TY - CHAP
T1 - Diagrammatic logic and game-playing
AU - Pietarinen, Ahti Veikko
N1 - Funding Information:
The work on this paper has been supported by the Ella and Georg Ehrnrooth Foundation and the Academy of Finland (Project: Game-Theoretic Saelmanticasndits Applications) I would like to thank the participants and organisers of VRI'02 for continuing interest in diagrammatic systems of logic, Tapio Janasik for comments on anaphora and The Helsinki Metaphysical Club for supporting Peirce studies.
PY - 2004/12/9
Y1 - 2004/12/9
N2 - 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.
AB - 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.
UR - https://www.elsevier.com/books/multidisciplinary-approaches-to-visual-representations-and-interpretations/malcolm/978-0-444-51463-9
UR - http://www.scopus.com/inward/record.url?scp=77956713454&partnerID=8YFLogxK
U2 - 10.1016/S1571-0831(04)80037-6
DO - 10.1016/S1571-0831(04)80037-6
M3 - Chapter
AN - SCOPUS:77956713454
SN - 9780444514639
T3 - Studies in Multidisciplinarity
SP - 115
EP - 133
BT - Multidisciplinary Approaches to Visual Representations and Interpretations
A2 - Malcolm, Grant
PB - Elsevier
ER -