The analysis to be proposed has two notable consequences. First, it indicates that while presupposition may play a role in accounting for the so-called definiteness restriction associated with the construction, presupposition cannot account for all of the definiteness restriction facts-in fact, on the view defended here, the definiteness restriction facts cannot be explained by a single generalization. Second, it supports the view that the notions weak and strong should be redefined as suggested in Ladusaw 1994, where “weak” is essentially equated with “nonparticular-denoting”.