Human reasoning with proportional quantifiers and its support by diagrams

Yuri Sato, Koji Mineshima

研究成果: Conference contribution

5 被引用数 (Scopus)

抄録

In this paper, we study the cognitive effectiveness of diagrammatic reasoning with proportional quantifiers such as most. We first examine how Euler-style diagrams can represent syllogistic reasoning with proportional quantifiers, building on previous work on diagrams for the so-called plurative syllogism (Rescher and Gallagher, 1965). We then conduct an experiment to compare performances on syllogistic reasoning tasks of two groups: those who use only linguistic material (two sentential premises and one conclusion) and those who are also given Euler diagrams corresponding to the two premises. Our experiment showed that (a) in both groups, the speed and accuracy of syllogistic reasoning tasks with proportional quantifiers like most were worse than those with standard first-order quantifiers such as all and no, and (b) in both standard and non-standard (proportional) syllogisms, speed and accuracy for the group provided with diagrams were significantly better than the group provided only with sentential premises. These results suggest that syllogistic reasoning with proportional quantifiers like most is cognitively complex, yet can be effectively supported by Euler diagrams that represent the proportionality relationships between sets in a suitable way.

本文言語English
ホスト出版物のタイトルDiagrammatic Representation and Inference - 9th International Conference, Diagrams 2016, Proceedings
編集者Mateja Jamnik, Yuri Uesaka, Stephanie Elzer Schwartz
出版社Springer Verlag
ページ123-138
ページ数16
ISBN(印刷版)9783319423326
DOI
出版ステータスPublished - 2016 1月 1
外部発表はい
イベント9th International Conference on the Theory and Applications of Diagrams, Diagrams 2016 - Philadelphia, United States
継続期間: 2016 8月 72016 8月 10

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
9781
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Conference

Conference9th International Conference on the Theory and Applications of Diagrams, Diagrams 2016
国/地域United States
CityPhiladelphia
Period16/8/716/8/10

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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