The Mathematical Representation of Physical Reality

The growth of mathematics in the physical sciences is discussed in this book, which is separated into two sections. The first section describes how mathematics was initially used in physics and the objections that were raised against it, while the second section takes a more philosophical approach and examines the argument for and against the use of mathematics in the physical sciences. It also discusses Schopenhauer's ideas of causality and matter and whether the effectiveness of mathematics can be explained by its "existence" in an independent platonic realm.

Format: Hardback
Length: 155 pages
Publication date: 07 March 2023
Publisher: Springer International Publishing AG

This comprehensive work delves into the captivating journey of mathematics' evolution within the realm of physical sciences, spanning from the pioneering works of Galileo and Newton to the present day. It is meticulously divided into two distinct parts, each offering a unique perspective. The first part provides a concise historical account of how mathematics was initially integrated into physics, despite its initially perceived ineffectiveness, as famously highlighted by a renowned physicist. This section also explores the critical critiques that mathematics faced from earlier thinkers.

The second part takes a more philosophical approach, aiming to unravel the enigmatic effectiveness of mathematics in the physical sciences. To achieve this, the author delves into a critical examination of the ongoing debate between classical philosophers concerning the existence of innate ideas that enable us to comprehend the world. Additionally, the book explores the philosophically grounded arguments for and against the utilization of mathematics in the pursuit of scientific understanding. In this context, Schopenhauer's conceptions of causality and matter take center stage, and their validity is reassessed in the light of modern physics.

The final question addressed in the book is whether the effectiveness of mathematics can be solely attributed to its existence in an independent platonic realm, as proposed by Gödel. This thought-provoking inquiry seeks to unravel the intricate relationship between mathematics and the physical world, offering valuable insights to readers with a deep interest in the history and philosophy of physics. Whether you possess a basic or professional understanding of physics, this book provides an accessible and engaging exploration of the profound interplay between mathematics and the sciences.

Weight: 430g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031212536
Edition number: 1st ed. 2023