The best thought experiments throw light into dark corners of the universe and also provide other scientists, philosophers, mathematicians and destitute PhD students a way to kill time while waiting for the bus.

Below is a classic thought experiment, pillaged from my book The Geeks' Guide to World Domination (Be Afraid, Beautiful People). I'll post a new thought experiment each day this week.

**Achilles and the Tortoise: Zeno’s Paradox**

Here’s a classic, pulled straight from the humanities course you took senior year in high school:

Achilles and a tortoise have a race. Achilles, being much the faster, allows the tortoise a 100-yard head start. They start. Of course, because Achilles allowed the turtle to start ahead of him, it takes time for Achilles to reach the tortoise’s starting point. However, the turtle is no longer there—it’s continued ahead and Achilles must again catch up. But, every time Achilles reaches a point the turtle has passed, the turtle has used the time to travel further ahead. Having always to catch up this distance, Achilles will never catch the tortoise!

Right?

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Well being that I am new at this I thought I would try and put my in my 2 cents. First off it would seem that some information is missing, at what speed was the tortoise travelling, and then at what speed was Achilles travelling. If they were travelling at the same speed then no he would never be able to catch him, but if the tortoise was only travelling at 1 mph and Achilles at 10 to 15 then obviously he would overtake the tortoise. Also are we only talking about the starting point as that remains static, as Achilles increases speed he will overtake the tortoise's points at an increasing pace until he reached his maximum speed and eventuallly overtakes the tortoise.