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Benacerraf's Dilemma and Informal Mathematics

Title:

Benacerraf's Dilemma and Informal Mathematics

Lavers, Gregory (2009) Benacerraf's Dilemma and Informal Mathematics. The Review of Symbolic Logic, 2 (4). pp. 769-785. ISSN 1755-0203

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Abstract

This paper puts forward and defends an account of mathematical truth, and in particular an account of the truth of mathematical axioms. The proposal attempts to be completely nonrevisionist. In this connection, it seeks to satisfy simultaneously both horns of Benacerraf’s dilemma. The account builds upon Georg Kreisel’s work on informal rigour. Kreisel defends the view that axioms are arrived at by a rigorous examination of our informal notions, as opposed to being stipulated or arrived at by trial and error. This view is then supplemented by a Fregean account
of the objectivity and our knowledge of abstract objects. It is then argued that the resulting view faces no insurmountable metaphysical or epistemic obstacles.

Divisions:Concordia University > Faculty of Arts and Science > Philosophy
Item Type:Article
Refereed:Yes
Authors:Lavers, Gregory
Journal or Publication:The Review of Symbolic Logic
Date:December 2009
Keywords:Benacerraf's Dilemma; Frege; Kreisel; Abstract Objects
ID Code:6466
Deposited By:GREGORY LAVERS
Deposited On:11 Jan 2010 16:41
Last Modified:01 Jan 2011 01:38
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