 Here is what a classical four dimensionalist would say about the case of the cup. Suppose the interval from t1 to t2 is the time during which Cup has a handle attached to it, and t2 to t3 the interval during which Cup is without a handle, and, so, putatively identical with Tcup. As before Hcup is the fusion of Tcup and Cup's handle. According to the four dimensionalist, Cup, Tcup and Hcup are all extended in time as well as space. Tcup has a temporal part that extends from t1 to t2 together with a temporal part that extends from t2 to t3. Tcup's t1 to t2 and t2 to t3 temporal parts are distinct from each other as well as being distinct from the temporally longer Tcup. Hcup, that is Tcup plus handle, is a four dimensional object that extends from t1 to t2. Cup itself consists of the following two, among indefinitely many other, temporal parts: Hcup and the t2 to t3 part of Tcup.