Dazhu Li, Yanjing Wang
Review of Symbolic Logic, to appear
Publication year: 2022

In this paper, using a propositional modal language extended with the window modality, we capture the first-order properties of various mereological theories. In this setting, \Box \phi reads all my parts are \phi, interpreted on the models with a whole-part binary relation under various constraints. We show that all the usual mereological theories can be captured by modal formulas in our language via frame correspondence. We also correct a mistake in the existing completeness proof for a basic system of mereology by providing a new construction of the canonical model.

 

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