Mending the master: John P. Burgess, fixing Frege. Princeton, N. J.: Princeton university press, 2005. ISBN 0-691-12231-8. Pp. XII + 257 [Book Review]
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 14 (3):338-400 (2006)
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 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. 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 book is accordingly ‘a survey of various modified Fregean systems, attempting to determine the scope and limits of each’ .2 The book's agenda is thus predominantly technical, and its spirit open-minded and experimental. The author has no strong commitments of either a technical or a philosophical nature …
|Keywords||No keywords specified (fix it)|
|Categories||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.
Robin Osborne (2006). Ober (J.) Athenian Legacies. Essays on the Politics of Going on Together. Pp. Xiv + 273, Ills. Princeton and Oxford: Princeton University Press, 2005. Cased, £18.95. ISBN: 0-691-12095-. [REVIEW] The Classical Review 56 (02):404-.
Michael Liston (2007). Roland Omnès. Converging Realities: Towards a Common Philosophy of Physics and Mathematics. Princeton and Oxford: Princeton University Press, 2005. Pp. XVII + 264. Isbn 0-691-11530-. [REVIEW] Philosophia Mathematica 15 (2):257-267.
Stathis C. Stiros (2009). Archaeoseismology (A.) Nur Apocalypse. Earthquakes, Archaeology, and the Wrath of God. With Dawn Burgess. Pp. Xiv + 309, Ills, Maps. Princeton and Oxford: Princeton University Press, 2008. Cased, £15.95, US$26.95. ISBN: 978-0-691-01602-. [REVIEW] The Classical Review 59 (02):572-.
Bob Cowan (2008). Reed (J.D.) Virgil's Gaze: Nation and Poetry in the Aeneid. Pp. Xii + 226. Princeton and Oxford: Princeton University Press, 2007. Cased, £26.95, US$39.50. ISBN: 978-0-691-12740-. [REVIEW] The Classical Review 58 (01):125-126.
Margaret H. Williams (2004). Judaea and its Rulers S. Schwartz: Imperialism and Jewish Society, 200 B.C.E. To 640 C.E. Pp. XII + 320. Princeton and Oxford: Princeton University Press, 2001. Cased, £27.95. Isbn: 0-691-08850-. [REVIEW] The Classical Review 54 (02):506-.
Eberhard Sauer (2001). Going Native P. S. Wells: The Barbarians Speak. How the Conquered Peoples Shaped Roman Europe . Pp. Xii + 335, Figs. Princeton: Princeton University Press, 1999. Paper, £18.95. ISBN: 0-691-05871-. [REVIEW] The Classical Review 51 (01):127-.
Jonathan Barnes (2001). Finding Things Out W.-R. Mann: The Discovery of Things: Aristotle's Categories and Their Context . Pp. Xii + 231. Princeton: Princeton University Press, 2000. [REVIEW] The Classical Review 51 (01):64-.
Michael C. Scott (2011). Ostracism (S.) Forsdyke Exile, Ostracism, and Democracy. The Politics of Expulsion in Ancient Greece. Pp. Xvi + 344. Princeton and Oxford: Princeton University Press, 2005. Cased, £29.95, US$45. ISBN: 978-0-691-11975-5. [REVIEW] The Classical Review 61 (02):528-530.
Added to index2009-01-28
Total downloads30 ( #90,983 of 1,699,699 )
Recent downloads (6 months)7 ( #88,892 of 1,699,699 )
How can I increase my downloads?