Description
Book SynopsisThis collection of essays addresses three main developments in recent work on Frege’s philosophy of mathematics: the emerging interest in the intellectual background to his logicism; the rediscovery of Frege’s theorem; and the reevaluation of the mathematical content of
The Basic Laws of Arithmetic.
Trade ReviewScholarly, thorough, and well presented...This collection presents material that has important philosophical implications. -- Gordon Baker * Times Higher Education Supplement *
This is clearly the best collection of articles on Frege's philosophy of mathematics in existence today. It is also (unlike many collections of articles that are published these days) practically very useful. It serves as an excellent introduction to what is the liveliest part of Frege scholarship today, and to what has become an important sub-field of contemporary philosophy of mathematics, namely the understanding and assessment of the logistic project. -- Leon Horsten * Zentralblatt MATH *
Distinctive, indeed, unique, in its concentration on the formal argument in Frege's work. There is no other secondary work in any form which engages the formal argument through the whole of Frege's project. These essays motivate the work, and locate it philosophically, rendering it independent of other secondary sources. -- Kenneth Manders, University of Pittsburgh
Table of ContentsPreface Introduction William Demopoulos Appendix John L. Bell 1. The Intellectual Background to flege'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 2. 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 3. Grundgesetze der Arithmetik 10. The Development of Arithmetic in Frege's Grundgesetze der Arithmetik Postscript Richard C. Heck, Jr. 11. Definition by Induction in Frege's Grundgesetze der Arithmetik, Richard C. 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 Dumrnett 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
