The book seeks to resolve the so-called ‘problem of mass nouns’ — a problem which cannot be resolved on the basis of a conventional system of logic. It is not, for instance, possible to explicate assertions of the existence of air, oil, or water through the use of quantifiers and variables which take objectual values. The difficulty is attributable to the semantically distinctive status of non-count nouns — nouns which, although not plural, are nonetheless akin to plural nouns in being semantically non-singular. Such are the semantics of a non-singular noun, that there can be no such single th ... More

The book seeks to resolve the so-called ‘problem of mass nouns’ — a problem which cannot be resolved on the basis of a conventional system of logic. It is not, for instance, possible to explicate assertions of the existence of air, oil, or water through the use of quantifiers and variables which take objectual values. The difficulty is attributable to the semantically distinctive status of non-count nouns — nouns which, although not plural, are nonetheless akin to plural nouns in being semantically non-singular. Such are the semantics of a non-singular noun, that there can be no such single thing or object as the thing of which the noun is true. However, standard approaches to understanding non-singular nouns tend to be reductive, construing them as singular expressions — expressions which, in the case of non-count nouns, are true of ‘parcels’ or ‘quantities’ of stuff, and in the case of plural nouns, are true of ‘plural entities’ or ‘sets’. It is argued that both approaches are equally misguided, that there are no distinctive objects in the extensions of non-singular nouns. With plural nouns, their extensions are identical with those of the corresponding singular expressions. With non-count nouns, because they are not plural, there can be no corresponding singular expressions. In consequence, there are no objects in the extensions of non-count nouns at all. In short, there are no such things as instances of stuff: the world of space and time contains not merely large numbers of discrete concrete things or individuals of diverse kinds, but also large amounts of sheer undifferentiated concrete stuff. Metaphysically, non-singular reference in general is an arbitrary modality of reference, ungrounded in the realities to which it is non-ideally or intransparently correlated.