The Palgrave Centenary Companion to Principia Mathematica

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