Cognition 86 (3):223--251 (2003)

Authors
Bart Geurts
Radboud University Nijmegen
Abstract
In the semantics of natural language, quantification may have received more attention than any other subject, and one of the main topics in psychological studies on deductive reasoning is syllogistic inference, which is just a restricted form of reasoning with quantifiers. But thus far the semantical and psychological enterprises have remained disconnected. This paper aims to show how our understanding of syllogistic reasoning may benefit from semantical research on quantification. I present a very simple logic that pivots on the monotonicity properties of quantified statements - properties that are known to be crucial not only to quantification but to a much wider range of semantical phenomena. This logic is shown to account for the experimental evidence available in the literature as well as for the data from a new experiment with cardinal quantifiers ("at least n" and "at most n"), which cannot be explained by any other theory of syllogistic reasoning
Keywords generalised   monotonicity   quantifiers   reasonings   syllogistic
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DOI 10.1016/S0010-0277(02)00180-4
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References found in this work BETA

Reference and Generality.P. T. Geach - 1962 - Ithaca: Cornell University Press.
Generalized Quantifiers and Natural Language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
A Natural History of Negation.Jon Barwise & Laurence R. Horn - 1991 - Journal of Symbolic Logic 56 (3):1103.
Generalized Quantifiers and Natural Language.Jon Barwise - 1980 - Linguistics and Philosophy 4:159.

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Citations of this work BETA

Why Do Humans Reason? Arguments for an Argumentative Theory.Dan Sperber - 2011 - Behavioral and Brain Sciences 34 (2):57.
Generalized Update Semantics.Simon Goldstein - 2019 - Mind 128 (511):795-835.

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