  Quantum measurement has long been problematic, for more than one reason. One reason has been that it represents an irreducibly different kind of process from Schrödinger evolution. Another is that it is change which is discontinuous and yet causal: one can make things to happen with measurement, even though one cannot determine the exact outcome. A third reason is nonlocality itself: the nonlocal is ipso facto the discontinuous, and yet the nonlocal is governed by a kind of statistical causality. But now, to settle at least some of these issues, it has been proposed to utilise the theory of inconsistent continuous functions. These arise when a function is classically discontinuous, but we inconsistently identify the limit of the function (assuming it has a limit) with its value at the limit. Such functions, by virtue of being continuous, can be shown to satisfy the LCC. But granted that the formal details exist, what reason is there to apply them? It is precisely that we want to preserve a degree of causality, that is LCC-causality, while yet retaining the essential discontinuity and unpredictability of the process. Thus the slogan “nonlocality is inconsistent locality,” which is intended not to apply to change in general but to discontinuous change which we nonetheless have reason to think of as causal.