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Ground and Grain
Author(s) -
Fritz Peter
Publication year - 2022
Publication title -
philosophy and phenomenological research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.7
H-Index - 39
eISSN - 1933-1592
pISSN - 0031-8205
DOI - 10.1111/phpr.12822
Subject(s) - metaphysics , individuation , conjunction (astronomy) , common ground , philosophy , epistemology , natural (archaeology) , philosophy of language , infinitesimal , mathematics , psychology , history , communication , physics , psychoanalysis , mathematical analysis , archaeology , astronomy
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.