Essays on Frege's Foundations of Arithmetic

Erscheinungsjahr 2019
ISBN: 978-0-19-871208-4
Verlag: OXFORD UNIV PR

Buch, Englisch, 686 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 1183 g

The volume is the first collection of essays that focuses on Gottlob Frege's Basic Laws of Arithmetic (1893/1903), highlighting both the technical and the philosophical richness of Frege's magnum opus. It brings together twenty-two renowned Frege scholars whose contributions discuss a wide range of topics arising from both volumes of Basic Laws of Arithmetic. The original chapters in this volume make vivid the importance and originality of Frege's masterpiece, not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.

Autoren/Hrsg.

Ebert, Philip A.

Rossberg, Marcus

Fachgebiete

• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie Westliche Philosophie: 20./21. Jahrhundert

Inhaltsverzeichnis

- Foreword

- 1: Richard Kimberly Heck: The Basic Laws of Cardinal Number

- 2: Patricia Blanchette: Axioms in Frege

- 3: Walter B. Pedriali: When Logic Gives Out: Frege on Basic Logical Laws

- 4: Øystein Linnebo: The Context Principle in Frege's Grundgesetze

- 5: Joan Weiner: Why Does Frege Care Whether Julius Caesar is a Numbera Section 10 of Basic Laws and the Context Principle

- 6: Kevin C. Klement: Grundgesetze and the Sense/Reference Distinction

- 7: Peter Simons: Double Value-Ranges

- 8: Robert C. May and Kai F. Wehmeier: The Proof of Hume's Principle

- 9: William Stirton: Frege's Theorems on Simple Series

- 10: Jamie Tappenden: Infinitesimals, Magnitudes, and Definition in Frege

- 11: Erich H. Reck: Frege's Relation to Dedekind: Basic Laws and Beyond

- 12: Michael Hallett: Frege on Creation

- 13: Philip A. Ebert and Marcus Rossberg: Mathematical Creation in Frege's Grundgesetze

- 14: Eric Snyder and Stewart Shapiro: Frege on the Real Numbers

- 15: Roy T. Cook: Frege's Little Theorem and Frege's Way Out

- 16: Crispin Wright: How did the serpent of inconsistency enter Frege's paradise?

- 17: Matthias Schirn: Second-Order Abstraction Before and After Russell's Paradox

- 18: Richard Kimberly Heck: Formal Arithmetic Before Grundgesetze

- 19: Michael Kremer: Definitions in Begriffsschrift and Grundgesetze

- 20: Michael Beaney: A Brief History of English Translations of Frege's Writings

- 21: Michael Beaney: Translating 'Bedeutung' in Frege's Writings: A Case Study and Cautionary Tale in the History and Philosophy of Translation

- 22: Philip A. Ebert and Marcus Rossberg: Contemporary Reviews of Frege's Grundgesetze

Über Autor(innen)

Philip A. Ebert is Senior Lecturer in Philosophy at the University of Stirling. He received his PhD in Philosophy from the University of St Andrews in 2006 and was a Postdoctoral Research Fellow at the Arché Research Centre from 2005 to 2007.

Marcus Rossberg is Associate Professor of Philosophy at the University of Connecticut. He received his PhD in Philosophy from the University of St Andrews in 2006 and was a Postdoctoral Research Fellow at the Arché Research Centre from 2005 to 2008.