Bicollective Ground: Towards a (Hyper)graphic Account

In Ricki Bliss & Graham Priest (eds.), 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

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