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Category Theory in Physics, Mathematics, and Philosophy

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Category Theory in Physics, Mathematics, and Philosophy/ edited by Marek Kuś, Bartłomiej Skowron.
other author:	Kuś, Marek.
Description:	XII, 134 p. 3 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Physics. -
Online resource:	https://doi.org/10.1007/978-3-030-30896-4
ISBN:	9783030308964

Category Theory in Physics, Mathematics, and Philosophy
Category Theory in Physics, Mathematics, and Philosophy[electronic resource] /edited by Marek Kuś, Bartłomiej Skowron. - 1st ed. 2019. - XII, 134 p. 3 illus., 1 illus. in color.online resource. - Springer Proceedings in Physics,2350930-8989 ;. - Springer Proceedings in Physics,171.

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.

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.

ISBN: 9783030308964

Standard No.: 10.1007/978-3-030-30896-4doiSubjects--Topical Terms:

564049
Physics.

LC Class. No.: QC5.53

Dewey Class. No.: 530.15

Category Theory in Physics, Mathematics, and Philosophy
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