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The Mathematical Representation of Physical Reality
Buch von Shahen Hacyan
Sprache: Englisch

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Beschreibung
¿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.
¿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.
Über den Autor

Shahen Hacyan studied Physics (1965-1968) at the National Autonomous University of Mexico (UNAM) and obtained a Ph.D. in Theoretical Physics in 1972 at the University of Sussex, UK. After returning to Mexico, he took up a position at the Institute of Astronomy, at UNAM. His fields of interest at that time were Relativistic Astrophysics, General Relativity and Cosmology. In 1990, he moved to the Institute of Physics, also at UNAM, and worked on Quantum Field Theory and Quantum Optics, as well as delving into philosophical aspects of Physics. Prof. Hacyan is currently Investigador Titular C (equivalent to Full Professor) at UNAM.

Shahen Hacyan has published more than 90 scientific papers in respected international journals such as Physical Reviews, Astrophysical Journal, Journal of Mathematical Physics. He has also been very active as Popularizer of science in Mexico, having published 11 popular science books, 9 of them with Fondo de Cultura Económica (FCE), the main editorial house in Mexico.

From 1994 to 2009, Prof. Hacyan was in charge of a weekly newspaper column on popular science, Aleph Cero, in one of the main Mexican newspapers, Reforma. There he published more than 600 articles on popular science.

His 11 books on popular science span all of theoretical physics and beyond, addressing Cosmology, Black Holes, Relativity, the Quantum World and the Universe, Interstellar Travels, Quantum Mechanics and Gravitational Waves. In 2004, again with FCE, he also published a book about the philosophy of Physics, Física y Metafísica del Espacio y el Tiempo (Physics and metaphysics of space and time).

Zusammenfassung

Recounts the unreasonable and unexpected irruption of mathematics in the physical sciences

Explores mysterious and apparently unlimited effectiveness of mathematics in physics

Revisits the debate on innate ideas in the context of theoretical physics

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2023
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
Seiten: 172
Reihe: The Frontiers Collection
Inhalt: xiii
155 S.
2 s/w Illustr.
155 p. 2 illus.
ISBN-13: 9783031212536
ISBN-10: 3031212533
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hacyan, Shahen
Auflage: 2023
Hersteller: Springer Nature Switzerland
Springer International Publishing AG
The Frontiers Collection
Maße: 241 x 160 x 16 mm
Von/Mit: Shahen Hacyan
Erscheinungsdatum: 07.03.2023
Gewicht: 0,43 kg
preigu-id: 125728281
Über den Autor

Shahen Hacyan studied Physics (1965-1968) at the National Autonomous University of Mexico (UNAM) and obtained a Ph.D. in Theoretical Physics in 1972 at the University of Sussex, UK. After returning to Mexico, he took up a position at the Institute of Astronomy, at UNAM. His fields of interest at that time were Relativistic Astrophysics, General Relativity and Cosmology. In 1990, he moved to the Institute of Physics, also at UNAM, and worked on Quantum Field Theory and Quantum Optics, as well as delving into philosophical aspects of Physics. Prof. Hacyan is currently Investigador Titular C (equivalent to Full Professor) at UNAM.

Shahen Hacyan has published more than 90 scientific papers in respected international journals such as Physical Reviews, Astrophysical Journal, Journal of Mathematical Physics. He has also been very active as Popularizer of science in Mexico, having published 11 popular science books, 9 of them with Fondo de Cultura Económica (FCE), the main editorial house in Mexico.

From 1994 to 2009, Prof. Hacyan was in charge of a weekly newspaper column on popular science, Aleph Cero, in one of the main Mexican newspapers, Reforma. There he published more than 600 articles on popular science.

His 11 books on popular science span all of theoretical physics and beyond, addressing Cosmology, Black Holes, Relativity, the Quantum World and the Universe, Interstellar Travels, Quantum Mechanics and Gravitational Waves. In 2004, again with FCE, he also published a book about the philosophy of Physics, Física y Metafísica del Espacio y el Tiempo (Physics and metaphysics of space and time).

Zusammenfassung

Recounts the unreasonable and unexpected irruption of mathematics in the physical sciences

Explores mysterious and apparently unlimited effectiveness of mathematics in physics

Revisits the debate on innate ideas in the context of theoretical physics

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2023
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
Seiten: 172
Reihe: The Frontiers Collection
Inhalt: xiii
155 S.
2 s/w Illustr.
155 p. 2 illus.
ISBN-13: 9783031212536
ISBN-10: 3031212533
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hacyan, Shahen
Auflage: 2023
Hersteller: Springer Nature Switzerland
Springer International Publishing AG
The Frontiers Collection
Maße: 241 x 160 x 16 mm
Von/Mit: Shahen Hacyan
Erscheinungsdatum: 07.03.2023
Gewicht: 0,43 kg
preigu-id: 125728281
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