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- J. C. Beall & B. Armour-Garb (2006). Deflationism and Paradox. Oxford University Press.
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It has been argued that deflationary theories of truth stumble over the normativity of truth. This paper maintains that the normativity objection does not pose problems to at least one version of deflationism, minimalism. The rest of the paper discusses truth-related norms, showing that either they do not hold or they are not troublesome for deflationism.
Curry's paradox, so named for its discoverer, namely Haskell B. Curry, is a paradox within the family of so-called paradoxes of self-reference (or paradoxes of circularity). Like the liar paradox (e.g., ‘this sentence is false’) and Russell's paradox , Curry's paradox challenges familiar naive theories, including naive truth theory (unrestricted T-schema) and naive set theory (unrestricted axiom of abstraction), respectively. If one accepts naive truth theory (or naive set theory), then Curry's paradox becomes a direct challenge to one's theory of logical implication or entailment. Unlike the liar and Russell paradoxes Curry's paradox is negation-free; it may be generated irrespective of one's theory of negation. An intuitive version of the paradox runs as follows.
After putting forward his celebrated deflationary theory of truth (Horwich, 1998a), Paul Horwich added a compatible theory of meaning (Horwich, 1998b). I am calling also this latter theory deflationism (although it may be a slightly misleading name in that, as Paul himself notes, his theory of meaning is deflationary more in the sense of being forced by the deflationary theory of truth than of being particularly deflationary in itself). In contrast, what I call inferentialism is the theory of meaning which I am going to advocate here – the view, in a nutshell, that meaning is a matter of inferential role. Various versions of this theory have been defended by Wilfried Sellars, Robert Brandom and a couple of other philosophers including myself. And the thesis I wish to present in this paper – to put it as a provocation right off – is that Paul is an inferentialist led astray. Both deflationism and inferentialism can be seen as elaborations of what can be called the use theory of meaning; for both seem to agree that.
In this article I examine several issues concerning reliabilism and deflationism. I critique Alvin Goldman's account of the key differences between correspondence and deflationary theories and his claim that reliabilism can be combined only with those truth theories that maintain a commitment to truthmakers. I then consider how reliability could be analysed from a deflationary perspective and show that deflationism is compatible with reliabilism. I close with a discussion of whether a deflationary theory of knowledge is possible.
Philosophical work on truth covers two streams of inquiry, one concerning the nature (if any) of truth, the other concerning truth-related paradox, especially the Liar. For the most part these streams have proceeded fairly independently of each other. In his Deflationary Truth and the Liar (JPL 28:455–488, 1999) Keith Simmons argues that the two streams bear on one another in an important way; specifically, the Liar poses a greater problem for deflationary conceptions of truth than it does for inflationist conceptions. We agree with Simmons on this point; however, we disagree with his main conclusion. In a nutshell, Simmons' main conclusion is that deflationists can solve the Liar only by compromising deflationism. If Simmons is right, then deflationists cannot solve the Liar paradox. In this paper we argue that, pace Simmons, there is an approach to the Liar that is available to deflationists, namely dialetheism.
What is truth? -- Varieties of deflationism -- A defense of minimalism -- The value of truth -- A minimalist critique of Tarski -- Kripke's paradox of meaning -- Regularities, rules, meanings, truth conditions, and epistemic norms -- Semantics : what's truth got to do with it? -- The motive power of evaluative concepts -- Ungrounded reason -- The nature of paradox -- A world without 'isms' -- The quest for reality -- Being and truth -- Provenance of chapters.
Deflationists about truth seek to undermine debates about the nature of truth by arguing that the truth predicate is merely a device that allows us to express a certain kind of generality. I argue that a parallel approach is available in the case of logical consequence. Just as deflationism about truth offers an alternative to accounts of truth's nature in terms of correspondence or justification, deflationism about consequence promises an alternative to model-theoretic or proof-theoretic accounts of consequence's nature. I then argue, against considerations put forward by Field and Beall, that Curry's paradox no more rules out deflationism about consequence than the liar paradox rules out deflationism about truth.
In this volume of fourteen original essays, a distinguished team of contributors explore the extent to which, if at all, deflationism can accommodate paradox.
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McGrath argues for an original theory truth that combines elements of two well-known philosophical theories--deflationism and correspondence.
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