Consistency-Sensitive Epistemic Modalities in Information-Based Semantics

Studia Logica:1-39 (forthcoming)
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Abstract

The paper extends a framework of information-based semantics for intuitionistic logic with a paraconsistent negation and consistency-sensitive epistemic modalities. In this framework information states represent information collected from various sources and as such they can be inconsistent because they receive contradictory information either from a single inconsistent source or from various mutually incompatible sources. The modalities reflect only those sources that are consistent and trusted. For the paraconsistent logic generated by this framework, we present a Hilbert style system, we prove completeness, the disjunction property, the finite model property and various other results.

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Author Profiles

Sena Bozdag
Ludwig Maximilians Universität, München
Thomas Ferguson
City University of New York

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References found in this work

A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.
Constructible falsity.David Nelson - 1949 - Journal of Symbolic Logic 14 (1):16-26.
Star and perp: Two treatments of negation.J. Michael Dunn - 1993 - Philosophical Perspectives 7:331-357.
Intuitionistic logic with strong negation.Yuri Gurevich - 1977 - Studia Logica 36 (1-2):49 - 59.

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