A Diagrammatic Calculus of Syllogisms

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.
Keywords Syllogism  Venn-Peirce diagram  Syllogistic diagram
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DOI 10.1007/s10849-011-9156-7
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References found in this work BETA
The Logical Status of Diagrams.Sun-Joo Shin & Giovanna Corsi - 1997 - British Journal for the Philosophy of Science 48 (2):290-291.
On the Insufficiency of Linear Diagrams for Syllogisms.Oliver Lemon & Ian Pratt - 1998 - Notre Dame Journal of Formal Logic 39 (4):573-580.

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Citations of this work BETA
Syllogisms in Rudimentary Linear Logic, Diagrammatically.Ruggero Pagnan - 2013 - Journal of Logic, Language and Information 22 (1):71-113.

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