Scalar predicates and negation: Punctual semantics and interval interpretations
Abstract
Many linguists and philosophers hold the view that scalar lexical items are
downward bounded semantically and upward bounded only pragmatically via
implicatures a Ia Grice. This approach, called by Anscombre and Ducrot (1983) the
minimalist view, has been controversial for some twenty years. In this paper, I will
examine the minimalist argumentation and will show it to be ill-founded in the case
of nuimber names, both empirically and logically. I will then propose another account
of their scalar behavior which will preserve the results that motivated the minimalist
view, while ascribing a more adequate lexical meaning to scalar predicates in
general.