 Von Fintel’s position is in line with what has been a working hypothesis for many years in theories of projection. According to these theories, presuppositions are never really cancelled: if a presupposition seems to disappear, it is because it projects to a non-global context. It bears emphasizing that this view is not irrevocably linked to these theories. It’s just that there is no need to assume that there are part-time presupposition triggers (in a sense we expand upon in Section 8 below), because non-global projection can be relied upon to explain why presuppositions sometimes seem to disappear. However, this working hypothesis may have to be reassessed if we want to account for Strawson’s observations, which might be taken to show that presuppositions are cancellable not only in complex sentences but in simple sentences, as well.