Euler’s visual logic

History and Philosophy of Logic 19 (1):1-29 (1998)

Authors
Sun-Joo Shin
Yale University
Abstract
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

The Development of Logic.W. C. Kneale - 1962 - Oxford University Press.
Collected Papers.Charles S. Peirce - 1931 - Cambridge: Belknap Press of Harvard University Press.
The Development of Logic.A. R. Lacey - 1964 - Journal of Hellenic Studies 84:194-195.
The Development of Logic.William Kneale & Martha Kneale - 1962 - Studia Logica 15:308-310.
The Logical Status of Diagrams.Sun-joo Shin - 1997 - British Journal for the Philosophy of Science 48 (2):290-291.

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Citations of this work BETA

Introduction: Varieties of Iconicity.Valeria Giardino & Gabriel Greenberg - 2015 - Review of Philosophy and Psychology 6 (1):1-25.
How Diagrams Can Support Syllogistic Reasoning: An Experimental Study.Yuri Sato & Koji Mineshima - 2015 - Journal of Logic, Language and Information 24 (4):409-455.
A Diagrammatic Inference System with Euler Circles.Koji Mineshima, Mitsuhiro Okada & Ryo Takemura - 2012 - Journal of Logic, Language and Information 21 (3):365-391.
Syllogisms in Rudimentary Linear Logic, Diagrammatically.Ruggero Pagnan - 2013 - Journal of Logic, Language and Information 22 (1):71-113.

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