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

Add to Cart

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

Recent News

From Our Blog

Jacket: What Stars Are Made Of: The Life of Cecilia Payne-Gaposchkin, by Donovan Moore, from Harvard University Press

The Most Famous Astronomer You’ve Never Heard Of

Despite her pioneering contributions to science, Cecilia Payne-Gaposchkin has not always been recognized as one of the most influential scientists of the twentieth century. In What Stars Are Made Of, Donovan Moore sets out to change this, with the first full biography of this trailblazing scientist. To celebrate the International Day of Women and Girls in Science, we are pleased to highlight five

‘manifold glories of classical Greek and Latin’

The digital Loeb Classical Library ( extends the founding mission of James Loeb with an interconnected, fully searchable, perpetually growing virtual library of all that is important in Greek and Latin literature.