Zeno's Paradox

Perhaps you've heard of Zeno's Paradox: If a an arrow must travel halfway to its target before it reaches it, it will never reach the target. At the halfway point, it has to go halfway again, and so on to infinity. Care to discuss it?

aaa no. My brain just hurts thinking about it!! There has to be a end to it, don't you think?

Ben B. had an interesting mathematical refutation of the paradox, but I don't remember the exact logic. Jesse, do you remember what it was?

Sorry, but no; I never took part in the Philosophy Guild. It was far more brainwork than I was willing to do over dinner.

As I understand it, Mr. Zeno didn't mean for his paradox to be challenged, but proposed it as a challenge to how we approach philosophy. Philosophically the paradox works, but empirically it is obviously false.
But for what it's worth, it's very encouraging for Chorale members, because it must therefore be impossible to ever be on pitch.