  Nicolas (2008) puts forwards a semantics of mass nouns that does justice to this  intuition (see Laycock (2006), Cocchiarella (2009) and McKay (2016) for related proposals). It is cashed out in “non-singular” or “plural” logic. In usual logic frameworks, like predicate logic, constants and variables are singular in the following sense. Under any interpretation, a constant is interpreted as one individual, and under any assignment, a variable is interpreted as one individual. By contrast, non-singular or plural logic possesses singular and non-singular constants and variables. Under any interpretation and variable assignment, a non-singular term (a constant or a variable) may be interpreted as one or more individuals in the domain of interpretation. In particular, a formula consisting of a predicate whose argument is a non-singular constant is true just in case the constant is interpreted as one or more individuals that jointly satisfy the predicate (cf. Linnebo  2017[22]).