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On the Quinean-analyticity of mathematical propositions

Title:

On the Quinean-analyticity of mathematical propositions

Lavers, Gregory (2011) On the Quinean-analyticity of mathematical propositions. Philosophical Studies . ISSN 1573-0883 (In Press)

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Official URL: http://dx.doi.org/10.1007/s11098-011-9709-2

Abstract

This paper investigates the relation between Carnap and Quine’s views on analyticity on the one hand, and their views on philosophical analysis or explication on the other. I argue that the stance each takes on what constitutes a successful explication largely dictates the view they take on analyticity. I show that although acknowledged by neither party (in fact Quine frequently expressed his agreement with Carnap on this subject) their views on explication are substantially different. I argue that this difference not only explains their differences on the question of analyticity, but points to a Quinean way to answer a challenge that Quine posed to Carnap. The answer to this challenge leads to a Quinean view of analyticity such that arithmetical truths are analytic, according to Quine’s own remarks, and set theory is at least defensibly analytic.

Divisions:Concordia University > Faculty of Arts and Science > Philosophy
Item Type:Article
Refereed:Yes
Authors:Lavers, Gregory
Journal or Publication:Philosophical Studies
Date:February 2011
ID Code:7106
Deposited By:GREGORY LAVERS
Deposited On:22 Mar 2011 16:42
Last Modified:22 Mar 2011 16:42
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