Dialetheism, logical consequence and hierarchy

Analysis 64 (4):318–326 (2004)
Abstract
I argue that dialetheists have a problem with the concept of logical consequence. The upshot of this problem is that dialetheists must appeal to a hierarchy of concepts of logical consequence. Since this hierarchy is akin to those invoked by more orthodox resolutions of the semantic paradoxes, its emergence would appear to seriously undermine the dialetheic treatments of these paradoxes. And since these are central to the case for dialetheism, this would represent a significant blow to the position itself
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DOI 10.1111/j.0003-2638.2004.00503.x
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References found in this work BETA
Tonk, Plonk and Plink.Nuel Belnap - 1962 - Analysis 22 (6):130-134.
Curry's Paradox.Robert K. Meyer, Richard Routley & J. Michael Dunn - 1979 - Analysis 39 (3):124 - 128.
True Contradictions.Terence Parsons - 1990 - Canadian Journal of Philosophy 20 (3):335 - 353.
Boolean Negation and All That.Graham Priest - 1990 - Journal of Philosophical Logic 19 (2):201 - 215.

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Citations of this work BETA
Inconsistency Theories of Semantic Paradox.Douglas Patterson - 2009 - Philosophy and Phenomenological Research 79 (2):387 - 422.
There is No Paradox of Logical Validity.Roy T. Cook - 2014 - Logica Universalis 8 (3-4):447-467.
Fusion and Confusion.Graham Priest - 2015 - Topoi 34 (1):55-61.
Non-Classical Metatheory for Non-Classical Logics.Andrew Bacon - 2013 - Journal of Philosophical Logic 42 (2):335-355.
Validity Curry Strengthened.Lionel Shapiro - 2013 - Thought: A Journal of Philosophy 2 (1):100-107.

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