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20152020
most citedLogics of Essence and Accident

7 citations · 10 across the 2 of their papers we have counts for

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7 papers · 1 filter

math.LO2020★ 3 cited

Notes on neighborhood semantics for logics of unknown truths and false beliefs

Jie Fan

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 ar…

math.LO2019

Two variants of noncontingency operator

Jie Fan

By slightly adapting two equivalent semantics of noncontingency operator, we obtain two variants, and , with non-equivalent semantics. We show that on the class…

math.LO2018

A family of neighborhood contingency logics

Jie Fan

This article proposes the axiomatizations of contingency logics of various natural classes of neighborhood frames. In particular, by defining a suitable canonical neighborhood func…

math.LO2018

A road to ultrafilter extensions

Jie Fan

We propose a uniform method of constructing ultrafilter extensions from canonical models, which is based on the similarity between ultrafilters and maximal consistent sets. This me…

math.LO2018

Bimodal logics with contingency and accident

Jie Fan

Contingency and accident are two important notions in philosophy and philosophical logic. Their meanings are so close that they are mixed sometimes, in both everyday discourse and…

math.LO2018

A sequence of neighborhood contingency logics

Jie Fan

This note proposes various axiomatizations of contingency logic under neighborhood semantics. In particular, by defining a suitable canonical neighborhood function, we give sound a…