Co-predications and the quantificational force of summative predicates

Abstract In the literature on homogeneity, summative predicates have been described as quantifying universally over their argument’s parts in positive sentences, while being negated existentials in negative sentences. In this article, I provide a fuller picture of these predicates’ quantificational force in positive sentences through various ‘co-predications’—sentences in which two summative predicates are predicated of the same individual. In some co-predications, summative predicates are universal; in others, they are weaker, while remaining stronger than existential. In light of this new empirical paradigm, I suggest that summative predicates are lexically existential, but are exhaustified so as to exclude other same-class predicates. In addition to making this proposal, I also show that no other theory of homogeneity can capture the co-predicational paradigm.