Symmetric Contingency Logic with Unlimitedly Many Modalities

Journal of Philosophical Logic 48 (5):851-866 (2019)
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Abstract

The completeness of the axiomatization of contingency logic over symmetric frames has been thought of as a nontrivial job, the unimodal case of which cannot be generalized to the finitely multimodal case, which in turn cannot be generalized to the infinitely multimodal case. This paper deals with the completeness of symmetric contingency logic with unlimitedly many modalities, no matter whether the set of modalities is finite or infinite.

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Citations of this work

A Logic for Disjunctive Ignorance.Jie Fan - 2021 - Journal of Philosophical Logic 50 (6):1293-1312.
Logics of (In)sane and (Un)reliable Beliefs.Jie Fan - 2022 - Logic Journal of the IGPL 30 (1):78-100.
A Family of Kripke Contingency Logics.Jie Fan - 2020 - Theoria 86 (4):482-499.
A Logic of Temporal Contingency.Jie Fan - forthcoming - Erkenntnis:1-30.

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References found in this work

Deontic logic.G. H. von Wright - 1951 - Mind 60 (237):1-15.
I. deontic logic.G. H. von Wright - 1951 - Mind 60 (237):1-15.
Minimal Non-contingency Logic.Steven T. Kuhn - 1995 - Notre Dame Journal of Formal Logic 36 (2):230-234.

View all 8 references / Add more references