Bimodal logics with contingency and accident

J Fan - Journal of Philosophical Logic, 2019 - Springer
Contingency and accident are two important notions in philosophy and philosophical logic.
Their meanings are so close that they are mixed up sometimes, in both daily life and …

Unknown truths and false beliefs: Completeness and expressivity results for the neighborhood semantics

J Fan - Studia Logica, 2022 - Springer
In this article, we study logics of unknown truths and false beliefs under neighborhood
semantics. We compare the relative expressivity of the two logics. It turns out that they are …

[PDF][PDF] Translational embeddings in modal logic

R French - 2010 - rohan-french.github.io
In this thesis we will be considering translations between logics–these being functions which
map formulas in the language of one logic (the source logic) to formulas in the language of …

The boxdot conjecture and the language of essence and accident

C Steinsvold - The Australasian Journal of Logic, 2011 - ojs.victoria.ac.nz
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Notes on neighborhood semantics for logics of unknown truths and false beliefs

J Fan - arXiv preprint arXiv:2002.09622, 2020 - arxiv.org
In this article, we study logics of unknown truths and false beliefs under neighborhood
semantics. We compare the relative expressivity of the two logics. It turns out that they are …

Logics of True Belief

Y Yang - Notre Dame Journal of Formal Logic, 2024 - projecteuclid.org
In epistemic logic, the beliefs of an agent are modeled in a way very similar to knowledge,
except that they are fallible. Thus, the pattern of an agent's true beliefs is an interesting …

Reflexive-insensitive logics, the boxdot translation, and the modal logic of generic absoluteness

DR Gilbert, G Venturi - Notre Dame Journal of Formal Logic, 2021 - projecteuclid.org
In this paper we analyze the connection between reflexive-insensitive modal logics, logics of
provability, and the modal logic of forcing. Because of the inter-definability of the∘-operator …

Cluster expansion and the boxdot conjecture

E Jeřábek - Mathematical Logic Quarterly, 2016 - Wiley Online Library
The boxdot conjecture asserts that every normal modal logic that faithfully interprets by the
well‐known boxdot translation is in fact included in. We confirm that the conjecture is true …

The boxdot conjecture and the generalized McKinsey axiom

C Steinsvold - The Australasian Journal of Logic, 2018 - ojs.victoria.ac.nz
Abstract The Boxdot Conjecture is shown to hold for a novel class of modal systems. Each
system in this class is K plus an instance of a natural generalization of the McKinsey …

Two variants of noncontingency operator

J Fan - Notre Dame Journal of Formal Logic, 2021 - projecteuclid.org
By slightly adapting two equivalent semantics of noncontingency operator, we obtain two
variants,⊡ and⊞, with nonequivalent semantics. We show that on the class of models …