Abstract
Peirce believed that his pragmaticism can be conclusively proven. Beginning in 1903, he drafted several attempts, ending by 1908 with a semeiotic proof. Around 1905, he exposes the proof using the theory of Existential Graphs (EGs). This paper modernizes the semantics Peirce proposed for EGs in terms of game-theoretic semantics (GTS). Peirce's 1905 proof is then reconstructed in three parts, by (1) relating pragmaticism to the GTS conception of meaning, (2) showing that Peirce's proof is an argument for a relational structure of the meaning of intellectual signs that our interpretative and strategic practices give rise to, and (3) bringing out the key links between EGs and pragmaticism.
© 2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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
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