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Author : Dirk Dalen
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (992 download)
Download or read book Mystic, Geometer, and Intuitionist: Hope and disillusion written by Dirk Dalen and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Susan Petrilli
Publisher : Walter de Gruyter
ISBN 13 : 3110218518
Total Pages : 1069 pages
Book Rating : 4.1/5 (12 download)
Download or read book Signifying and Understanding written by Susan Petrilli and published by Walter de Gruyter. This book was released on 2009-12-15 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of signifying (significs), formulated and introduced by Victoria Welby for the first time in 1890s, is at the basis of much of twentieth-century linguistics, as well as in other language and communication sciences such as sociolinguistics, psycholinguistics, translation theory and semiotics. Indirectly, the origins of approaches, methods and categories elaborated by analytical philosophy, Wittgenstein himself, Anglo-American speech act theory, and pragmatics are largely found with Victoria Lady Welby. Indeed, it is no exaggeration to say, in addition, that Welby is the "founding mother" of semiotics. Some of Peirce's most innovative writings - for example, those on existential graphs - are effectively letters to Lady Welby. She was an esteemed correspondent of scholars such as Bertrand Russell, Charles K. Ogden, Herbert G. Wells, Ferdinand S. C. Schiller, Michel Bréal, André Lalande, the brothers Henry and William James, and Peirce, as well as Frederik van Eeden, Mary Everst Boole, Ferdinand Tönnies, and Giovanni Vailati. Her writings directly inspired the Signific Movement in the Netherlands, important for psycholinguistics, linguistics and semantics and inaugurated by van Eeden and developed by such authors as Gerrit Mannoury. This volume, containing introductions and commentaries, presents a selection from Welby's published and unpublished writings delineating the whole course of her research through to developments with the Significs Movement in the Netherlands and still other ramifications, contemporary and subsequent to her. A selection of essays by first-generation significians contributing to the Signific Movement in the Netherlands completes the collection, testifying to the progress of significs after Welby and even independently from her. This volume contributes to the reconstruction on both the historical and theoretical levels of an important period in the history of ideas. The aim of the volume is to convey a sense of the theoretical topicality of significs and its developments, especially in semiotics, and in particular its thematization of the question of values and the connection with signs, meaning, and understanding, therefore with human verbal and nonverbal behavior, language and communication.
Author : Dirk van Dalen
Publisher : Springer Science & Business Media
ISBN 13 : 1447146166
Total Pages : 877 pages
Book Rating : 4.4/5 (471 download)
Download or read book L.E.J. Brouwer – Topologist, Intuitionist, Philosopher written by Dirk van Dalen and published by Springer Science & Business Media. This book was released on 2012-12-04 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dirk van Dalen’s biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and intricacies of mathematics. Most mathematicians remember L.E.J. Brouwer from his scientific breakthroughs in the young subject of topology and for the famous Brouwer fixed point theorem. Brouwer’s main interest, however, was in the foundation of mathematics which led him to introduce, and then consolidate, constructive methods under the name ‘intuitionism’. This made him one of the main protagonists in the ‘foundation crisis’ of mathematics. As a confirmed internationalist, he also got entangled in the interbellum struggle for the ending of the boycott of German and Austrian scientists. This time during the twentieth century was turbulent; nationalist resentment and friction between formalism and intuitionism led to the Mathematische Annalen conflict ('The war of the frogs and the mice'). It was here that Brouwer played a pivotal role. The present biography is an updated revision of the earlier two volume biography in one single book. It appeals to mathematicians and anybody interested in the history of mathematics in the first half of the twentieth century.
Author : Mark van Atten
Publisher : Springer Science & Business Media
ISBN 13 : 3764386533
Total Pages : 432 pages
Book Rating : 4.7/5 (643 download)
Download or read book One Hundred Years of Intuitionism (1907-2007) written by Mark van Atten and published by Springer Science & Business Media. This book was released on 2008-11-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitionism is one of the main foundations for mathematics proposed in the twentieth century and its views on logic have also notably become important with the development of theoretical computer science. This book reviews and completes the historical account of intuitionism. It also presents recent philosophical work on intuitionism and gives examples of new technical advances and applications. It brings together 21 contributions from today's leading authors on intuitionism.
Author : Dirk von Dalen
Publisher : Springer Science & Business Media
ISBN 13 : 0857295373
Total Pages : 531 pages
Book Rating : 4.8/5 (572 download)
Download or read book The Selected Correspondence of L.E.J. Brouwer written by Dirk von Dalen and published by Springer Science & Business Media. This book was released on 2011-07-25 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: L.E.J. Brouwer (1881-1966) is best known for his revolutionary ideas on topology and foundations of mathematics (intuitionism). The present collection contains a mixture of letters; university and faculty correspondence has been included, some of which shed light on the student years, and in particular on the exchange of letters with his PhD adviser, Korteweg. Acting as the natural sequel to the publication of Brouwer’s biography, this book provides instrumental reading for those wishing to gain a deeper understanding of Brouwer and his role in the twentieth century. Striking a good balance of biographical and scientific information, the latter deals with innovations in topology (Cantor-Schoenflies style and the new topology) and foundations. The topological period in his research is well represented in correspondence with Hilbert, Schoenflies, Poincaré, Blumenthal, Lebesgue, Baire, Koebe, and foundational topics are discussed in letters exchanged with Weyl, Fraenkel, Heyting, van Dantzig and others. There is also a large part of correspondence on matters related to the interbellum scientific politics. This book will appeal to both graduate students and researchers with an interest in topology, the history of mathematics, the foundations of mathematics, philosophy and general science.
Author : Bharath Sriraman
Publisher : Springer Nature
ISBN 13 : 3031408462
Total Pages : 3221 pages
Book Rating : 4.0/5 (314 download)
Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark van Atten
Publisher : Springer Science & Business Media
ISBN 13 : 1402050879
Total Pages : 213 pages
Book Rating : 4.4/5 (2 download)
Download or read book Brouwer meets Husserl written by Mark van Atten and published by Springer Science & Business Media. This book was released on 2006-11-08 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can a line be analysed mathematically such a way that it does not fall apart into a set of discrete points? Are there objects of pure mathematics that can change through time? L. E. J. Brouwer argued that the two questions are related and that the answer to both is "yes", introducing the concept of choice sequences. This book subjects Brouwer's choice sequences to a phenomenological critique in the style of Husserl.
Author : Julien Bernard
Publisher : Springer Nature
ISBN 13 : 3030115275
Total Pages : 433 pages
Book Rating : 4.0/5 (31 download)
Download or read book Weyl and the Problem of Space written by Julien Bernard and published by Springer Nature. This book was released on 2019-10-09 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates Hermann Weyl’s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl “deduces”, with group-theoretical technicalities, that there is only one “kind” of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem. Contributing authors mark out the double trajectory that goes through Weyl’s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathematical tradition (Riemann, Helmholtz, Lie, Klein) that permitted Weyl to elaborate and solve his mathematical problem of space. Furthermore, this volume analyzes the role of the interlocutors with whom Weyl discussed the nature of physical space (Einstein, Cartan, De Sitter, Schrödinger, Eddington). This volume features the work of top specialists and will appeal to postgraduates and scholars in philosophy, the history of science, mathematics, or physics.
Author : Mark van Atten
Publisher : Springer
ISBN 13 : 3319100319
Total Pages : 336 pages
Book Rating : 4.3/5 (191 download)
Download or read book Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer written by Mark van Atten and published by Springer. This book was released on 2014-11-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume tackles Gödel's two-stage project of first using Husserl's transcendental phenomenology to reconstruct and develop Leibniz' monadology, and then founding classical mathematics on the metaphysics thus obtained. The author analyses the historical and systematic aspects of that project, and then evaluates it, with an emphasis on the second stage. The book is organised around Gödel's use of Leibniz, Husserl and Brouwer. Far from considering past philosophers irrelevant to actual systematic concerns, Gödel embraced the use of historical authors to frame his own philosophical perspective. The philosophies of Leibniz and Husserl define his project, while Brouwer's intuitionism is its principal foil: the close affinities between phenomenology and intuitionism set the bar for Gödel's attempt to go far beyond intuitionism. The four central essays are `Monads and sets', `On the philosophical development of Kurt Gödel', `Gödel and intuitionism', and `Construction and constitution in mathematics'. The first analyses and criticises Gödel's attempt to justify, by an argument from analogy with the monadology, the reflection principle in set theory. It also provides further support for Gödel's idea that the monadology needs to be reconstructed phenomenologically, by showing that the unsupplemented monadology is not able to found mathematics directly. The second studies Gödel's reading of Husserl, its relation to Leibniz' monadology, and its influence on his publishe d writings. The third discusses how on various occasions Brouwer's intuitionism actually inspired Gödel's work, in particular the Dialectica Interpretation. The fourth addresses the question whether classical mathematics admits of the phenomenological foundation that Gödel envisaged, and concludes that it does not. The remaining essays provide further context. The essays collected here were written and published over the last decade. Notes have been added to record further thoughts, changes of mind, connections between the essays, and updates of references.
Author : Ralf Krömer
Publisher : Springer Nature
ISBN 13 : 3031597974
Total Pages : 962 pages
Book Rating : 4.0/5 (315 download)
Download or read book Duality in 19th and 20th Century Mathematical Thinking written by Ralf Krömer and published by Springer Nature. This book was released on 2024 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing a priori notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject. Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is there such a thing as duality in mathematics, or are there just several things called by the same name and similar in some respect? What emerges is that duality can be considered as a basic structure of mathematical thinking, thereby opening new horizons for the research on the history and the philosophy of mathematics and the reflection on mathematics in general. The volume will appeal not only to experts in the discipline but also to advanced students of mathematics, history, and philosophy intrigued by the complexities of this captivating subject matter.
Author : Kumaraswamy Vela Velupillai
Publisher : Routledge
ISBN 13 : 1134385463
Total Pages : 200 pages
Book Rating : 4.1/5 (343 download)
Download or read book Models of Simon written by Kumaraswamy Vela Velupillai and published by Routledge. This book was released on 2017-11-22 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Herbert Simon (1916-2001) is mostly celebrated for the theory of bounded rationality and satisficing. This book of essays on Models of Simon tackles these topics that the he broached in a professional career spanning more than 60 years. Expository material on the fundamental concepts he introduced are re-interpreted in terms of the theory of computability. This volume frames the behavioural issues of concern for economists, such as: hierarchy, causality, near-diagonal linear dynamical systems, discovery, the contrasts between the notion of heuristics, and the Church-Turing Thesis of Computability Theory. There is, consistently, an emphasis on the historical origins of the concepts Simon worked with, in emphasising Human Problem Solving and Decision Making – by rational individuals and institutions (like Organizations). The main feature of the results in the book are its emphasis on the procedural aspects of human problem solving, decision making and the remarkable way Simon harnessed many tools of mathematical logic, mathematics, cognitive sciences, economics and econometrics. This long-awaited volume is an important read for those who study economic theory and philosophy, microeconomics and political economy, as well as those interested in the great Herbert Simon’s work.
Author : Robert Leonard
Publisher : Cambridge University Press
ISBN 13 : 052156266X
Total Pages : 421 pages
Book Rating : 4.5/5 (215 download)
Download or read book Von Neumann, Morgenstern, and the Creation of Game Theory written by Robert Leonard and published by Cambridge University Press. This book was released on 2010-06-28 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reconstruction of the creation of game theory in the twentieth century by John von Neumann and Oskar Morgenstern.
Author : Hector Zenil
Publisher : World Scientific
ISBN 13 : 9814374296
Total Pages : 855 pages
Book Rating : 4.8/5 (143 download)
Download or read book A Computable Universe written by Hector Zenil and published by World Scientific. This book was released on 2013 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the foundations of computation in relation to nature. It focuses on two main questions: What is computation? and How does nature compute?
Author : Alexander Soifer
Publisher : Springer Science & Business Media
ISBN 13 : 0387746420
Total Pages : 619 pages
Book Rating : 4.3/5 (877 download)
Download or read book The Mathematical Coloring Book written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2008-10-13 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.
Author : Marcus Düwell
Publisher : Springer Science & Business Media
ISBN 13 : 140206764X
Total Pages : 378 pages
Book Rating : 4.4/5 (2 download)
Download or read book The Contingent Nature of Life written by Marcus Düwell and published by Springer Science & Business Media. This book was released on 2008-04-19 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the different dimensions of how the contingency of life, and especially human life, is relevant for ethical discussions and the normative frameworks in bioethics. It explores the relevance of the notion contingency, needs and desires for moral argumentation and bioethics. The volume discusses those notions in a philosophical perspective. Additionally, the volume is a contribution to a deeper reflection on basic philosophical assumptions of bioethics.
Author : Peter E. Gordon
Publisher : Princeton University Press
ISBN 13 : 1400846781
Total Pages : 465 pages
Book Rating : 4.4/5 (8 download)
Download or read book Weimar Thought written by Peter E. Gordon and published by Princeton University Press. This book was released on 2013-06-30 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at the intellectual and cultural innovations of the Weimar period During its short lifespan, the Weimar Republic (1918–33) witnessed an unprecedented flowering of achievements in many areas, including psychology, political theory, physics, philosophy, literary and cultural criticism, and the arts. Leading intellectuals, scholars, and critics—such as Hannah Arendt, Walter Benjamin, Ernst Bloch, Bertolt Brecht, and Martin Heidegger—emerged during this time to become the foremost thinkers of the twentieth century. Even today, the Weimar era remains a vital resource for new intellectual movements. In this incomparable collection, Weimar Thought presents both the specialist and the general reader a comprehensive guide and unified portrait of the most important innovators, themes, and trends of this fascinating period. The book is divided into four thematic sections: law, politics, and society; philosophy, theology, and science; aesthetics, literature, and film; and general cultural and social themes of the Weimar period. The volume brings together established and emerging scholars from a remarkable array of fields, and each individual essay serves as an overview for a particular discipline while offering distinctive critical engagement with relevant problems and debates. Whether used as an introductory companion or advanced scholarly resource, Weimar Thought provides insight into the rich developments behind the intellectual foundations of modernity.
Author : Alexander Soifer
Publisher : Springer
ISBN 13 : 3034807120
Total Pages : 475 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Scholar and the State: In Search of Van der Waerden written by Alexander Soifer and published by Springer. This book was released on 2014-11-12 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bartel Leendert van der Waerden made major contributions to algebraic geometry, abstract algebra, quantum mechanics, and other fields. He liberally published on the history of mathematics. His 2-volume work Modern Algebra is one of the most influential and popular mathematical books ever written. It is therefore surprising that no monograph has been dedicated to his life and work. Van der Waerden’s record is complex. In attempting to understand his life, the author assembled thousands of documents from numerous archives in Germany, the Netherlands, Switzerland and the United States which revealed fascinating and often surprising new information about van der Waerden. Soifer traces Van der Waerden’s early years in a family of great Dutch public servants, his life as professor in Leipzig during the entire Nazi period, and his personal and professional friendship with one of the great physicists Werner Heisenberg. We encounter heroes and villains and a much more numerous group in between these two extremes. One of them is the subject of this book. Soifer’s journey through a long list of archives, combined with an intensive correspondence, had uncovered numerous details of Van der Waerden’s German intermezzo that raised serious questions and reproaches. Dirk van Dalen (Philosophy, Utrecht University) Professor Soifer’s book implicates the anthropologists’ and culture historians’ core interest in the evolution of culture and in the progress of human evolution itself on this small contested planet. James W. Fernandez (Anthropology, University of Chicago) The book is fascinating. Professor Soifer has done a great service to the discipline of history, as well as deepening our understanding of the 20th century. Peter D. Johnson, Jr. (Mathematics, Auburn University) This book is an important contribution to the history of the twentieth century, and reads like a novel with an ever-fascinating cast of characters. Harold W. Kuhn (Mathematics, Princeton University) This is a most impressive and important book. It is written in an engaging, very personal style and challenges the reader’s ability of moral and historical judgment. While it is not always written in the style of ‘objective’ professional historiography, it satisfies very high standards of scholarly documentation. Indeed the book contains a wealth of source material that allows the reader to form a highly detailed picture of the events and personalities discussed in the book. As an exemplar of historical writing in a broader sense it can compete with any other historical book. Moritz Epple (History of Mathematics, Frankfurt University)
