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Relativity

Author: Roger B. Angel
Publisher: Elsevier
ISBN: 1483139263
Size: 20.47 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.

Set Theory And Its Philosophy

Author: Michael Potter
Publisher: Clarendon Press
ISBN: 0191556432
Size: 71.74 MB
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Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.

Time And The Metaphysics Of Relativity

Author: W.L. Craig
Publisher: Springer Science & Business Media
ISBN: 9401735328
Size: 33.69 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.

The Reign Of Relativity

Author: Thomas Ryckman
Publisher: Oxford University Press
ISBN: 9780198039372
Size: 74.89 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.

Topics In The Foundations Of General Relativity And Newtonian Gravitation Theory

Author: David B. Malament
Publisher: University of Chicago Press
ISBN: 0226502473
Size: 25.88 MB
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In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.

From Physics To Philosophy

Author: Jeremy Butterfield
Publisher: Cambridge University Press
ISBN: 9780521660259
Size: 63.30 MB
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These essays by leading philosophers of physics offer philosophical perspectives on quantum theory and relativity.

Substance And Function And Einstein S Theory Of Relativity

Author: Ernst Cassirer
Publisher: Courier Corporation
ISBN: 9780486495477
Size: 31.27 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.

The Abc Of Relativity

Author: Bertrand Russell
Publisher: Lulu Press, Inc
ISBN: 1329946170
Size: 57.79 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.

The Special Theory Of Relativity

Author: David Bohm
Publisher: Routledge
ISBN: 1136747605
Size: 48.24 MB
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In these inspiring lectures David Bohm explores Albert Einstein’s celebrated Theory of Relativity that transformed forever the way we think about time and space. Yet for Bohm the implications of the theory were far more revolutionary both in scope and impact even than this. Stepping back from dense theoretical and scientific detail in this eye-opening work, Bohm describes how the notion of relativity strikes at the heart of our very conception of the universe, regardless of whether we are physicists or philosophers.