Negative terms in euler diagrams: Peirce’s solution

Amirouche Moktefi; Ahti Veikko Pietarinen

doi:10.1007/978-3-319-42333-3_25

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 proceeding › Conference proceeding › peer-review

6 Citations (Scopus)

Abstract

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 In this note, we discuss an unusual (and previously unpublished) method designed by Peirce in 1896 to handle negative terms: to indicate the position of the terms by the shape of the curve rather than by labeling the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 language	English
Title of host publication	Diagrammatic Representation and Inference
Subtitle of host publication	9th International Conference, Diagrams 2016, Philadelphia, PA, USA, August 7-10, 2016, Proceedings
Editors	Mateja Jamnik, Yuri Uesaka, Stephanie Elzer Schwartz
Publisher	Springer Cham
Pages	286-288
Number of pages	3
Edition	1st
ISBN (Electronic)	9783319423333
ISBN (Print)	9783319423326
DOIs	https://doi.org/10.1007/978-3-319-42333-3_25
Publication status	Published - 26 Jul 2016
Event	9th International Conference on the Theory and Applications of Diagrams, Diagrams 2016 - Philadelphia, United States Duration: 7 Aug 2016 → 10 Aug 2016 https://link.springer.com/book/10.1007/978-3-319-42333-3

Publication series

Name	Lecture Notes in Computer Science
Volume	9781
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Name	Lecture Notes in Artificial Intelligence

Name	Diagrams: International Conference on Theory and Application of Diagrams

Conference

Conference	9th International Conference on the Theory and Applications of Diagrams, Diagrams 2016
Country/Territory	United States
City	Philadelphia
Period	7/08/16 → 10/08/16
Internet address	https://link.springer.com/book/10.1007/978-3-319-42333-3

Scopus Subject Areas

Theoretical Computer Science
Computer Science(all)

User-Defined Keywords

Charles S. Peirce
Euler diagram
Negative term
Syllogism

Access to Document

10.1007/978-3-319-42333-3_25

Cite this

Moktefi, A., & Pietarinen, A. V. (2016). Negative terms in euler diagrams: Peirce’s solution. In M. Jamnik, Y. Uesaka, & S. E. Schwartz (Eds.), Diagrammatic Representation and Inference: 9th International Conference, Diagrams 2016, Philadelphia, PA, USA, August 7-10, 2016, Proceedings (1st ed., pp. 286-288). (Lecture Notes in Computer Science; Vol. 9781), (Lecture Notes in Artificial Intelligence), (Diagrams: International Conference on Theory and Application of Diagrams). Springer Cham. https://doi.org/10.1007/978-3-319-42333-3_25

Moktefi, Amirouche ; Pietarinen, Ahti Veikko. / Negative terms in euler diagrams : Peirce’s solution. Diagrammatic Representation and Inference: 9th International Conference, Diagrams 2016, Philadelphia, PA, USA, August 7-10, 2016, Proceedings. editor / Mateja Jamnik ; Yuri Uesaka ; Stephanie Elzer Schwartz. 1st. ed. Springer Cham, 2016. pp. 286-288 (Lecture Notes in Computer Science). (Lecture Notes in Artificial Intelligence). (Diagrams: International Conference on Theory and Application of Diagrams).

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abstract = "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.",

keywords = "Charles S. Peirce, Euler diagram, Negative term, Syllogism",

author = "Amirouche Moktefi and Pietarinen, {Ahti Veikko}",

note = "Funding Information: This note draws upon research supported by the Estonian Research Council PUT 267 {\textquoteleft}Diagrammatic Mind: Logical and Communicative Aspects of Iconicity{\textquoteright} (Principal investigator Professor Ahti-Veikko Pietarinen, 2013-2016). Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.; 9th International Conference on the Theory and Applications of Diagrams, Diagrams 2016 ; Conference date: 07-08-2016 Through 10-08-2016",

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month = jul,

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doi = "10.1007/978-3-319-42333-3_25",

language = "English",

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series = "Lecture Notes in Computer Science",

publisher = "Springer Cham",

pages = "286--288",

editor = "Mateja Jamnik and Yuri Uesaka and Schwartz, {Stephanie Elzer}",

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Moktefi, A & Pietarinen, AV 2016, Negative terms in euler diagrams: Peirce’s solution. in M Jamnik, Y Uesaka & SE Schwartz (eds), Diagrammatic Representation and Inference: 9th International Conference, Diagrams 2016, Philadelphia, PA, USA, August 7-10, 2016, Proceedings. 1st edn, Lecture Notes in Computer Science, vol. 9781, Lecture Notes in Artificial Intelligence, Diagrams: International Conference on Theory and Application of Diagrams, Springer Cham, pp. 286-288, 9th International Conference on the Theory and Applications of Diagrams, Diagrams 2016, Philadelphia, United States, 7/08/16. https://doi.org/10.1007/978-3-319-42333-3_25

Negative terms in euler diagrams: Peirce’s solution. / Moktefi, Amirouche; Pietarinen, Ahti Veikko.
Diagrammatic Representation and Inference: 9th International Conference, Diagrams 2016, Philadelphia, PA, USA, August 7-10, 2016, Proceedings. ed. / Mateja Jamnik; Yuri Uesaka; Stephanie Elzer Schwartz. 1st. ed. Springer Cham, 2016. p. 286-288 (Lecture Notes in Computer Science; Vol. 9781), (Lecture Notes in Artificial Intelligence), (Diagrams: International Conference on Theory and Application of Diagrams).

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

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T1 - Negative terms in euler diagrams

T2 - 9th International Conference on the Theory and Applications of Diagrams, Diagrams 2016

AU - Moktefi, Amirouche

AU - Pietarinen, Ahti Veikko

N1 - Funding Information: This note draws upon research supported by the Estonian Research Council PUT 267 ‘Diagrammatic Mind: Logical and Communicative Aspects of Iconicity’ (Principal investigator Professor Ahti-Veikko Pietarinen, 2013-2016). Publisher Copyright: © Springer International Publishing Switzerland 2016.

PY - 2016/7/26

Y1 - 2016/7/26

N2 - 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.

AB - 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.

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Moktefi A, Pietarinen AV. Negative terms in euler diagrams: Peirce’s solution. In Jamnik M, Uesaka Y, Schwartz SE, editors, Diagrammatic Representation and Inference: 9th International Conference, Diagrams 2016, Philadelphia, PA, USA, August 7-10, 2016, Proceedings. 1st ed. Springer Cham. 2016. p. 286-288. (Lecture Notes in Computer Science). (Lecture Notes in Artificial Intelligence). (Diagrams: International Conference on Theory and Application of Diagrams). doi: 10.1007/978-3-319-42333-3_25

Negative terms in euler diagrams: Peirce’s solution

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