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Logic and Logical Philosophy

Grounding and Propositional Identity: A Solution to Wilhelm’s Inconsistencies
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Grounding and Propositional Identity: A Solution to Wilhelm’s Inconsistencies

Authors

  • Francesca Poggiolesi Institut d’Histoire et de Philosophie des Sciences et des Techniques, Université Paris 1 Panthéon-Sorbonne, Paris

DOI:

https://doi.org/10.12775/LLP.2022.012

Keywords

grounding, propositional identity, inconsistency, consistency

Abstract

By following a recent result of [Wilhelm, 2021], it can easily be shown that standard conditions for immediate partial grounding and relevant identity conditions for propositions are inconsistent with one another. This is an unfortunate situation for all grounding enthusiasts; however, by adopting the approach presented by Poggiolesi [2016a,b], which displays a more-fined grained use of negations, it can also be shown that consistency can be restored back.

References

Poggiolesi, F., 2016a, “A critical overview of the most recent logics of grounding”, pages 291–309 in F. Boccuni and A. Sereni, editors, Objectivity, Realism and Proof, Boston Studies in the Philosophy and History of Science. DOI: http://dx.doi.org 10.1007/978-3-319-31644-4_15

Poggiolesi, F., 2016b, “On defining the notion of complete and immediate formal grounding”, Synthese, 193 (10): 3147–3167. DOI: http://dx.doi.org 10.1007/s11229-015-0923-x

Poggiolesi, F., 2018, “On constructing a logic for the notion of complete and immediate formal grounding”, Synthese, 195 (3): 1231–1254. DOI: http://dx.doi.org 10.1007/s11229-016-1265-z

Poggiolesi, F., 2020, “A proof-theoretical framework for several types of grounding”, Logique et Analyse, 252: 387–414.

Wilhelm, I., 2021, “Grounding and propositional identity”, Analysis, 81 (1): 80–81. DOI: http://dx.doi.org 10.1093/analys/anaa024

Logic and Logical Philosophy

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Published

2022-03-09

How to Cite

1.
POGGIOLESI, Francesca. Grounding and Propositional Identity: A Solution to Wilhelm’s Inconsistencies. Logic and Logical Philosophy. Online. 9 March 2022. Vol. 32, no. 1, pp. 33-38. [Accessed 5 July 2025]. DOI 10.12775/LLP.2022.012.
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Issue

Vol. 32 No. 1 (2023): March

Section

Articles

License

Copyright (c) 2022 Francesca Poggiolesi

Creative Commons License

This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

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