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 Book excerpt: Xll Russell's published works include more than sixty books, several unpublished manuscripts, many hundreds of articles, dozens of radio and TV interviews and films, covering a wide spectrum of knowledge.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.

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 Book excerpt: Xll Russell's published works include more than sixty books, several unpublished manuscripts, many hundreds of articles, dozens of radio and TV interviews and films, covering a wide spectrum of knowledge.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.

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

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.

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: Provides an accessible mathematical and philosophical account of Quine's set theory, New Foundations.

Download or read book Bertrand Russell and the Origins of the Set theoretic paradoxes written by Alejandro Ricardo Garciadiego Dantan and published by Birkhauser. This book was released on 1992 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Principles of Mathematics written by Bertrand Russell and published by . This book was released on 2009-08 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics.

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.

Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

Download or read book Mexican Studies in the History and Philosophy of Science written by S. Ramirez and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a North American seeking to know the Mexican mind, and especially the sciences today and in their recent development, a great light of genius is to be found in Mexico City in the late 17th century. Tbe genius is that of one who surely may be counted as the first Mexican philosopher of nature, a nun of the Order of Saint Jerome: Sor Juana Ines de la Cruz. Sor Juana must speak for herself, from her penetrating exercise of an independent mind within a political and religious formation which denigrated women and circumscribed reason itself. To understand this world of ours, to join in an enlightenment which would be both natural and inspired, Sor Juana clearly understood the requirements of leaming, observing, logic and reasoning. In darkness foundering Words fail the troubled mind. For who, I ask, can light me When Reason is blind? Even now, after the great steps toward liberation of women, and the substantial scientific contributions toward sheer empirical awareness of both the multiple orders ofNature and the subtle aesthetics ofindividual art and social harmony, we too in the earthly world of the 20th century must affirm what she affirmed.

Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guinness and published by Routledge. This book was released on 2002-09-11 with total page 1788 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics

Download or read book Historical Dictionary of Bertrand Russell s Philosophy written by Rosalind Carey and published by Scarecrow Press. This book was released on 2009-03-02 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Academic philosopher, logician, public intellectual, educator, political activist, and freethinker, Bertrand Russell was and remains a colossus. No other single philosopher in the last 200 years can be said to have created so much and influenced so many. His Principia Mathematica, written with A. N. Whitehead, ranks as one of the greatest books on logic since Aristotle. His philosophical work on language, meaning, logic, mind, and metaphysics formed the basis of 20th-century philosophy. Russell was active in numerous political movements of liberation and peace, and his popular writings, including the best-selling History of Western Philosophy, won the Nobel prize in literature in 1950. Historical Dictionary of Bertrand Russell's Philosophy offers a comprehensive, current guide to the many facets of Russell's work. Through its chronology, introductory essay, bibliography, and hundreds of cross-referenced dictionary entries on concepts, people, works, and technical terms, Russell's impact on philosophy and related fields is made accessible to the reader in this must-have reference.

Download or read book The Mathematical Philosophy of Bertrand Russell Origins and Development written by Francisco Rodríguez-Consuegra and published by Birkhäuser. This book was released on 2012-12-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: by Ivor Grattan-Guinness Until twenty years ago the outline history of logicism was well known. Frege had had the important ideas, until he was eclipsed by Wittgenstein. Russell was important in publicising the former and tutoring the latter, and also for working with Moore in the conversion of British philosophy from neo-Hegelianism to the new analytic tradition in the 1900s, but his own work on logic and especially logicism was very muddled. Around that time Russell, who was still alive, sold his manuscripts to McMaster University in Canada, and interest in his achievements in logic began to develop, especially after his death in 1970. Scholars found thousands of folios of unpublished holograph awaiting their attention, and also hundreds of pertinent letters (both in the Russell Archives and elsewhere in certain recipients' collections). Various facets of his work came to light for the first time, and others -which could have been gleaned from carefully reading of the published sources- gained new publicity from the evidence revealed in manuscripts. Even the technical passage work, which constitutes the unread majority of the Principia mathematica (1910-13) of Russell and Whitehead, began to receive a little respectful scrutiny. It turned out that Russell had done several pioneering things. While indeed often incoherent in reference and content, they comprised major forays into the new mathematical logic, of which he turned out to be a major founder: some are even of interest to modem studies.

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.

Download or read book Development Of Mathematics Between The World Wars The Case Studies Examples And Analyses written by Martina Becvarova and published by World Scientific. This book was released on 2021-05-14 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Development of Mathematics Between the World Wars traces the transformation of scientific life within mathematical communities during the interwar period in Central and Eastern Europe, specifically in Germany, Russia, Poland, Hungary, and Czechoslovakia. Throughout the book, in-depth mathematical analyses and examples are included for the benefit of the reader.World War I heavily affected academic life. In European countries, many talented researchers and students were killed in action and scientific activities were halted to resume only in the postwar years. However, this inhibition turned out to be a catalyst for the birth of a new generation of mathematicians, for the emergence of new ideas and theories and for the surprising creation of new and outstanding scientific schools.The final four chapters are not restricted to Central and Eastern Europe and deal with the development of mathematics between World War I and World War II. After describing the general state of mathematics at the end of the 19th century and the first third of the 20th century, three case studies dealing with selected mathematical disciplines are presented (set theory, potential theory, combinatorics), in a way accessible to a broad audience of mathematicians as well as historians of mathematics.

Download or read book The Philosophy of Set Theory written by Mary Tiles and published by Courier Corporation. This book was released on 2012-03-08 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div