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An Essay on the Foundations of Geometry was first published in 1897 when Bertrand Russell was 25 years old. It marks his first major foray into analytic philosophy, a movement in which Russell is one of the founding members and figurehead. It provides a brilliant insight into Russell's early philosophical thought and an engaging and authoritative introduction to the philosophical and logical foundations of geometry - a version of which was fundamental to Einstein's theory of relativity. Russell explores and introduces the concepts of geometry and their philosophical implications, including a historical overview of geometrical theory, making it an invaluable resource not only for students of philosophy but anyone interested in the origins of the thought of one of the twentieth century's most important and widely-read philosophers. This Routledge Classics edition includes a new Foreword by Michael Potter.
The author, a Nobel Laureate and one of the 20th century's most important logicians, asks and answers basic questions about the intersection of philosophy and higher mathematics. 1897 edition.
Excerpt from An Essay on the Foundations of Geometry My thanks are due to Mr G. F. Stout and Mr A. N. Whitehead for kindly reading my proofs, and helping me by many useful criticisms. To Mr Whitehead I owe, also, the inestimable assistance of constant criticism and suggestion throughout the course of construction, especially as regards the philosophical importance of projective Geometry. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.
Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This is the only English-language collection of these important papers, some of which are extremely hard to find. Contributors include Helmholtz, Klein, Clifford, Poincaré, and Cartan.
Détente or Destruction, 1955-57 continues publication of Routledge's multi-volume critical edition of Bertrand Russell's shorter writings. Between September 1955 and November 1957 Russell published some sixty-one articles, reviews, statements, contributions to books and letters to editors, over fifty of which are contained in this volume. The texts, several of them hitherto unpublished, reveal the deepening of Russell's commitment to the anti-nuclear struggle, upon which he embarked in the previous volume of Collected Papers (Man's Peril, 1954-55). Continuing with the theme of nuclear peril, this volume contains discussion of nuclear weapons, world peace, prospects for disarmament and British-Soviet friendship against the backdrop of the Cold War. One of the key papers in this volume is Russell's message to the inaugural conference of the Pugwash movement, which Russell was instrumental in launching and which became an influential, independent forum of East-West scientific cooperation and counsel on issues as an internationally agreed nuclear test-ban. In addition to the issues of war and peace, Russell, now in his eighties, continued to take an interest in a wide variety of themes. Russell not only addresses older controversies over nationalism and empire, religious belief and American civil liberties, he also confronts head-on the new and pressing matters of armed intervention in Hungary and Suez, and of the manufacture and testing of the British hydrogen bomb. This volume includes seven interviews ranging from East-West Relations after the Geneva conference to a Meeting with Russell.
College Geometry is divided into two parts. Part I is a sequel to basic high school geometry and introduces the reader to some of the important modern extensions of elementary geometry- extension that have largely entered into the mainstream of mathematics. Part II treats notions of geometric structure that arose with the non-Euclidean revolution in the first half of the nineteenth century.
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.