Peirce’s Diagrammatic Solutions to ‘Peirce’s Puzzle’

Ahti Veikko Pietarinen

doi:10.1007/978-3-030-86062-2_23

Peirce’s Diagrammatic Solutions to ‘Peirce’s Puzzle’

Ahti Veikko Pietarinen^*

^*Corresponding author for this work

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

Abstract

We present Peirce’s own solution to what is known as ‘Peirce’s Puzzle’ in formal semantics and pragmatics. In his mostly unpublished writings, Peirce analyses some sentences in the modal extension of his Beta Existential Graphs (that is, in a diagrammatic system of quantified first-order logic with tinctures) and in algebraic logic. These diagrams represent the pragmatic idea of information states that support or fail to support sentences with (non-existential) indefinites and modalities. The interpretation of such sentences presupposes a graphic-pragmatic criterion of cross-identification.

Original language	English
Title of host publication	Diagrammatic Representation and Inference
Subtitle of host publication	12th International Conference, Diagrams 2021, Virtual, September 28–30, 2021, Proceedings
Editors	Amrita Basu, Gem Stapleton, Sven Linker, Catherine Legg, Emmanuel Manalo, Petrucio Viana
Publisher	Springer Cham
Pages	246-250
Number of pages	5
Edition	1st
ISBN (Electronic)	9783030860622
ISBN (Print)	9783030860615
DOIs	https://doi.org/10.1007/978-3-030-86062-2_23
Publication status	Published - 3 Sept 2021
Event	12th International Conference on the Theory and Application of Diagrams, Diagrams 2021 - Virtual, Online Duration: 28 Sept 2021 → 30 Sept 2021 https://link.springer.com/book/10.1007/978-3-030-86062-2

Publication series

Name	Lecture Notes in Computer Science
Volume	12909
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	12th International Conference on the Theory and Application of Diagrams, Diagrams 2021
City	Virtual, Online
Period	28/09/21 → 30/09/21
Internet address	https://link.springer.com/book/10.1007/978-3-030-86062-2

Scopus Subject Areas

Theoretical Computer Science
General Computer Science

User-Defined Keywords

Existential graphs
Indefinites
Line of identity
Modality
Peirce’s puzzle
Tinctures

Access to Document

10.1007/978-3-030-86062-2_23

Cite this

Pietarinen, A. V. (2021). Peirce’s Diagrammatic Solutions to ‘Peirce’s Puzzle’. In A. Basu, G. Stapleton, S. Linker, C. Legg, E. Manalo, & P. Viana (Eds.), Diagrammatic Representation and Inference: 12th International Conference, Diagrams 2021, Virtual, September 28–30, 2021, Proceedings (1st ed., pp. 246-250). (Lecture Notes in Computer Science; Vol. 12909), (Lecture Notes in Artificial Intelligence), (Diagrams: International Conference on Theory and Application of Diagrams). Springer Cham. https://doi.org/10.1007/978-3-030-86062-2_23

Pietarinen, Ahti Veikko. / Peirce’s Diagrammatic Solutions to ‘Peirce’s Puzzle’. Diagrammatic Representation and Inference: 12th International Conference, Diagrams 2021, Virtual, September 28–30, 2021, Proceedings. editor / Amrita Basu ; Gem Stapleton ; Sven Linker ; Catherine Legg ; Emmanuel Manalo ; Petrucio Viana. 1st. ed. Springer Cham, 2021. pp. 246-250 (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 present Peirce{\textquoteright}s own solution to what is known as {\textquoteleft}Peirce{\textquoteright}s Puzzle{\textquoteright} in formal semantics and pragmatics. In his mostly unpublished writings, Peirce analyses some sentences in the modal extension of his Beta Existential Graphs (that is, in a diagrammatic system of quantified first-order logic with tinctures) and in algebraic logic. These diagrams represent the pragmatic idea of information states that support or fail to support sentences with (non-existential) indefinites and modalities. The interpretation of such sentences presupposes a graphic-pragmatic criterion of cross-identification.",

keywords = "Existential graphs, Indefinites, Line of identity, Modality, Peirce{\textquoteright}s puzzle, Tinctures",

author = "Pietarinen, {Ahti Veikko}",

note = "Funding Information: Supported by the Basic Research Program of the HSE University and the TalTech grant SSGF21021. Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.; 12th International Conference on the Theory and Application of Diagrams, Diagrams 2021 ; Conference date: 28-09-2021 Through 30-09-2021",

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month = sep,

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doi = "10.1007/978-3-030-86062-2_23",

language = "English",

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editor = "Amrita Basu and Gem Stapleton and Sven Linker and Catherine Legg and Emmanuel Manalo and Petrucio Viana",

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Pietarinen, AV 2021, Peirce’s Diagrammatic Solutions to ‘Peirce’s Puzzle’. in A Basu, G Stapleton, S Linker, C Legg, E Manalo & P Viana (eds), Diagrammatic Representation and Inference: 12th International Conference, Diagrams 2021, Virtual, September 28–30, 2021, Proceedings. 1st edn, Lecture Notes in Computer Science, vol. 12909, Lecture Notes in Artificial Intelligence, Diagrams: International Conference on Theory and Application of Diagrams, Springer Cham, pp. 246-250, 12th International Conference on the Theory and Application of Diagrams, Diagrams 2021, Virtual, Online, 28/09/21. https://doi.org/10.1007/978-3-030-86062-2_23

Peirce’s Diagrammatic Solutions to ‘Peirce’s Puzzle’. / Pietarinen, Ahti Veikko.
Diagrammatic Representation and Inference: 12th International Conference, Diagrams 2021, Virtual, September 28–30, 2021, Proceedings. ed. / Amrita Basu; Gem Stapleton; Sven Linker; Catherine Legg; Emmanuel Manalo; Petrucio Viana. 1st. ed. Springer Cham, 2021. p. 246-250 (Lecture Notes in Computer Science; Vol. 12909), (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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Pietarinen AV. Peirce’s Diagrammatic Solutions to ‘Peirce’s Puzzle’. In Basu A, Stapleton G, Linker S, Legg C, Manalo E, Viana P, editors, Diagrammatic Representation and Inference: 12th International Conference, Diagrams 2021, Virtual, September 28–30, 2021, Proceedings. 1st ed. Springer Cham. 2021. p. 246-250. (Lecture Notes in Computer Science). (Lecture Notes in Artificial Intelligence). (Diagrams: International Conference on Theory and Application of Diagrams). doi: 10.1007/978-3-030-86062-2_23

Peirce’s Diagrammatic Solutions to ‘Peirce’s Puzzle’

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