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Category theory in physics, mathemat...

Kus, Marek.

Category theory in physics, mathematics, and philosophy

Record Type:	Electronic resources : Monograph/item
Title/Author:	Category theory in physics, mathematics, and philosophyedited by Marek Kus, Bartlomiej Skowron.
other author:	Kus, Marek.
Published:	Cham :Springer International Publishing :2019.
Description:	xii, 134 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Categories (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-030-30896-4
ISBN:	9783030308964$q(electronic bk.)

Category theory in physics, mathematics, and philosophy
Category theory in physics, mathematics, and philosophy[electronic resource] /edited by Marek Kus, Bartlomiej Skowron. - Cham :Springer International Publishing :2019. - xii, 134 p. :ill., digital ;24 cm. - Springer proceedings in physics,v.2350930-8989 ;. - Springer proceedings in physics ;v. 98..

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$q(electronic bk.)

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

206297
Categories (Mathematics)

LC Class. No.: QA169 / .C37 2019

Dewey Class. No.: 512.62

Category theory in physics, mathematics, and philosophy
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505 0 $a 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.
520 $a 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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