On your marks (continued)

OK - tortoise and hare.  What was wrong with Zeno's argument?  Not that easy to get your head round, but Zeno was (deliberately to get the desired effect) dealing in distance (how far the hare travels, how far the tortoise travels) whereas what you need to think about is time.  Assuming - obviously - that the hare is moving faster than the tortoise, it will take him a certain amount of time to get from the start-line to point T, a lesser amount of time to get from T to T1, a lesser amount still to get from T1 to T2 and so on.  So we're dealing with smaller and smaller slices of time, and very quickly we're into nano-seconds and smaller, and for all practical purposes have stopped time - which is why the hare can never catch the tortoise.  It's like the beginning of the old road-runner cartoons - the hare is going at full belt but frozen in time.  A similar one of Zeno's paradoxes is that if you shoot an arrow at me it will never reach me - because first it must travel half the distance between you and me, then it must travel half the remaining distance, then half the remaining distance, then half the remaining distance, and so on and so on ad infinitum.