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Bicollective Ground: Towards a (Hyper)graphic Account

In Ricki Bliss & Graham Priest,Reality and its Structure: Essays in Fundamentality. Oxford, UK: Oxford University Press. pp. 140-164 (2018)
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Abstract

Grounding is bicollective if it is possible for some truths δ,δ,... to be grounded in the some truths γ,γ,... without its being the case that each δi is grounded in some subcollection of γ,γ,.... In this paper I show how to do develop a hypergraph-theoretic account of bicollective ground, taking the notion of immediate ground as basic. I also indicate how bicollective ground helps with formulating mathematical structuralism.

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Jon Litland
University of Texas at Austin

Citations of this work

Metaphysical grounding.Ricki Bliss &Kelly Trogdon -2021 -Stanford Encyclopedia of Philosophy.
Fundamentality.Tuomas E. Tahko -2023 -Stanford Encyclopedia of Philosophy.
A Survey of Logical Realism.Tuomas E. Tahko -2021 -Synthese 198 (5):4775-4790.
Priority Monism and Junk.Jamie Taylor -2021 -Analytic Philosophy 63 (1):44-61.

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References found in this work

Guide to Ground.Kit Fine -2012 - In Fabrice Correia & Benjamin Schnieder,Metaphysical grounding: understanding the structure of reality. Cambridge: Cambridge University Press. pp. 37--80.
On what grounds what.Jonathan Schaffer -2009 - In Ryan Wasserman, David Manley & David Chalmers,Metametaphysics: New Essays on the Foundations of Ontology. Oxford, England: Oxford University Press. pp. 347-383.
Metaphysical Dependence: Grounding and Reduction.Gideon Rosen -2010 - In Bob Hale & Aviv Hoffmann,Modality: metaphysics, logic, and epistemology. qnew York: Oxford University Press. pp. 109-135.
Grounding in the image of causation.Jonathan Schaffer -2016 -Philosophical Studies 173 (1):49-100.
The Possibility of Physicalism.Shamik Dasgupta -2014 -Journal of Philosophy 111 (9-10):557-592.

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