Graduate studies at Western
Notre Dame Journal of Formal Logic 39 (4):573-580 (1998)
|Abstract||In Volume 33:1 of the Notre Dame Journal of Formal Logic, a system for diagramming syllogistic inferences using straight line segments is presented by Englebretsen. In light of recent research on the representational power of diagrammatic representation systems by the authors, we point out some problems with the proposal, and indeed, with any proposal for representing logically possible situations diagrammatically. We shall first outline the proposed linear diagrammatic system of Englebretsen, and then show by means of counterexamples that it is inadequate as a representation scheme for general logical inferences (the task for which the system is intended). We also show that modifications to the system fail to remedy the problems. The considerations we present are not limited to the particular proposal of Englebretsen; we thus draw a more general moral about the use of spatial relations in representation systems|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
George Englebretsen (1991). Linear Diagrams for Syllogisms (with Relationals). Notre Dame Journal of Formal Logic 33 (1):37-69.
James R. Griesemer (1991). Must Scientific Diagrams Be Eliminable? The Case of Path Analysis. Biology and Philosophy 6 (2):155-180.
Nicholas Rescher & Neil A. Gallagher (1965). Venn Diagrams for Plurative Syllogisms. Philosophical Studies 16 (4):49 - 55.
Francine Abeles (2007). Lewis Carroll's Visual Logic. History and Philosophy of Logic 28 (1):1-17.
Ian Pratt-Hartmann (2013). The Syllogistic with Unity. Journal of Philosophical Logic 42 (2):391-407.
Ruggero Pagnan (2013). Syllogisms in Rudimentary Linear Logic, Diagrammatically. Journal of Logic, Language and Information 22 (1):71-113.
Peter Spirtes, Thomas Richardson, Chris Meek & Richard Scheines, Using Path Diagrams as a Structural Equation Modelling Tool.
Sun-Joo Shin (1994). Peirce and the Logical Status of Diagrams. History and Philosophy of Logic 15 (1):45-68.
Eric Hammer & Norman Danner (1996). Towards a Model Theory of Diagrams. Journal of Philosophical Logic 25 (5):463 - 482.
Colwyn Williamson (1988). How Many Syllogisms Are There? History and Philosophy of Logic 9 (1):77-85.
Brice Halimi (2012). Diagrams as Sketches. Synthese 186 (1):387-409.
Fred Johnson (1997). Extended Gergonne Syllogisms. Journal of Philosophical Logic 26 (5):553-567.
Dominique Tournès (2012). Diagrams in the Theory of Differential Equations (Eighteenth to Nineteenth Centuries). Synthese 186 (1):257-288.
Lothar Philipps (1999). Approximate Syllogisms – on the Logic of Everyday Life. Artificial Intelligence and Law 7 (2-3):227-234.
Added to index2010-08-24
Total downloads3 ( #213,434 of 722,941 )
Recent downloads (6 months)1 ( #61,087 of 722,941 )
How can I increase my downloads?