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Essays on Frege's Basic Laws of Arithmetic - Oxford Scholarship Online
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Essays on Frege's Basic Laws of Arithmetic

Philip A. Ebert and Marcus Rossberg

Abstract

This volume is the first collection of essays that focuses on Frege’s Basic Laws of Arithmetic, vol. I and II, and aims to highlight the technical as well as philosophical richness of Gottlob Frege’s (1848–1925) major work. The companion contains twenty-two original articles by twenty-two Frege scholars, whose contributions discuss a wide range of topics arising from Basic Laws of Arithmetic. The volume aims to make vivid the importance of Frege’s magnum opus not only for Frege scholarship but also for the study of the history of logic, mathematics, and philosophy. With this collection, we cel ... More

Keywords: Frege, Basic Laws of Arithmetic, philosophy of mathematics

Bibliographic Information

Print publication date: 2019 Print ISBN-13: 9780198712084
Published to Oxford Scholarship Online: November 2019 DOI:10.1093/oso/9780198712084.001.0001

Authors

Affiliations are at time of print publication.

Philip A. Ebert, editor
Senior Lecturer, University of Stirling

Marcus Rossberg, editor
Associate Professor, University of Connecticut

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Contents

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1 The Basic Laws of Cardinal Number

Richard Kimberly Heck

2 Axioms in Frege

Patricia A. Blanchette

7 Double Value-Ranges

Peter Simons

8 The Proof of Hume’s Principle

Robert C. May and Kai F. Wehmeier

12 Frege on Creation

Michael Hallett

13 Mathematical Creation in Frege’s Grundgesetze

Philip A. Ebert and Marcus Rossberg

14 Frege on the Real Numbers

Eric Snyder and Stewart Shapiro

22 Contemporary Reviews of Frege’s Grundgesetze

Philip A. Ebert and Marcus Rossberg

End Matter