Logics of essence and accident

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

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Joao Marcos
Universidade Federal do Rio Grande do Norte

Citations of this work

Modality is Not Explainable by Essence.Carlos Romero - 2019 - Philosophical Quarterly 69 (274):121-141.
Nearly every normal modal logic is paranormal.Joao Marcos - 2005 - Logique Et Analyse 48 (189-192):279-300.
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.

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