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Communication Dans Un Congrès CEUR Workshop Proceedings Année : 2021

The Counting Problem of Slot Mereology

Résumé

Bennett proposed in 2013 a new mereological theory based on the decomposition of the parthood relation into two relations: having a slot and occupying that slot. Slot mereology can be used to represent the mereological structure of a variety of entities that can have the same part multiple times, including (but not only) structural universals. We show here that this theory is not compatible with a counting criterion that would enable us to count appropriately how many times a whole has a part. We propose news axioms to fix those flaws.
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hal-03486458 , version 1 (17-12-2021)

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  • HAL Id : hal-03486458 , version 1

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Cédric Tarbouriech, Adrien Barton, Laure Vieu, Jean-François Éthier. The Counting Problem of Slot Mereology. 5th Workshop on Foundational Ontology (FOUST 2021) @ JOWO 2021, Sep 2021, Bolzano, Italy. ⟨hal-03486458⟩
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