The efficacy of Euler and Venn diagrams in deductive reasoning: Empirical findings

Yuri Sato, Koji Mineshima, Ryo Takemura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

23 Citations (Scopus)

Abstract

This paper discusses the cognitive differences between reasoning with Euler diagrams and reasoning with Venn diagrams. We test subjects' performances in syllogism solving in case where these two types of diagrams are used. We conduct an analysis on the role played by the conventional devices of each diagram in reasoning processes. Based on this, we hypothesize that of the two types of diagrams, only Euler diagrams could guide subjects without prior knowledge of their inferential strategies for combining diagrams. To test this hypothesis, subjects in our experiment are only provided with instructions on the meanings of diagrams and required to solve reasoning tasks without any instruction on the solving strategies. Our experimental results support the hypothesis and indicate that Euler diagrams can not only contribute to subjects' correct interpretation of categorical sentences used but also play a crucial role in reasoning processes themselves.

Original languageEnglish
Title of host publicationDiagrammatic Representation and Inference - 6th International Conference, Diagrams 2010, Proceedings
Pages6-22
Number of pages17
DOIs
Publication statusPublished - 2010 Aug 26
Event6th International Conference on the Theory and Application of Diagrams, Diagrams 2010 - Portland, OR, United States
Duration: 2010 Aug 92010 Aug 11

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6170 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other6th International Conference on the Theory and Application of Diagrams, Diagrams 2010
CountryUnited States
CityPortland, OR
Period10/8/910/8/11

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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    Sato, Y., Mineshima, K., & Takemura, R. (2010). The efficacy of Euler and Venn diagrams in deductive reasoning: Empirical findings. In Diagrammatic Representation and Inference - 6th International Conference, Diagrams 2010, Proceedings (pp. 6-22). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6170 LNAI). https://doi.org/10.1007/978-3-642-14600-8_6