The logic of ground

Journal of Philosophical Logic 49 (1):13-49 (2020)
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Abstract

I explore the logic of ground. I first develop a logic of weak ground. This logic strengthens the logic of weak ground presented by Fine in his ‘Guide to Ground.’ This logic, I argue, generates many plausible principles which Fine’s system leaves out. I then derive from this a logic of strict ground. I argue that there is a strong abductive case for adopting this logic. It’s elegant, parsimonious and explanatorily powerful. Yet, so I suggest, adopting it has important consequences. First, it means we should think of ground as a type of identity. Second, it means we should reject much of Fine’s logic of strict ground. I also show how the logic I develop connects to other systems in the literature. It is definitionally equivalent both to Angell’s logic of analytic containment and to Correia’s system G.

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Adam Lovett
Australian Catholic University

Citations of this work

The puzzles of ground.Adam Lovett - 2020 - Philosophical Studies 177 (9):2541-2564.
Ground by Status.Lisa Vogt - 2024 - Philosophical Studies 181 (2):419-432.
A Simple Proof of Grounding Internality.Adam Lovett - 2019 - Thought: A Journal of Philosophy 8 (3):154-166.

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References found in this work

Modal Logic as Metaphysics.Timothy Williamson - 2013 - Oxford, England: Oxford University Press.
On what grounds what.Jonathan Schaffer - 2009 - In David Manley, David J. Chalmers & Ryan Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford University Press. pp. 347-383.
Guide to Ground.Kit Fine - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical Grounding. Cambridge University Press. pp. 37--80.
Metaphysical Dependence: Grounding and Reduction.Gideon Rosen - 2010 - In Bob Hale & Aviv Hoffmann (eds.), Modality: metaphysics, logic, and epistemology. Oxford University Press. pp. 109-135.
To Be F Is To Be G.Cian Dorr - 2016 - Philosophical Perspectives 30 (1):39-134.

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