Springer Proceedings in Physics

Category Theory in Physics, Mathematics, and Philosophy

Editors: Kuś, Marek, Skowron, Bartłomiej (Eds.)

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  • Shows that the categorical ontology could serve as a basis for bonding mathematics, physics, and philosophy

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eBook $139.00
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  • ISBN 978-3-030-30896-4
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  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-030-30895-7
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  • Usually dispatched within 3 to 5 business days.
About this book

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. 

About the authors

Dr. Bartłomiej Skowron is a Platonic philosopher. He wrote his Ph.D. thesis on Mereotopological aspects of philosophical part-whole theory at the University of Wroclaw, and defended his thesis in 2012. He received also BA in Mathematics from the University of Wroclaw, Faculty of Mathematics and Computer Science, in 2011. From October2015, he is an assistant professor at the Faculty of Administration and Social Sciences at the Warsaw University of Technology. He is a member of the International Center for Formal Ontology and the Academyof Young Scholars and Artists. He served as a President of theAcademy 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 applied topology.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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-030-30896-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-030-30895-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Category Theory in Physics, Mathematics, and Philosophy
Editors
  • Marek Kuś
  • Bartłomiej Skowron
Series Title
Springer Proceedings in Physics
Series Volume
235
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-30896-4
DOI
10.1007/978-3-030-30896-4
Hardcover ISBN
978-3-030-30895-7
Series ISSN
0930-8989
Edition Number
1
Number of Pages
XII, 134
Number of Illustrations
2 b/w illustrations, 1 illustrations in colour
Topics