Bulletin of the Section of Logic 34 (1):43-56 (2005)

Authors
Joao Marcos
Universidade Federal do Rio Grande do Norte
Abstract
We say that things happen accidentally when they do indeed happen, but only by chance. In the opposite situation, an essential happening is inescapable, its inevitability being the sine qua non for its very occurrence. This paper will investigate modal logics on a language tailored to talk about essential and accidental statements. Completeness of some among the weakest and the strongest such systems is attained. The weak expressibility of the classical propositional language enriched with the non-normal modal operators of essence and accident is highlighted and illustrated, both with respect to the definability of the more usual modal operators as well as with respect to the characterizability of classes of frames. Several interesting problems and directions are left open for exploration.
Keywords philosophy of modal logic  non-normal modalities  formal metaphysics  essence  accident
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Modality is Not Explainable by Essence.Carlos Romero - 2019 - Philosophical Quarterly 69 (274):121-141.
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.
A Note on Logics of Essence and Accident.David R. Gilbert & Giorgio Venturi - 2020 - Logic Journal of the IGPL 28 (5):881-891.

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