Overview
- Shows that the categorical ontology could serve as a basis for bonding mathematics, physics, and philosophy
Part of the book series: Springer Proceedings in Physics (SPPHY, volume 235)
Included in the following conference series:
Conference proceedings info: CTPMP 2017.
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (10 papers)
Other volumes
-
Category Theory in Physics, Mathematics, and Philosophy
Keywords
About this book
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.
Editors and Affiliations
About the editors
Academy from 2013 to 2017. His main research interest is in Mathematical (especially Topological) Philosophy. He is laso interested in formal ontology (part-whole theory, mereotopology), phenomenology, philosophy of morality, axiology, philosophical anthropology, the basis and philosophy of mathematics, applied logic and appliedtopology.
He has edited or is currently editing 7 books. He is the author of over 30 original articles.
Prof. Dr. Marek Kus is a theoretical physicis, professor at the Centre of Theoretical Physics of the Polish Academy of Sciences in Warsaw, Director of the International Center for Formal Ontology at the Faculty of Administration and Social Sciences of the Warsaw University of Technology, member of Academia Europea. His scientific interests include:
mathematical physics, in particular the application of geometric and group-theoretic methods (simplectic geometry, algebraic geometry, Lie group theory) in quantum computer science, quantum chaos and the basics of quantum mechanics. He is also interested in formal methods in philosophy and the application of methods of exact sciences in social sciences. He is the author of over 150 original articles.
Bibliographic Information
Book Title: Category Theory in Physics, Mathematics, and Philosophy
Editors: Marek Kuś, Bartłomiej Skowron
Series Title: Springer Proceedings in Physics
DOI: https://doi.org/10.1007/978-3-030-30896-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-30895-7Published: 12 November 2019
Softcover ISBN: 978-3-030-30898-8Published: 12 November 2020
eBook ISBN: 978-3-030-30896-4Published: 11 November 2019
Series ISSN: 0930-8989
Series E-ISSN: 1867-4941
Edition Number: 1
Number of Pages: XII, 134
Number of Illustrations: 2 b/w illustrations, 1 illustrations in colour
Topics: Mathematical Methods in Physics, Category Theory, Homological Algebra, Philosophy of Mathematics, Quantum Physics, Mathematical Physics