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Reasoning About Consistency with Spatial Mental Models: Hidden and Obvious Indeterminacy in Spatial Descriptions

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Book cover Spatial Cognition IV. Reasoning, Action, Interaction (Spatial Cognition 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3343))

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Abstract

The assessment of whether a statement is consistent with what has gone before is ubiquitous in discourse comprehension. One theory of the process is that individuals search for a mental model of a situation in which all the statements in the discourse are true. In the case of spatial descriptions, individuals should prefer to construct models, which retain the information in the description. Hence, they should use strategies that retain information in an efficient way. If the descriptions are consistent with multiple models then they are likely to run into difficulties. We report some preliminary results of experiments in which the participants judged the consistency of spatial descriptions. The participants made more errors when later assertions in the description conflicted with the preferred models of earlier assertions.

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References

  1. Johnson-Laird, P.N.: Mental models. Harvard University Press, Cambridge (1983)

    Google Scholar 

  2. Byrne, R.M., Johnson-Laird, P.N.: Spatial reasoning. Journal of Memory and Language 28, 564–575 (1989)

    Article  Google Scholar 

  3. Johnson-Laird, P.N., Legrenzi, P., Girotto, V., Legrenzi, M.S.: Illusions in reasoning about consistency. Science 288, 531–532 (2000)

    Article  Google Scholar 

  4. Legrenzi, P., Girotto, V., Johnson-Laird, P.N.: Models of consistency. Psychological Science 14, 131–137 (2003)

    Article  Google Scholar 

  5. Knauff, M., Rauh, R., Schlieder, C.: Preferred mental models in qualitative spatial reasoning: A cognitive assessment of Allen’s calculus. In: 17th annual conference of the Cognitive Science Society, pp. 200–205. Erlbaum, Mahwah (1995)

    Google Scholar 

  6. Knauff, M.: The cognitive adequacy of Allen’s interval calculus for qualitative spatial representation and reasoning. Spatial Cognition and Computation 1, 261–290 (1999)

    Article  Google Scholar 

  7. Payne, S.J.: Memory for mental models of spatial descriptions: An episodic-construction-trace hypothesis. Memory & Cognition 21, 591–603 (1993)

    Article  Google Scholar 

  8. Birney, D.P., Halford, G.S.: Cognitive complexity of suppositional reasoning: An application of the relational complexity metric to the knight-knave task. Thinking and Reasoning 8, 109–134 (2002)

    Article  Google Scholar 

  9. Halford, G.S., Wilson, W.H., Phillips, S.: Processing capacity defined by relational complexity: Implications for comparative, developmental, and cognitive psychology. Behavioral and Brain Sciences 21, 803–864 (1998)

    Google Scholar 

  10. Mainwaring, S.D., Tversky, B., Ohgishi, M., Schiano, D.J.: Descriptions of simple spatial scenes in English and Japanese. Spatial Cognition and Computation 3, 3–42 (2003)

    Article  Google Scholar 

  11. Tversky, B., Kugelmass, S., Winter, A.: Cross-cultural and developmental trends in graphic productions. Cognitive Psychology 23, 515–557 (1991)

    Article  Google Scholar 

  12. Linde, C., Labov, W.: Spatial networks as a site for the study of language and thought. Language 51, 924–939 (1975)

    Article  Google Scholar 

  13. Huttenlocher, J.: Constructing spatial images: A strategy in reasoning. Psychological Review 75, 550–560 (1968)

    Article  Google Scholar 

  14. Taylor, H.A., Tversky, B.: Spatial mental models derived from survey and route descriptions. Journal of Memory and Language 35, 371–391 (1992)

    Article  Google Scholar 

  15. Spivey, M.J., Tyler, M.J., Richardson, D.C., Young, E.E.: Eye movements during comprehension of spoken scene descriptions. In: 22nd Annual Conference of the Cognitive Science Society, pp. 487–492. Erlbaum, Mahwah (2000)

    Google Scholar 

  16. Vandierendonck, A., Dierckx, V., De Vooght, G.: Mental model construction in linear reasoning: Evidence for the construction of initial annotated models. Quarterly Journal of Experimental Psychology: Section A, Human Experimental Psychology (in press)

    Google Scholar 

  17. Schaeken, W., van der Henst, J.B., Schroyens, W.: The mental models theory of relational reasoning: Premise relevance, conclusion phrasing and cognitive economy. In: Schaeken, W., Vandierendock, A., Schroyens, W., d’Ydewalle, G. (eds.) The mental models theory of reasoning: Extensions and refinements, Erlbaum, Mahwah (in press)

    Google Scholar 

  18. Rauh, R.: Strategies of constructing preferred mental models in spatial relational inference. In: Schaeken, W., De Vooght, G., Vandierendonck, A., d’Ydewalle, G. (eds.) Deductive reasoning and strategies, pp. 177–190. Erlbaum, Mahwah (2000)

    Google Scholar 

  19. Levinson, S.: Frames of reference and Molyneux’s question: Crosslinguistic evidence. In: Bloom, P., Peterson, M., Nadel, L., Garrett, M. (eds.) Language and space, pp. 109–169. The MIT Press, Cambridge (1996)

    Google Scholar 

  20. Barsalou, L.W.: Perceptual symbol systems. Behavioral and Brain Sciences 22, 577–660 (1999)

    Google Scholar 

  21. Hörnig, R., Oberauer, K., Weidenfeld, A.: Two principles of premise integration in spatial reasoning. Memory & Cognition (in press)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Jahn, G., Johnson-Laird, P.N., Knauff, M. (2005). Reasoning About Consistency with Spatial Mental Models: Hidden and Obvious Indeterminacy in Spatial Descriptions. In: Freksa, C., Knauff, M., Krieg-Brückner, B., Nebel, B., Barkowsky, T. (eds) Spatial Cognition IV. Reasoning, Action, Interaction. Spatial Cognition 2004. Lecture Notes in Computer Science(), vol 3343. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-32255-9_10

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  • DOI: https://doi.org/10.1007/978-3-540-32255-9_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25048-7

  • Online ISBN: 978-3-540-32255-9

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