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The Mathematical Representation of Physical Reality

The Mathematical Representation of Physical Reality

Hardcover

Series: Frontiers Collection

Astronomy & SpaceGeneral MathematicsPhysics

ISBN10: 3031212533
ISBN13: 9783031212536
Publisher: Springer Nature
Published: Mar 7 2023
Pages: 155
Weight: 0.92
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English

​This book deals with the rise of mathematics in physical sciences, beginning with Galileo and Newton and extending to the present day. The book is divided into two parts. The first part gives a brief history of how mathematics was introduced into physics--despite its unreasonable effectiveness as famously pointed out by a distinguished physicist--and the criticisms it received from earlier thinkers. The second part takes a more philosophical approach and is intended to shed some light on that mysterious effectiveness. For this purpose, the author reviews the debate between classical philosophers on the existence of innate ideas that allow us to understand the world and also the philosophically based arguments for and against the use of mathematics in physical sciences. In this context, Schopenhauer's conceptions of causality and matter are very pertinent, and their validity is revisited in light of modern physics. The final question addressed is whether the effectiveness of mathematics can be explained by its existence in an independent platonic realm, as Gödel believed.

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Physics