Contractions of noncontractive consequence relations

Review of Symbolic Logic 8 (3):506-528 (2015)
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Abstract

Some theorists have developed formal approaches to truth that depend on counterexamples to the structural rules of contraction. Here, we study such approaches, with an eye to helping them respond to a certain kind of objection. We define a contractive relative of each noncontractive relation, for use in responding to the objection in question, and we explore one example: the contractive relative of multiplicative-additive affine logic with transparent truth, or MAALT.

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Author Profiles

David Ripley
Monash University
Rohan French
University of California, Davis

Citations of this work

Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.
Contraction, Infinitary Quantifiers, and Omega Paradoxes.Bruno Da Ré & Lucas Rosenblatt - 2018 - Journal of Philosophical Logic 47 (4):611-629.
Is multiset consequence trivial?Petr Cintula & Francesco Paoli - 2016 - Synthese 199 (Suppl 3):741-765.
Contraction and revision.Shawn Standefer - 2016 - Australasian Journal of Logic 13 (3):58-77.

View all 9 citations / Add more citations

References found in this work

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.
Truth without contra(di)ction.Elia Zardini - 2011 - Review of Symbolic Logic 4 (4):498-535.

View all 19 references / Add more references