The Mathematical Representation Of Physical Reality

Download The Mathematical Representation Of Physical Reality full books in PDF, epub, and Kindle. Read online The Mathematical Representation Of Physical Reality ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

The Mathematical Representation of Physical Reality

Author : Shahen Hacyan
Publisher : Springer Nature
ISBN 13 : 3031212541
Total Pages : 157 pages
Book Rating : 4.0/5 (312 download)

DOWNLOAD NOW!

Book Synopsis The Mathematical Representation of Physical Reality by : Shahen Hacyan

Download or read book The Mathematical Representation of Physical Reality written by Shahen Hacyan and published by Springer Nature. This book was released on 2023-03-06 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Concept of Probability in the Mathematical Representation of Reality

Author : Hans Reichenbach
Publisher : Full Circle
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis The Concept of Probability in the Mathematical Representation of Reality by : Hans Reichenbach

Download or read book The Concept of Probability in the Mathematical Representation of Reality written by Hans Reichenbach and published by Full Circle. This book was released on 2008 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first English translation of Hans Reichenbach's lucid doctoral thesis sheds new light on how Kant's Critique of Pure Reason was understood in some quarters at the time. The source of several themes in his still influential The Direction of Time, the thesis shows Reichenbach's early focus on the interdependence of physics, probability, and epistemology.

The Mathematical Reality

Author : Alexander Unzicker
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.6/5 (22 download)

DOWNLOAD NOW!

Book Synopsis The Mathematical Reality by : Alexander Unzicker

Download or read book The Mathematical Reality written by Alexander Unzicker and published by . This book was released on 2020-01-29 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alexander Unzicker is a theoretical physicist and writes about elementary questions of natural philosophy. His critique of contemporary physics Bankrupting Physics (Macmillan) received the 'Science Book of the Year' award (German edition 2010). With The Mathematical Reality, Unzicker presents his most fundamental work to date, which is the result of years of study of natural laws and their historical development.The discovery of fundamental laws of nature has influenced the fate of Homo sapiens more than anything else. Has modern physics already understood these laws? Many puzzles formulated by Albert Einstein or Paul Dirac are still unsolved today, in particular the meaning of fundamental constants. In this book, Unzicker contends that a rational description of nature must do without any constants.A methodological and historical analysis shows, however, that the underlying problem of physics is deep, unexpected and fatal: the concepts of space and time themselves, the basis of science since Newton, could be fundamentally inappropriate for the description of reality, although-or precisely because-they are so easily accessible to human perception.A new understanding of reality can only arise from mathematics. By exploring the three-dimensional unitary sphere, which could replace the concepts of space and time, the author presents a mathematical vision that points the way to a new understanding of reality.

Reconstructing Reality

Author : Margaret Morrison
Publisher :
ISBN 13 : 0199380279
Total Pages : 345 pages
Book Rating : 4.1/5 (993 download)

DOWNLOAD NOW!

Book Synopsis Reconstructing Reality by : Margaret Morrison

Download or read book Reconstructing Reality written by Margaret Morrison and published by . This book was released on 2015 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Attempts to understand various aspects of the empirical world often rely on modelling processes that involve a reconstruction of systems under investigation. Typically the reconstruction uses mathematical frameworks like gauge theory and renormalization group methods, but more recently simulations also have become an indispensable tool for investigation. This book is a philosophical examination of techniques and assumptions related to modelling and simulation with the goal of showing how these abstract descriptions can contribute to our understanding of the physical world. Particular issues include the role of fictional models in science, how mathematical formalisms can yield physical information, and how we should approach the use of inconsistent models for specific types of systems. It also addresses the role of simulation, specifically the conditions under which simulation can be seen as a technique for measurement, replacing more traditional experimental approaches. Inherent worries about the legitimacy of simulation "knowledge" are also addressed, including an analysis of verification and validation and the role of simulation data in the search for the Higgs boson. In light of the significant role played by simulation in the Large Hadron Collider experiments, it is argued that the traditional distinction between simulation and experiment is no longer applicable in some contexts of modern science. Consequently, a re-evaluation of the way and extent to which simulation delivers empirical knowledge is required. "This is a, lively, stimulating, and important book by one of the main scholars contributing to current topics and debates in our field. It will be a major resource for philosophers of science, their students, scientists interested in examining scientific practice, and the general scientifically literate public."-Bas van Fraassen, Distinguished Professor of Philosophy, San Francisco State University

Neo-Aristotelian Perspectives on Contemporary Science

Author : William M.R. Simpson
Publisher : Routledge
ISBN 13 : 1351813242
Total Pages : 352 pages
Book Rating : 4.3/5 (518 download)

DOWNLOAD NOW!

Book Synopsis Neo-Aristotelian Perspectives on Contemporary Science by : William M.R. Simpson

Download or read book Neo-Aristotelian Perspectives on Contemporary Science written by William M.R. Simpson and published by Routledge. This book was released on 2017-10-19 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Arkady Plotnitsky
Publisher : Springer Nature
ISBN 13 : 3031136780
Total Pages : 307 pages
Book Rating : 4.0/5 (311 download)

DOWNLOAD NOW!

Book Synopsis Logos and Alogon by : Arkady Plotnitsky

Download or read book Logos and Alogon written by Arkady Plotnitsky and published by Springer Nature. This book was released on 2023-01-16 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : John R Fanchi
Publisher : World Scientific
ISBN 13 : 1800613202
Total Pages : 266 pages
Book Rating : 4.8/5 (6 download)

DOWNLOAD NOW!

Book Synopsis Confronting The Enigma Of Time by : John R Fanchi

Download or read book Confronting The Enigma Of Time written by John R Fanchi and published by World Scientific. This book was released on 2023-03-14 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Jill North
Publisher : Oxford University Press
ISBN 13 : 0192894102
Total Pages : 263 pages
Book Rating : 4.1/5 (928 download)

DOWNLOAD NOW!

Book Synopsis Physics, Structure, and Reality by : Jill North

Download or read book Physics, Structure, and Reality written by Jill North and published by Oxford University Press. This book was released on 2021 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Physics, Structure, and Reality, Jill North addresses a set of questions that get to the heart of the project of interpreting physics--of figuring out what physics is telling us about the world. How do we figure out the nature of the world from a mathematically formulated physical theory? What do we infer about the world when a physical theory can be mathematically formulated in different ways? North argues that there is a certain notion of structure, implicit in physics and mathematics, to which we should pay careful attention in order to discern what physics is telling us about the nature of reality. North draws lessons for related topics, including the use of coordinate systems in physics, the differences among various formulations of classical mechanics, the nature of spacetime structure, the equivalence of physical theories, and the importance of scientific explanation. Although the book does not explicitly defend scientific realism, instead taking this to be a background assumption, the account provides an indirect case for realism toward our best theories of physics.

Mathematics and Reality

Author : Mary Leng
Publisher : OUP Oxford
ISBN 13 : 0191576247
Total Pages : 288 pages
Book Rating : 4.1/5 (915 download)

DOWNLOAD NOW!

Book Synopsis Mathematics and Reality by : Mary Leng

Download or read book Mathematics and Reality written by Mary Leng and published by OUP Oxford. This book was released on 2010-04-22 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mary Leng offers a defense of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects. Perhaps the most pressing challenge to mathematical fictionalism is the indispensability argument for the truth of our mathematical theories (and therefore for the existence of the mathematical objects posited by those theories). According to this argument, if we have reason to believe anything, we have reason to believe that the claims of our best empirical theories are (at least approximately) true. But since claims whose truth would require the existence of mathematical objects are indispensable in formulating our best empirical theories, it follows that we have good reason to believe in the mathematical objects posited by those mathematical theories used in empirical science, and therefore to believe that the mathematical theories utilized in empirical science are true. Previous responses to the indispensability argument have focussed on arguing that mathematical assumptions can be dispensed with in formulating our empirical theories. Leng, by contrast, offers an account of the role of mathematics in empirical science according to which the successful use of mathematics in formulating our empirical theories need not rely on the truth of the mathematics utilized.

Physics for Mathematicians

Author : Michael Spivak
Publisher :
ISBN 13 : 9780914098324
Total Pages : 733 pages
Book Rating : 4.0/5 (983 download)

DOWNLOAD NOW!

Book Synopsis Physics for Mathematicians by : Michael Spivak

Download or read book Physics for Mathematicians written by Michael Spivak and published by . This book was released on 2010 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Representation of Physical Reality

Author : Shahen Hacyan
Publisher :
ISBN 13 : 9783031212550
Total Pages : 0 pages
Book Rating : 4.2/5 (125 download)

DOWNLOAD NOW!

Book Synopsis The Mathematical Representation of Physical Reality by : Shahen Hacyan

Download or read book The Mathematical Representation of Physical Reality written by Shahen Hacyan and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Structure and Interpretation of Quantum Mechanics

Author : R. I. G. Hughes
Publisher : Harvard University Press
ISBN 13 : 9780674843929
Total Pages : 388 pages
Book Rating : 4.8/5 (439 download)

DOWNLOAD NOW!

Book Synopsis The Structure and Interpretation of Quantum Mechanics by : R. I. G. Hughes

Download or read book The Structure and Interpretation of Quantum Mechanics written by R. I. G. Hughes and published by Harvard University Press. This book was released on 1989 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important work provides an account of the philosophical foundations of quantum theory that should become a classic text for scientists and nonscientists alike. 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.

Physical Reality – Construction or Discovery?

Author : Michael Grodzicki
Publisher : Springer Nature
ISBN 13 : 3030745791
Total Pages : 333 pages
Book Rating : 4.0/5 (37 download)

DOWNLOAD NOW!

Book Synopsis Physical Reality – Construction or Discovery? by : Michael Grodzicki

Download or read book Physical Reality – Construction or Discovery? written by Michael Grodzicki and published by Springer Nature. This book was released on 2021-05-03 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a well-grounded account of the methodology of physics, the structure of physical knowledge and theories, and in particular of the relations between theory and experience. An important feature of the book is that all its essential conclusions are elucidated with the help of representative examples from theoretical, molecular and solid state physics. All young physicists as well as physics teachers will find here valuable insights into the philosophy and tools of their trade.

Physical Reality and Mathematical Description

Author : C.P. Enz
Publisher : Springer Science & Business Media
ISBN 13 : 9401022747
Total Pages : 568 pages
Book Rating : 4.4/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Physical Reality and Mathematical Description by : C.P. Enz

Download or read book Physical Reality and Mathematical Description written by C.P. Enz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays is intended as a tribute to Josef Maria Jauch on his sixtieth birthd~. Through his scientific work Jauch has justly earned an honored name in the community of theo retical physicists. Through his teaching and a long line of dis tinguished collaborators he has put an imprint on modern mathema tical physics. A number of Jauch's scientific collaborators, friends and admirers have contributed to this collection, and these essays reflect to some extent Jauch's own wide interests in the vast do main of theoretical physics. Josef Maria Jauch was born on 20 September 1914, the son of Josef Alois and Emma (nee Conti) Jauch, in Lucerne, Switzerland. Love of science was aroused in him early in his youth. At the age of twelve he came upon a popular book on astronomy, and an exam ple treated in this book mystified him. It was stated that if a planet travels around a centre of Newtonian attraction with a pe riod T, and if that planet were stopped and left to fall into the centre from any point of the circular orbit, it would arrive at the centre in the time T/I32. Young Josef puzzled about this for several months until he made his first scientific discovery : that this result could be derived from Kepler's third law in a quite elementary way.

The Road to Reality

Author : Roger Penrose
Publisher : Vintage
ISBN 13 : 0593315308
Total Pages : 1136 pages
Book Rating : 4.5/5 (933 download)

DOWNLOAD NOW!

Book Synopsis The Road to Reality by : Roger Penrose

Download or read book The Road to Reality written by Roger Penrose and published by Vintage. This book was released on 2021-06-09 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt: **WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin

The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson

Author : Arkady Plotnitsky
Publisher : Springer
ISBN 13 : 3319320688
Total Pages : 341 pages
Book Rating : 4.3/5 (193 download)

DOWNLOAD NOW!

Book Synopsis The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson by : Arkady Plotnitsky

Download or read book The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson written by Arkady Plotnitsky and published by Springer. This book was released on 2016-09-26 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Reality Without Realism

Author : Arkady Plotnitsky
Publisher : Springer Nature
ISBN 13 : 3030845788
Total Pages : 358 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!

Book Synopsis Reality Without Realism by : Arkady Plotnitsky

Download or read book Reality Without Realism written by Arkady Plotnitsky and published by Springer Nature. This book was released on 2022-01-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents quantum theory as a theory based on new relationships among matter, thought, and experimental technology, as against those previously found in physics, relationships that also redefine those between mathematics and physics in quantum theory. The argument of the book is based on its title concept, reality without realism (RWR), and in the corresponding view, the RWR view, of quantum theory. The book considers, from this perspective, the thinking of Bohr, Heisenberg, Schrödinger, and Dirac, with the aim of bringing together the philosophy and history of quantum theory. With quantum theory, the book argues, the architecture of thought in theoretical physics was radically changed by the irreducible role of experimental technology in the constitution of physical phenomena, accordingly, no longer defined independently by matter alone, as they were in classical physics or relativity. Or so it appeared. For, quantum theory, the book further argues, made us realize that experimental technology, beginning with that of our bodies, irreducibly shapes all physical phenomena, and thus makes us rethink the relationships among matter, thought, and technology in all of physics.