The Mathematical Representation Of Physical Reality PDF Download
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| Author | : Shahen Hacyan |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2023 |
| Genre | : Mathematical logic |
| ISBN | : 9783031212550 |
Download The Mathematical Representation of Physical Reality Book in PDF, ePub and Kindle
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.
| Author | : Shahen Hacyan |
| Publisher | : Springer Nature |
| Total Pages | : 157 |
| Release | : 2023-03-06 |
| Genre | : Science |
| ISBN | : 3031212541 |
Download The Mathematical Representation of Physical Reality Book in PDF, ePub and Kindle
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.
| Author | : Alexander Unzicker |
| Publisher | : |
| Total Pages | : 222 |
| Release | : 2020-01-29 |
| Genre | : |
| ISBN | : |
Download The Mathematical Reality Book in PDF, ePub and Kindle
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.
| Author | : Hans Reichenbach |
| Publisher | : Full Circle |
| Total Pages | : 178 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : |
Download The Concept of Probability in the Mathematical Representation of Reality Book in PDF, ePub and Kindle
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.
| Author | : Jill North |
| Publisher | : Oxford University Press |
| Total Pages | : 263 |
| Release | : 2021 |
| Genre | : Philosophy |
| ISBN | : 0192894102 |
Download Physics, Structure, and Reality Book in PDF, ePub and Kindle
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.
| Author | : William M.R. Simpson |
| Publisher | : Routledge |
| Total Pages | : 352 |
| Release | : 2017-10-19 |
| Genre | : Philosophy |
| ISBN | : 1351813242 |
Download Neo-Aristotelian Perspectives on Contemporary Science Book in PDF, ePub and Kindle
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.
| Author | : Michael Spivak |
| Publisher | : |
| Total Pages | : 733 |
| Release | : 2010 |
| Genre | : Mechanics |
| ISBN | : 9780914098324 |
Download Physics for Mathematicians Book in PDF, ePub and Kindle
| Author | : Max Tegmark |
| Publisher | : Vintage |
| Total Pages | : 434 |
| Release | : 2015-02-03 |
| Genre | : Science |
| ISBN | : 0307744256 |
Download Our Mathematical Universe Book in PDF, ePub and Kindle
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
| Author | : Arkady Plotnitsky |
| Publisher | : Springer Nature |
| Total Pages | : 307 |
| Release | : 2023-01-16 |
| Genre | : Mathematics |
| ISBN | : 3031136780 |
Download Logos and Alogon Book in PDF, ePub and Kindle
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.
| Author | : John R Fanchi |
| Publisher | : World Scientific |
| Total Pages | : 266 |
| Release | : 2023-03-14 |
| Genre | : Science |
| ISBN | : 1800613202 |
Download Confronting The Enigma Of Time Book in PDF, ePub and Kindle
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.
