This chapter focuses on polyadic quantification, which exists when n-tuples (n > 1) of determiner phrases (DPs) yield a single quantifier interpreted as quantifying over n-tuples of individuals. It begins by considering the ordinary standard English sentence No one ever showed me anything, in which the any phrase is commonly assumed to be a negative polarity item (NPI), licensed by the c-commanding no one phrase. It then gives a nonstandard example, No one ever showed me nothing, which represents a distinct phenomenon known as negative concord and is deformed by various NEG deletions. In yet another example, No man loves any woman, in which, under polyadic interpretation, the two quantifiers are not interpreted independently. The chapter also discusses syntactic determiner sharing between the different DPs whose noun phrases denote the sets quantified over, the semantics of determiner sharing, and the realizations of polyadic quantifier structures.
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