Peirce’s diagrammatic logic in IF perspective

Ahti Veikko Pietarinen

Peirce’s diagrammatic logic in IF perspective

Ahti Veikko Pietarinen

History, Philosophy and Religious Studies Department

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Citations (Scopus)

Abstract

This paper presents a topological and game-theoretic extension of the system of Existential Graphs (eg). Egs were Charles S. Peirce’s diagrammatic and iconic approach to logic. By scribing the graphs on assertion spaces of higher dimensions, this extension provides the precise iconic counterpart to the Independence-Friendly (if) restatement of first-order logic suggested by Hintikka. Consequently, the if extension completes the project that Peirce initiated: it breaks off from the linear confines of language by diagrams that extend to three dimensions, which Peirce predicted to be necessary and sufficient for the expression of all assertions. Apart from improved ways of performing conceptual modelling on natural-language expressions, this extension reveals the true proportions of Peirce’s sign- and model-theoretic thinking in plunging into the notions of identity, negation, continuity and quantification

Original language	English
Title of host publication	Diagrammatic Representation and Inference - 3rd International Conference, Diagrams 2004, Proceedings
Editors	Alan Blackwell, Kim Marriott, Atsushi Shimojima
Publisher	Springer Verlag
Pages	97-111
Number of pages	15
ISBN (Print)	354021268X, 9783540212683
Publication status	Published - Jan 1 2004
Event	3rd International Conference on Diagrammatic Representation and Inference, Diagrams 2004 - Cambridge, United Kingdom Duration: Mar 22 2004 → Mar 24 2004

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2980
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	3rd International Conference on Diagrammatic Representation and Inference, Diagrams 2004
Country	United Kingdom
City	Cambridge
Period	3/22/04 → 3/24/04

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

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Cite this

Pietarinen, A. V. (2004). Peirce’s diagrammatic logic in IF perspective. In A. Blackwell, K. Marriott, & A. Shimojima (Eds.), Diagrammatic Representation and Inference - 3rd International Conference, Diagrams 2004, Proceedings (pp. 97-111). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2980). Springer Verlag.

Peirce’s diagrammatic logic in IF perspective. / Pietarinen, Ahti Veikko.

Diagrammatic Representation and Inference - 3rd International Conference, Diagrams 2004, Proceedings. ed. / Alan Blackwell; Kim Marriott; Atsushi Shimojima. Springer Verlag, 2004. p. 97-111 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2980).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Pietarinen, AV 2004, Peirce’s diagrammatic logic in IF perspective. in A Blackwell, K Marriott & A Shimojima (eds), Diagrammatic Representation and Inference - 3rd International Conference, Diagrams 2004, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2980, Springer Verlag, pp. 97-111, 3rd International Conference on Diagrammatic Representation and Inference, Diagrams 2004, Cambridge, United Kingdom, 3/22/04.

Pietarinen AV. Peirce’s diagrammatic logic in IF perspective. In Blackwell A, Marriott K, Shimojima A, editors, Diagrammatic Representation and Inference - 3rd International Conference, Diagrams 2004, Proceedings. Springer Verlag. 2004. p. 97-111. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

Pietarinen, Ahti Veikko. / Peirce’s diagrammatic logic in IF perspective. Diagrammatic Representation and Inference - 3rd International Conference, Diagrams 2004, Proceedings. editor / Alan Blackwell ; Kim Marriott ; Atsushi Shimojima. Springer Verlag, 2004. pp. 97-111 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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