Towards explaining the cognitive efficacy of Euler diagrams in syllogistic reasoning: A relational perspective

Koji Mineshima, Yuri Sato, Ryo Takemura, Mitsuhiro Okada

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Although diagrams have been widely used as methods for introducing students to elementary logical reasoning, it is still open to debate in cognitive psychology whether logic diagrams can aid untrained people to successfully conduct deductive reasoning. In our previous work, some empirical evidence was provided for the effectiveness of Euler diagrams in the process of solving categorical syllogisms. In this paper, we discuss the question of why Euler diagrams have such inferential efficacy in the light of a logical and proof-theoretical analysis of categorical syllogisms and diagrammatic reasoning. As a step towards an explanatory theory of reasoning with Euler diagrams, we argue that the effectiveness of Euler diagrams in supporting syllogistic reasoning derives from the fact that they are effective ways of representing and reasoning about relational structures that are implicit in categorical sentences. A special attention is paid to how Euler diagrams can facilitate the task of checking the invalidity of an inference, a task that is known to be particularly difficult for untrained reasoners. The distinctive features of our conception of diagrammatic reasoning are made clear by comparing it with the model-theoretic conception of ordinary reasoning developed in the mental model theory.

Original languageEnglish
JournalJournal of Visual Languages and Computing
DOIs
Publication statusAccepted/In press - 2013

Fingerprint

Students
Leonhard Euler
Efficacy
Syllogistic Reasoning
Diagrams
Logic
Categorical Syllogism
Conception
Diagrammatic Reasoning
Mental Model Theory
Cognitive Psychology
Empirical Evidence
Categorical
Distinctive Features
Inference

Keywords

  • Categorical syllogisms
  • Diagrammatic reasoning
  • Efficacy
  • Euler diagram
  • Mental model theory
  • Relational inferences

ASJC Scopus subject areas

  • Human-Computer Interaction
  • Computer Science Applications
  • Language and Linguistics

Cite this

@article{e86b181b2ead46b5a97464534c204ae6,
title = "Towards explaining the cognitive efficacy of Euler diagrams in syllogistic reasoning: A relational perspective",
abstract = "Although diagrams have been widely used as methods for introducing students to elementary logical reasoning, it is still open to debate in cognitive psychology whether logic diagrams can aid untrained people to successfully conduct deductive reasoning. In our previous work, some empirical evidence was provided for the effectiveness of Euler diagrams in the process of solving categorical syllogisms. In this paper, we discuss the question of why Euler diagrams have such inferential efficacy in the light of a logical and proof-theoretical analysis of categorical syllogisms and diagrammatic reasoning. As a step towards an explanatory theory of reasoning with Euler diagrams, we argue that the effectiveness of Euler diagrams in supporting syllogistic reasoning derives from the fact that they are effective ways of representing and reasoning about relational structures that are implicit in categorical sentences. A special attention is paid to how Euler diagrams can facilitate the task of checking the invalidity of an inference, a task that is known to be particularly difficult for untrained reasoners. The distinctive features of our conception of diagrammatic reasoning are made clear by comparing it with the model-theoretic conception of ordinary reasoning developed in the mental model theory.",
keywords = "Categorical syllogisms, Diagrammatic reasoning, Efficacy, Euler diagram, Mental model theory, Relational inferences",
author = "Koji Mineshima and Yuri Sato and Ryo Takemura and Mitsuhiro Okada",
year = "2013",
doi = "10.1016/j.jvlc.2013.08.007",
language = "English",
journal = "Journal of Visual Languages and Computing",
issn = "1045-926X",
publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Towards explaining the cognitive efficacy of Euler diagrams in syllogistic reasoning

T2 - A relational perspective

AU - Mineshima, Koji

AU - Sato, Yuri

AU - Takemura, Ryo

AU - Okada, Mitsuhiro

PY - 2013

Y1 - 2013

N2 - Although diagrams have been widely used as methods for introducing students to elementary logical reasoning, it is still open to debate in cognitive psychology whether logic diagrams can aid untrained people to successfully conduct deductive reasoning. In our previous work, some empirical evidence was provided for the effectiveness of Euler diagrams in the process of solving categorical syllogisms. In this paper, we discuss the question of why Euler diagrams have such inferential efficacy in the light of a logical and proof-theoretical analysis of categorical syllogisms and diagrammatic reasoning. As a step towards an explanatory theory of reasoning with Euler diagrams, we argue that the effectiveness of Euler diagrams in supporting syllogistic reasoning derives from the fact that they are effective ways of representing and reasoning about relational structures that are implicit in categorical sentences. A special attention is paid to how Euler diagrams can facilitate the task of checking the invalidity of an inference, a task that is known to be particularly difficult for untrained reasoners. The distinctive features of our conception of diagrammatic reasoning are made clear by comparing it with the model-theoretic conception of ordinary reasoning developed in the mental model theory.

AB - Although diagrams have been widely used as methods for introducing students to elementary logical reasoning, it is still open to debate in cognitive psychology whether logic diagrams can aid untrained people to successfully conduct deductive reasoning. In our previous work, some empirical evidence was provided for the effectiveness of Euler diagrams in the process of solving categorical syllogisms. In this paper, we discuss the question of why Euler diagrams have such inferential efficacy in the light of a logical and proof-theoretical analysis of categorical syllogisms and diagrammatic reasoning. As a step towards an explanatory theory of reasoning with Euler diagrams, we argue that the effectiveness of Euler diagrams in supporting syllogistic reasoning derives from the fact that they are effective ways of representing and reasoning about relational structures that are implicit in categorical sentences. A special attention is paid to how Euler diagrams can facilitate the task of checking the invalidity of an inference, a task that is known to be particularly difficult for untrained reasoners. The distinctive features of our conception of diagrammatic reasoning are made clear by comparing it with the model-theoretic conception of ordinary reasoning developed in the mental model theory.

KW - Categorical syllogisms

KW - Diagrammatic reasoning

KW - Efficacy

KW - Euler diagram

KW - Mental model theory

KW - Relational inferences

UR - http://www.scopus.com/inward/record.url?scp=84885059842&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84885059842&partnerID=8YFLogxK

U2 - 10.1016/j.jvlc.2013.08.007

DO - 10.1016/j.jvlc.2013.08.007

M3 - Article

AN - SCOPUS:84885059842

JO - Journal of Visual Languages and Computing

JF - Journal of Visual Languages and Computing

SN - 1045-926X

ER -