Mending the Master
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Fixing Frege is one of the most important investigations to date of Fregean approaches to the foundations of mathematics. In addition to providing an unrivalled survey of the technical program to which Frege’s writings have given rise, the book makes a large number of improvements and clariﬁcations. Anyone with an interest in the philosophy of mathematics will enjoy and beneﬁt from the careful and well informed overview provided by the ﬁrst of its three chapters. Specialists will ﬁnd the book an indispensable reference and an invaluable source of insights and new results. Although Frege is widely regarded as the father of analytic philosophy, his work on the foundations of mathematics was for a long time rather peripheral to the ongoing research. The main reason for this is no doubt Russell’s discovery in 1901 that the paradox now bearing his name can be derived in Frege’s logical system. But recent decades have seen a huge surge of interest in Fregean approaches to the foundations of mathematics. (The work of George Boolos, Kit Fine, Bob Hale, Richard Heck, Stewart Shapiro, and Crispin Wright is singled out for particular attention in the present monograph.) A variety of consistent theories have been discovered that can be salvaged from Frege’s inconsistent system, and foundational and philosophical claims have been made on behalf of many of these theories. Burgess claims quite plausibly that the signiﬁcance of any such modiﬁed Fregean theory will in large part depend on how much of ordinary mathematics it enables us to develop.1 His..
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Øystein Linnebo (2006). Mending the Master (Critical Notice of John Burgess's Fixing Frege). Philosophia Mathematica 14 (3):338-351.
Kevin C. Klement (2001). Russell's Paradox in Appendix B of the Principles of Mathematics : Was Frege's Response Adequate? History and Philosophy of Logic 22 (1):13-28.
Bob Hale (ed.) (2001). The Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics. Oxford University Press.
Erich H. Reck (2013). Frege or Dedekind? Towards a Reevalaution of Their Legacies. In , The Historical Turn in Analytic Philosophy. Palgrave Macmillan.
Michael A. E. Dummett (1991). Frege: Philosophy of Mathematics. Harvard University Press.
John P. Burgess (2005). Fixing Frege. Princeton University Press.
Øystein Linnebo (2006). Mending the Master: John P. Burgess, Fixing Frege. Princeton, N. J.: Princeton University Press, 2005. ISBN 0-691-12231-8. Pp. XII + 257. [REVIEW] Philosophia Mathematica 14 (3):338-400.
Sanford Shieh (2008). Frege on Definitions. Philosophy Compass 3 (5):992-1012.
Jan Wolenński (1997). Hans Sluga (Ed.), The Philosophy of Frege. A Four-Volume Collection of Scholarly Articles on All Aspects of Frege's Philosophy, Vol.1: General Assessments and Historical Accounts of Frege's Philosophy, Vol.2: Logic and Foundations of Mathematics in Frege's Philosophy, Vol.3: Meaning and Ontology in Frege's Philosophy, Vol.4: Sense and Reference in Frege's Philosophy. [REVIEW] Erkenntnis 46 (3):407-410.
Stewart Shapiro (2005). Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-Mathematics. Philosophia Mathematica 13 (1):61-77.
Michael Nelson (2008). Frege and the Paradox of Analysis. Philosophical Studies 137 (2):159 - 181.
Richard Heck (1995). Frege's Principle. In J. Hintikka (ed.), From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics. Kluwer.
Added to index2010-12-22
Total downloads5 ( #227,338 of 1,101,681 )
Recent downloads (6 months)0
How can I increase my downloads?