Journal of Philosophical Logic 45 (5):531-577 (2016)

Authors
Jon Litland
University of Texas at Austin
Abstract
A logic of grounding where what is grounded can be a collection of truths is a “many-many” logic of ground. The idea that grounding might be irreducibly many-many has recently been suggested by Dasgupta. In this paper I present a range of novel philosophical and logical reasons for being interested in many-many logics of ground. I then show how Fine’s State-Space semantics for the Pure Logic of Ground can be extended to the many-many case, giving rise to the Pure Logic of Many-Many Ground. In the second, more technical, part of the paper, I do two things. First, I present an alternative formalization of plg; this allows us to simplify Fine’s completeness proof for plg. Second, I formalize plmmg using an infinitary sequent calculus and prove that this formalization is sound and complete.
Keywords Grounding  Many-many grounding  Metaphysics  Structuralism  Soundness and completeness
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DOI 10.1007/s10992-015-9386-2
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References found in this work BETA

Grounding in the Image of Causation.Jonathan Schaffer - 2016 - Philosophical Studies 173 (1):49-100.
The Question of Realism.Kit Fine - 2001 - Philosophers' Imprint 1:1-30.
The Pure Logic of Ground.Kit Fine - 2012 - Review of Symbolic Logic 5 (1):1-25.
Grounding Explanations.Louis deRosset - 2013 - Philosophers' Imprint 13.
On the Plurality of Grounds.Shamik Dasgupta - 2014 - Philosophers' Imprint 14.

View all 19 references / Add more references

Citations of this work BETA

Grounding, Essence, And Identity.Fabrice Correia & Alexander Skiles - 2019 - Philosophy and Phenomenological Research 98 (3):642-670.
A Logic for Best Explanations.Jared Millson & Christian Straßer - 2019 - Journal of Applied Non-Classical Logics 29 (2):184-231.

View all 9 citations / Add more citations

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