The Mathematical Representation Of Physical Reality
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The Mathematical Representation Of Physical Reality
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Author : Shahen Hacyan
language : en
Publisher:
Release Date : 2023
The Mathematical Representation Of Physical Reality written by Shahen Hacyan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Mathematical logic categories.
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.
The Mathematical Representation Of Physical Reality
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Author : Shahen Hacyan
language : en
Publisher: Springer Nature
Release Date : 2023-03-06
The Mathematical Representation Of Physical Reality written by Shahen Hacyan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-06 with Science categories.
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.
Neo Aristotelian Perspectives On Contemporary Science
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Author : William M.R. Simpson
language : en
Publisher: Routledge
Release Date : 2017-10-19
Neo Aristotelian Perspectives On Contemporary Science written by William M.R. Simpson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Philosophy categories.
The last two decades have seen two significant trends emerging within the philosophy of science: the rapid development and focus on the philosophy of the specialised sciences, and a resurgence of Aristotelian metaphysics, much of which is concerned with the possibility of emergence, as well as the ontological status and indispensability of dispositions and powers in science. Despite these recent trends, few Aristotelian metaphysicians have engaged directly with the philosophy of the specialised sciences. Additionally, the relationship between fundamental Aristotelian concepts—such as "hylomorphism", "substance", and "faculties"—and contemporary science has yet to receive a critical and systematic treatment. Neo-Aristotelian Perspectives on Contemporary Science aims to fill this gap in the literature by bringing together essays on the relationship between Aristotelianism and science that cut across interdisciplinary boundaries. The chapters in this volume are divided into two main sections covering the philosophy of physics and the philosophy of the life sciences. Featuring original contributions from distinguished and early-career scholars, this book will be of interest to specialists in analytical metaphysics and the philosophy of science.
Logos And Alogon
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Author : Arkady Plotnitsky
language : en
Publisher: Springer Nature
Release Date : 2023-01-16
Logos And Alogon written by Arkady Plotnitsky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-16 with Mathematics categories.
This book is a philosophical study of mathematics, pursued by considering and relating two aspects of mathematical thinking and practice, especially in modern mathematics, which, having emerged around 1800, consolidated around 1900 and extends to our own time, while also tracing both aspects to earlier periods, beginning with the ancient Greek mathematics. The first aspect is conceptual, which characterizes mathematics as the invention of and working with concepts, rather than only by its logical nature. The second, Pythagorean, aspect is grounded, first, in the interplay of geometry and algebra in modern mathematics, and secondly, in the epistemologically most radical form of modern mathematics, designated in this study as radical Pythagorean mathematics. This form of mathematics is defined by the role of that which beyond the limits of thought in mathematical thinking, or in ancient Greek terms, used in the book’s title, an alogon in the logos of mathematics. The outcome of this investigation is a new philosophical and historical understanding of the nature of modern mathematics and mathematics in general. The book is addressed to mathematicians, mathematical physicists, and philosophers and historians of mathematics, and graduate students in these fields.
Confronting The Enigma Of Time
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Author : John R Fanchi
language : en
Publisher: World Scientific
Release Date : 2023-03-14
Confronting The Enigma Of Time written by John R Fanchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-14 with Science categories.
In Newton's classical mechanics, time played the role of a monotonically increasing evolution parameter. Einstein rejected the Newtonian concept and instead identified time as the fourth coordinate of a space-time four-vector. Today, scientists are considering different concepts of time as a means of resolving incompatibilities between relativity and quantum mechanics. Some view time as an emergent property of a system rather than a fundamental property, while others consider two temporal variables. The purpose of this book is to examine the role of time in modern physics so that the reader gains an increased awareness of time and its place in our understanding of nature.
Physics Structure And Reality
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Author : Jill North
language : en
Publisher: Oxford University Press
Release Date : 2021
Physics Structure And Reality written by Jill North and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Philosophy categories.
Jill North offers answers to questions at the heart of the project of interpreting physics. How do we figure out the nature of the world from a mathematically formulated theory? What do we infer about the world when a physical theory can be mathematically formulated in different ways? The notion of structure is crucial to North's answers.
The Structure And Interpretation Of Quantum Mechanics
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Author : R. I. G. Hughes
language : en
Publisher: Harvard University Press
Release Date : 1989
The Structure And Interpretation Of Quantum Mechanics written by R. I. G. Hughes and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Philosophy categories.
R. I. G. Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful. He goes on to show how the very suitability of Hilbert spaces for modeling the quantum world gives rise to deep problems of interpretation, and makes suggestions about how they can be overcome.
The Principles Of Quantum Theory From Planck S Quanta To The Higgs Boson
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Author : Arkady Plotnitsky
language : en
Publisher: Springer
Release Date : 2016-09-26
The Principles Of Quantum Theory From Planck S Quanta To The Higgs Boson written by Arkady Plotnitsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-26 with Science categories.
The book considers foundational thinking in quantum theory, focusing on the role the fundamental principles and principle thinking there, including thinking that leads to the invention of new principles, which is, the book contends, one of the ultimate achievements of theoretical thinking in physics and beyond. The focus on principles, prominent during the rise and in the immediate aftermath of quantum theory, has been uncommon in more recent discussions and debates concerning it. The book argues, however, that exploring the fundamental principles and principle thinking is exceptionally helpful in addressing the key issues at stake in quantum foundations and the seemingly interminable debates concerning them. Principle thinking led to major breakthroughs throughout the history of quantum theory, beginning with the old quantum theory and quantum mechanics, the first definitive quantum theory, which it remains within its proper (nonrelativistic) scope. It has, the book also argues, been equally important in quantum field theory, which has been the frontier of quantum theory for quite a while now, and more recently, in quantum information theory, where principle thinking was given new prominence. The approach allows the book to develop a new understanding of both the history and philosophy of quantum theory, from Planck’s quantum to the Higgs boson, and beyond, and of the thinking the key founding figures, such as Einstein, Bohr, Heisenberg, Schrödinger, and Dirac, as well as some among more recent theorists. The book also extensively considers the nature of quantum probability, and contains a new interpretation of quantum mechanics, “the statistical Copenhagen interpretation.” Overall, the book’s argument is guided by what Heisenberg called “the spirit of Copenhagen,” which is defined by three great divorces from the preceding foundational thinking in physics—reality from realism, probability from causality, and locality from relativity—and defined the fundamental principles of quantum theory accordingly.
Infinitesimal Differences
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Author : Ursula Goldenbaum
language : en
Publisher: Walter de Gruyter
Release Date : 2008-11-03
Infinitesimal Differences written by Ursula Goldenbaum and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-03 with Philosophy categories.
The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a frame of reference for the 17th century discussions of infinitesimals, that involved Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. Although the calculus was undoubtedly successful in mathematical practice, it remained controversial because its procedures seemed to lack an adequate metaphysical or methodological justification. The topic is also of philosophical interest, because Leibniz freely employed the language of infinitesimal quantities in the foundations of his dynamics and theory of forces. Thus, philosophical disputes over the Leibnizian science of bodies naturally involve questions about the nature of infinitesimals. The volume also includes newly discovered Leibnizian marginalia in the mathematical writings of Hobbes.
Newton S Scientific And Philosophical Legacy
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Author : Paul B. Scheurer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Newton S Scientific And Philosophical Legacy written by Paul B. Scheurer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with History categories.
This volume contains the Proceedings of the International Colloqui um "Newton's Scientific and Philosophical Legacy", that was held at the Catholic University of Nijmegen (The Netherlands) from June 9th to 12th 1987 to celebrate the Tercentenary of the publication of Newton's Philo sophiae Naturalis Principia Mathematica (1667). Although 1987 was a busy year for Newton scholars, we were happy that five of most prom inent among them were able to come to Nijmegen and speak on the vari ous aspects of Newton's thought. They are the Professors I. Bernard Cohen (Harvard), Gale Christianson (Indiana State), B.J. Dobbs (Northwestern), Richard H. Popkin (UCLA) and Mordechai Feingold (Boston University). No doubt, recent scholarship has put Newton's genius in a quite different perspective from the one that had come to make up what may be called Newtonian mythology. Although his achievements in the areas of mechanics, mathematics, and optics remain indisputed, Newton's scientific efforts were apparently entirely subordi nate to his religious beliefs. This volume has been divided into four parts, preceded by a Pream ble in which Prof. Christianson offers a vivid portrait of Newton as a per son. The first part deals with the science of Newton as he himself under stood that term. The second part considers the influence of Newton's work on later scientific developments. The third part deals primarily with the question of the methodological influence of Newton, and the last part with his more philosophical legacy. Two editorial remarks are due.