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The Efficacy of Diagrams in Syllogistic Reasoning: A Case of Linear Diagrams

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Diagrammatic Representation and Inference (Diagrams 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7352))

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Abstract

We study the efficacy of external diagrams in syllogistic reasoning, focusing on the effectiveness of a linear variant of Euler diagrams. We tested subjects’ performances in syllogistic reasoning tasks where linear diagrams were externally supplied. The results indicated that the linear diagrams work as effectively as Euler diagrams. It is argued that the relational information such as inclusion and exclusion is crucial for understanding the efficacy of diagrams in syllogistic reasoning.

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References

  1. Calvillo, D.P., DeLeeuw, K., Revlin, R.: Deduction with Euler Circles: Diagrams That Hurt. In: Barker-Plummer, D., Cox, R., Swoboda, N. (eds.) Diagrams 2006. LNCS (LNAI), vol. 4045, pp. 199–203. Springer, Heidelberg (2006)

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  2. Lemon, O., Pratt, I.: On the insufficiency of linear diagrams for syllogisms. Notre Dame Journal of Formal Logic 39(4), 573–580 (1998)

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  3. Mineshima, K., Okada, M., Takemura, R.: A diagrammatic reasoning system with Euler circles. Journal of Logic, Language and Information (to appear, in press)

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  4. Sato, Y., Mineshima, K., Takemura, R.: The Efficacy of Euler and Venn Diagrams in Deductive Reasoning: Empirical Findings. In: Goel, A.K., Jamnik, M., Narayanan, N.H. (eds.) Diagrams 2010. LNCS(LNAI), vol. 6170, pp. 6–22. Springer, Heidelberg (2010)

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  5. Sato, Y., Mineshima, K., Takemura, R.: Constructing internal diagrammatic proofs from external logic diagrams. In: Proceedings of 32nd Annual Conference of the Cognitive Science Society, pp. 2668–2673 (2010b)

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© 2012 Springer-Verlag Berlin Heidelberg

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Sato, Y., Mineshima, K. (2012). The Efficacy of Diagrams in Syllogistic Reasoning: A Case of Linear Diagrams. In: Cox, P., Plimmer, B., Rodgers, P. (eds) Diagrammatic Representation and Inference. Diagrams 2012. Lecture Notes in Computer Science(), vol 7352. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31223-6_49

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  • DOI: https://doi.org/10.1007/978-3-642-31223-6_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31222-9

  • Online ISBN: 978-3-642-31223-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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