International Conference on Theory and Application of Diagrams

Diagrams 2014: Diagrammatic Representation and Inference pp 190-197 | Cite as

An Empirical Study of Diagrammatic Inference Process by Recording the Moving Operation of Diagrams

  • Yuri Sato
  • Yuichiro Wajima
  • Kazuhiro Ueda
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8578)


In this study, we investigate how people manipulate diagrams in logical reasoning, especially no valid conclusion (NVC) tasks. In NVC tasks, premises are given and people are asked to judge whether “no consequence can be drawn from the premises.” Here, we introduce a method of asking participants to directly manipulate instances of diagrammatic objects as a component of inferential processes. We observed how participants move Euler diagrams, presented on a PC monitor, to solve syllogisms with universally quantified sentences. In the NVC tasks, 88.6% of our participants chose to use an enumeration strategy with multiple configurations of conclusion diagrams and/or a partial-overlapping strategy of placing two circles. Our results provide evidence that NVC judgment for tasks with diagrams can be reached using an efficient way of counter-example construction.


inference process NVC task Euler diagram 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Yuri Sato
    • 1
  • Yuichiro Wajima
    • 1
  • Kazuhiro Ueda
    • 1
  1. 1.Interfaculty Initiative in Information StudiesThe University of TokyoJapan

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