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- John P. Burgess (2004). Quine, Analyticity and Philosophy of Mathematics. Philosophical Quarterly 54 (214):38–55.Quine correctly argues that Carnap's distinction between internal and external questions rests on a distinction between analytic and synthetic, which Quine rejects. I argue that Quine needs something like Carnap's distinction to enable him to explain the obviousness of elementary mathematics, while at the same time continuing to maintain as he does that the ultimate ground for holding mathematics to be a body of truths lies in the contribution that mathematics makes to our overall scientific theory of the world. Quine's arguments against the analytic/synthetic distinction, even if fully accepted, still leave room for a notion of pragmatic analyticity sufficient for the indicated purpose.
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Quine criticised the semantic notion of analyticity that is often attributed to Frege and Kant for presupposing an essentialist theory of meaning. In what follows I trace back the notion from Quine via Carnap to Frege and Kant, and eventually examine Kant's distinction between analytic and synthetic judgements in more detail. It turns out that the so called Frege-Kant-notion of analyticity can not be attributed to Kant. In contrast, Kant had a distinctly pragmatic notion of analytic judgements. According to him analytic propositions elucidate certain presuppositions of our conceptual scheme, thereby serving the anti-metaphysical project of transcendental philosophy.
This paper is a reexamination of Two Dogmas in the light of Quine's ongoing debate with Carnap over analyticity. It shows, first, that analytic is a technical term within Carnap's epistemology. As such it is intelligible, and Carnap's position can meet Quine's objections. Second, it shows that the core of Quine's objection is that he (Quine) has an alternative epistemology to advance, one which appears to make no room for analyticity. Finally, the paper shows that Quine's alternative epistemology is itself open to very serious objections. Quine is not thereby refuted, but neither can Carnap's analyticity be dismissed as dogma.
Alexander George has put forward a novel interpretation of the Quine-Carnap debate over analyticity. George argues that Carnap's claim that there exists an analytic-synthetic distinction was held by Carnap to be empty of empirical consequences. As a result, Carnap understood his position to be empirically indistinguishable from Quine's. Although George defends his interpretation only briefly, I show that it withstands further examination and ought to be accepted. The consequences of accepting it undermine a common understanding of Quine's criticism of Carnap, and I argue that it is difficult to find a perspective from which Quine can criticize Carnap in a non-question-begging way.
This is what many philosophers believe today about the analytic/synthetic distinction: In his classic early writings on analyticity -- in particular, in "Truth by Convention," "Two Dogmas of Empiricism," and "Carnap and Logical Truth" -- Quine showed that there can be no distinction between sentences that are true purely by virtue of their meaning and those that are not. In so doing, Quine devastated the philosophical programs that depend upon a notion of analyticity -- specifically, the linguistic theory of necessary truth, and the analytic theory of a priori knowledge.
Conceptions of analytic truth -- Hume's fork -- Kant and the analytic/synthetic distinction -- Synthetic a priori propositions -- Bolzano and analyticity -- Analyticity in frege -- Russell's paradox and the theory of descriptions -- The Vienna circle -- Carnap and logical empiricism -- Carnap and Quine -- Demise of the aufbau -- Philosophy as logical syntax -- Logical and descriptive languages -- Physical languages -- Analyticity in syntax -- Carnap's move to semantics -- Explications -- Analyticity in a semantic setting -- Eliminating metaphysics : Carnap's final try -- W.V. Quine : explication is elimination -- Behaviorists ex officio -- Analyticity in the crosshairs -- Analyticity and its discontents -- Questioning analyticity -- Quine's two dogmas of empiricism -- Objections to the coherence of analytic -- Quine's coherence arguments : Carnap's reply -- Other responses to the coherence objection : Grice and Strawson on Quine -- A second dogma of empiricism -- Responses to the existence objections to analyticity -- Analyticity by convention -- Quine's developed attitude toward analyticity -- Analyticity and ontology -- Quine's naturalized ontology -- The indeterminacy of translation -- Some consequences of the indeterminacy arguments : ontological relativity and analyticity -- Responses to Quine's indeterminacy arguments -- Carnap's empiricism, semantics, and ontology -- Some Quinean and other responses to empiricism, semantics, and ontology -- Some recent connections between conceptual truths and ontology -- Quine's criterion of ontological commitment, causality, and exists -- Eli Hirsch and Ted Sider on mereological principles -- The Canberra Project : a resurrection of Carnap's aufbau -- Analyticity and epistemology -- Analytic truths and their role in epistemology : the classical position -- Objecting to the classical position -- Bonjour on moderate empiricism -- Quine's epistemology naturalized -- Quine and evidence : responses to circularity -- Kripke on a priority, analyticity, and necessity -- Analyticity repositioned -- The concept analytic -- One type of statement that might be reasonably called analytic -- Aside on two dimensionalism -- Analyticity and T-analyticity -- How analyticity avoids many common objections to analyticity -- Some brief comments on two other approaches to analyticity -- Mathematical claims as T-analytic -- A further potential application : pure and impure stipulata.
Conceptions of analytic truth -- Hume's fork -- Kant and the analytic/synthetic distinction -- Synthetic a priori propositions -- Bolzano and analyticity -- Analyticity in frege -- Russell's paradox and the theory of descriptions -- The Vienna circle -- Carnap and logical empiricism -- Carnap and Quine -- Demise of the aufbau -- Philosophy as logical syntax -- Logical and descriptive languages -- Physical languages -- Analyticity in syntax -- Carnap's move to semantics -- Explications -- Analyticity in a semantic setting -- Eliminating metaphysics : Carnap's final try -- W.V. Quine : explication is elimination -- Behaviorists ex officio -- Analyticity in the crosshairs -- Analyticity and its discontents -- Questioning analyticity -- Quine's two dogmas of empiricism -- Objections to the coherence of analytic -- Quine's coherence arguments : Carnap's reply -- Other responses to the coherence objection : Grice and Strawson on Quine -- A second dogma of empiricism -- Responses to the existence objections to analyticity -- Analyticity by convention -- Quine's developed attitude toward analyticity -- Analyticity and ontology -- Quine's naturalized ontology -- The indeterminacy of translation -- Some consequences of the indeterminacy arguments : ontological relativity and analyticity -- Responses to Quine's indeterminacy arguments -- Carnap's empiricism, semantics, and ontology -- Some Quinean and other responses to empiricism, semantics, and ontology -- Some recent connections between conceptual truths and ontology -- Quine's criterion of ontological commitment, causality, and exists -- Eli Hirsch and Ted Sider on mereological principles -- The Canberra Project : a resurrection of Carnap's aufbau -- Analyticity and epistemology -- Analytic truths and their role in epistemology : the classical position -- Objecting to the classical position -- Bonjour on moderate empiricism -- Quine's epistemology naturalized -- Quine and evidence : responses to circularity -- Kripke on a priority, analyticity, and necessity -- Analyticity repositioned -- The concept analytic -- One type of statement that might be reasonably called analytic -- Aside on two dimensionalism -- Analyticity and T-analyticity -- How analyticity avoids many common objections to analyticity -- Some brief comments on two other approaches to analyticity -- Mathematical claims as T-analytic -- A further potential application : pure and impure stipulata.
Recently O'Grady argued that Quine's "Two Dogmas" misses its mark when Carnap's use of the analyticity distinction is understood in the light of his deflationism. While in substantial agreement with the stress on Carnap's deflationism, I argue that O'Grady is not sufficiently sensitive to the difference between using the analyticity distinction to support deflationism, and taking a deflationary attitude towards the distinction itself; the latter being much more controversial. Being sensitive to this difference, and viewing Quine as having reason to insist on a non-arbitrary analyticity distinction, we see that "Two Dogmas" makes direct contact with Carnap's deflationism. We must look beyond "Two Dogmas" to Quine's other critiques of analyticity to understand why the arbitrariness of the distinction threatens to undermine or overextend Carnap's deflationism, collapsing it into a view much like Quine's. Quine is then seen to achieve many of Carnap's ends, with the important exception of deflationism.
Recently O’Grady argued that Quine’s “Two Dogmas” misses its mark when Carnap’s use of the analyticity distinction is understood in the light of his deflationism. While in substantial agreement with the stress on Carnap’s deflationism, I argue that O’Grady is not sufficiently sensitive to the difference between using the analyticity distinction to support deflationism, and taking a deflationary attitude towards the distinction itself; the latter being much more controversial. Being sensitive to this difference, and viewing Quine as having reason to insist on a non-arbitrary analyticity distinction, we see that “Two Dogmas” makes direct contact with Carnap’s deflationism. We must look beyond “Two Dogmas” to Quine’s other critiques of analyticity to understand why the arbitrariness of the distinction threatens to undermine or overextend Carnap’s deflationism, collapsing it into a view much like Quine’s. Quine is then seen to achieve many of Carnap’s ends, with the important exception of deflationism.
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.
Quine’s paper “Two Dogmas of Empiricism” is famous for its attack on analyticity and the analytic/synthetic distinction. But there is an element of Quine’s attack that should strike one as extremely puzzling, namely his objection to Carnap’s account of analyticity. For it appears that, if this objection works, it will not only do away with analyticity, it will also do away with other semantic notions, notions that (or so one would have thought) Quine does not want to do away with, in particular, it will also do away with truth. I shall argue that there is, indeed, no way for Quine to protect truth against the type of argument he himself advanced in “Two Dogmas” against Carnap’s notion of analyticity. If he wants to keep his argument, Quine has to discard truth along with analyticity. At the end of the paper I suggest an interpretation of Quine on which he can be seen as having done just that.
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