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Remarks on the iconicity and interpretation of existential graphs
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Risto Hilpinen
Published/Copyright:
August 8, 2011
Abstract
In the 1890s, Peirce reformulated quantification theory by expressing it in a language of diagrams, called existential graphs. Peirce thought that the iconicity of his graphs made them suitable for analyzing logical reasoning. Iconic signs can be said to show their meaning, and this paper studies the ways in which graphs do this. Peirce's pragmatic analysis of propositions resembles game-theoretical semantics, and existential graphs show what they mean by displaying the structure of the semantic game for the proposition represented by a graph.
Published Online: 2011-08-08
Published in Print: 2011-August
© 2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Articles in the same Issue
- Introduction: Diagrammatical reasoning and Peircean logic representations
- Images, diagrams, and narratives: Charles S. Peirce's epistemological theory of mental diagrams
- The fine structure of Peircean ligatures and lines of identity
- When is a bunch of marks on paper a diagram? Diagrams as homomorphic representations
- Ligatures in Peirce's existential graphs
- Iconic thought and diagrammatical scripture: Peirce and the Leibnizian tradition
- Linear notation for existential graphs
- Peircean Algebraic Logic and Peirce's Reduction Thesis
- Remarks on the iconicity and interpretation of existential graphs
- Cognitive conditions of diagrammatic reasoning
- External diagrammatization and iconic brain co-evolution
- Computers as medium for mathematical writing
- Peircean diagrams of time
- Space, complementarity, and “diagrammatic reasoning”
- Diagrams, iconicity, and abductive discovery
- Moving pictures of thought II: Graphs, games, and pragmaticism's proof
- Peirce's alpha graphs and propositional languages
- Peirce's tutorial on existential graphs
- On operational and optimal iconicity in Peirce's diagrammatology
- Existential graphs and proofs of pragmaticism
