Zeno's Theory of the Dividing half?

Question

Zeno a Pre-Socratic philosopher

for example:
said that an arrow shot at a target never will reach the target because it has to first transverse half the distance to the target

and following his logic you always have half the distance to transverse

since you can draw infinite lines of halves between two points, it is imposible to ever reach the target????

now we all know a arrow can hit a target but how do you rationalize his theory and/or disprove it in a systematic manor

I cant come up with an explination as of yet.. Energy?

**************************************************************************************************ya it's a paradox.. but I'm playing with this idea.. not that it is actually something I'm buying into*********************************************************************************************************************

Answer 1

These are well-known and well-studied.

I am sure I couldn't come close to explaining solutions as well as some of the pages out there, so I'll just refer you to Wikipedia.

http://en.wikipedia.org/wiki/Zeno's_paradoxes

Answer 2

this is known as Zeno's paradox. It only holds when the motion is discrete & is always 1/2 the distance to the target. Otherwise it is just playing word games. If someone asks you disprove it, just throw something & hit a target. This is known in logic as refutation by counter example.

Answer 3

The time it takes each half of the remaining distance to go is also being halved, so that at the end, it takes no time at all to make that last interval. What's the problem? You do agree taking less time to do something speeds things up so that you can eventually get to where you want to go?