Abstract
How do we reason about topological relations? Do people with different cultural backgrounds differ in how they reason about such relations? We conducted two topological reasoning experiments, one in Germany and one in Mongolia to analyze such questions. Topological relations such as “A overlaps B”, “B lies within C” were presented to the participants as premises and they had to find a conclusion that was consistent with the premises (“What is the relation between A and C?”). The problem description allowed multiple possible “conclusions”. Our results, however, indicate that the participants had strong preferences: They consistently preferred one of the possible conclusions and neglected other conclusions, although they were also consistent with the premises. The preferred and neglected conclusions were quite similar in Germany and Mongolia.
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References
Allen, J.F.: Maintaining knowledge about temporal intervals. Communications of the ACM 26, 832–843 (1983)
Berry, J.W.: Human ecology and cognitive style: Comparative studies in cultural and psychological adaptation. Sage/Halstead/Wiley, New York (1976)
Berry, J.W.: An ecological approach to understanding cognition across cultures. In: Altarriba, J. (ed.) Cognition and culture: A cross-cultural approach to cognitive psychology, pp. 361–375. North-Holland, Amsterdam (1993)
Berry, J.W., Saraswathi, T.S., Dasen, P.R. (eds.): Handbook of cross-cultural Psychology, Allyn & Bacon, Boston, MA. Basic processes and human development, vol. II (1997)
Byrne, R.M.J., Johnson-Laird, P.N.: Spatial reasoning. Journal of Memory and Language 28, 564–575 (1989)
Chan, T.T., Bergen, B.: Writing direction influences spatial cognition. In: Bara, B., Barsalou, L.W., Bucciarelli, M. (eds.) Proceedings of the 27th Annual Conference of the Cognitive Science Society, pp. 412–417. Erlbaum, Mahwah, NJ (2005)
Cohn, A.G.: Qualitative spatial representation and reasoning techniques. In: Brewka, G., Habel, C., Nebel, B. (eds.) KI-97: Advances in Artificial Intelligence, pp. 1–30. Springer, Heidelberg (1997)
Egenhofer, M.J.: Reasoning about binary topological relations. In: Günther, O., Schek, H.J. (eds.) Proceedings of the Second Symposium on Large Scaled Spatial Databases, pp. 143–160. Springer, Berlin (1991)
Egenhofer, M.J., Franzosa, R.: Point-set topological spatial relations. International Journal of Geographical Information Systems 2, 133–152 (1991)
Egenhofer, M.J., Clementini, E., Di Felice, P.: Topological relations between regions with holes. International Journal of Geographical Information Systems 2, 129–144 (1994)
Fangmeier, T., Knauff, M., Ruff, C.C., Sloutsky, V., FMRI,: evidence for a three-stage model of deductive reasoning. Journal of Cognitive Neuroscience 18, 320–334 (2006)
Freksa, C.: Temporal reasoning based on semi-intervals. Artificial Intelligence 54, 199–227 (1992)
Hunter, I.M.L.: The solving of three-term series problems. British Journal of Psychology 48, 286–298 (1957)
Jahn, G., Knauff, M., Johnson-Laird, P.N.: Preferred Mental Models in Reasoning about Spatial Relations. Memory & Cognition (to appear)
Janhunen, J. (ed.): The Mongolic languages. Routledge, London (2003)
Johnson-Laird, P.N.: The three-term series problem. Cognition 1, 57–82 (1972)
Johnson-Laird, P.N.: Mental models. Towards a cognitive science of language, inference, and consciousness. Harvard University Press, Cambridge, MA (1983)
Johnson-Laird, P.N.: Mental models and deduction. Trends in Cognitive Sciences 5, 434–442 (2001)
Johnson-Laird, P.N., Byrne, R.M.J.: Deduction. Erlbaum, Hove, UK (1991)
Knauff, M., Rauh, R., Schlieder, C.: Preferred mental models in qualitative spatial reasoning: A cognitive assessment of Allen’s calculus. In: Moore, J.D., Lehman, J.F. (eds.) Proceedings of the Seventeenth Annual Conference of the Cognitive Science Society, pp. 200–205. Lawrence Erlbaum Associates, Mahwah, NJ (1995)
Knauff, M.: The cognitive adequacy of Allen’s interval calculus for qualitative spatial representation and reasoning. Spatial Cognition and Computation 1, 261–290 (1999)
Levinson, S., Kita, S., Haun, D., Rasch, B.: Returning the tables: Language affects spatial reasoning. Cognition 84, 155–188 (2002)
Levinson, S.C., Meira, S.: ’Natural concepts’ in the spatial topological domain. Language 79(3), 485–516 (2003)
Manktelow, K.I.: Reasoning and Thinking. Psychology Press, Hove, UK (1999)
Mark, D., Egenhofer, M.: Modeling spatial relations between lines and regions: combining formal mathematical models and human subjects testing. Cartography and Geographic Information Systems 21, 195–212 (1994)
Mark, D., Comas, D., Egenhofer, M., Freundschuh, S., Gould, J., Nunes, J.: Evaluating and refining computational models of spatial relations through cross-linguistic human-subjects testing. In: Frank, A., Kuhn, W. (eds.) Spatial Information Theory: A theoretical basis for GIS, pp. 553–568. Springer, Berlin (1995)
Ragni, M., Fangmeier, T., Webber, L., Knauff, M.: Complexity in Spatial Reasoning. In: Proceedings of the 28th Annual Cognitive Science Conference, Lawrence Erlbaum Associates, Mahwah, NJ (2006)
Ragni, M., Knauff, M., Nebel, B.: A Computational Model for Spatial Reasoning with Mental Models. In: Bara, B.G., Barsalou, L., Bucciarelli, M. (eds.) Proceedings of the 27th Annual Cognitive Science Conference, pp. 1064–1070. Lawrence Erlbaum, Mahwah, NJ (2005)
Ragni, M., Wölfl, S.: On Generalized Neighborhood Graphs. In: Furbach, U. (ed.) KI 2005: Advances in Artificial Intelligence, 28th Annual German Conference on AI, Springer, Berlin (2005)
Randell, D.A., Cohn, A.G., Cui, Z.: Computing transitivity tables: A challenge for automated theory provers. In: Proceedings of the 11th CADE, Springer, Berlin (1992)
Randell, D.A., Cui, Z., Cohn, A.G.: A spatial logic based and regions and connection. In: Nebel, B., Swarthout, W., Rich, C. (eds.) Proceedings of the third Conference on Principles of Knowledge Representation and Reasoning, pp. 165–176. Morgan Kaufmann, Cambridge, MA (1992)
Rauh, R., Hagen, C., Knauff, M., Kuβ, T., Schlieder, C., Strube, G.: Preferred and alternative mental models in spatial reasoning. Spatial Cognition and Computation (2005)
Schlieder, C., Berendt, B.: Mental model construction in spatial reasoning: A comparison of two computational theories. In: Schmid, U., Krems, J.F., Wysotzki, F. (eds.) Mind modelling: A cognitive science approach to reasoning, pp. 133–162. Pabst Science Publishers, Lengerich (1998)
Spalek, T.M., Hammad, S.: The left-to-right bias in inhibition of return is due to the direction of reading. Psychological Science 16, 15–18 (2005)
Vögele, T., Schlieder, C., Visser, U.: Intuitive Modelling of Place Name Regions for Spatial Information Retrieval. In: Kuhn, W., Worboys, M.F. Timpf, S., (eds.): Spatial Information Theory. Foundations of Geographic Information Science, International Conference, Proceedings of the COSIT 2003. Springer, Berlin (2003)
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Ragni, M., Tseden, B., Knauff, M. (2007). Cross-Cultural Similarities in Topological Reasoning. In: Winter, S., Duckham, M., Kulik, L., Kuipers, B. (eds) Spatial Information Theory. COSIT 2007. Lecture Notes in Computer Science, vol 4736. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74788-8_3
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DOI: https://doi.org/10.1007/978-3-540-74788-8_3
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