David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal for General Philosophy of Science 40 (2):259 - 276 (2009)
W. V. Quine famously argues that though all knowledge is empirical, mathematics is entrenched relative to physics and the special sciences. Further, entrenchment accounts for the necessity of mathematics relative to these other disciplines. Michael Friedman challenges Quine’s view by appealing to historicism, the thesis that the nature of science is illuminated by taking into account its historical development. Friedman argues on historicist grounds that mathematical claims serve as principles constitutive of languages within which empirical claims in physics and the special sciences can be formulated and tested, where these mathematical claims are themselves not empirical but conventional. For Friedman, their conventional, constitutive status accounts for the necessity of mathematics relative to these other disciplines. Here I evaluate Friedman’s challenge to Quine and Quine’s likely response. I then show that though we have reason to find Friedman’s challenge successful, his positive project requires further development before we can endorse it.
|Keywords||Analytic-synthetic distinction A priori Carnap, R. Constitutive principles Conventionalism Entrenchment Friedman, M. Historicism Kuhn, T. Quine, W. V|
|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
Kelly Becker (2002). Kuhn's Vindication of Quine and Carnap. History of Philosophy Quarterly 19 (2):217 - 235.
Laurence BonJour (1998). In Defense of Pure Reason. Cambridge University Press.
Harold I. Brown (2005). Incommensurability Reconsidered. Studies in History and Philosophy of Science Part A 36 (1):149-169.
John P. Burgess (2004). Quine, Analyticity and Philosophy of Mathematics. Philosophical Quarterly 54 (214):38–55.
Rudolf Carnap (1937). The Logical Syntax of Language. London, K. Paul, Trench, Trubner & Co., Ltd..
Citations of this work BETA
Nathaniel Goldberg (2011). Interpreting Thomas Kuhn as a Response-Dependence Theorist. International Journal of Philosophical Studies 19 (5):729 - 752.
Similar books and articles
Tom G. Palmer (1998). What'snotwrong with Libertarianism: Reply to Friedman. Critical Review 12 (3):337-358.
Robert A. Holland (1992). Apriority and Applied Mathematics. Synthese 92 (3):349 - 370.
Yemima Ben-Menahem (2006). Conventionalism. Cambridge University Press.
David Liggins (2008). Quine, Putnam, and the 'Quine-Putnam' Indispensability Argument. Erkenntnis 68 (1):113 - 127.
Mary Leng (2010). Mathematics and Reality. OUP Oxford.
Dan McArthur (2008). Theory Change, Structural Realism, and the Relativised a Priori. International Studies in the Philosophy of Science 22 (1):5 – 20.
Yemima Ben-menahem (2005). Black, White and Gray: Quine on Convention. Synthese 146 (3):245 - 282.
Jonathan Y. Tsou (2003). A Role for Reason in Science. Dialogue 42 (3):573-598.
Added to index2009-12-21
Total downloads58 ( #28,558 of 1,099,786 )
Recent downloads (6 months)36 ( #3,839 of 1,099,786 )
How can I increase my downloads?