Axiomatic Theories of Partial Ground I: The Base Theory

Journal of Philosophical Logic 47 (2):161-191 (2018)
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Abstract

This is part one of a two-part paper, in which we develop an axiomatic theory of the relation of partial ground. The main novelty of the paper is the of use of a binary ground predicate rather than an operator to formalize ground. This allows us to connect theories of partial ground with axiomatic theories of truth. In this part of the paper, we develop an axiomatization of the relation of partial ground over the truths of arithmetic and show that the theory is a proof-theoretically conservative extension of the theory PT of positive truth. We construct models for the theory and draw some conclusions for the semantics of conceptualist ground.

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Johannes Korbmacher
Utrecht University

Citations of this work

Ground and Grain.Peter Fritz - 2021 - Philosophy and Phenomenological Research 105 (2):299-330.
In Defense of the (Moderate) Disunity of Grounding.Jon Erling Litland - 2018 - Thought: A Journal of Philosophy 7 (2):97-108.
The puzzles of ground.Adam Lovett - 2020 - Philosophical Studies 177 (9):2541-2564.

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References found in this work

Guide to Ground.Kit Fine - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical grounding: understanding the structure of reality. Cambridge: Cambridge University Press. pp. 37--80.
Metaphysical grounding.Ricki Bliss & Kelly Trogdon - 2021 - Stanford Encyclopedia of Philosophy.
Grounding, transitivity, and contrastivity.Jonathan Schaffer - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical grounding: understanding the structure of reality. Cambridge: Cambridge University Press. pp. 122-138.
Grounding Explanations.Louis deRosset - 2013 - Philosophers' Imprint 13.
Ground.Michael J. Raven - 2015 - Philosophy Compass 10 (5):322-333.

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