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Ambigous quantifiers

In E. Orłowska (ed.), Logic at Work. Heidelberg. pp. 548--565 (1999)

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  1. Natural Density and the Quantifier “Most”.Selçuk Topal & Ahmet Çevik - 2020 - Journal of Logic, Language and Information 29 (4):511-523.
    This paper proposes a formalization of the class of sentences quantified by most, which is also interpreted as proportion of or majority of depending on the domain of discourse. We consider sentences of the form “Most A are B”, where A and B are plural nouns and the interpretations of A and B are infinite subsets of \. There are two widely used semantics for Most A are B: \ > C \) and \ > \dfrac{C}{2} \), where C denotes (...)
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  • Semantic bounds for everyday language.Marcin Mostowski & Jakub Szymanik - 2012 - Semiotica 2012 (188):363-372.
    We consider the notion of everyday language. We claim that everyday language is semantically bounded by the properties expressible in the existential fragment of second–order logic. Two arguments for this thesis are formulated. Firstly, we show that so–called Barwise's test of negation normality works properly only when assuming our main thesis. Secondly, we discuss the argument from practical computability for finite universes. Everyday language sentences are directly or indirectly verifiable. We show that in both cases they are bounded by second–order (...)
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  • Generalized quantifiers.Dag Westerståhl - 2008 - Stanford Encyclopedia of Philosophy.
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