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Lessons from the logic of demonstratives: what indexicality teaches us about logic and vice versa

In Greg Restall & Gillian Kay Russell (eds.), New waves in philosophical logic. New York: Palgrave-Macmillan (2012)

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  1. The Justification of the Basic Laws of Logic.Gillian Russell - 2015 - Journal of Philosophical Logic 44 (6):793-803.
    Take a correct sequent of formal logic, perhaps a simple logical truth, like the law of excluded middle, or something with premises, like disjunctive syllogism, but basically a claim of the form \.Γ can be empty. If you don’t like my examples, feel free to choose your own, everything I have to say should apply to those as well. Such a sequent attributes the properties of logical truth or logical consequence to a schematic sentence or argument. This paper aims to (...)
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  • Metaphysical analyticity and the epistemology of logic.Gillian K. Russell - 2013 - Philosophical Studies 171 (1):161-175.
    Recent work on analyticity distinguishes two kinds, metaphysical and epistemic. This paper argues that the distinction allows for a new view in the philosophy of logic according to which the claims of logic are metaphysically analytic and have distinctive modal profiles, even though their epistemology is holist and in many ways rather Quinean. It is argued that such a view combines some of the more attractive aspects of the Carnapian and Quinean approaches to logic, whilst avoiding some famous problems.
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  • How to Prove Hume’s Law.Gillian Russell - 2021 - Journal of Philosophical Logic 51 (3):603-632.
    This paper proves a precisification of Hume’s Law—the thesis that one cannot get an ought from an is—as an instance of a more general theorem which establishes several other philosophically interesting, though less controversial, barriers to logical consequence.
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  • Deviance and Vice: Strength as a Theoretical Virtue in the Epistemology of Logic.Gillian Russell - 2018 - Philosophy and Phenomenological Research 99 (3):548-563.
    This paper is about the putative theoretical virtue of strength, as it might be used in abductive arguments to the correct logic in the epistemology of logic. It argues for three theses. The first is that the well-defined property of logical strength is neither a virtue nor a vice, so that logically weaker theories are not—all other things being equal—worse or better theories than logically stronger ones. The second thesis is that logical strength does not entail the looser characteristic of (...)
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  • Logical pluralism without the normativity.Christopher Blake-Turner & Gillian Russell - 2018 - Synthese:1-19.
    Logical pluralism is the view that there is more than one logic. Logical normativism is the view that logic is normative. These positions have often been assumed to go hand-in-hand, but we show that one can be a logical pluralist without being a logical normativist. We begin by arguing directly against logical normativism. Then we reformulate one popular version of pluralism—due to Beall and Restall—to avoid a normativist commitment. We give three non-normativist pluralist views, the most promising of which depends (...)
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