Peirce and the logical status of diagrams
History and Philosophy of Logic 15 (1):45-68 (1994)
| Abstract | In this paper, I aim to identify Peirce?s great contribution to logical diagrams and its limit.Peirce is the first person who believed that the same logical status can be given to diagrams as to symbolic systems.Even though this belief led him to invent his own graphical system, Existential Graphs, the success or failure of this system does not determine the value of Peirce?s general insights about logical diagrams.In order to make this point clear, I will show that Peirce?s revolutionary ideas about diagrams not only overcame some important defects of Venn diagrams but opened a new horizon for logical diagrams.Finally, I will point out where Peirce?s new horizon for logical diagrams stopped and will claim that this limit is mainly responsible for the discrepancy between Peirce?s and others? estimates of his contribution to logical diagrams | |||||||||
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Don D. Roberts (1973). The Existential Graphs of Charles S. Peirce. The Hague,Mouton.
Gerard Allwein & Jon Barwise (eds.) (1996). Logical Reasoning with Diagrams. Oxford University Press.
Brice Halimi (2012). Diagrams as Sketches. Synthese 186 (1):387-409.
Michael Lynch (1991). Science in the Age of Mechanical Reproduction: Moral and Epistemic Relations Between Diagrams and Photographs. Biology and Philosophy 6 (2):205-226.
P. N. Johnson-Laird (2002). Peirce, Logic Diagrams, and the Elementary Operations of Reasoning. Thinking and Reasoning 8 (1):69 – 95.
Eric Hammer (1995). Peirce on Logical Diagrams. Transactions of the Charles S. Peirce Society 31 (4):807 - 827.
Peter Bernhard (2008). Visualizations of the Square of Opposition. Logica Universalis 2 (1).
Eric Hammer & Norman Danner (1996). Towards a Model Theory of Diagrams. Journal of Philosophical Logic 25 (5):463 - 482.
Eric Hammer & Sun-Joo Shin (1998). Euler's Visual Logic. History and Philosophy of Logic 19 (1):1-29.
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