Studia Logica 102 (1):185-217 (2014)

Gemma Robles
Universidad de León
José M. Méndez
Universidad de Salamanca
“Weak relevant model structures” (wr-ms) are defined on “weak relevant matrices” by generalizing Brady’s model structure ${\mathcal{M}_{\rm CL}}$ built upon Meyer’s Crystal matrix CL. It is shown how to falsify in any wr-ms the Generalized Modus Ponens axiom and similar schemes used to derive Curry’s Paradox. In the last section of the paper we discuss how to extend this method of falsification to more general schemes that could also be used in deriving Curry’s Paradox
Keywords Curry’s Paradox  Depth Relevance  Generalized Modus Ponens axiom  Generalized Contraction rule  Weak relevant model structures  Relevant logic
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DOI 10.1007/s11225-013-9471-x
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References found in this work BETA

Entailment and Relevance.Nuel D. Belnap - 1960 - Journal of Symbolic Logic 25 (2):144-146.
Routes to Triviality.Susan Rogerson & Greg Restall - 2004 - Journal of Philosophical Logic 33 (4):421-436.
Depth Relevance of Some Paraconsistent Logics.Ross T. Brady - 1984 - Studia Logica 43 (1-2):63 - 73.
Relevant Implication and the Case for a Weaker Logic.Ross T. Brady - 1996 - Journal of Philosophical Logic 25 (2):151 - 183.

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Citations of this work BETA

Blocking the Routes to Triviality with Depth Relevance.Gemma Robles & José M. Méndez - 2014 - Journal of Logic, Language and Information 23 (4):493-526.

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