 A sorites series for composition is a series of cases running from a case in which composition doesn’t occur to a case in which composition does occur, where adjacent cases are extremely similar in all of the respects that one would ordinarily take to be relevant to whether composition occurs (e.g., the spatial and causal relations among the objects in question). Understood in this way, AV1 should be unobjectionable. If it’s true that the handle and head compose something only once the hammer is assembled, then a moment-by-moment series of cases running from the beginning to the end of the assembly of the hammer would be just such a series. Premise AV2 looks trivial: any such series obviously must contain some transition from composition not occurring to composition occurring, and there either will or won’t be a determinate fact of the matter about where exactly that transition occurs in any given series.