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Review: Logical Pluralism [Book Review]

Mind 116 (462):391-396 (2007)

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  1. What logical pluralism cannot be.Rosanna Keefe - 2014 - Synthese 191 (7):1375-1390.
    Logical Pluralists maintain that there is more than one genuine/true logical consequence relation. This paper seeks to understand what the position could amount to and some of the challenges faced by its formulation and defence. I consider in detail Beall and Restall’s Logical Pluralism—which seeks to accommodate radically different logics by stressing the way that they each fit a general form, the Generalised Tarski Thesis (GTT)—arguing against the claim that different instances of GTT are admissible precisifications of logical consequence. I (...)
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  • Rivalry, normativity, and the collapse of logical pluralism.Erik Stei - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (3-4):411-432.
    Logical pluralism is the view that there is more than one correct logic. This very general characterization gives rise to a whole family of positions. I argue that not all of them are stable. The main argument in the paper is inspired by considerations known as the “collapse problem”, and it aims at the most popular form of logical pluralism advocated by JC Beall and Greg Restall. I argue that there is a more general argument available that challenges all variants (...)
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  • The collapse of logical contextualism.Timo Meier - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    The most serious objection to Beall and Restall’s case-based logical pluralism is the so-called collapse argument. According to the collapse argument, logical pluralism is not genuinely pluralistic and collapses into a single privileged relation of logical consequence. In response, Caret offered an account of logical contextualism that supposedly maintains the merits of Beall and Restall’s case-based logical pluralism while circumventing the collapse argument. In this paper, I first point out a gap in the collapse argument in that it does not (...)
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  • Should pluralists be pluralists about pluralism?Robert Passmann - 2021 - Synthese 199 (5-6):12663-12682.
    How many correct logics are there? Monists endorse that there is one, pluralists argue for many, and nihilists claim that there are none. Reasoning about these views requires a logic. That is the meta-logic. It turns out that there are some meta-logical challenges specifically for the pluralists. I will argue that these depend on an implicitly assumed absoluteness of correct logic. Pluralists can solve the challenges by giving up on this absoluteness and instead adopt contextualism about correct logic. This contextualism (...)
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  • Is English consequence compact?A. C. Paseau & Owen Griffiths - 2021 - Thought: A Journal of Philosophy 10 (3):188-198.
    Thought: A Journal of Philosophy, Volume 10, Issue 3, Page 188-198, September 2021.
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  • Problems for Logical Pluralism.Owen Griffiths - 2013 - History and Philosophy of Logic 34 (2):170-182.
    I argue that Beall and Restall's logical pluralism fails. Beall–Restall pluralism is the claim that there are different, equally correct logical consequence relations in a single language. Their position fails for two, related, reasons: first, it relies on an unmotivated conception of the ‘settled core’ of consequence: they believe that truth-preservation, necessity, formality and normativity are ‘settled’ features of logical consequence and that any relation satisfying these criteria is a logical consequence relation. I consider historical evidence and argue that their (...)
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