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Category Theory in Physics, Mathematics, and Philosophy

Medium: Buch
ISBN: 978-3-030-30895-7
Verlag: Springer International Publishing
Erscheinungstermin: 12.11.2019
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9783030308957
  • Medium: Buch
  • ISBN: 978-3-030-30895-7
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 12.11.2019
  • Sprache(n): Englisch
  • Auflage: 2019
  • Serie: Springer Proceedings in Physics
  • Produktform: Gebunden
  • Gewicht: 395 g
  • Seiten: 134
  • Format (B x H x T): 160 x 241 x 14 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Herausgeber

Introduction.- Why Categories?.- Category Theory and Philosophy.- Comments on: Category Theory and Philosophy by Zbigniew Krol.- Are There Category-Theoretical Explanations ofPhysical 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 Foundationfor the Concept Analysis of Complex Systems and Time Series.