Deflating logical consequence
Philosophical Quarterly 61 (243):320-342 (2011)
| Abstract | 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 | |||||||||
| Keywords | deflationism logical consequence entailment Curry's paradox | |||||||||
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Similar books and articlesStewart Shapiro (2003). The Guru, the Logician, and the Deflationist: Truth and Logical Consequence. Noûs 37 (1):113–132.
J. C. Beall & B. Armour-Garb (eds.) (2006). Deflationism and Paradox. Oxford University Press.
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Greg Restall (2007). Curry's Revenge: The Costs of Non-Classical Solutions to the Paradoxes of Self-Reference. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Ole T. Hjortland (2009). The Structure of Logical Consequence : Proof-Theoretic Conceptions. Dissertation, University of St Andrews
William H. Hanson (1999). Ray on Tarski on Logical Consequence. Journal of Philosophical Logic 28 (6):605-616.
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