Graded genericity

Abstract Any adequate semantics of generic sentences (e.g., “Philosophers evaluate arguments”) must accommodate both what we call the positive data and the negative data . The positive data consists of observations about what felicitous interpretations of generic sentences are available. Conversely, the negative data consists of observations about which interpretations of generic sentences are un available. Nguyen argues that only his pragmatic neo-Gricean account and Sterken’s indexical account can accommodate the positive data. Lee and Nguyen have advanced the debate by arguing that the negative data is a problem for both Nguyen’s and Sterken’s accounts; these two accounts seem to incorrectly predict that generics have felicitous interpretations that they, in fact, fail to have. In this paper, we advance this debate—and, more generally, the task of developing an adequate formal semantics of generics—by arguing that a neglected class of theories are compatible with both the positive data and the negative data. Specifically, we argue that treating the generic operator GEN as a relative gradable expression with a positive, upper- and lower- bounded scale helps accommodate the positive data and the negative data. While developing this view, we show how several previously developed semantics of generics may systematically accommodate both sets of data. One broad contribution of this paper is to show that, while they generate important desiderata, the positive and negative data cannot determine a unique semantics for generics. A further contribution of this paper is to highlight previously unnoted ways in which degree semantics may inform semantic theories of generic meaning.