Negative terms in euler diagrams: Peirce’s solution

Amirouche Moktefi*, Ahti Veikko Pietarinen

*Corresponding author for this work

Research output: Chapter in book/report/conference proceedingConference proceedingpeer-review

6 Citations (Scopus)


We commonly represent a class with a curve enclosing individuals that share an attribute. Individuals that are not predicated with that attribute are left outside. The status of this outer class has long been a matter of dispute in logic. In modern notations, negative terms are simply expressed by labeling the spaces that they cover. In this note, we discuss an unusual (and previously unpublished) method designed by Peirce in 1896 to handle negative terms: to indicate the position of the terms by the shape of the curve rather than by labeling the spaces.

Original languageEnglish
Title of host publicationDiagrammatic Representation and Inference
Subtitle of host publication9th International Conference, Diagrams 2016, Philadelphia, PA, USA, August 7-10, 2016, Proceedings
EditorsMateja Jamnik, Yuri Uesaka, Stephanie Elzer Schwartz
PublisherSpringer Cham
Number of pages3
ISBN (Electronic)9783319423333
ISBN (Print)9783319423326
Publication statusPublished - 26 Jul 2016
Event9th International Conference on the Theory and Applications of Diagrams, Diagrams 2016 - Philadelphia, United States
Duration: 7 Aug 201610 Aug 2016

Publication series

NameLecture Notes in Computer Science
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349
NameLecture Notes in Artificial Intelligence
NameDiagrams: International Conference on Theory and Application of Diagrams


Conference9th International Conference on the Theory and Applications of Diagrams, Diagrams 2016
Country/TerritoryUnited States
Internet address

Scopus Subject Areas

  • Theoretical Computer Science
  • Computer Science(all)

User-Defined Keywords

  • Charles S. Peirce
  • Euler diagram
  • Negative term
  • Syllogism


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