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Formal Approaches to Semantic Microvariation: Adverbial ...

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complex elements consisting of the determiner NO (type < 1,1 >), and some common<br />

noun denotation (a set). For example, for them, personne is semantically the generalized<br />

quantifier NO(HUMAN), and rien is semantically NO(T HING). Therefore, in<br />

a sentence like (8), before the application of Resumption, we have a string of GQs all<br />

containing the determiner NO.<br />

(8) a. Personne a rien donné à personne<br />

No one has nothing given <strong>to</strong> no one<br />

b. NO(HUMAN)(NO(THING)(NO(HUMAN)(GIVE)))<br />

Since we have a string of identical unary quantifiers (NOs), Resumption applies forming<br />

the polyadic quantifier NO ′ .<br />

(9) [NO ′HUMAN,T HING,HUMAN ](GIV E)<br />

(8) is true just in case there are no pairs < x,y,z > in GIV E, where x ∈ HUMAN,y ∈<br />

T HING, and z ∈ HUMAN. In other words, (8) is true just in case GIV E is the empty<br />

relation.<br />

In order <strong>to</strong> account for the double negation reading of personne a rien fait, they<br />

propose that the application of Resumption in Standard French is optional, and that<br />

“double negation readings of two concord items are analyzed in terms of iteration of<br />

two anti-additive quantifiers” de Swart & Sag (2002: 385).<br />

I propose that de Swart & Sag’s polyadic quantification analysis of French N-words<br />

can be extended <strong>to</strong> account for the distribution of bare de phrases under negation. The<br />

main argument for this proposal comes from the fact in (10).<br />

(10) The negative quantifiers that license de phrases are the same quantifiers that<br />

participate in negative concord.<br />

96

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