Abstract
The theory of reasoning by mental models provides a far-reaching account of deductive reasoning processes covering syllogistic reasoning, propositional reasoning, spatial and temporal reasoning, among others. It is a semantic theory based on representational assumptions about mental models, a set of rules to manipulate such models, and assumptions about working memory involvement. The chapter reviews old and new data that address these fundamental assumptions in the domain of propositional reasoning. In particular, premise-reading time data are used to examine the representational assumptions about initial models, data from multinomial-modeling analyses test the predictions for problem difficulty, and data from dual-task paradigms address the working memory assumptions. Training studies finally provide insight into the interplay of different reasoning strategies with simplified fallback heuristics employed by reasoners working under cognitive load.
The research reported in this chapter was supported in part by grant KI 615/5-1 from the Deutsche Forschungsgeme inschaft.
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References
Baddeley, A. D. (1986). Working memory. Oxford: Clarendon.
Baddeley, A. D. (1996). Exploring the central executive. Quarterly Journal of Experimental Psychology, 49A, 5–28.
Baddeley, A. D. (1997). Human memory. Theory and practice (2nd ed.). Hove, UK: Psychology Press.
Batchelder, W. H. & Riefer, D. M. (forthcoming). Theoretical and empirical review of multinomial processing tree modeling. Psychonomic Bulletin & Review.
Bauer, M. I. & Johnson-Laird, P. N. (1993). How diagrams can improve reasoning. Psychological Science, 4, 372–378.
Braine, M. D. S., O’Brien, D. P., Noveck, I. A., Samuels, M. C, Lea, R. B., Fisch, S. M., & Yang, Y. (1995). Predicting intermediate and multiple conclusions in propositional logic inference problems: Further evidence for a mental logic. Journal of Experimental Psychology: General, 124, 263–292.
Braine, M. D. S. & Rumain, B. (1983). Logical reasoning. In J. H. Flavell & E. M. Markman (Eds.), Handbook of child psychology: Vol. 3. Cognitive development (pp. 263–340). New York: Wiley.
Byrne, R. M. J. & Johnson-Laird, P. N. (1989). Spatial reasoning. Journal of Memory and Language, 28, 564–575.
Cheng, P. W. & Holyoak, K. J. (1985). Pragmatic reasoning schemas. Cognitive Psychology, 17, 391–416.
Cheng, P. W. & Holyoak, K. J. (1989). On the natural selection of reasoning theories. Cognition, 33, 285–313.
Cheng, P. W., Holyoak, K. J., Nisbett, R. E., & Oliver, L. M. (1986). Pragmatic versus syntactic approaches to training deductive reasoning. Cognitive Psychology, 18, 293–328.
Cosmides, L. (1989). The logic of social exchange: Has natural selection shaped how humans reason? Studies with the Wason selection task. Cognition, 31, 187–276.
Erickson, J. R. (1974). A set analysis theory of behavior in formal syllogistic reasoning tasks. In R. Solso (Ed.), Theories in cognitive psychology: The Loyola Symposium (pp. 305–329). Potomac, MD: Erlbaum.
Erickson, J. R. (1978). Research on syllogistic reasoning. In R. Revlin & R. E. Mayer (Eds.), Human reasoning (pp. 39–50). Washington, DC: Winston.
Evans, J. St. B. T. (1982). The psychology of deductive reasoning. London: Routledge and Kegan Paul.
Evans, J. St. B. T. (1993). The mental model theory of conditional reasoning: Critical appraisal and revision. Cognition, 48, 1–20.
Evans, J. St. B. T. & Newstead, S. E. (1980). A study of disjunctive reasoning. Psychological Research, 41, 373–388.
Evans, J. St. B. T., Newstead, S. E., & Byrne, R. M. J. (1993). Human reasoning. Hillsdale, NJ: Erlbaum.
Ford, M. (1994). Two modes of mental representation and problem solution in syllogistic reasoning. Cognition, 54, 1–71.
Gigerenzer, G. (1996). Rationality: Why social context matters. In P. Baltes & U. M. Staudinger (Eds.), Interactive minds: Life-span perspectives on the social foundation of cognition (pp. 319–346). Cambridge, UK: University Press.
Gilhooly, K. J. (1998). Working memory, strategies, and reasoning tasks. In R. H. Logie & K. J. Gilhooly (Eds.), Working memory and thinking (pp. 7–22). Hove, UK: Psychology Press.
Gilhooly, K. J., Logie, R. H., Wetherick, N. E., & Wynn, V. (1993). Working memory and strategies in syllogistic-reasoning tasks. Memory and Cognition, 21, 115–124.
Gilinsky, A. S. & Judd, B. B. (1994). Working memory and bias in reasoning across the life span. Psychology and Aging, 9, 356–371.
Glenberg, A. M., Kruley, P., & Langsten, W. E. (1994). Analogical processes in comprehension. Simulation of a mental model. In M. A. Gernsbacher (Ed.), Handbook of psycholinguistics (pp. 609–640). San Diego, CA: Academic Press.
Guyote, M. F. & Sternberg, R. J. (1981). A transitive-chain theory of syllogistic reasoning. Cognitive Psychology, 13, 461–525.
Holyoak, K. J. & Cheng, P. W. (1995). Pragmatic reasoning with a point of view. Thinking and Reasoning, 1, 289–313.
Hu, X. & Batchelder, W. H. (1994). The statistical analysis of general processing tree models with the EM algorithm. Psychometrika, 59, 21–47.
Johnson-Laird, P. N. (1983). Mental models. Towards a cognitive science of language, inference, and consciousness. Cambridge, UK: University Press.
Johnson-Laird, P. N. (1985). Deductive reasoning ability. In R. J. Sternberg (Ed.), Human abilities: An information processing approach (pp. 173–194). New York: Freeman.
Johnson-Laird, P. N. & Byrne, R. M. J. (1991). Deduction. Hillsdale, NJ: Erlbaum.
Johnson-Laird, P. N. & Byrne, R. M. J. (1993). Mental models or formal rules? Behavioral and Brain Sciences, 16, 368–380.
Johnson-Laird, P. N., Byrne, R. M. J., & Schaeken, W. (1992). Propositional reasoning by model. Psychological Review, 99, 418–439.
Johnson-Laird, P. N., Legrenzi, P., Girotte, V., Legrenzi, M. S., & Caverai, J.-P. (in press). Naive probability: A mental model theory of extensional reasoning. Psychological Review.
Kirby, K. N. & Kosslyn, S. M. (1990). Thinking visually. Mind and Language, 5, 324–341.
Klauer, K. C. (1994). Zur Modelltheorie des aussagenlogischen Schluβfolgerns: Zeitliche Faktoren beim Konstruieren und Anwenden mentaler Modelle [The mental model theory of propositional reasoning: Temporal factors in constructing and applying mental models]. Sprache & Kognition, 13, 1–25.
Klauer, K. C. (1998). Visuelle und räumliche Interferenzen beim Schluβfolgern [Visual and spatial interference in deductive reasoning]. Kognitionswissen-schaft, 7, 11–18.
Klauer, K. C., Meiser, T., & Naumer, B. (1997). Training propositional reasoning. Unpublished manuscript, Universität Bonn.
Klauer, K. C. & Oberauer, K. (1995). Testing the mental model theory of propositional reasoning. Quarterly Journal of Experimental Psychology, 48A, 671–687.
Klauer, K. C., Oberauer, K., Roβnagel, C., & Musch, J. (1996). Mentale Bilder und Mentale Modelle [Mental images and mental modeis]. Zeitschrift für Psychologie, 204, 41–54.
Klauer, K. C., Stegmaier, R., & Meiser, T. (1997). Working memory involvement in propositional and spatial reasoning. Thinking and Reasoning, 3, 9–47.
Kliegl, R., Smith, J., & Baltes, P. B. (1989). Testing-the-limits and the study of adult age differences in cognitive plasticity of a mnemonic skill. Development Psychology, 25, 247–256.
Logie, R. H. (1995). Visuo-spatial working memory. Hove, UK: Erlbaum.
MacLennan, B. J. (1993). Visualizing the possibilities. Behavioral and Brain Sciences, 16, 356–357.
Oakhill, J. V. & Johnson-Laird, P. N. (1984). Representation of spatial descriptions in working memory. Current Psychological Research & Reviews, 3, 52.
Rips, L. J. (1994). The psychology of proof. Cambridge, MA: MIT Press.
Roberge, J. J. (1978). Linguistic and psychometric factors in propositional reasoning. Quarterly Journal of Experimental Psychology, 30, 705–716.
Staudenmayer, H. (1975). Understanding conditional reasoning with meaningful propositions. In R. J. Falmagne (Ed.), Reasoning: Representation and process in children and adults (pp. 55–79). Hillsdale, NJ: Erlbaum.
Staudenmayer, H. & Bourne, L. E. (1978). The nature of denied propositions in the conditional reasoning task: Interpretation and learning. In R. Revlin & R. E. Mayer (Eds.), Human reasoning (pp. 83–99). New York: Wiley.
Stenning, K., & Oberlander, J. (1995). A cognitive theory of graphical and linguistic reasoning: Logic and implementation. Cognitive Science, 19, 97–140.
Toms, M., Morris, N. & Ward, D. (1993). Working memory and conditional reasoning. Quarterly Journal of Experimental Psychology, 46A, 679–699.
Vandierendonck, A. & De Vooght, G. (1997). Working memory constraints on linear reasoning with spatial and temporal contents. Quarterly Journal of Experimental Psychology, 50A, 803–820.
Wason, P. C. (1966). Reasoning. In B. M. Foss (Ed.), New horizons in psychology 1 (pp. 135–151). Harmondsworth, UK: Penguin.
Wason, P. C. & Johnson-Laird, P. N. (1972). The psychology of reasoning: Structure and content. London: Batsford.
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Klauer, K.C., Meiser, T., Naumer, B. (2000). Extending the Theory of Reasoning by Mental Models: Tests of New Predictions. In: von Hecker, U., Dutke, S., Sedek, G. (eds) Generative Mental Processes and Cognitive Resources. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4373-8_2
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DOI: https://doi.org/10.1007/978-94-011-4373-8_2
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