David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
In Sun-Joo Shin & Amirouche Moktefi (eds.), Visual Reasoning with Diagrams. Springer. 1-18 (2013)
Robert Brandom’s expressivism argues that not all semantic content may be made fully explicit. This view connects in interesting ways with recent movements in philosophy of mathematics and logic (e.g. Brown, Shin, Giaquinto) to take diagrams seriously - as more than a mere “heuristic aid” to proof, but either proofs themselves, or irreducible components of such. However what exactly is a diagram in logic? Does this constitute a semiotic natural kind? The paper will argue that such a natural kind does exist in Charles Peirce’s conception of iconic signs, but that fully understood, logical diagrams involve a structured array of normative reasoning practices, as well as just a “picture on a page”.
|Keywords||Peirce logic diagram expressivism iconic sign existential graphs|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
P. N. Johnson-Laird (2002). Peirce, Logic Diagrams, and the Elementary Operations of Reasoning. Thinking and Reasoning 8 (1):69 – 95.
Sun-Joo Shin (1994). Peirce and the Logical Status of Diagrams. History and Philosophy of Logic 15 (1):45-68.
Ahti-Veikko Pietarinen (2011). Existential Graphs: What a Diagrammatic Logic of Cognition Might Look Like. History and Philosophy of Logic 32 (3):265-281.
C. Legg (2012). The Hardness of the Iconic Must: Can Peirce's Existential Graphs Assist Modal Epistemology? Philosophia Mathematica 20 (1):1-24.
Ruggero Pagnan (2012). A Diagrammatic Calculus of Syllogisms. Journal of Logic, Language and Information 21 (3):347-364.
David Lauer (2012). Expressivism and the Layer Cake Picture of Discursive Practice. Philosophia 40 (1):55-73.
Kathi Fisler (1999). Timing Diagrams: Formalization and Algorithmic Verification. [REVIEW] Journal of Logic, Language and Information 8 (3):323-361.
Robert W. Burch (1994). Game-Theoretical Semantics for Peirce's Existential Graphs. Synthese 99 (3):361 - 375.
B. H. Slater (1998). Peirce's Graphs Amended. History and Philosophy of Logic 19 (2):101-106.
Catherine Legg (2008). The Problem of the Essential Icon. American Philosophical Quarterly 45 (3):207-232.
Eric M. Hammer (1998). Semantics for Existential Graphs. Journal of Philosophical Logic 27 (5):489-503.
Added to index2012-10-10
Total downloads131 ( #7,637 of 1,101,833 )
Recent downloads (6 months)31 ( #5,890 of 1,101,833 )
How can I increase my downloads?