David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Mind 99 (393):91-99 (1990)
Some widely accepted arguments in the philosophy of mathematics are fallacious because they rest on results that are provable only by using assumptions that the con- clusions of these arguments seek to undercut. These results take the form of bicon- ditionals linking statements of logic with statements of mathematics. George Boolos has given an argument of this kind in support of the claim that certain facts about second-order logic support logicism, the view that mathematics—or at least part of it—reduces to logic. Hilary Putnam has offered a similar argument for the view that it is indifferent whether we take mathematics to be about objects or about what follows from certain postulates. In this paper I present and rebut these arguments
|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
William Demopoulos (1994). The Contemporary Interest of an Old Doctrine. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:209 - 216.
Alexander Paseau (2010). Pure Second-Order Logic with Second-Order Identity. Notre Dame Journal of Formal Logic 51 (3):351-360.
Gregory H. Moore (1997). Hilbert and the Emergence of Modern Mathematical Logic. Theoria 12 (1):65-90.
Richard Jeffrey (2002). Logicism Lite. Philosophy of Science 69 (3):474-496.
Timothy Bays (2000). The Fruits of Logicism. Notre Dame Journal of Formal Logic 41 (4):415-421.
Ian Proops (2006). Russell’s Reasons for Logicism. Journal of the History of Philosophy 44 (2):267-292.
Otavio Bueno (2001). Logicism Revisited. Principia 5 (1-2):99-124.
José Ferreiros (1997). Notes on Types, Sets, and Logicism, 1930-1950. Theoria 12 (1):91-124.
Bird Alexander (1997). The Logic in Logicism. Dialogue 36:341�60.
Added to index2009-01-28
Total downloads35 ( #69,529 of 1,696,507 )
Recent downloads (6 months)1 ( #342,645 of 1,696,507 )
How can I increase my downloads?