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Category Theory in Physics, Mathematics, and Philosophy / edited by Marek Kuś, Bartłomiej Skowron.
Connect to full text Available online
View online- Format:
- Book
- Series:
- Physics and Astronomy (Springer-11651)
- Springer proceedings in physics 0930-8989 ; 235.
- Springer Proceedings in Physics, 0930-8989 ; 235
- Language:
- English
- Subjects (All):
- Physics.
- Categories (Mathematics).
- Algebra, Homological.
- Mathematics--Philosophy.
- Mathematics.
- Quantum theory.
- Mathematical physics.
- Mathematical Methods in Physics.
- Category Theory, Homological Algebra.
- Philosophy of Mathematics.
- Quantum Physics.
- Mathematical Physics.
- Local Subjects:
- Mathematical Methods in Physics.
- Category Theory, Homological Algebra.
- Philosophy of Mathematics.
- Quantum Physics.
- Mathematical Physics.
- Physical Description:
- 1 online resource (XII, 134 pages) : 3 illustrations, 1 illustrations in color.
- Edition:
- First edition 2019.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2019.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-030-30896-4
- 9783030308964
- Access Restriction:
- Restricted for use by site license.
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