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The evaluation of the consistency of quantified assertions
Marco Ragni1, Sangeet Khemlani, P N Johnson-Laird
1Center for Cognitive Science, University of Freiburg, Friedrichstr. 50, 79098, Freiburg, Germany, ragni@cognition.uni-freiburg.de.
Abstract:
Consistency is a hallmark of rationality, and this article reports three experiments examining how reasoners determine the consistency of quantified assertions about the properties of individuals-for example, All of the actors are waiters. The mental model theory postulates that reasoners determine consistency by trying to construct a model of all of the assertions in a set. As the theory predicts, consistency is easier to establish when many different sorts of individuals satisfy the assertions (Exp. 1), when the predicted initial mental model satisfies them (Exp. 2), and otherwise when the model satisfying them is not too distant from the initial model, according to Levenshtein's metric (Exp. 3).
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