A Diagrammatic Calculus of Syllogisms

Journal of Logic, Language and Information 21 (3):347-364 (2012)
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Abstract

A diagrammatic logical calculus for the syllogistic reasoning is introduced and discussed. We prove that a syllogism is valid if and only if it is provable in the calculus.

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10.1007/s10849-011-9156-7

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Ruggero Pagnan
Università degli Studi di Genova

Citations of this work

Syllogisms in Rudimentary Linear Logic, Diagrammatically.Ruggero Pagnan - 2013 - Journal of Logic, Language and Information 22 (1):71-113.
Relational Syllogisms with Numerical Quantifiers and Beyond.Ka-fat Chow - 2021 - Journal of Logic, Language and Information 31 (1):1-34.
Redescubriendo la lógica diagramática de Leibniz.J. Martín Castro Manzano - 2016 - Tópicos: Revista de Filosofía 52:89-116.

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References found in this work

Introduction to mathematical logic.Elliott Mendelson - 1964 - Princeton, N.J.,: Van Nostrand.
Aristotle's Syllogistic from the Standpoint of Modern Formal Logic.JAN LUKASIEWICZ - 1951 - Revue de Métaphysique et de Morale 57 (4):456-458.
An intensional Leibniz semantics for aristotelian logic.Klaus Glashoff - 2010 - Review of Symbolic Logic 3 (2):262-272.

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