9 Diagrammatic logic and game-playing

Ahti Veikko Pietarinen*

*Corresponding author for this work

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

    Abstract

    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
    PublisherElsevier
    Pages115-133
    Number of pages19
    ISBN (Electronic)9780080537139
    ISBN (Print)9780444514639
    DOIs
    Publication statusPublished - 9 Dec 2004

    Publication series

    NameStudies in Multidisciplinarity
    PublisherElsevier
    Volume2
    ISSN (Print)1571-0831

    Fingerprint

    Dive into the research topics of '9 Diagrammatic logic and game-playing'. Together they form a unique fingerprint.

    Cite this