ZENO'S PARADOX: The Dichotomy

How did you travel to this cache if one must complete and infinite number of tasks before reaching it?

That which is in locomotion must arrive at the half-way stage before it arrives at the goal. — as recounted by Aristotle.

Suppose Homer wishes to walk to the end of a path. Before he can get there, he must get halfway there. Before he can get halfway there, he must get a quarter of the way there. Before traveling a quarter, he must travel one-eighth; before an eighth, one-sixteenth; and so on.

This description requires one to complete an infinite number of tasks, which Zeno maintains is an impossibility. This sequence also presents a second problem in that it contains no first distance to run, for any possible (finite) first distance could be divided in half, and hence would not be first after all. Hence, the trip cannot even begin. The paradoxical conclusion then would be that travel over any finite distance can neither be completed nor begun, and so all motion must be an illusion. An alternative conclusion, proposed by Henri Bergson, is that motion (time and distance) is not actually divisible. This argument is called the Dichotomy because it involves repeatedly splitting a distance into two parts. It contains some of the same elements as the Achilles and the Tortoise paradox, but with a more apparent conclusion of motionlessness.

THE CACHE:

BYOP! My daughter and i put this cache together and she agreed that this was a good spot. We always look on maps and search around until a spot calls out to us. This spot called! Its a bit slippery heading down here, wet or dry. Its not far, but please watch every step. When you cant go any further without busting out some climbing gear, you're in the right spot. The grab itself is a bit precarious. Remember the risks of geocaching! Look into the valley and listen to the sounds of wildlife for a moment while you're here. Medium size peanut butter type container with camo tape.

First To Find: Ormustr, Skotlee, and CacheAngel+