Cover: Frege’s Philosophy of Mathematics, from Harvard University PressCover: Frege’s Philosophy of Mathematics in PAPERBACK

Frege’s Philosophy of Mathematics

Edited by William Demopoulos

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Product Details


$52.50 • £42.95 • €47.50

ISBN 9780674319431

Publication Date: 03/25/1997


480 pages

6-3/8 x 9-1/4 inches

3 line illustrations


  • Preface
  • Introduction [William Demopoulos]
  • Appendix [John L. Bell]
  • I. The Intellectual Background to Frege’s Logicism
    • 1. Kant, Bolzano and the Emergence of Logicism [Alberto Coffa]
    • 2. Frege: The Last Logicist [Paul Benacerraf]
    • 3. Frege and the Rigorization of Analysis [William Demopoulos]
    • 4. Frege and Arbitrary Functions [John P. Burgess]
    • 5. Frege: The Royal Road from Geometry (& Postscript) [Mark Wilson]
  • II. The Mathematical Content of Begriffsschrift and Grundlagen
    • 6. Reading the Begriffsschrift [George Boolos]
    • 7. Frege’s Theory of Number (& Postscript) [Charles Parsons]
    • 8. The Consistency of Frege’s Foundations of Arithmetic [George Boolos]
    • 9. The Standard of Equality of Numbers [George Boolos]
  • III. Grundgesetze der Arithmetik
    • 10. The Development of Arithmetic in Frege’s Grundgesetze der Arithmetik (& Postscript) [Richard G. Heck, Jr.]
    • 11. Definition by Induction in Frege’s Grundgesetze der Arithmetik [Richard G. Heck, Jr.]
    • 12. Eudoxus and Dedekind: On the Ancient Greek Theory of Ratios and Its Relation to Modern Mathematics [Howard Stein]
    • 13. Frege’s Theory of Real Numbers [Peter M. Simons]
    • 14. Frege’s Theory of Real Numbers [Michael Dummett]
    • 15. On a Question of Frege’s about Right-ordered Groups (& Postscript) [Peter M. Neumann, S. A. Adeleke and Michael Dummett]
    • 16. On the Consistency of the First-order Portion of Frege’s Logical System [Terence Parsons]
    • 17. Fregean Extensions of First-order Theories [John L. Bell]
    • 18. Saving Frege from Contradiction [George Boolos]
  • Index of Frege’s Writings
  • General Index

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