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Author: Roger B. Angel
Publisher: Elsevier
ISBN: 1483139263
Size: 66.23 MB
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Relativity: The Theory and its Philosophy provides a completely self-contained treatment of the philosophical foundations of the theory of relativity. It also surveys the most essential mathematical techniques and concepts that are indispensable to an understanding of the foundations of both the special and general theories of relativity. In short, the book includes a crash course in applied mathematics, ranging from elementary trigonometry to the classical tensor calculus. Comprised of 11 chapters, this book begins with an introduction to fundamental mathematical concepts such as sets, relations, and functions; N-tuples, vectors, and matrices; and vector algebra and calculus. The discussion then turns to the concept of relativity and elementary foundations of Newtonian mechanics, as well as the principle of special relativity and its philosophical interpretation by means of empiricism and rationalism. Subsequent chapters focus on the status of the doctrine of conventionalism in the theory of special relativity; the commensurability of classical and relativistic mechanics; mathematical foundations of special relativistic physics; and the classical or Newtonian theory of gravitation. The principle of general covariance and its relation to the principle of general relativity are also examined. The final chapter addresses the fundamental question as to the actual information concerning the structure of spacetime that is conveyed to us through the theory of general relativity. This monograph will be of interest to students, teachers, practitioners, and researchers in physics, mathematics, and philosophy.

The Reign Of Relativity

Author: Thomas Ryckman
Publisher: Oxford University Press
ISBN: 9780198039372
Size: 38.35 MB
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Universally recognized as bringing about a revolutionary transformation of the notions of space, time, and motion in physics, Einstein's theory of gravitation, known as "general relativity," was also a defining event for 20th century philosophy of science. During the decisive first ten years of the theory's existence, two main tendencies dominated its philosophical reception. This book is an extended argument that the path actually taken, which became logical empiricist philosophy of science, greatly contributed to the current impasse over realism, whereas new possibilities are opened in revisiting and reviving the spirit of the more sophisticated tendency, a cluster of viewpoints broadly termed transcendental idealism, and furthering its articulation. It also emerges that Einstein, while paying lip service to the emerging philosophy of logical empiricism, ended up siding de facto with the latter tendency. Ryckman's work speaks to several groups, among them philosophers of science and historians of relativity. Equations are displayed as necessary, but Ryckman gives the non-mathematical reader enough background to understand their occurrence in the context of his wider philosophical project.

Time And The Metaphysics Of Relativity

Author: W.L. Craig
Publisher: Springer Science & Business Media
ISBN: 9401735328
Size: 78.58 MB
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The larger project of which this volume forms part is an attempt to craft a coherent doctrine of divine eternity and God's relationship to time. Central to this project is the integration of the concerns of theology with the concept of time in relativity theory. This volume provides an accessible and philosophically informed examination of the concept of time in relativity, the ultimate aim being the achievement of a tenable theological synthesis.

Philosophical Relativity

Author: Peter Unger
Publisher: Oxford University Press
ISBN: 9780198035442
Size: 39.49 MB
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In this short but meaty book, Peter Unger questions the objective answers that have been given to central problems in philosophy. As Unger hypothesizes, many of these problems are unanswerable, including the problems of knowledge and scepticism, the problems of free will, and problems of causation and explanation. In each case, he argues, we arrive at one answer only relative to an assumption about the meaning of key terms, terms like "know" and like "cause," even while we arrive at an opposite answer relative to quite different assumptions, but equally arbitrary assumptions, about what the key terms mean.

Relativity And Geometry

Author: Roberto Torretti
Publisher: Elsevier
ISBN: 1483147371
Size: 26.84 MB
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Relativity and Geometry aims to elucidate the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phases of relativity. The book contains seven chapters and a mathematical appendix. The first two chapters review a historical background of relativity. Chapter 3 centers on Einstein's first Relativity paper of 1905. Subsequent chapter presents the Minkowskian formulation of special relativity. Chapters 5 and 6 deal with Einstein's search for general relativity from 1907 to 1915, as well as some aspects and subsequent developments of the theory. The last chapter explores the concept of simultaneity, geometric conventionalism, and a few other questions concerning space time structure, causality, and time.

Substance And Function And Einstein S Theory Of Relativity

Author: Ernst Cassirer
Publisher: Courier Corporation
ISBN: 9780486495477
Size: 37.93 MB
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Double-volume work features the establishment of a general philosophical system in which Einstein's theory of relativity is regarded as the natural progression of the motives inherent to mathematics and the physical sciences. 1923 edition.

Foundations Of Space Time Theories

Author: Michael Friedman
Publisher: Princeton University Press
ISBN: 1400855128
Size: 16.77 MB
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This book, explores the conceptual foundations of Einstein's theory of relativity: the fascinating, yet tangled, web of philosophical, mathematical, and physical ideas that is the source of the theory's enduring philosophical interest. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

The Abc Of Relativity

Author: Bertrand Russell
Publisher: Lulu Press, Inc
ISBN: 1329946170
Size: 68.49 MB
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Bertrand Arthur William Russell,18 May 1872–2 February 1970) was a British philosopher, logician, mathematician, historian, writer, social critic and political activist. At various points in his life he considered himself a liberal, a socialist, and a pacifist. In the early 20th century, Russell led the British "revolt against idealism".He is considered one of the founders of analytic philosophy along with his predecessor Gottlob Frege, colleague G. E. Moore, and his protégé Ludwig Wittgenstein. He is widely held to be one of the 20th century's premier logicians.With A. N. Whitehead he wrote Principia Mathematica, an attempt to create a logical basis for mathematics. His philosophical essay "On Denoting" has been considered a "paradigm of philosophy". His work has had a considerable influence on logic, mathematics, set theory, linguistics, artificial intelligence, cognitive science, and philosophy, especially the philosophy of language, epistemology, and metaphysics.