Truth Diagrams Versus Extant Notations for Propositional Logic

Journal of Logic, Language and Information 29 (2):121-161 (2020)
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Abstract

Truth diagrams are introduced as a novel graphical representation for propositional logic. To demonstrate their epistemic efficacy a set of 28 concepts are proposed that any comprehensive representation for PL should encompass. TDs address all the criteria whereas seven other existing representations for PL only provide partial coverage. These existing representations are: the linear formula notation, truth tables, a PL specific interpretation of Venn Diagrams, Frege’s conceptual notation, diagrams from Wittgenstein’s Tractatus, Pierce’s alpha graphs and Gardner’s shuttle diagrams. The comparison of the representations succeeds in distinguishing ideas that are fundamental to PL from features of common PL representations that are somewhat arbitrary.

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Citations of this work

Truth diagrams for some non-classical and modal logics.Can Başkent - 2024 - Journal of Applied Non-Classical Logics 34 (4):527-560.
Truth diagrams for some non-classical and modal logics.Can Başkent - 2024 - Journal of Applied Non-Classical Logics 34 (4).
Truth diagrams for some non-classical and modal logics.Can Başkent - 2024 - Journal of Applied Non-Classical Logics 34 (4):527-560.

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References found in this work

Introduction to logic.Patrick Suppes - 1957 - Mineola, N.Y.: Dover Publications.
Beginning Logic.Sarah Stebbins - 1965 - London, England: Hackett Publishing.
Symbolic logic.John Venn - 1894 - New York,: B. Franklin.
Introduction to Logic.Roland Hall - 1960 - Philosophical Quarterly 10 (40):287-288.

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