In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Birkhäuser. pp. 219--227 (2012)

Authors
Duilio D'Alfonso
Università degli Studi di Palermo
Abstract
In this paper I propose a set-theoretical interpretation of the logical square of opposition, in the perspective opened by generalized quantifier theory. Generalized quantifiers allow us to account for the semantics of quantificational Noun Phrases, and of other natural language expressions, in a coherent and uniform way. I suggest that in the analysis of the meaning of Noun Phrases and Determiners the square of opposition may help representing some semantic features responsible to different logical properties of these expressions. I will conclude with some consideration on scope interactions between quantifiers.
Keywords generalized quantifiers  natural language semantics
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References found in this work BETA

Generalized Quantifiers and Natural Language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
Quantifiers in Language and Logic.Stanley Peters & Dag Westerståhl - 2006 - Oxford, England: Clarendon Press.
Generalized Quantifiers and Natural Language.Jon Barwise - 1980 - Linguistics and Philosophy 4:159.
On a Generalization of Quantifiers.Andrzej Mostowski - 1957 - Fundamenta Mathematicae 44 (2):12--36.

View all 10 references / Add more references

Citations of this work BETA

Logical Geometries and Information in the Square of Oppositions.Hans5 Smessaert & Lorenz6 Demey - 2014 - Journal of Logic, Language and Information 23 (4):527-565.
Duality in Logic and Language.Lorenz Demey & Hans Smessaert - 2016 - Internet Encyclopedia of Philosophy.
Equivalential Structures for Binary and Ternary Syllogistics.Selçuk Topal - 2018 - Journal of Logic, Language and Information 27 (1):79-93.
Natural Density and the Quantifier “Most”.Selçuk Topal & Ahmet Çevik - 2020 - Journal of Logic, Language and Information 29 (4):511-523.
Generalized Quantifiers: Logic and Language.Duilio D'Alfonso - 2011 - Logic and Philosophy of Science 9 (No. 1):85-94.

View all 6 citations / Add more citations

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