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Formal Approaches to Semantic Microvariation: Adverbial ...

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(40) J’ai beaucoup mangé de pommes<br />

I have a lot eaten of apples<br />

‘I ate a lot of apples’<br />

Of course, both dialects contain an determiner-like adnominal use of beaucoup,<br />

one that selects for a de phrase complement, and quantifies over individuals. This<br />

determiner maps properties on<strong>to</strong> generalized quantifiers.<br />

(41) Standard/Québec French:<br />

beaucoup Adn = the function BCP DET , defined as follows:<br />

Let s ∈ N such that 0 < s : | {b :< a 1 ,...,a n ,b >∈<br />

R} ∩ P |> s} □<br />

This is the beaucoup found in argument positions:<br />

(42) a. Beaucoup d’enfants sont venus<br />

a lot of children were come<br />

‘A lot of children came’<br />

b. J’ai vu beaucoup d’enfants<br />

I have seen a lot of children<br />

‘I saw a lot of children’<br />

The proposals about beaucoup that I have made can be straightforwardly generalized<br />

<strong>to</strong> the other degree quantifiers. For example, I propose that peu Adv ‘little’ is defined in<br />

the following ways in SF and QF.<br />

(43) Standard French:<br />

peu Adv = the function PEU SF , defined as follows:<br />

Let s,t ∈ N such that 0 < s,t

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