David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
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.
Similar books and articles
Jouko Väänänen & Dag Westerståhl (2002). On the Expressive Power of Monotone Natural Language Quantifiers Over Finite Models. Journal of Philosophical Logic 31 (4):327-358.
R. Zuber (2010). A Note on the Monotonicity of Reducible Quantifiers. Journal of Logic, Language and Information 19 (1):123-128.
Philip L. Peterson (1991). Complexly Fractionated Syllogistic Quantifiers. Journal of Philosophical Logic 20 (3):287 - 313.
Gilad Ben-Avi & Yoad Winter (2003). Monotonicity and Collective Quantification. Journal of Logic, Language and Information 12 (2):127-151.
B. Geurts (2005). Monotonicity and Processing Load. Journal of Semantics 22 (1):97-117.
Ian Pratt-Hartmann (2011). The Hamiltonian Syllogistic. Journal of Logic, Language and Information 20 (4):445-474.
Anthony J. Sanford, Linda M. Moxey & Kevin Paterson (1994). Psychological Studies of Quantifiers. Journal of Semantics 11 (3):153-170.
Hanoch Ben-Yami (2009). Generalized Quantifiers, and Beyond. Logique Et Analyse (208):309-326.
Fred Johnson (1994). Syllogisms with Fractional Quantifiers. Journal of Philosophical Logic 23 (4):401 - 422.
Phil Corkum (forthcoming). Is Aristotle's Syllogistic a Logic? History and Philosophy of Logic.
G. Politzer (2007). The Psychological Reality of Classical Quantifier Entailment Properties. Journal of Semantics 24 (4):331-343.
R. Zuber (2007). Symmetric and Contrapositional Quantifiers. Journal of Logic, Language and Information 16 (1):1-13.
Livio Robaldo (2010). Independent Set Readings and Generalized Quantifiers. Journal of Philosophical Logic 39 (1):23-58.
Friederike Moltmann (2003). Nominalizing Quantifiers. Journal of Philosophical Logic 32 (5):445-481.
Ed Keenan (1999). Quantification in English is Inherently Sortal. History and Philosophy of Logic 20 (3-4):251-265.
Added to index2010-11-26
Total downloads22 ( #79,499 of 1,102,875 )
Recent downloads (6 months)7 ( #36,679 of 1,102,875 )
How can I increase my downloads?