Extensions of euler diagrams in peirce’s four manuscripts on logical graphs

Ahti Veikko Pietarinen

doi:10.1007/978-3-319-42333-3_11

Extensions of euler diagrams in peirce’s four manuscripts on logical graphs

Ahti Veikko Pietarinen^*

^*Corresponding author for this work

Department of Religion and Philosophy

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

8 Citations (Scopus)

Abstract

Charles Peirce’s important manuscript on Euler diagrams (Ms 479, 1903) was partially printed in the Collected Papers in 1933 (CP 4.347-371). That transcription omitted many paragraphs, figures and important variants of the main text, and diagrams were reproduced misleadingly or imprecisely. Another important and wholly unpublished paper of his (Ms 481, 1896-7) presents a novel extension of Euler’s diagrams for negative terms. Third, among the discarded pages of a published article (Ms 1147, 1901) we find a variant on logical graphs suggesting similar extensions. Ms 855 (1911) is yet another unpublished note in which Peirce deals with existentials and shading. The present paper restores Peirce’s original drawings from these four manuscripts and explains their 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 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	139-154
Number of pages	16
Edition	1st
ISBN (Electronic)	9783319423333
ISBN (Print)	9783319423326
DOIs	https://doi.org/10.1007/978-3-319-42333-3_11
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

Euler diagrams
History of diagrams
Logical graphs
Peirce
Syllogism
Venn diagrams

Access to Document

10.1007/978-3-319-42333-3_11

Cite this

Pietarinen, A. V. (2016). Extensions of euler diagrams in peirce’s four manuscripts on logical graphs. 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. 139-154). (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_11

Pietarinen, Ahti Veikko. / Extensions of euler diagrams in peirce’s four manuscripts on logical graphs. 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. 139-154 (Lecture Notes in Computer Science). (Lecture Notes in Artificial Intelligence). (Diagrams: International Conference on Theory and Application of Diagrams).

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title = "Extensions of euler diagrams in peirce{\textquoteright}s four manuscripts on logical graphs",

abstract = "Charles Peirce{\textquoteright}s important manuscript on Euler diagrams (Ms 479, 1903) was partially printed in the Collected Papers in 1933 (CP 4.347-371). That transcription omitted many paragraphs, figures and important variants of the main text, and diagrams were reproduced misleadingly or imprecisely. Another important and wholly unpublished paper of his (Ms 481, 1896-7) presents a novel extension of Euler{\textquoteright}s diagrams for negative terms. Third, among the discarded pages of a published article (Ms 1147, 1901) we find a variant on logical graphs suggesting similar extensions. Ms 855 (1911) is yet another unpublished note in which Peirce deals with existentials and shading. The present paper restores Peirce{\textquoteright}s original drawings from these four manuscripts and explains their main innovations. As Euler diagrams were not designed to reason about relative terms, Peirce{\textquoteright}s interest was not in their mathematical application or problem solving but in showing what the basic elements of syllogistic reasoning are.",

keywords = "Euler diagrams, History of diagrams, Logical graphs, Peirce, Syllogism, Venn diagrams",

author = "Pietarinen, {Ahti Veikko}",

note = "Funding Information: Supported by projects PUT267 (Estonian Research Council) and 127335 (Academy of Finland): Diagrammatic Mind: Logical and Cognitive Aspects of Iconicity; 2014–15 Foreign Experts Program of State Administration of Foreign Experts Affairs, China; and the 2012 Harvard Houghton Library Fellowship (Principal Investigator A.-V. Pietarinen). 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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Pietarinen, AV 2016, Extensions of euler diagrams in peirce’s four manuscripts on logical graphs. 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. 139-154, 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_11

Extensions of euler diagrams in peirce’s four manuscripts on logical graphs. / 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. 139-154 (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 contribution › peer-review

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N1 - Funding Information: Supported by projects PUT267 (Estonian Research Council) and 127335 (Academy of Finland): Diagrammatic Mind: Logical and Cognitive Aspects of Iconicity; 2014–15 Foreign Experts Program of State Administration of Foreign Experts Affairs, China; and the 2012 Harvard Houghton Library Fellowship (Principal Investigator A.-V. Pietarinen). Publisher Copyright: © Springer International Publishing Switzerland 2016.

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N2 - Charles Peirce’s important manuscript on Euler diagrams (Ms 479, 1903) was partially printed in the Collected Papers in 1933 (CP 4.347-371). That transcription omitted many paragraphs, figures and important variants of the main text, and diagrams were reproduced misleadingly or imprecisely. Another important and wholly unpublished paper of his (Ms 481, 1896-7) presents a novel extension of Euler’s diagrams for negative terms. Third, among the discarded pages of a published article (Ms 1147, 1901) we find a variant on logical graphs suggesting similar extensions. Ms 855 (1911) is yet another unpublished note in which Peirce deals with existentials and shading. The present paper restores Peirce’s original drawings from these four manuscripts and explains their 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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Pietarinen AV. Extensions of euler diagrams in peirce’s four manuscripts on logical graphs. 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. 139-154. (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_11

Extensions of euler diagrams in peirce’s four manuscripts on logical graphs

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