Chapter 3 A Matter of Taste
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The standard Horn Scale analysis of scalar implicatures (Horn 1972) has faced several challenges (Krifka 1999, Chierchia 2004), including cases with comparatives (e.g., Paul read more than three books does not implicate Paul didn’t read more than four books) and disjunctions (e.g., Paul read The New York Times or some of the books does not implicate Paul did not read The New York Times). This paper proposes an analysis that avoids these problems by scoping an exhaustive operator below the existential closure assumed in the Alternative Semantics system of Kratzer and Shimoyama (2002). This effectively analyzes the cases above as meaning There’s a group of more than three books such that Paul only read those books and Either Paul only read The New York Times, or there’s a subset of the books such that Paul only read those books.