David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Cognition 86 (3):223--251 (2003)
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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Citations of this work BETA
Dan Sperber (2011). Why Do Humans Reason? Arguments for an Argumentative Theory. Behavioral and Brain Sciences 34 (2):57.
Emmanuel Chemla (2009). Presuppositions of Quantified Sentences: Experimental Data. [REVIEW] Natural Language Semantics 17 (4):299-340.
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