Journal of Logic, Language and Information

, Volume 21, Issue 3, pp 347-364

First online:

A Diagrammatic Calculus of Syllogisms

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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.


Syllogism Venn-Peirce diagram Syllogistic diagram