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The Digital and the Real Universe. Foundations of Natural Philosophy and Computational Physics

by Klaus Mainzer 1,2
1
Emeritus of Excellence, Technical University of Munich, Arcisstraße 21, 80 333 Munich, Germany
2
College of Fellows, Eberhard Karls University Tübingen, Geschwister-Scholl-Platz, 72074 Tübingen, Germany
Philosophies 2019, 4(1), 3; https://doi.org/10.3390/philosophies4010003
Received: 6 October 2018 / Revised: 18 December 2018 / Accepted: 20 December 2018 / Published: 3 January 2019
(This article belongs to the Special Issue Contemporary Natural Philosophy and Philosophies - Part 1)
In the age of digitization, the world seems to be reducible to a digital computer. However, mathematically, modern quantum field theories do not only depend on discrete, but also continuous concepts. Ancient debates in natural philosophy on atomism versus the continuum are deeply involved in modern research on digital and computational physics. This example underlines that modern physics, in the tradition of Newton’s Principia Mathematica Philosophiae Naturalis, is a further development of natural philosophy with the rigorous methods of mathematics, measuring, and computing. We consider fundamental concepts of natural philosophy with mathematical and computational methods and ask for their ontological and epistemic status. The following article refers to the author’s book, “The Digital and the Real World. Computational Foundations of Mathematics, Science, Technology, and Philosophy.” View Full-Text
Keywords: digitization; computability; complexity; reverse mathematics; quantum computing; real computing; theory of everything digitization; computability; complexity; reverse mathematics; quantum computing; real computing; theory of everything
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Mainzer, K. The Digital and the Real Universe. Foundations of Natural Philosophy and Computational Physics. Philosophies 2019, 4, 3.

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