A Unified Logic for Contingency and Accident

Journal of Philosophical Logic 51 (4):693-720 (2022)

Abstract

As shown in Fan, there are some similarities/resemblances between contingency and accident. Given this, one may naturally ask if we can unify the two operators to manifest all of their similarities/resemblances. In this article, instead of looking at the interactions between the two operators like in Fan, we turn our attention to the resemblances between the two operators. We extend the unification method in Fan to the current setting. The main results include some model-theoretical ones, such as expressivity, frame definability, bisimulation, and some axiomatization ones.

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References found in this work

Contingency and Knowing Whether.Jie Fan, Yanjing Wang & Hans van Ditmarsch - 2015 - Review of Symbolic Logic 8 (1):75-107.
Reflexive-Insensitive Modal Logics.David R. Gilbert & Giorgio Venturi - 2016 - Review of Symbolic Logic 9 (1):167-180.
Bimodal Logics with Contingency and Accident.Jie Fan - 2019 - Journal of Philosophical Logic 48 (2):425-445.
Symmetric Contingency Logic with Unlimitedly Many Modalities.Jie Fan - 2019 - Journal of Philosophical Logic 48 (5):851-866.

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