An Eye-Tracking Study of Exploitations of Spatial Constraints in Diagrammatic Reasoning

Cognitive Science 37 (2):211-254 (2013)
  Copy   BIBTEX

Abstract

Semantic studies on diagrammatic notations (Barwise & Etchemendy, ; Shimojima, ; Stenning & Lemon, ) have revealed that the “non-deductive,” “emergent,” or “perceptual” effects of diagrams (Chandrasekaran, Kurup, Banerjee, Josephson, & Winkler, ; Kulpa, ; Larkin & Simon, ; Lindsay, ) are all rooted in the exploitation of spatial constraints on graphical structures. Thus, theoretically, this process is a key factor in inference with diagrams, explaining the frequently observed reduction of inferential load. The purpose of this study was to examine the empirical basis for this theoretical suggestion, focusing on the reality of the constraint-exploitation strategy in actual practices of diagrammatic reasoning. Eye movements were recorded while participants used simple position diagrams to solve three- or four-term transitive inference problems. Our experiments revealed that the participants could exploit spatial constraints on graphical structures even when (a) they were not in the position of actually manipulating diagrams, (b) the semantic rule for the provided diagrams did not match their preferences, and (c) the constraint-exploitation strategy invited a partly adverse effect. These findings indicate that the hypothesized process is in fact robust, with the potential to broadly account for the inferential advantage of diagrams

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,322

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

A Diagrammatic Inference System with Euler Circles.Koji Mineshima, Mitsuhiro Okada & Ryo Takemura - 2012 - Journal of Logic, Language and Information 21 (3):365-391.
On Frege's Logical Diagrams.Iulian D. Toader - 2004 - In Diagrammatic Representation and Inference. Springer: Lecture Notes in Computer Science, vol. 2980,. pp. 22-25.
The Tinctures and Implicit Quantification over Worlds.Jay Zeman - 1997 - In Paul Forster & Jacqueline Brunning (eds.), The Rule of Reason: The Philosophy of C.S. Peirce. University of Toronto Press. pp. 96-119.
Diagrams as sketches.Brice Halimi - 2012 - Synthese 186 (1):387-409.
On automating diagrammatic proofs of arithmetic arguments.Mateja Jamnik, Alan Bundy & Ian Green - 1999 - Journal of Logic, Language and Information 8 (3):297-321.
Pictures and pedagogy: The role of diagrams in Feynman's early lectures.Ari Gross - 2012 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (3):184-194.

Analytics

Added to PP
2013-03-05

Downloads
46 (#336,891)

6 months
4 (#818,853)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Atsushi Shimojima
Doshisha University

Citations of this work

How Diagrams Can Support Syllogistic Reasoning: An Experimental Study.Yuri Sato & Koji Mineshima - 2015 - Journal of Logic, Language and Information 24 (4):409-455.
Strategy Analysis of Non-consequence Inference with Euler Diagrams.Yuri Sato, Yuichiro Wajima & Kazuhiro Ueda - 2018 - Journal of Logic, Language and Information 27 (1):61-77.

Add more citations