Implicational paradoxes and the meaning of logical constants

Australasian Journal of Philosophy 85 (4):553 – 579 (2007)
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Abstract

I discuss paradoxes of implication in the setting of a proof-conditional theory of meaning for logical constants. I argue that a proper logic of implication should be not only relevant, but also constructive and nonmonotonic. This leads me to select as a plausible candidate LL, a fragment of linear logic that differs from R in that it rejects both contraction and distribution.

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10.1080/00048400701728574

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Francesco Paoli
Universita di Cagliari

Citations of this work

The Logics of Strict-Tolerant Logic.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2015 - Journal of Philosophical Logic 44 (5):551-571.
Logical Consequence and the Paradoxes.Edwin Mares & Francesco Paoli - 2014 - Journal of Philosophical Logic 43 (2-3):439-469.
Logical Pluralism, Meaning-Variance, and Verbal Disputes.Ole Thomassen Hjortland - 2013 - Australasian Journal of Philosophy 91 (2):355-373.
Assertion, denial and non-classical theories.Greg Restall - 2012 - In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli, Paraconsistency: Logic and Applications. Dordrecht, Netherland: Springer. pp. 81--99.

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References found in this work

In contradiction: a study of the transconsistent.Graham Priest - 2006 - New York: Oxford University Press.
Philosophy of logic.Willard Van Orman Quine - 1986 - Cambridge: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
Truth and other enigmas.Michael Dummett - 1978 - Cambridge: Harvard University Press.
Truth and meaning.Donald Davidson - 1967 - Synthese 17 (1):304-323.
Relevant Logics and Their Rivals.Richard Routley, Val Plumwood, Robert K. Meyer & Ross T. Brady - 1982 - Ridgeview. Edited by Richard Sylvan & Ross Brady.

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