Ground and grain

Journal article

Fritz, Peter. (2022). Ground and grain. Philosophy and Phenomenological Research. 105(2), pp. 299-330. https://doi.org/10.1111/phpr.12822
AuthorsFritz, Peter
Abstract

Current views of metaphysical ground suggest that a true conjunction is immediately grounded in its conjuncts, and only its conjuncts. Similar principles are suggested for disjunction and universal quantification. Here, it is shown that these principles are jointly inconsistent: They require that there is a distinct truth for any plurality of truths. By a variant of Cantor’s Theorem, such a fine-grained individuation of truths is inconsistent. This shows that the notion of grounding is either not in good standing, or that natural assumptions about it need to be revised.

Year2022
JournalPhilosophy and Phenomenological Research
Journal citation105 (2), pp. 299-330
PublisherWiley Periodicals
ISSN0031-8205
Digital Object Identifier (DOI)https://doi.org/10.1111/phpr.12822
Scopus EID2-s2.0-85112084267
Open accessPublished as ‘gold’ (paid) open access
Page range299-330
Publisher's version
License
File Access Level
Open
Output statusPublished
Publication dates
Online11 Aug 2021
Publication process dates
Deposited18 Jan 2023
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