Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’

Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’

Author: GARCIADIEGO

Publisher: Birkhäuser

Published: 2013-03-09

Total Pages: 286

ISBN-13: 3034874022

DOWNLOAD EBOOK

Xll Russell's published works include more than sixty books, several unpublished manuscripts, many hundreds of articles, dozens of radio and TV interviews and films, covering a wide spectrum of knowledge. His writings embrace discussions and analysis of such diverse topics as social sciences, foundations of mathematics, philosophy of physics, philosophy in general, religion, moral sciences, education, pacifism, natural sciences (including biology and physics), linguistics, statistics, probability, eco nomic theory, history, politics, international affairs and other topics. He corresponded with a large and diverse group of colleagues including both prominent and obscure figures in politics, the arts, humanities and scienc es. Russell's communication with his colleagues began in the late nine teenth century and was especially active through much of the twentieth century. In spite of being one of the most controversial public personali ties of his day (let us not forget that he went to prison twice, was dis missed from Cambridge University and was prevented from teaching at the College of the City of New York), his merits have been recognized and appreciated. He was awarded many medals, diplomas and honors, including the Nobel Prize for Literature in 1950.


One Hundred Years of Russell's Paradox

One Hundred Years of Russell's Paradox

Author: Godehard Link

Publisher: Walter de Gruyter

Published: 2004

Total Pages: 672

ISBN-13: 3110174383

DOWNLOAD EBOOK

The papers collected in this volume represent the main body of research arising from the International Munich Centenary Conference in 2001, which commemorated the discovery of the famous Russell Paradox a hundred years ago. The 31 contributions and the introductory essay by the editor were (with two exceptions) all originally written for the volume. The volume serves a twofold purpose, historical and systematic. One focus is on Bertrand Russell's logic and logical philosophy, taking into account the rich sources of the Russell Archives, many of which have become available only recently. The second equally important aim is to present original research in the broad range of foundational studies that draws on both current conceptions and recent technical advances in the above-mentioned fields. The volume contributes therefore, to the well-established body of mathematical philosophy initiated to a large extent by Russell's work.


Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’

Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’

Author: Alejandro Ricardo Garciadiego Dantan

Publisher: Birkhäuser

Published: 1992

Total Pages: 306

ISBN-13:

DOWNLOAD EBOOK

Xll Russell's published works include more than sixty books, several unpublished manuscripts, many hundreds of articles, dozens of radio and TV interviews and films, covering a wide spectrum of knowledge. His writings embrace discussions and analysis of such diverse topics as social sciences, foundations of mathematics, philosophy of physics, philosophy in general, religion, moral sciences, education, pacifism, natural sciences (including biology and physics), linguistics, statistics, probability, eco nomic theory, history, politics, international affairs and other topics. He corresponded with a large and diverse group of colleagues including both prominent and obscure figures in politics, the arts, humanities and scienc es. Russell's communication with his colleagues began in the late nine teenth century and was especially active through much of the twentieth century. In spite of being one of the most controversial public personali ties of his day (let us not forget that he went to prison twice, was dis missed from Cambridge University and was prevented from teaching at the College of the City of New York), his merits have been recognized and appreciated. He was awarded many medals, diplomas and honors, including the Nobel Prize for Literature in 1950.


Perspectives on the History of Mathematical Logic

Perspectives on the History of Mathematical Logic

Author: Thomas Drucker

Publisher: Springer Science & Business Media

Published: 2009-05-21

Total Pages: 218

ISBN-13: 0817647694

DOWNLOAD EBOOK

This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.


The Principles of Mathematics

The Principles of Mathematics

Author: Bertrand Russell

Publisher: W. W. Norton & Company

Published: 1996

Total Pages: 580

ISBN-13: 9780393314045

DOWNLOAD EBOOK

Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.


Incompleteness

Incompleteness

Author: Rebecca Goldstein

Publisher: W. W. Norton & Company

Published: 2006-01-31

Total Pages: 299

ISBN-13: 0393327604

DOWNLOAD EBOOK

"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.


The Search for Mathematical Roots, 1870-1940

The Search for Mathematical Roots, 1870-1940

Author: Ivor Grattan-Guinness

Publisher: Princeton University Press

Published: 2011-02-11

Total Pages: 705

ISBN-13: 1400824044

DOWNLOAD EBOOK

While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.