Thought: A Journal of Philosophy 2 (1):100-107 (2013)

Authors
Lionel Shapiro
University of Connecticut
Abstract
Several authors have argued that a version of Curry's paradox involving validity motivates rejecting the structural rule of contraction. This paper criticizes two recently suggested alternative responses to “validity Curry.” There are three salient stages in a validity Curry derivation. Rejecting contraction blocks the first, while the alternative responses focus on the second and third. I show that a distinguishing feature of validity Curry, as contrasted with more familiar forms of Curry's paradox, is that paradox arises already at the first stage. Accordingly, blocking the second or third stages won't suffice for resolving the paradox.
Keywords Curry's paradox  contraction‐free logics  nontransitive logics  validity
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Reprint years 2013
DOI 10.1002/tht3.80
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References found in this work BETA

Saving Truth From Paradox.Hartry Field - 2008 - Oxford University Press.
Spandrels of Truth.J. C. Beall - 2009 - Oxford University Press.
Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.
Two Flavors of Curry’s Paradox.Jc Beall & Julien Murzi - 2013 - Journal of Philosophy 110 (3):143-165.

View all 16 references / Add more references

Citations of this work BETA

Faithfulness for Naive Validity.Ulf Hlobil - 2019 - Synthese 196 (11):4759-4774.
Contraction and Revision.Shawn Standefer - 2016 - Australasian Journal of Logic 13 (3):58-77.

View all 7 citations / Add more citations

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