Category Theory in Physics, Mathematics, and Philosophy

Category Theory in Physics, Mathematics, and Philosophy edited by Marek Kuś, Bartłomiej Skowron.

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...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Kuś, Marek (Editor), Skowron, Bartłomiej (Editor)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
Edition:1st ed. 2019.
Series:Springer Proceedings in Physics, 235
Springer eBook Collection.
Subjects:
Physics.
Category theory (Mathematics).
Homological algebra.
Mathematics—Philosophy.
Quantum physics.
Mathematical physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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