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: f! versus f;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; Sebastien Gandon.
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, Symbolic and mathematical.
Russell, Bertrand, -- 1872-1970. -- Principles of mathematics.