 Perhaps (Davey, 2007) he had the following in mind instead (while Zeno is smarter according to this reading, it doesn’t quite fit Aristotle’s words so well): suppose the \(A\)s, \(B\)s and \(C\)s are of the smallest spatial extent, ‘point-sized’, where ‘points’ are of zero size if space is continuous, or finite if space is ‘atomic’. Suppose further that there are no spaces between the \(A\)s, or between the \(B\)s, or between the \(C\)s. During the motion above the leading \(B\) passes all of the \(C\)s, and half of the \(A\)s, so half as many \(A\)s as \(C\)s. Now, as a point moves continuously along a line with no gaps, there is a 1:1 correspondence between the instants of time and the points on the line—to each instant a point, and to each point an instant. Therefore, the number of ‘\(A\)-instants’ of time the leading \(B\) takes to pass the \(A\)s is half the number of ‘\(C\)-instants’ takes to pass the \(C\)s—even though these processes take the same amount of time. If we then, crucially, assume that half the instants means half the time, we conclude that half the time equals the whole time, a contradiction. 