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Author: Denis Vernant
Publisher: Vrin
ISBN: 9782711611416
Category : Mathematics
Languages : fr
Pages : 516
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Book Description
Par le terme de philosophie mathematique , Bertrand Russell designe une philosophie qui s'efforce d'expliquer les principes logiques sur lesquels reposent les mathematiques. Portant sur l'ensemble de l'oeuvre logico-mathematique de Russell, depuis les Principles of Mathematics jusqu'aux Principia Mathematica en passant par On Denoting , cette etude reconstitue la genese de la logique russellienne a partir d'une reflexion grammaticale et scrute l'analyse philosophique des concepts et propositions mathematiques qui gouverne leur reduction logiciste. L'auteur, adoptant une approche historique, souligne, a travers evolutions et ruptures, la coherence d'une authentique pensee.
Author: Denis Vernant
Publisher: Vrin
ISBN: 9782711611416
Category : Mathematics
Languages : fr
Pages : 516
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Book Description
Par le terme de philosophie mathematique , Bertrand Russell designe une philosophie qui s'efforce d'expliquer les principes logiques sur lesquels reposent les mathematiques. Portant sur l'ensemble de l'oeuvre logico-mathematique de Russell, depuis les Principles of Mathematics jusqu'aux Principia Mathematica en passant par On Denoting , cette etude reconstitue la genese de la logique russellienne a partir d'une reflexion grammaticale et scrute l'analyse philosophique des concepts et propositions mathematiques qui gouverne leur reduction logiciste. L'auteur, adoptant une approche historique, souligne, a travers evolutions et ruptures, la coherence d'une authentique pensee.
Author: Francisco Rodríguez-Consuegra
Publisher: Birkhäuser
ISBN: 3034875339
Category : Science
Languages : en
Pages : 249
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Book Description
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.
Author: John Slater
Publisher: Taylor & Francis
ISBN: 1040231586
Category : Philosophy
Languages : en
Pages : 643
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Book Description
The years covered by this volume of the Collected Papers of Bertrand Russell were among the most productive, philosophically speaking, of Russell's entire career. In addition to the papers reprinted here, he bought Principia Mathematica to its finished form and wrote The Problems of Philosophy, Theory of Knowledge and Knowledge of the External World. In October 1910 he began teaching at Cambridge, having accepted an appointment as lecturer in logic and the principles of mathematics at Trinity College for a term of five years. A year later Ludwig Wittgenstein began to attend his lectures. Within a few months he was influencing Russell's philosophical thinking as much as, or more than, Russell was influencing his.
Author: Nicholas Griffin
Publisher: Taylor & Francis
ISBN: 1040231632
Category : Philosophy
Languages : en
Pages : 698
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Book Description
The 1896-1899 papers, few of which were published in Russell's lifetime, concentrate primarily on physics, arithmetic and the concept of quantity. Several views that later became well-known in his The Principles of Mathematics actually originate in his earlier work, and though incomplete,An Analysis of Mathematical Reasoning, forms a centrepiece of the volume.
Author: Bertrand Russell
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Bertrand Russell
Publisher: Prabhat Prakashan
ISBN:
Category : Philosophy
Languages : en
Pages : 612
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Book Description
Mathematics Philosophy Top Reads by Bertrand Russell: Introduction to Mathematical Philosophy/An Essay on the Foundations of Geometry by Bertrand Russell by Bertrand Russell: Delve into the intersection of mathematics and philosophy with Bertrand Russell's "Mathematics Philosophy Top Reads." This collection features two of Russell's seminal works: "Introduction to Mathematical Philosophy" and "An Essay on the Foundations of Geometry." These essays explore the philosophical foundations of mathematics and the nature of geometric principles. Why This Book? "Mathematics Philosophy Top Reads" offers readers the opportunity to delve into Bertrand Russell's insightful explorations of the relationship between mathematics and philosophy. Russell's examination of the logical underpinnings of mathematics and his philosophical inquiries make this collection a valuable resource for those interested in the intersections of these disciplines.
Author: Bertrand Russell
Publisher: Taylor & Francis
ISBN: 1000686973
Category : Philosophy
Languages : en
Pages : 227
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Book Description
"The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless the more scientific parts of mathematics are known. A book dealing with those parts may, therefore, claim to be an introduction to mathematical philosophy..." - Bertrand Russell, from the Preface First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. Russell explains that mathematics can be approached in two distinct directions: one that is driven by a mechanical kind of simplicity and builds towards complexity, from integers to fractions and real numbers to complex ones; and one that searches for abstractness and logical simplicity by asking what general principles underlie mathematics. From here Russell introduces and explains, in his customary pellucid prose, the definition of numbers, finitude, correlation and relation, mathematical limits, infinity, propositional descriptions and classes. Russell concludes with a fascinating summary of the relationship between mathematics and logic, of which he states "logic is the youth of mathematics." This Routledge Classics edition includes a new Foreword by Michael Potter.
Author: Bertrand Russell
Publisher: Prabhat Prakashan
ISBN:
Category : Mathematics
Languages : en
Pages : 221
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Book Description
Introduction to Mathematical Philosophy by Bertrand Russell is a seminal work that explores the intersection of mathematics and philosophy. Russell's book provides a comprehensive introduction to the foundational concepts and principles of mathematical philosophy, delving into logic, set theory, and the philosophical implications of mathematical reasoning. Key Aspects of the Book "Introduction to Mathematical Philosophy": Logic and Mathematics: Russell examines the relationship between logic and mathematics, demonstrating how logical principles form the basis of mathematical reasoning. He explores mathematical logic, symbolic notation, and the principles of inference. Philosophical Significance: The book goes beyond the technical aspects of mathematics and delves into the philosophical implications of mathematical concepts. Russell explores questions of truth, knowledge, and the nature of reality as they relate to mathematics. Set Theory and Foundations: Russell introduces the principles of set theory and discusses their role in establishing the foundations of mathematics. He explores the paradoxes that arise in set theory and proposes solutions to resolve these paradoxes. Bertrand Russell was a renowned philosopher, logician, and mathematician. His contributions to various fields of study, including philosophy of language, logic, and mathematics, have had a profound impact on intellectual thought. "Introduction to Mathematical Philosophy" showcases Russell's expertise in both mathematics and philosophy, solidifying his reputation as a leading figure in analytical philosophy and mathematical logic.
Author: GARCIADIEGO
Publisher: Birkhäuser
ISBN: 3034874022
Category : Philosophy
Languages : en
Pages : 286
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Book Description
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.
Author: Denis Vernant
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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