Euler's visual logic

History and Philosophy of Logic 19 (1):1-29 (1998)
The evolution of Euler diagrams is examined from Euler's original system through the modifications made by Venn and Peirce. It is shown that these modifications were motivated by an attempt to increase the expressivity of the diagrams, but that a side effect of these modifications was a loss of the visual clarity of Euler's original system. Euler's original system is reconstructed from a modern, logical point of view. Formal semantics and rules of inference are provided for this reconstruction of Euler's system, and basic logical properties are proved
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DOI 10.1080/01445349808837293
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References found in this work BETA
Charles S. Peirce (1931/1960). Collected Papers. Cambridge, Belknap Press of Harvard University Press.
Sun-Joo Shin & Giovanna Corsi (1997). The Logical Status of Diagrams. British Journal for the Philosophy of Science 48 (2):290-291.
Eric Hammer (1994). Reasoning with Sentences and Diagrams. Notre Dame Journal of Formal Logic 35 (1):73-87.

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Citations of this work BETA
Ruggero Pagnan (2013). Syllogisms in Rudimentary Linear Logic, Diagrammatically. Journal of Logic, Language and Information 22 (1):71-113.

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