Synonymy and Intra-Theoretical Pluralism

Australasian Journal of Philosophy 93 (1):77-91 (2015)
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Abstract

The starting point of this paper is a version of intra-theoretical pluralism that was recently proposed by Hjortland [2013]. In a first move, I use synonymy-relations to formulate an intuitively compelling objection against Hjortland's claim that, if one uses a single calculus to characterise the consequence relations of the paraconsistent logic LP and the paracomplete logic K3, one immediately obtains multiple consequence relations for a single language and hence a reply to the Quinean charge of meaning variance. In a second move, I explain how a natural generalisation of the notion of synonymy can be used to counter this objection, but I also show how the solution can be turned into an equally devastating ‘one logic after all’ type of objection. Finally, I propose the general diagnosis that these problems could only arise in the presence of conceptual distinctions that are too coarse to accommodate coherent pluralist theses. T..

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Patrick Allo
Vrije Universiteit Brussel

Citations of this work

Disagreement about logic from a pluralist perspective.Erik Stei - 2020 - Philosophical Studies 177 (11):3329-3350.
A Constructionist Philosophy of Logic.Patrick Allo - 2017 - Minds and Machines 27 (3):545-564.

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References found in this work

Philosophy of logic.Willard Van Orman Quine - 1970 - Cambridge, Mass.: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
The logical syntax of language.Rudolf Carnap - 1937 - London,: K. Paul, Trench, Trubner & co.. Edited by Amethe Smeaton.
Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford, England: Oxford University Press. Edited by Greg Restall.
Logical pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
On the logic of demonstratives.David Kaplan - 1979 - Journal of Philosophical Logic 8 (1):81 - 98.

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