Informationen zum Autor 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. Klappentext 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. Zusammenfassung Addresses fundamental questions: What is mathematics about, and, How do we know it? This work features introduction, postscript, bibliographies, and an essay on a key problem. It offers a presentation of the controversial neo-Fregean view that mathematical knowledge may be based a priori on logic and definitional abstraction principles. Inhaltsverzeichnis Origins of the Essays Introduction I. Ontology and Abstraction Principles 1: Bob Hale: Singular Terms (1) 2: Bob Hale: Singular Terms (2) 3: Crispin Wright: 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 4: Bob Hale: Grundlagen 64 5: Bob Hale and Crispin Wright: Implicit Definition and the A Priori II. Responses to Critics 6: Crispin Wright: Field and Fregean Platonism 7: Bob Hale: Is Platonism Epistemologically Bankrupt? 8: Bob Hale: Dummett's Critique of Wright's Attempt to Resuscitate Frege 9: Crispin Wright: Critical Notice of Michael Dummett's Frege: Philosophy of Mathematics III. Hume's Principle 10: Crispin Wright: On the Harmless Impredicativity of Hume's Principle 11: Crispin Wright: Response to Dummett 12: Crispin Wright: On the Philosophical Significance of Frege's Theorem 13: Crispin Wright: Is Hume's Principle Analytic? IV. On the Differentiation of Abstracta 14: Bob Hale and Crispin Wright: To Bury Caesar... V. Beyond Number-theory 15: Bob Hale: Reals by Abstraction Postscript: Eighteen Problems Bibliography Bibliography of further relevant writings Index ...

Klappentext

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.

Zusammenfassung
Addresses fundamental questions: What is mathematics about, and, How do we know it? This work features introduction, postscript, bibliographies, and an essay on a key problem. It offers a presentation of the controversial neo-Fregean view that mathematical knowledge may be based a priori on logic and definitional abstraction principles.

Inhalt

• Origins of the Essays

• Introduction

• I. Ontology and Abstraction Principles

• 1: Bob Hale: Singular Terms (1)

• 2: Bob Hale: Singular Terms (2)

• 3: Crispin Wright: 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

• 4: Bob Hale: Grundlagen 64

• 5: Bob Hale and Crispin Wright: Implicit Definition and the A Priori

• II. Responses to Critics

• 6: Crispin Wright: Field and Fregean Platonism

• 7: Bob Hale: Is Platonism Epistemologically Bankrupt?

• 8: Bob Hale: Dummett's Critique of Wright's Attempt to Resuscitate Frege

• 9: Crispin Wright: Critical Notice of Michael Dummett's Frege: Philosophy of Mathematics

• III. Hume's Principle

• 10: Crispin Wright: On the Harmless Impredicativity of Hume's Principle

• 11: Crispin Wright: Response to Dummett

• 12: Crispin Wright: On the Philosophical Significance of Frege's Theorem

• 13: Crispin Wright: Is Hume's Principle Analytic?

• IV. On the Differentiation of Abstracta

• 14: Bob Hale and Crispin Wright: To Bury Caesar...

• V. Beyond Number-theory

• 15: Bob Hale: Reals by Abstraction

• Postscript: Eighteen Problems

• Bibliography

• Bibliography of further relevant writings

• Index