Bertrand Russell And The Origin Of The Set Theoretic Paradoxes

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

Author : GARCIADIEGO
Publisher : Birkhäuser
ISBN 13 : 3034874022
Total Pages : 286 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’ by : GARCIADIEGO

Download or read book Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’ written by GARCIADIEGO and published by Birkhäuser. This book was released on 2013-03-09 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Xll Russell's published works include more than sixty books, several unpublished manuscripts, many hundreds of articles, dozens of radio and TV interviews and films, covering a wide spectrum of knowledge.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.

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

Author : Alejandro Ricardo Garciadiego Dantan
Publisher : Birkhäuser
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’ by : Alejandro Ricardo Garciadiego Dantan

Download or read book Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’ written by Alejandro Ricardo Garciadiego Dantan and published by Birkhäuser. This book was released on 1992 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bertrand Russell and the Origin of the Set-theoretic Paradoxes

Author : Alejandro Ricardo Garciadiego Dantan
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.:/5 (46 download)

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Book Synopsis Bertrand Russell and the Origin of the Set-theoretic Paradoxes by : Alejandro Ricardo Garciadiego Dantan

Download or read book Bertrand Russell and the Origin of the Set-theoretic Paradoxes written by Alejandro Ricardo Garciadiego Dantan and published by . This book was released on 1983 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

One Hundred Years of Russell ́s Paradox

Author : Godehard Link
Publisher : Walter de Gruyter
ISBN 13 : 3110199688
Total Pages : 673 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis One Hundred Years of Russell ́s Paradox by : Godehard Link

Download or read book One Hundred Years of Russell ́s Paradox written by Godehard Link and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Principia Mathematica

Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perspectives on the History of Mathematical Logic

Author : Thomas Drucker
Publisher : Springer Science & Business Media
ISBN 13 : 0817647694
Total Pages : 218 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Perspectives on the History of Mathematical Logic by : Thomas Drucker

Download or read book Perspectives on the History of Mathematical Logic written by Thomas Drucker and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Incompleteness

Author : Rebecca Goldstein
Publisher : W. W. Norton & Company
ISBN 13 : 0393327604
Total Pages : 299 pages
Book Rating : 4.3/5 (933 download)

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Book Synopsis Incompleteness by : Rebecca Goldstein

Download or read book Incompleteness written by Rebecca Goldstein and published by W. W. Norton & Company. This book was released on 2006-01-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

The Principles of Mathematics

Author : Bertrand Russell
Publisher : W. W. Norton & Company
ISBN 13 : 9780393314045
Total Pages : 580 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis The Principles of Mathematics by : Bertrand Russell

Download or read book The Principles of Mathematics written by Bertrand Russell and published by W. W. Norton & Company. This book was released on 1996 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Oppositions and Paradoxes

Author : John L. Bell
Publisher : Broadview Press
ISBN 13 : 1554813026
Total Pages : 218 pages
Book Rating : 4.5/5 (548 download)

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Book Synopsis Oppositions and Paradoxes by : John L. Bell

Download or read book Oppositions and Paradoxes written by John L. Bell and published by Broadview Press. This book was released on 2016-04-18 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since antiquity, opposed concepts such as the One and the Many, the Finite and the Infinite, and the Absolute and the Relative, have been a driving force in philosophical, scientific, and mathematical thought. Yet they have also given rise to perplexing problems and conceptual paradoxes which continue to haunt scientists and philosophers. In Oppositions and Paradoxes, John L. Bell explains and investigates the paradoxes and puzzles that arise out of conceptual oppositions in physics and mathematics. In the process, Bell not only motivates abstract conceptual thinking about the paradoxes at issue, but he also offers a compelling introduction to central ideas in such otherwise-difficult topics as non-Euclidean geometry, relativity, and quantum physics. These paradoxes are often as fun as they are flabbergasting. Consider, for example, the famous Tristram Shandy paradox: an immortal man composing an autobiography so slowly as to require a year of writing to describe each day of his life — he would, if he had infinite time, presumably never complete the work, although no individual part of it would remain unwritten. Or think of an office mailbox labelled “mail for those with no mailbox”—if this is a person’s mailbox, how can they possibly have “no mailbox”? These and many other paradoxes straddle the boundary between physics and metaphysics, and demonstrate the hidden difficulty in many of our most basic concepts.

Quine, New Foundations, and the Philosophy of Set Theory

Author : Sean Morris
Publisher : Cambridge University Press
ISBN 13 : 1108604536
Total Pages : 221 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Quine, New Foundations, and the Philosophy of Set Theory by : Sean Morris

Download or read book Quine, New Foundations, and the Philosophy of Set Theory written by Sean Morris and published by Cambridge University Press. This book was released on 2018-12-13 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quine's set theory, New Foundations, has often been treated as an anomaly in the history and philosophy of set theory. In this book, Sean Morris shows that it is in fact well-motivated, emerging in a natural way from the early development of set theory. Morris introduces and explores the notion of set theory as explication: the view that there is no single correct axiomatization of set theory, but rather that the various axiomatizations all serve to explicate the notion of set and are judged largely according to pragmatic criteria. Morris also brings out the important interplay between New Foundations, Quine's philosophy of set theory, and his philosophy more generally. We see that his early technical work in logic foreshadows his later famed naturalism, with his philosophy of set theory playing a crucial role in his primary philosophical project of clarifying our conceptual scheme and specifically its logical and mathematical components.

Quine, New Foundations, and the Philosophy of Set Theory

Author : Sean Morris
Publisher : Cambridge University Press
ISBN 13 : 110715250X
Total Pages : 221 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Quine, New Foundations, and the Philosophy of Set Theory by : Sean Morris

Frege

Author : Michael Dummett
Publisher : Harvard University Press
ISBN 13 : 9780674319356
Total Pages : 364 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Frege by : Michael Dummett

Download or read book Frege written by Michael Dummett and published by Harvard University Press. This book was released on 1991 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one has figured more prominently in the study of the German philosopher Gottlob Frege than Michael Dummett. His magisterial Frege: Philosophy of Language is a sustained, systematic analysis of Frege's thought, omitting only the issues in philosophy of mathematics. In this work Dummett discusses, section by section, Frege's masterpiece The Foundations of Arithmetic and Frege's treatment of real numbers in the second volume of Basic Laws of Arithmetic, establishing what parts of the philosopher's views can be salvaged and employed in new theorizing, and what must be abandoned, either as incorrectly argued or as untenable in the light of technical developments. Gottlob Frege (1848-1925) was a logician, mathematician, and philosopher whose work had enormous impact on Bertrand Russell and later on the young Ludwig Wittgenstein, making Frege one of the central influences on twentieth-century Anglo-American philosophy; he is considered the founder of analytic philosophy. His philosophy of mathematics contains deep insights and remains a useful and necessary point of departure for anyone seriously studying or working in the field.

Bertrand Russell: History of philosophy, ethics, education, religion and politics

Author : A. D. Irvine
Publisher : Psychology Press
ISBN 13 : 9780415130547
Total Pages : 360 pages
Book Rating : 4.1/5 (35 download)

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Book Synopsis Bertrand Russell: History of philosophy, ethics, education, religion and politics by : A. D. Irvine

Download or read book Bertrand Russell: History of philosophy, ethics, education, religion and politics written by A. D. Irvine and published by Psychology Press. This book was released on 1998 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set offers the reader a way into the critical writings on Russell's work on Logic, Mathematics, Language, Knowledge, the World, History of Philosophy, Ethics, Education, Religion and Politics, and on his life and influence.

Introduction to Mathematical Philosophy

Author : Bertrand Russell
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Mathematical Philosophy by : Bertrand Russell

Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by . This book was released on 1920 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Collected Papers of Bertrand Russell, Volume 5

Author : Bertrand Russell
Publisher : Routledge
ISBN 13 : 1317341775
Total Pages : 1057 pages
Book Rating : 4.3/5 (173 download)

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Book Synopsis The Collected Papers of Bertrand Russell, Volume 5 by : Bertrand Russell

Download or read book The Collected Papers of Bertrand Russell, Volume 5 written by Bertrand Russell and published by Routledge. This book was released on 2015-07-17 with total page 1057 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Bertrand Russell's Collected Papers finds Russell focused on writing Principia Mathematica during 1905–08. Eight previously unpublished papers shed light on his different versions of a substitutional theory of logic, with its elimination of classes and relations, during 1905-06. A recurring issue for him was whether a type hierarchy had to be part of a substitutional theory. In mid-1907 he began writing up the final version of Principia, now using a ramified theory of types, and eleven unpublished drafts from 1907-08 deal with this. Numerous letters show his thoughts on the process. The volume's 80-page introduction covers the evolution of his logic from 1896 until 1909, when volume I of Principia went to the printer.

The Search for Mathematical Roots, 1870-1940

Author : Ivor Grattan-Guinness
Publisher : Princeton University Press
ISBN 13 : 1400824044
Total Pages : 705 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Search for Mathematical Roots, 1870-1940 by : Ivor Grattan-Guinness

Download or read book The Search for Mathematical Roots, 1870-1940 written by Ivor Grattan-Guinness and published by Princeton University Press. This book was released on 2011-02-11 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Book of Set Theory

Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486497089
Total Pages : 259 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Book of Set Theory by : Charles C Pinter

Download or read book A Book of Set Theory written by Charles C Pinter and published by Courier Corporation. This book was released on 2014-07-23 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--