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Full Description
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.
Contents
Philip A. Ebert and Marcus Rossberg: 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