David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
I want to analyse the Quine-Carnap discussion on analyticity with regard to logical, mathematical and set-theoretical statements. In recent years, the renewed interest in Carnap’s work has shed a new light on the analytic-synthetic debate. If one fully appreciates Carnap’s conventionalism, one sees that there was not a metaphysical debate on whether there is an analytic-synthetic distinction, but rather a controversy on the expedience of drawing such a distinction. However, on this view, there can be no longer a single analytic-synthetic distinction, because several kinds of statements could be regarded as analytic (L-determinate). L-equivalence between extra-logical linguistic predicates has already been heavily debated. The recent consensus states that Quine’s rejection of this analytic-synthetic is pragmatically grounded in his linguistic behaviorism. However, Carnap’s logical frameworks also contain other kinds of statements, and it is worthwhile to compare both Quine and Carnap’s grounds for considering these statements as analytic or not analytic. First, I will discuss logical statements. I will argue that Quine draws a very sharp distinction between first order logic and set theory, which should be regarded as a (pragmatic) analytic-synthetic distinction (as Quine admits in an interview, see Theoria, 40, 1994, p. 199). In fact, Quine’s major worry is whether identity statements are analytic. Second, I will discuss mathematical statements. In Carnap’s Foundations of Logic and Mathematics, it is clear that mathematical statements are analytic. For Quine, all mathematical statements are reducible to set-theoretical statements. Third, I discuss the analyticity of set-theoretical statements. For Quine, the membership predicate should be regarded as an interpreted extra-logical predicate. Quine’s work in set theory and his later philosophy of set theory naturally lead to the view that set-theoretical statements cannot be analytic. A major complication for the Quine-Carnap comparison is that Carnap has no elaborate reflections on set theory, while the influence of set theory on Quine’s views can hardly be underestimated. I conclude with some lessons for the contemporary debate on analyticity.
|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
No citations found.
Similar books and articles
Gregory Lavers (2012). On the Quinean-Analyticity of Mathematical Propositions. Philosophical Studies 159 (2):299-319.
Paul Artin Boghossian (1996). Analyticity Reconsidered. Noûs 30 (3):360-391.
Robert Barrett (1965). Quine, Synonymy and Logical Truth. Philosophy of Science 32 (3/4):361-367.
Marian David (1996). Analyticity, Carnap, Quine, and Truth. Philosophical Perspectives 10:281 - 296.
Willem R. de Jong (2001). Bernard Bolzano, Analyticity and the Aristotelian Model of Science. Kant-Studien 92 (3):328-349.
Cory Juhl (2009). Analyticity. Routledge.
Eric J. Loomis (2006). Empirical Equivalence in the Quine-Carnap Debate. Pacific Philosophical Quarterly 87 (4):499–508.
John P. Burgess (2004). Quine, Analyticity and Philosophy of Mathematics. Philosophical Quarterly 54 (214):38–55.
Paolo Mancosu (2005). Harvard 1940–1941: Tarski, Carnap and Quine on a Finitistic Language of Mathematics for Science. History and Philosophy of Logic 26 (4):327-357.
Added to index2009-01-28
Total downloads169 ( #21,848 of 1,911,056 )
Recent downloads (6 months)9 ( #68,712 of 1,911,056 )
How can I increase my downloads?