Truth diagrams for some non-classical and modal logics

Article

Baskent, C. 2024. Truth diagrams for some non-classical and modal logics. Journal of Applied Non-Classical Logics. https://doi.org/10.1080/11663081.2024.2366752
TypeArticle
TitleTruth diagrams for some non-classical and modal logics
AuthorsBaskent, C.
Abstract

This paper examines truth diagrams for some non-classical, modal and dynamic logics. Truth diagrams are diagrammatic and visual ways to represent logical truth akin to truth tables, developed by Peter C.-H. Cheng. Currently, it is only given for classical propositional logic. In this paper, we establish truth diagrams for Priest's Logic of Paradox, Belnap–Dunn's Four-Valued Logic, MacColl's Connexive Logic, Bochvar–Halldén's Logic of Non-Sense, Carnielli–Coniglio's logic of formal inconsistency as well as classical modal logic and its dynamic extension to shed light on the semantic behaviour of some non-classical and modal logics.

KeywordsTruth diagrams; paraconsistent logic; non-classical logic; modal logic
Sustainable Development Goals4 Quality education
Middlesex University ThemeCreativity, Culture & Enterprise
PublisherTaylor & Francis (Routledge)
JournalJournal of Applied Non-Classical Logics
ISSN1166-3081
Electronic1958-5780
Publication dates
Online04 Jul 2024
Publication process dates
Submitted04 Jul 2023
Accepted20 Apr 2024
Deposited08 Jul 2024
Output statusPublished
Accepted author manuscript
License
File Access Level
Open
Copyright Statement

This is an original manuscript of an article published by Taylor & Francis in Journal of Applied Non-Classical Logics on 04 July 2024, available at: https://doi.org/10.1080/11663081.2024.2366752.

Digital Object Identifier (DOI)https://doi.org/10.1080/11663081.2024.2366752
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