On the Quinean-analyticity of mathematical propositions

Philosophical Studies 159 (2):299-319 (2012)
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.
Keywords Carnap  Quine  Analyticity  Explication  Mathematics
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DOI 10.1007/s11098-011-9709-2
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Paul Benacerraf (1965). What Numbers Could Not Be. Philosophical Review 74 (1):47-73.

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