David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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.
|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
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.
Similar books and articles
Peter M. Sullivan (2010). Michael Dummett's Frege. In Tom Ricketts & Michael D. Potter (eds.), The Cambridge Companion to Frege. Cambridge University Press.
Nikolaj Jang Lee Linding Pedersen (2009). Solving the Caesar Problem Without Categorical Sortals. Erkenntnis 71 (2):141 - 155.
Michael Dummett (1976). I. Frege as a Realist. Inquiry 19 (1-4):455-468.
Hans D. Sluga (1977). Frege's Alleged Realism. Inquiry 20 (1-4):227 – 242.
Crispin Wright (1997). On the Philosophical Significance of Frege's Theorem. In R. Heck (ed.), Language, Thought, and Logic: Essays in Honour of Michael Dummett. Oxford University Press. 201--44.
Peter Sullivan & Michael Potter (1997). Hale on Caesar. Philosophia Mathematica 5 (2):135--52.
Jan Dejnožka (2010). Dummett's Forward Road to Frege and to Intuitionism. Diametros 25:118-131.
Gregory Currie (1983). I. Interpreting Frege: A Reply to Michael Dummett. Inquiry 26 (3):345 – 359.
Michael A. E. Dummett (1991). Frege: Philosophy of Mathematics. Harvard University Press.
Added to index2009-01-28
Total downloads29 ( #84,968 of 1,696,586 )
Recent downloads (6 months)2 ( #247,412 of 1,696,586 )
How can I increase my downloads?