Studia Logica 105 (3):625-647 (2017)
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| Abstract |
Charles Peirce’s alpha system \ is reformulated into a deep inference system where the rules are given in terms of deep graphical structures and each rule has its symmetrical rule in the system. The proof analysis of \ is given in terms of two embedding theorems: the system \ and Brünnler’s deep inference system for classical propositional logic can be embedded into each other; and the system \ and Gentzen sequent calculus \ can be embedded into each other.
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| DOI | 10.1007/s11225-016-9703-y |
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References found in this work BETA
Existential Graphs as an Instrument of Logical Analysis: Part I. Alpha.Francesco Bellucci & Ahti-Veikko Pietarinen - 2016 - Review of Symbolic Logic 9 (2):209-237.
Iconicity and Abduction: A Categorical Approach to Creative Hypothesis-Formation in Peirce's Existential Graphs.G. Caterina & R. Gangle - 2013 - Logic Journal of the IGPL 21 (6):1028-1043.
Peircean Graphs for Propositional Logic.Eric Hammer - 1996 - In Gerard Allwein & Jon Barwise (eds.), Logical Reasoning with Diagrams. Oxford University Press.
Citations of this work BETA
On the Logical Philosophy of Assertive Graphs.Daniele Chiffi & Ahti-Veikko Pietarinen - 2020 - Journal of Logic, Language and Information 29 (4):375-397.
Semeiotic Completeness in the Theory of Signs.Ahti-Veikko Pietarinen - 2019 - Semiotica 2019 (228):237-257.
Peirce’s Dragon-Head Logic.Minghui Ma & Ahti-Veikko Pietarinen - 2022 - Archive for History of Exact Sciences 76 (3):261-317.
A Generic Figures Reconstruction of Peirce’s Existential Graphs.Rocco Gangle, Gianluca Caterina & Fernando Tohme - 2022 - Erkenntnis 87 (2):623-656.
Why Images Cannot be Arguments, But Moving Ones Might.Marc Champagne & Ahti-Veikko Pietarinen - 2020 - Argumentation 34 (2):207-236.
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