Abstract
In this paper we deal with two types of reasoning: induction, and deduction First, we present a unified computational model of deductive reasoning through models, where deduction occurs in five phases: Construction, Integration, Conclusion, Falsification, and Response. Second, we make an attempt, to analyze induction through the same phases. Our aim is an explorative evaluation of the mental processes possibly shared by deductive and inductive reasoning.
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Bara B., Bucciarelli M., Lombardo, V. (1999), Model Theory of Deduction: A unified computational approach,Cognitive Science, in press.
Bar-Hillel, Y. and Carnap, R. (1964). An outline of a theory of semantic information, in Y. Bar-Hillel (Ed.)Language and information. (Reading, Addison-Wesley).
Bell, V.A. & Johnson-Laird, P.N. (1998) A model theory of modal reasoning,Cognitive Science, in press.
Braine, M. (1990) The “natural logic”, approach to reasoning, in W.F. Overton (Ed.),Reasoning, Necessity, and Logic (Hove, Lawrence Erlbaum Associates), pp. 133–157.
Braine, M. (1998) Steps towards a mental predicate logic, in M.D.S. Braine & D.P. O'Brien (Eds.),Mental Logic (Mahwah, Erlbaum).
Geminiani, G.C. & Bucciarelli, M. (1998) Deductive reasoning in right-brain damaged,Proceedings of the XX Conference of the Cognitive Science Society (Madison, Morton Ann Gernsbacher & Sharon J. Derry).
Geminiani, G.C., Carassa, A., Bara, B. G., (1996) Causality by contact, in A. Garnham. & J. Oakhill (Eds.)Mental Models in Cognitive Science: Essays in Honour of Phil Johnson-Laird (Hove, Lawrence Erlbaum Associates), pp. 275–303.
Johnson-Laird, P.N. (1983)Mental models (Cambridge, Cambridge University Press).
Johnson-Laird, P.N., (1993)Human and machine thinking (Hillsdale, Erlbaum).
Johnson-Laird, P.N. & Anderson, T. (1989) Common-sense inference,Mimeo (Princeton University).
Johnson-Laird, P.N. & Byrne, R. 1991.Deduction (Hillsdale, Lawrence, Erlbaum Associates).
Johnson-Laird, P.N., Legrenzi, P., Girotto, V., Sonino Legrenzi, M. & Caverni, J.P. (1999) Naive probability: A mental model theory of extensional reasoning.Psychological Review, in press.
Legrenzi, P., Girotto, V. & Johnson-Laird, P.N. (1993) Focussing in reasoning and decision making.Cognition, 49, pp. 37–66.
Luria, A.R. (1976)Cognitive development, its cultural and social foundations, (Cambridge, Harvard Univ. Press).
Michalsky, R.S. (1983) A theory and methodology of inductive learning, in R.S. Michalsky, J.R. Carbonell & T.M. Mitchell (Eds.),Machine learning: An artificial intelligence, approach (Los Altos, Morgan Kaufmann).
Rips, L.J. (1994)The psychology of proof: Deductive reasoning in human thinking (Cambridge, MIT Press).
Savary, F., Whitaker, H., Markovits, H. (1992) Counterfactual reasoning deficits in right brain damage patients,Mimeo (Department of Psychology, University of Quebec at Montreal).
Shafir, E. & Tversky, A. (1992) Thinking through uncertainty: Nonconsequential reasoning and choice,Cognitive Psychology, 24, pp. 449–474.
Tversky, A. & Kahneman, D. (1973) Availability: A heuristic for judging frequency and probability.Cognitive Psychology, 5, pp. 207–232.
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Bara, B.G., Bucciarelli, M. Deduction and induction: Reasoning through mental models. Mind & Society 1, 95–107 (2000). https://doi.org/10.1007/BF02512231
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DOI: https://doi.org/10.1007/BF02512231