Erlewine, Michael Yoshitaka, to appear.
“On the role of causation in sufficiency and excess.”
Generative Perspectives on Degrees: The Semantics and Morphosyntax of Scalarity.
This paper concerns different conceptualizations for degree constructions of sufficiency and excess, such as with enough and too in English. According to many prior works, a sufficiency conveys that a measured degree meets or exceeds a minimum degree for some purpose (meeting-the-minimum), whereas an excessive conveys that a measured degree strictly exceeds a maximum degree for some purpose (exceeding-the-maximum). I will instead advocate for a causation-based conceptualization for sufficiency and excess, building on Schwarzschild 2008 and Grano 2022. Together with the monotonicity property of gradable predicates, I show that the causation-based descriptions can derive much of their respective truth conditions without stipulating the connection between sufficiency and meeting-the-minimum and between excess and exceeding-the-maximum as in previous accounts. I then present the facts from certain edge cases where the proposals diverge in their predictions; these prove to be problematic for the classic descriptions for these constructions, but are unproblematic for the causation-based formulation. Finally, I
also discuss the relevance of my proposal to cross-linguistic variation in the expression of sufficiency and excess.