NDLI: How Diagrams Can Support Syllogistic Reasoning: An Experimental Study

Content Provider	Springer Nature Link
Author	Sato, Yuri Mineshima, Koji
Copyright Year	2015
Abstract	This paper explores the question of what makes diagrammatic representations effective for human logical reasoning, focusing on how Euler diagrams support syllogistic reasoning. It is widely held that diagrammatic representations aid intuitive understanding of logical reasoning. In the psychological literature, however, it is still controversial whether and how Euler diagrams can aid untrained people to successfully conduct logical reasoning such as set-theoretic and syllogistic reasoning. To challenge the negative view, we build on the findings of modern diagrammatic logic and introduce an Euler-style diagrammatic representation system that is designed to avoid problems inherent to a traditional version of Euler diagrams. It is hypothesized that Euler diagrams are effective not only in interpreting sentential premises but also in reasoning about semantic structures implicit in given sentences. To test the hypothesis, we compared Euler diagrams with other types of diagrams having different syntactic or semantic properties. Experiment compared the difference in performance between syllogistic reasoning with Euler diagrams and Venn diagrams. Additional analysis examined the case of a linear variant of Euler diagrams, in which set-relationships are represented by one-dimensional lines. The experimental results provide evidence supporting our hypothesis. It is argued that the efficacy of diagrams in supporting syllogistic reasoning crucially depends on the way they represent the relational information contained in categorical sentences.
Starting Page	409
Ending Page	455
Page Count	47
File Format	PDF
ISSN	09258531
Journal	Journal of Logic, Language and Information
Volume Number	24
Issue Number	4
e-ISSN	15729583
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-10-08
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Efficacy of diagrams Human reasoning Logic and cognition Human experimentation Quantification Categorical syllogism External representation Logic Semantics Information Systems Applications (incl. Internet)
Content Type	Text
Resource Type	Article
Subject	Philosophy Computer Science Linguistics and Language

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