Category Theory in Physics, Mathematics, and Philosophy

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Kuś, Marek (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Skowron, Bartłomiej (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Springer Proceedings in Physics, 235
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.