Extensions of Euler Diagrams in Peirce's Four Manuscripts on Logical Graphs

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Abstract

This paper presents some of the most important and previously unpublished writings by Peirce on Euler diagrams including variants written on a sphere (Ms 479), their novel extensions for negative terms (Ms 481, 1896-7, Ms 1147, 1901), and existentials and shading (Ms 855), among others. We restore Peirce's original drawings explain the main innovations. As Euler diagrams were not designed to reason about relative terms, Peirce's interest was not in their mathematical application or problem solving but in showing what the basic elements of syllogistic reasoning are.
Original languageEnglish
Pages (from-to)139--154
JournalLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9781
Publication statusPublished - 2016

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Euler
Diagram
Innovation
Shading
Term
Graph in graph theory
Reasoning
Drawing

Cite this

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title = "Extensions of Euler Diagrams in Peirce's Four Manuscripts on Logical Graphs",
abstract = "This paper presents some of the most important and previously unpublished writings by Peirce on Euler diagrams including variants written on a sphere (Ms 479), their novel extensions for negative terms (Ms 481, 1896-7, Ms 1147, 1901), and existentials and shading (Ms 855), among others. We restore Peirce's original drawings explain the main innovations. As Euler diagrams were not designed to reason about relative terms, Peirce's interest was not in their mathematical application or problem solving but in showing what the basic elements of syllogistic reasoning are.",
author = "Ahti-Veikko Pietarinen",
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AB - This paper presents some of the most important and previously unpublished writings by Peirce on Euler diagrams including variants written on a sphere (Ms 479), their novel extensions for negative terms (Ms 481, 1896-7, Ms 1147, 1901), and existentials and shading (Ms 855), among others. We restore Peirce's original drawings explain the main innovations. As Euler diagrams were not designed to reason about relative terms, Peirce's interest was not in their mathematical application or problem solving but in showing what the basic elements of syllogistic reasoning are.

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JO - Lecture Notes in Computer Science

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