  Suppose the pointer starts at value I. As before we can represent the combination of this initial position and all possible final positions by the line I. Under the influence of the pointer coming out of the time machine the pointer value will develop to a value that equals half the value of the final value that it encountered. We can represent this development as the continuous deformation of line I into line L, which is indicated by the arrows in Figure 2. This development is fully continuous. Points &lt;x,y&gt; on line I represent the initial position x=I of the (young) pointer, and the position y of the older pointer as it emerges from the time machine. Points &lt;x,y&gt; on line L represent the position x that the younger pointer should develop into, given that it encountered the older pointer emerging from the time machine set at position y. Since the pointer is designed to develop to half the value of the pointer that it encounters, the line L corresponds to x=1/2y. We have consistency if there is some point such that it develops into that point, if it encounters that point. Thus, we have consistency if there is some point &lt;x,y&gt; on line L such that x=y. However, there is no such point: lines L and C do not intersect. Thus there is no consistent solution, despite the fact that the dynamics is fully continuous.