History and Philosophy of Modern Mathematics

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Publisher : U of Minnesota Press
ISBN 13 : 0816615675
Total Pages : 396 pages
Book Rating : 4.8/5 (166 download)

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Book Synopsis History and Philosophy of Modern Mathematics by : William Aspray

Download or read book History and Philosophy of Modern Mathematics written by William Aspray and published by U of Minnesota Press. This book was released on 1988 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.

From Foundations to Philosophy of Mathematics

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443834793
Total Pages : 230 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis From Foundations to Philosophy of Mathematics by : Joan Roselló

Download or read book From Foundations to Philosophy of Mathematics written by Joan Roselló and published by Cambridge Scholars Publishing. This book was released on 2011-10-18 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Foundations to Philosophy of Mathematics provides an historical introduction to the most exciting period in the foundations of mathematics, starting with the discovery of the paradoxes of logic and set theory at the beginning of the twentieth century and continuing with the great foundational debate that took place in the 1920s. As a result of the efforts of several mathematicians and philosophers during this period to ground mathematics and to clarify its nature from a certain philosophical standpoint, the four main schools in the philosophy of mathematics that have largely dominated the twentieth century arose, namely, logicism, intuitionism, formalism and predicativism. It was due precisely to the insufficiencies of the first three foundational programs and the objections raised against them, that interest in Platonism was renewed in the 1940s, mainly by Gödel. Not only does this book pay special attention to the foundational programs of these philosophies of mathematics, but also to some technical accomplishments that were developed in close connection with them and have largely shaped our understanding of the nature of mathematics, such as Russell’s type theory, Zermelo’s set theory and Gödel’s incompleteness theorems. Finally, it also examines some current research programs that have been pursued in the last decades and have tried, at least to some extent, to show the feasibility of the foundational programs developed in the schools mentioned above. This is the case of neologicism, constructivism, and predicativist and finitist reductionism, this last one developed closely with the research program of reverse mathematics.

Précis de Logique Mathématique

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Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Précis de Logique Mathématique by : Joseph M. Bochenski

Download or read book Précis de Logique Mathématique written by Joseph M. Bochenski and published by . This book was released on 1948 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

COMMENT DIEU VOIT LE MONDE

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Publisher : Xlibris Corporation
ISBN 13 : 1465324895
Total Pages : 353 pages
Book Rating : 4.4/5 (653 download)

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Book Synopsis COMMENT DIEU VOIT LE MONDE by : Bertin Nana

Download or read book COMMENT DIEU VOIT LE MONDE written by Bertin Nana and published by Xlibris Corporation. This book was released on 2007-08-08 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Comment Dieu Voit le Monde" est un message de paix sur la terre, une invitation aux chrétiens et au monde à devenir pacifi que et doux comme les anges, une invitation à l'humanité à devenir compatissante et solidaire pour combattre la pollution et le réchauffement de la terre. "Comment Dieu Voit le Monde", c'est la Bible, la philosophie occidentale, les mathématiques, la littérature, la science, la vie. Le livre est unique et révolutionnaire dans l'histoire de l'humanité parce que l'auteur utilize le raisonnement mathématique pour prouver les vérités en religion, en philosophie, et sur la vie. L'auteur est un défenseur de la civilisation de la renaissance et de la croissance zéro comme le recommandait le Club de Rome dans le livre intitulé "Halte à la croissance". L'auteur explique les mystères de Satan et du péché original en utilisant le personnalisme, la phénoménologie, l'existentialisme, et les mathématiques. Les mathématiques sont la logique et l'art de raisonner. L'auteur démontre mathématiquement et bibliquement qu'un chrétien est un saint, un philosophe, et un communiste. C'est-à-dire que l'humanité doit devenir communiste pour espérer résoudre les problèmes de la pollution, du chômage, de la violence, de la pauvreté, de la santé, des guerres etc. C'est-à-dire que l'humanité doit devenir communiste si elle veut survivre.

Collection de logique mathématique

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Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.1/5 (162 download)

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Book Synopsis Collection de logique mathématique by : Robert Feys

Download or read book Collection de logique mathématique written by Robert Feys and published by . This book was released on 1965 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Revue Semestrielle Des Publications Mathématiques

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Revue Semestrielle Des Publications Mathématiques by :

Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1913 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of Models

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Publisher : Elsevier
ISBN 13 : 1483275345
Total Pages : 513 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Theory of Models by : J.W. Addison

Download or read book The Theory of Models written by J.W. Addison and published by Elsevier. This book was released on 2014-05-27 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.

Revue Semestrielle Des Publications Mathematiques

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Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Revue Semestrielle Des Publications Mathematiques by :

Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1893 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and Logic in History and in Contemporary Thought

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Publisher : Routledge
ISBN 13 : 1351506625
Total Pages : 400 pages
Book Rating : 4.3/5 (515 download)

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Book Synopsis Mathematics and Logic in History and in Contemporary Thought by : Ettore Carruccio

Download or read book Mathematics and Logic in History and in Contemporary Thought written by Ettore Carruccio and published by Routledge. This book was released on 2017-09-29 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed on the philosophic and logical systems, from Aristotle onward, that provide the basis for the fusion of mathematics and logic in contemporary thought.

Giuseppe Peano between Mathematics and Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 8847018366
Total Pages : 198 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Giuseppe Peano between Mathematics and Logic by : Fulvia Skof

Download or read book Giuseppe Peano between Mathematics and Logic written by Fulvia Skof and published by Springer Science & Business Media. This book was released on 2011-04-30 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.

Rediscovering Phenomenology

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Publisher : Springer Science & Business Media
ISBN 13 : 1402058810
Total Pages : 396 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Rediscovering Phenomenology by : Luciano Boi

Download or read book Rediscovering Phenomenology written by Luciano Boi and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes a new phenomenological analysis of the questions of perception and cognition which are of paramount importance for a better understanding of those processes which underlies the formation of knowledge and consciousness. It presents many clear arguments showing how a phenomenological perspective helps to deeply interpret most fundamental findings of current research in neurosciences and also in mathematical and physical sciences.

Revival: The Psychology of Reasoning (1923)

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Publisher : Routledge
ISBN 13 : 1351339966
Total Pages : 296 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Revival: The Psychology of Reasoning (1923) by : Eugenio Rignano

Download or read book Revival: The Psychology of Reasoning (1923) written by Eugenio Rignano and published by Routledge. This book was released on 2018-05-08 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book owes its origin to the indefinable sense of uneasiness and discontent into which I was thrown by the perusal of some of the best treatises on Logic. These treatises had failed to explain the nature of the logical or reasoning faculty, though purporting to indicate the laws which govern its proper functioning. Even the work of John Stuart Mill, which still remains in my opinion the best, was no more convincing than the rest. And the more I read of such books the less satisfied I became and the stonger became my desire to understand clearly what constituted reasoning. As for the psychologists I found to my surprise that they either omitted reasoning altogether, or alluded to it in a most superficial manner.

New Essays on Leibniz Reception

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Publisher : Springer Science & Business Media
ISBN 13 : 3034605048
Total Pages : 285 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis New Essays on Leibniz Reception by : Ralph Krömer

Download or read book New Essays on Leibniz Reception written by Ralph Krömer and published by Springer Science & Business Media. This book was released on 2012-03-13 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of essays on the reception of Leibniz’s thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz, Bertrand Russell, Ernst Cassirer, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gödel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibniz’s thought and that of the later authors: the continuum, space, identity, number, the infinite and the infinitely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history of philosophy and of science (research on Leibniz, and the research concerned with some major developments in the 19th and 20th centuries); it describes how Leibniz’s thought appears in the works of these authors, in order to better understand Leibniz’s influence on contemporary science and philosophy; but it also assesses that reception critically, confronting it in particular with the current state of Leibniz research and with the various editions of his work.

The Collected Papers of Bertrand Russell, Volume 5

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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.

Logical and Epistemological Studies in Contemporary Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401026564
Total Pages : 475 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Logical and Epistemological Studies in Contemporary Physics by : Robert S. Cohen

Download or read book Logical and Epistemological Studies in Contemporary Physics written by Robert S. Cohen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Boston Colloquium for the Philosophy of Science 1969/1972

Logic in Question

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Publisher : Springer Nature
ISBN 13 : 3030944522
Total Pages : 743 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Logic in Question by : Jean-Yves Béziau

Download or read book Logic in Question written by Jean-Yves Béziau and published by Springer Nature. This book was released on 2023-01-11 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.

American Journal of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis American Journal of Mathematics by :

Download or read book American Journal of Mathematics written by and published by . This book was released on 1908 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.