The Palgrave Centenary Companion to Principia Mathematica

1. Auflage 2013
ISBN: 978-1-349-46611-5
Verlag: Palgrave Macmillan UK

Buch, Englisch, 458 Seiten, Paperback, Format (B × H): 140 mm x 216 mm, Gewicht: 608 g

Reihe: History of Analytic Philosophy

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.

Zielgruppe

Research

Autoren/Hrsg.

Linsky, Bernard

Griffin, N.

Fachgebiete

• Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie
• Geisteswissenschaften Philosophie Moderne Philosophische Disziplinen Philosophie des Geistes, Neurophilosophie
• Geisteswissenschaften Philosophie Wissenschaftstheorie, Wissenschaftsphilosophie
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie

Inhaltsverzeichnis

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

Über Autor(innen)

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