9 Diagrammatic logic and game-playing

Ahti Veikko Pietarinen*

*Corresponding author for this work

Research output: Chapter in book/report/conference proceedingChapterpeer-review


In this paper, diagrammatic systems for logical concept modelling are investigated. These systems include Charles S. Peirce's existential graphs, conceptual graphs, extensive semantic games, and discourse representation theory (DRT). It is argued that the fundamental difference between these systems is that unlike in the other graphical methods of logic, in the theory of extensive semantic games one is able to model concepts that call for some strategic, i.e. game-theoretic deliberations. They are needed among other things in properly understanding the linguistic concept of anaphora and its interplay with negation. Furthermore, it is shown how Peirce's existential graphs transform into extensive semantic games. This has important consequences to the game-theoretic visualisation of logic and semantics and enables one to represent uncertainty in existential graphs.

Original languageEnglish
Title of host publicationMultidisciplinary Approaches to Visual Representations and Interpretations
EditorsGrant Malcolm
Number of pages19
ISBN (Electronic)9780080537139
ISBN (Print)9780444514639
Publication statusPublished - 9 Dec 2004

Publication series

NameStudies in Multidisciplinarity
ISSN (Print)1571-0831


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