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Journal of the International Association for Semiotic Studies / Revue de l'Association Internationale de Sémiotique

Editor-in-Chief: Danesi, Marcel

5 Issues per year

ERIH category 2011: INT2



Ligatures in Peirce's existential graphs

1Researcher at SAP Research Dresden.

Citation Information: Semiotica. Volume 2011, Issue 186, Pages 89–109, ISSN (Online) 1613-3692, ISSN (Print) 0037-1998, DOI: 10.1515/semi.2011.047, August 2011

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Lines of Identity (LoI) are important elements in Existential Graphs. They can be assembled to whole networks called “ligatures.” They are not straightforwardly understandable: for example, in constrast to LoI, ligatures may stand for more than one object.

This article elaborates the handling of ligatures. It is precisely investigated how ligatures are dealt with in the calculus and how they can be modified without changing the meaning of a graph. Finally, a sufficient criterion for reading a ligature similar to a LoI is provided, as well as an algorithm which grasps the correct meaning of an existential graph even if it contains arbitrarily complex ligatures.

Keywords:: existential graphs; first order logic; diagrammatic reasoning; ligatures; identity

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