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The mathematical representation of p...

Hacyan, Shahen.

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The mathematical representation of physical reality

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The mathematical representation of physical reality/ by Shahen Hacyan.
作者:	Hacyan, Shahen.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xiii, 155 p. :ill., digital ;24 cm.
內容註:	Introduction -- 1.Classical Period -- 2.Enlightenment -- 3.Electricity and Magnetism -- 4.Modern Physics: Relativity -- 5.Modern Physics: Quantum Mechanics -- 6.Quantum paradoxes -- 7.Quantum Mechanics and Relativity -- 8.Other (Mathematical) Worlds -- 9.Cosmology -- 10.For Mathematics -- 11.Against Mathematics -- 12.Programs of the Mind -- 13.Geometry a priori -- 14.Causality, Sufficient Reason and Determinism -- 15.Matter and Causality -- 16.Mathematics and Reality -- 17.Conclusions: Pythagoras'Dream.
Contained By:	Springer Nature eBook
標題:	Mathematical physics. -
電子資源:	https://doi.org/10.1007/978-3-031-21254-3
ISBN:	9783031212543

The mathematical representation of physical reality
Hacyan, Shahen.

The mathematical representation of physical reality[electronic resource] /by Shahen Hacyan. - Cham :Springer Nature Switzerland :2023. - xiii, 155 p. :ill., digital ;24 cm. - The frontiers collection,2197-6619. - Frontiers collection..

Introduction -- 1.Classical Period -- 2.Enlightenment -- 3.Electricity and Magnetism -- 4.Modern Physics: Relativity -- 5.Modern Physics: Quantum Mechanics -- 6.Quantum paradoxes -- 7.Quantum Mechanics and Relativity -- 8.Other (Mathematical) Worlds -- 9.Cosmology -- 10.For Mathematics -- 11.Against Mathematics -- 12.Programs of the Mind -- 13.Geometry a priori -- 14.Causality, Sufficient Reason and Determinism -- 15.Matter and Causality -- 16.Mathematics and Reality -- 17.Conclusions: Pythagoras'Dream.

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. The book aims at readers interested in the history and philosophy of physics. It is accessible to those with only a very basic (not professional) knowledge of physics.

ISBN: 9783031212543

Standard No.: 10.1007/978-3-031-21254-3doiSubjects--Topical Terms:

516853
Mathematical physics.

LC Class. No.: QC19.6

Dewey Class. No.: 530.15

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520 $a 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. The book aims at readers interested in the history and philosophy of physics. It is accessible to those with only a very basic (not professional) knowledge of physics.
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