The Palgrave Centenary Companion to Principia Mathematica

1. Front Matter

   Pages i-xxvii

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2. The Influence of PM

   1. Front Matter

      Pages 1-1

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   2. Principia Mathematica: The First 100 Years

      • Alasdair Urquhart

      Pages 3-20

   3. David Hilbert and Principia Mathematica

      • Reinhard Kahle

      Pages 21-34

   4. Principia Mathematica in Poland

      • Jan Woleński

      Pages 35-55

3. Russell’s Philosophy of Logic and Logicism

   1. Front Matter

      Pages 57-57

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   2. From Logicism to Metatheory

      • Patricia Blanchette

      Pages 59-78

   3. Russell on Real Variables and Vague Denotation

      • Edwin Mares

      Pages 79-95

   4. The Logic of Classes of the No-Class Theory

      • Byeong-uk Yi

      Pages 96-129

   5. Why There Is No Frege-Russell Definition of Number

      • Jolen Galaugher

      Pages 130-160

4. Type Theory and Ontology

   1. Front Matter

      Pages 161-161

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   2. Principia Mathematica: φ! versus φ

      • Gregory Landini

      Pages 163-217

   3. PM’s Circumflex, Syntax and Philosophy of Types

      • Kevin C. Klement

      Pages 218-246

   4. Principia Mathematica, the Multiple-Relation Theory of Judgment and Molecular Facts

      • James Levine

      Pages 247-304

   5. A Report on Some Ramified-Type Assignment Systems and Their Model-Theoretic Semantics

      • Harold T. Hodes

      Pages 305-336

   6. Outline of a Theory of Quantification

      • Dustin Tucker

      Pages 337-365

5. Mathematics in PM

   1. Front Matter

      Pages 367-367

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   2. Whatever Happened to Group Theory?

      • Nicholas Griffin

      Pages 369-390

   3. Proofs of the Cantor-Bernstein Theorem in Principia Mathematica

      • Arie Hinkis

      Pages 391-412

   4. On Quantity and Number in Principia Mathematica: A Plea for an Ontological Interpretation of the Application Constraint

      • Sébastien Gandon

      Pages 413-434

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.

• logic
• mathematics
• philosophy
• philosophy of logic

• Bertrand Russell Centre, McMaster University, Hamilton, Canada

  Nicholas Griffin

• University of Alberta, Edmonton, Canada

  Bernard Linsky

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

Policies and ethics