For grammarians, acquiring some understanding of ‘finiteness’ as a linguistic concept has been a longstanding problem, even if frequently unacknowledged as such. It seems to me that the problem derives, in particular, from the fact that arriving at a universally applicable characterization of the syntactic status of finiteness is difficult to reconcile with how it has been claimed to be manifested morphosyntactically in different languages. In what follows I explore the consequences for our understanding of the role of morphological and periphrastic subjunctives in English of drawing a distinction between finiteness as a syntactic property and the possible signalling of this property in the morphology. The discussion presents no novel data or novel claims concerning the interpretation of the sentences cited (at least, not intentionally); it merely confronts the familiar with the characterization of finiteness proposed here. And I have also tried, in the interests of accessibility and generality of application, to minimize appeal to parochial theoretical assumptions beyond that involving finiteness and the recognition of grammatical periphrasis, i.e. analytic expression of a category otherwise signalled morphologically, and of the traditional concept of reaction.