Overview

To mark the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell, this collection of fifteen new essays by distinguished scholars considers the influence and history of PM over the last hundred years.

Full Product Details

Author:   N. Griffin ,  Bernard Linsky
Publisher:   Palgrave Macmillan
Imprint:   Palgrave Macmillan
Dimensions:   Width: 14.00cm , Height: 3.00cm , Length: 21.60cm
Weight:   7.084kg
ISBN:  

9781137344625

ISBN 10:   1137344628
Pages:   458
Publication Date:   29 November 2013
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Note on Citations Introduction: Nicholas Griffin and Bernard Linsky PART I: THE INFLUENCE OF PM 1. Principia Mathematica : The First Hundred Years; Alasdair Urquhart 2. David Hilbert and Principia Mathematica ; Reinhard Kahle: 3. Principia Mathematica in Poland; Jan Wolenski PART II: RUSSELL'S PHILOSOPHY OF LOGIC AND LOGICISM 4. From Logicism to Metatheory; Patricia Blanchette 5. Russell on Real Variables and Vague Denotation; Edwin Mares 6. The Logic of Classes and the No-Class Theory; Byeong-uk Yi 7. Why There Is No Frege–Russell Definition of Number; Jolen Galaugher PART III: TYPE THEORY AND ONTOLOGY 8. Principia Mathematica : ?! versus ?;Gregory Landini 9. PM's Circumflex, Syntax and Philosophy of Types; Kevin Klement 10. Principia Mathematica , the Multiple-Relation Theory of Judgment and Molecular Facts; James Levine 11. Report on Some Ramified-Type Assignment Systems and Their Model-Theoretic Semantics; Harold Hodes 12. Outline of a Theory of Quantification; Dustin Tucker PART IV: MATHEMATICS IN PM 13. Whatever Happened to Group Theory?; Nicholas Griffin 14. Proofs of the Cantor–Bernstein Theorem in Principia Mathematica ; Arie Hinkis 15. Quantity and Number in Principia Mathematica : A Plea for an Ontological Interpretation of the Application Constraint; Sébastien Gandon

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Patricia Blanchette, University of Notre Dame, Indiana, USA Jolen Galaugher, University of Iowa, USA Sébastien Gandon, Université Blaise Pascal, Clermont, France Arie Hinkis lives in Israel and is the author of Proofs of the Cantor Bernstein Theorem. A Mathematical Excursion Harold T. Hodes, Cornell University, USA Reinhard Kahle, Universidade Nova de Lisboa, Portugal Kevin C. Klement, University of Massachusetts, Amherst, USA Gregory Landini, University of Iowa, USA James Levine, Trinity College, Dublin, Ireland Edwin Mares, Victoria University of Wellington, New Zealand Dustin Tucker, Colorado State University, Fort Collins, Colorado, USA Alasdair Urquhart, Professor Emeritus, University of Toronto, Canada Byeong-uk Yi, University of Toronto, Canada Jan Wole?ski, Jagiellonian University, Krakow, Poland

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