Journal of Philosophical Logic 42 (4):575-593 (2013)

Elia Zardini
Universidade de Lisboa
The paper is concerned with a logical difficulty which Lionel Shapiro’s deflationist theory of logical consequence (as well as the author’s favoured, non-deflationist theory) gives rise to. It is argued that Shapiro’s non-contractive approach to solving the difficulty, although correct in its broad outlines, is nevertheless extremely problematic in some of its specifics, in particular in its failure to validate certain intuitive rules and laws associated with the principle of modus ponens. An alternative non-contractive theory is offered which does not suffer from the same problem
Keywords Contraction  Curry’s paradox  Entailment  Logical consequence   Modus ponens  Transparent truth
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DOI 10.1007/s10992-012-9239-1
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References found in this work BETA

Saving Truth From Paradox.Hartry Field - 2008 - Oxford, England: Oxford University Press.
Spandrels of Truth.J. C. Beall - 2009 - Oxford, England: Oxford University Press.
The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
A Counterexample to Modus Ponens.Vann McGee - 1985 - Journal of Philosophy 82 (9):462-471.
Tolerant, Classical, Strict.Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij - 2012 - Journal of Philosophical Logic 41 (2):347-385.

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Citations of this work BETA

Faithfulness for Naive Validity.Ulf Hlobil - 2019 - Synthese 196 (11):4759-4774.

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