Category Theory in Physics, Mathematics, and Philosophy

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kuś, Marek (Editor, http://id.loc.gov/vocabulary/relators/edt), Skowron, Bartłomiej (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Proceedings in Physics, 235
• Subjects: Physics.; Category theory (Mathematics).; Homological algebra.; Mathematics-Philosophy.; Quantum physics.; Mathematical physics.; Mathematical Methods in Physics.; Category Theory, Homological Algebra.; Philosophy of Mathematics.; Quantum Physics.; Mathematical Physics.

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 ontolog...

Table of 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.