This collection of essays addresses three main developments in recent work on Frege's philosophy of mathematics: the interest in the intellectual background to his logicism; the rediscovery of Frege's theorem; and the re-evaluation of the mathematical content of "The Basic Laws of Arithmetic".

Widespread interest in Frege's general philosophical writings has been elicited by the discovery of the mathematical properties of Frege's contextual definition of number and of the character of his proposals for a theory of the real numbers. This 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 re-evaluation of the mathematical content of "The Basic Laws of Arithmetic". Each essay attempts a sympathetic, if not uncritical, reconstruction, evaluation or extension of a facet of Frege's theory of arithmetic. Together they form an accessible and authoritative introduction to aspects of Frege's thought.

Introduction, William Demopoulos
appendix, John L. Bell. Part 1 The intellectual background to Frege's logicism: Kant, Bolzano and the emergence of logicism, Alberto Coffa
Frege - the last logicist, Paul Benacerraf
Frege and the rigorization of analysis, William Demopoulos
Frege and arbitrary functions, John P. Burgess
Frege - the royal road from geometry - postscript, Mark Wilson. Part 2 The mathematical content of Begriffsschrift and Grundlageng: Reading the Begriffsschrift, Geoge Boolos
Frege's Theory of number - postscript, Charles parsons
The consistency of Frege's "Foundation of arithmetics", George Boolos
The standard of equality of numbers, George Boolos. Part 3 Grundgesetze der arithmetik: The development of arithmetic in Frege's "Grundgesetze der arithmetik - postscript, Richard G. Heck, Jr. Definition by induction in Frege's Grundgesetze der arithmetik, Richard G. Heck, Jr.
Eudoxus and Dedekind - on the ancient Greek theory of ratios and its relation to modern mathematics, Howard Stein
Frege's theory of real numbers, Peter M. Simons
Frege's theory of real number, Michael Dummett
On a question of Frege's about right-ordered groups, - postscript, Peter M. Newmann et al
On the consistency of the first-order portion of Frege's logical system, Terence Parsons
Fregean extensions of first-order theories, John L. Bell
Saving Frege from contradiction, George Boolos.