MEREOLOGICAL BIMODAL LOGICS

Author:

LI DAZHUORCID,WANG YANJINGORCID

Abstract

AbstractIn 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 \varphi $ reads all the parts (of the current object) are $\varphi $ , 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy,Mathematics (miscellaneous)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Sum Relation as a Primitive Concept of Mereology;Studia Logica;2024-07-01

2. Review on Pesticide Abiotic Stress over Crop Health and Intervention by Various Biostimulants;Journal of Agricultural and Food Chemistry;2023-09-05

3. Tense Logics over Lattices;Logic, Language, Information, and Computation;2022

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