The Reason's Proper Study: Essays towards a Neo-Fregean Philosophy of Mathematics

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Here, Bob Hale and Crispin Wright assemble the key writings that lead to their distinctive neo-Fregean approach to the philosophy of mathematics. In addition to fourteen previously published papers, the volume features a new paper on the Julius Caesar problem; a substantial new introduction mapping out the program and the contributions made to it by the various papers; a section explaining which issues most require further attention; and bibliographies of references and further useful sources. It will be recognized as the most powerful presentation yet of a neo-Fregean program.

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Product Details

  • ISBN-13: 9780199266326
  • Publisher: Oxford University Press, USA
  • Publication date: 1/15/2004
  • Edition description: New Edition
  • Pages: 470
  • Product dimensions: 9.20 (w) x 6.10 (h) x 0.90 (d)

Meet the Author

Bob Hale is Professor of Metaphysical Philosophy at the University of Glasgow. Crispin Wright is Professor of Logic and Metaphysics, and Wardlaw Professor, at the University of St Andrews.

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Table of Contents

Origins of the Essays
I. Ontology and Abstraction Principles
1. Singular Terms (1), Bob Hale
2. Singular Terms (2), Bob Hale
3. Why Frege Does Not Deserve His Grain of Salt: A Note on the Paradox of 'The Concept Horse' and the Ascription of Bedeutungen to Predicates, Crispin Wright
4. Grundlagen 64, Bob Hale
5. Implicit Definition and the A Priori, Bob Hale and Crispin Wright
II. Responses to Critics
6. Field and Fregean Platonism, Crispin Wright
7. Is Platonism Epistemologically Bankrupt?, Bob Hale
8. Dummett's Critique of Wright's Attempt to Resuscitate Frege, Bob Hale
9. Critical Notice of Michael Dummett's Frege: Philosophy of Mathematics, Crispin Wright
III. Hume's Principle
10. On the Harmless Impredicativity of Hume's Principle, Crispin Wright
11. Response to Dummett, Crispin Wright
12. On the Philosophical Significance of Frege's Theorem, Crispin Wright
13. Is Hume's Principle Analytic?, Crispin Wright
IV. On the Differentiation of Abstracta
14. To Bury Caesar..., Bob Hale and Crispin Wright
V. Beyond Number-theory
15. Reals by Abstraction, Bob Hale
Postscript: Seventeen Problems
Bibliography of further relevant writings

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