David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Philosophia Mathematica 2 (2):122-147 (1994)
Michael Dummett mounts, in Frege: Philosophy of Mathematics, a concerted attack on the attempt, led by Crispin Wright, to salvage defensible versions of Frege's platonism and logicism in which Frege's criterion of numerical identity plays a leading role. I discern four main strands in this attack—that Wright's solution to the Caesar problem fails; that explaining number words contextually cannot justify treating them as enjoying robust reference; that Wright has no effective counter to ontological reductionism; and that the attempt is vitiated by the unavoidable impredicativity of its leading principle—and argue that none of them succeeds.
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Citations of this work BETA
Bob Hale & Crispin Wright (2009). Focus Restored: Comments on John MacFarlane. Synthese 170 (3):457 - 482.
Katherine Hawley (2007). Neo‐Fregeanism and Quantifier Variance. Aristotelian Society Supplementary Volume 81 (1):233 - 249.
James Levine (2006). Analysis, Abstraction Principles, and Slingshot Arguments. Ratio 19 (1):43–63.
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