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Imagine a little provincial train station south of Elea, which has its platform divided into four equal sections, 1, 2, 3, 4. In fact it is so provincial that its sole platform is only as long as the two major trains that pass through this station every morning (they do not stop there any longer). These two trains move in opposite directions, one going south, the Southern Express, the other going north, the Northern Arrow. Both trains consist of one locomotive and three carriages, all of equal length; and, as it happens, each carriage is of the same length as a section of the platform. Since the two trains normally arrive at the same time, they also pass each other in the station. And they travel with the same speed, traversing one section in one second. Accordingly, if we look at the Southern Express and the Northern Arrow at the moment when they are right in the middle of the platform, that is, right before they start passing each other, we can say that it will take the Southern Express two seconds to pass the remaining two sections of the train station. Yet a person sitting in the Northern Arrow looking at the Southern Express will see that his train passes the four sections of the Southern Express during the same two seconds, so that the two trains will be aligned at the end of the two seconds. But since one section was supposed to be passed in one second, it seems that double the time (needed to traverse the 4 sections of the Southern Express, which the Northern Arrow has passed) equals half the time (needed to pass the 2 sections of the train station the Southern Express has passed).1 This scenario is roughly what Zeno employs in his so-called ‘Moving Rows Paradox’,2 a paradox that is handed down to us in Aristotle’s Physics. For the secondary literature, this paradox is somewhat of a stepchild among Zeno’s paradoxes of motion. It is often simply omitted in accounts of the four paradoxes, while the other children of this group have enjoyed widespread popularity among philosophers as paradigms of well set up and fruitful paradoxes. And the text of the manuscripts is often considered to be simply a mess (e.g., Wagner in Aristoteles 1995, 639). Roughly speaking, there have been three main reactions to Ancient Philosophy 35 (2015) ©Mathesis Publications 1

Time is Double the Trouble: Zeno’s Moving Rows