Two Implications and Dual-Process Theories of Reasoning

Angelina Bobrova; Ahti Veikko Pietarinen

doi:10.1007/978-3-030-54249-8_19

Two Implications and Dual-Process Theories of Reasoning

Angelina Bobrova, Ahti Veikko Pietarinen^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

Dual-process theories of reasoning assume a fundamental difference between two cognitive systems: fast and intuitive System 1, and slow and rational System 2, grounded on rules of logical inference. Peirce’s diagrammatic logic challenges the dichotomy. Both systems are based on similar inferential connections, but the former draws its conclusions as modelled in positive implicational fragment of the latter. This logical connection between two systems explains empirical results from Wason’s card selection task without appeal to confirmation bias.

Original language	English
Title of host publication	Diagrammatic Representation and Inference
Subtitle of host publication	11th International Conference, Diagrams 2020, Tallinn, Estonia, August 24–28, 2020, Proceedings
Editors	Ahti-Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter, Sven Linker
Publisher	Springer Cham
Pages	239-243
Number of pages	5
Edition	1st
ISBN (Electronic)	9783030542498
ISBN (Print)	9783030542481
DOIs	https://doi.org/10.1007/978-3-030-54249-8_19
Publication status	Published - 29 Jul 2020
Event	11th International Conference on the Theory and Application of Diagrams, Diagrams 2020 - Tallinn, Estonia Duration: 24 Aug 2020 → 28 Aug 2020 https://link.springer.com/book/10.1007/978-3-030-54249-8

Publication series

Name	Lecture Notes in Computer Science
Volume	12169
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	11th International Conference on the Theory and Application of Diagrams, Diagrams 2020
Country/Territory	Estonia
City	Tallinn
Period	24/08/20 → 28/08/20
Internet address	https://link.springer.com/book/10.1007/978-3-030-54249-8

Scopus Subject Areas

Theoretical Computer Science
Computer Science(all)

User-Defined Keywords

Cognition
Diagrammatic logic
Dual-processes
Logic
Peirce’s graphs
Positive implication
Wason card selection task

Access to Document

10.1007/978-3-030-54249-8_19

Cite this

Bobrova, A., & Pietarinen, A. V. (2020). Two Implications and Dual-Process Theories of Reasoning. In A.-V. Pietarinen, P. Chapman, L. Bosveld-de Smet, V. Giardino, J. Corter, & S. Linker (Eds.), Diagrammatic Representation and Inference: 11th International Conference, Diagrams 2020, Tallinn, Estonia, August 24–28, 2020, Proceedings (1st ed., pp. 239-243). (Lecture Notes in Computer Science; Vol. 12169), (Lecture Notes in Artificial Intelligence ), (Diagrams: International Conference on Theory and Application of Diagrams). Springer Cham. https://doi.org/10.1007/978-3-030-54249-8_19

Bobrova, Angelina ; Pietarinen, Ahti Veikko. / Two Implications and Dual-Process Theories of Reasoning. Diagrammatic Representation and Inference: 11th International Conference, Diagrams 2020, Tallinn, Estonia, August 24–28, 2020, Proceedings. editor / Ahti-Veikko Pietarinen ; Peter Chapman ; Leonie Bosveld-de Smet ; Valeria Giardino ; James Corter ; Sven Linker. 1st. ed. Springer Cham, 2020. pp. 239-243 (Lecture Notes in Computer Science). (Lecture Notes in Artificial Intelligence ). (Diagrams: International Conference on Theory and Application of Diagrams).

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title = "Two Implications and Dual-Process Theories of Reasoning",

abstract = "Dual-process theories of reasoning assume a fundamental difference between two cognitive systems: fast and intuitive System 1, and slow and rational System 2, grounded on rules of logical inference. Peirce{\textquoteright}s diagrammatic logic challenges the dichotomy. Both systems are based on similar inferential connections, but the former draws its conclusions as modelled in positive implicational fragment of the latter. This logical connection between two systems explains empirical results from Wason{\textquoteright}s card selection task without appeal to confirmation bias.",

keywords = "Cognition, Diagrammatic logic, Dual-processes, Logic, Peirce{\textquoteright}s graphs, Positive implication, Wason card selection task",

author = "Angelina Bobrova and Pietarinen, {Ahti Veikko}",

note = "Funding Information: Supported by #20-011-00227 A of Russian Foundation for Basic Research (Bobrova) and the HSE University Basic Research Program funded by the Russian Academic Excellence Project {\textquoteleft}5-100{\textquoteright} (Pietarinen). Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.; 11th International Conference on the Theory and Application of Diagrams, Diagrams 2020 ; Conference date: 24-08-2020 Through 28-08-2020",

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Bobrova, A & Pietarinen, AV 2020, Two Implications and Dual-Process Theories of Reasoning. in A-V Pietarinen, P Chapman, L Bosveld-de Smet, V Giardino, J Corter & S Linker (eds), Diagrammatic Representation and Inference: 11th International Conference, Diagrams 2020, Tallinn, Estonia, August 24–28, 2020, Proceedings. 1st edn, Lecture Notes in Computer Science, vol. 12169, Lecture Notes in Artificial Intelligence , Diagrams: International Conference on Theory and Application of Diagrams, Springer Cham, pp. 239-243, 11th International Conference on the Theory and Application of Diagrams, Diagrams 2020, Tallinn, Estonia, 24/08/20. https://doi.org/10.1007/978-3-030-54249-8_19

Two Implications and Dual-Process Theories of Reasoning. / Bobrova, Angelina; Pietarinen, Ahti Veikko.
Diagrammatic Representation and Inference: 11th International Conference, Diagrams 2020, Tallinn, Estonia, August 24–28, 2020, Proceedings. ed. / Ahti-Veikko Pietarinen; Peter Chapman; Leonie Bosveld-de Smet; Valeria Giardino; James Corter; Sven Linker. 1st. ed. Springer Cham, 2020. p. 239-243 (Lecture Notes in Computer Science; Vol. 12169), (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

TY - GEN

T1 - Two Implications and Dual-Process Theories of Reasoning

AU - Bobrova, Angelina

AU - Pietarinen, Ahti Veikko

N1 - Funding Information: Supported by #20-011-00227 A of Russian Foundation for Basic Research (Bobrova) and the HSE University Basic Research Program funded by the Russian Academic Excellence Project ‘5-100’ (Pietarinen). Publisher Copyright: © 2020, Springer Nature Switzerland AG.

PY - 2020/7/29

Y1 - 2020/7/29

N2 - Dual-process theories of reasoning assume a fundamental difference between two cognitive systems: fast and intuitive System 1, and slow and rational System 2, grounded on rules of logical inference. Peirce’s diagrammatic logic challenges the dichotomy. Both systems are based on similar inferential connections, but the former draws its conclusions as modelled in positive implicational fragment of the latter. This logical connection between two systems explains empirical results from Wason’s card selection task without appeal to confirmation bias.

AB - Dual-process theories of reasoning assume a fundamental difference between two cognitive systems: fast and intuitive System 1, and slow and rational System 2, grounded on rules of logical inference. Peirce’s diagrammatic logic challenges the dichotomy. Both systems are based on similar inferential connections, but the former draws its conclusions as modelled in positive implicational fragment of the latter. This logical connection between two systems explains empirical results from Wason’s card selection task without appeal to confirmation bias.

KW - Cognition

KW - Diagrammatic logic

KW - Dual-processes

KW - Logic

KW - Peirce’s graphs

KW - Positive implication

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SN - 9783030542481

T3 - Lecture Notes in Computer Science

SP - 239

EP - 243

BT - Diagrammatic Representation and Inference

A2 - Pietarinen, Ahti-Veikko

A2 - Chapman, Peter

A2 - Bosveld-de Smet, Leonie

A2 - Giardino, Valeria

A2 - Corter, James

A2 - Linker, Sven

PB - Springer Cham

T2 - 11th International Conference on the Theory and Application of Diagrams, Diagrams 2020

Y2 - 24 August 2020 through 28 August 2020

ER -

Bobrova A, Pietarinen AV. Two Implications and Dual-Process Theories of Reasoning. In Pietarinen AV, Chapman P, Bosveld-de Smet L, Giardino V, Corter J, Linker S, editors, Diagrammatic Representation and Inference: 11th International Conference, Diagrams 2020, Tallinn, Estonia, August 24–28, 2020, Proceedings. 1st ed. Springer Cham. 2020. p. 239-243. (Lecture Notes in Computer Science). (Lecture Notes in Artificial Intelligence ). (Diagrams: International Conference on Theory and Application of Diagrams). doi: 10.1007/978-3-030-54249-8_19

Two Implications and Dual-Process Theories of Reasoning

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