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Frege: Identity Challenges Reflection argues against the view of identity as a binary relation between objects, and shows that Frege maintained a sign-based conception of identity from earlier to later work. Pardey and Wehmeier argue that this theory of identity offers an elegant integration of identity into predicate logic.
List of contents
- Foreword
- Abbreviations of Works by Frege
- General Introduction
- Part I Frege's Conception of Identity
- 0: Preliminary Remarks
- 1: Identity in CS and in SR
- 2: Bifurcation in Meaning
- 3: Arithmetic Equality and Equality of Content
- 4: Frege's Adoption of Leibniz's Conception
- 5: The Structure of the First Paragraph of SR
- 6: Cognitive Value
- 7: The Trivial Conception of Self-Identity
- 8: The Arbitrary Connection
- 9: A Transition Step
- 10: The Connection via Mode of Presentation
- 11: Objections from Translation
- 12: Conclusion of Part I
- 13: Appendix: Frege's Texts
- Part II Against Objectual Identity
- 0: Roadmap
- 1: Notions of Identity
- 2: Identity and Quantification
- 3: Identity and Wittgensteinian Quantifiers
- 4: The CS Theory of Identity
- 5: Identity and Arity
- General Conclusion
- Bibliography
- Index
About the author
Ulrich Pardey was awarded a doctorate in philosophy from the University of Frankfurt/Main in 1973. He held professional musician positions in Cologne and Dinslaken. He was appointed as Professor of Logic and Philosophy of Language at Ruhr-Universit:at Bochum in 1998, and has been Emeritus Professor since 2012.
Kai F. Wehmeier holds a doctorate in mathematical logic from the University of Münster (1996), and a master's degree in philosophy from Ruhr-Universit:at Bochum (1999). He received post-doctoral appointments in M:unster, Leiden, and T:ubingen, and held faculty positions at the University of California, Irvine (2002). He is currently Dean's Professor of Logic and Philosophy of Science and Professor of Language Science at the University of California, Irvine.
Summary
Frege: Identity Challenges Reflection argues against the view of identity as a binary relation between objects, and shows that Frege maintained a sign-based conception of identity from earlier to later work. Pardey and Wehmeier argue that this theory of identity offers an elegant integration of identity into predicate logic.
