1429.18001

Springer Proceedings in Physics 235. Cham: Springer; Warsaw: International Center for Formal Ontology (ISBN 978-3-030-30895-7/hbk; 978-3-030-30896-4/ebook). xii, 134 p. (2019).

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Publisher’s description: 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Kuś, Marek; Skowron, Bartłomiej; Wójtowicz, Krzysztof, Why categories?, 1-19 [Zbl 1442.00007]
Król, Zbigniew, Category theory and philosophy, 21-32 [Zbl 1442.00006]
Wójtowicz, Krzysztof, Are there category-theoretical explanations of physical phenomena?, 33-43 [Zbl 1442.00010]
Lubacz, Józef, The application of category theory to epistemic and poietic processes, 45-53 [Zbl 1442.00008]
Semadeni, Zbigniew, Asymmetry of Cantorian mathematics from a categorial standpoint: is it related to the direction of time?, 55-62 [Zbl 1442.00009]
Dewar, Neil; Fletcher, Samuel C.; Hudetz, Laurenz, Extending List’s levels, 63-81 [Zbl 1436.03033]
Bielas, Krzysztof; Król, Jerzy, From quantum-mechanical lattice of projections to smooth structure of \(\mathbb{R}^4\), 83-93 [Zbl 1442.81004]
Heller, Michael; Król, Jerzy, Beyond the space-time boundary, 95-103 [Zbl 1442.83008]
Król, Jerzy, Aspects of perturbative quantum gravity on synthetic spacetimes, 105-117 [Zbl 1442.81048]
Nop, G. N.; Romanowska, A. B.; Smith, J. D. H., Category theory as a foundation for the concept analysis of complex systems and time series, 119-134 [Zbl 1454.06003]

MSC:

18-06 Proceedings, conferences, collections, etc. pertaining to category theory
81-06 Proceedings, conferences, collections, etc. pertaining to quantum theory
00B25 Proceedings of conferences of miscellaneous specific interest
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