Ancient Greek Philosophy, 2nd Edition

6

ZENO OF ELEA

A25 There are four arguments of Zeno’s about motion which present difficulties in their solution—the first concerns the impossibility of motion, because at first it is necessary to reach the midpoint before the end, we have discussed this in what precedes. The second is called the Achilles. According to this the slowest will never be overtaken by the fastest; for it is necessary for the pursuer to first come to where the pursued has taken off, so that the slower is always some way ahead. This is the same argument as in the dichotomy; it differs, in that the additional magnitude is not divided into halves. And so, according to this argument it turns out that the slower will not be overtaken; this comes to the same as the dichotomy….so ...