Watch the video :

Http://www.youtube.com/watch?v=jd6MWUl9Rmc

Our text discusses a famous paradox from ancient Greece, the so-called sorites paradox. The Greeks (as well as many other ancients) were interested in paradoxes because they seemed to present unresolvable logical or mathematical difficulties but which nonetheless (so they believed) must admit of solution. The paradox that you'll explore in this Forum, while not a sorites paradox, nonetheless exhibits the features that so delighted the ancients. Zeno was among the most famous of the Greek thinkers who pondered paradoxes. Take a look at the video (above) which is about the paradox of Achilles and the Tortoise.
Why is this considered to be a paradox? Explain your reasoning by reference to the definition provided in our text. What is the reason that Achilles can't just run faster and pass the tortoise? Reconstruct the argument that the paradox contains by using standard reconstruction format (P1, P2, P3, etc., C). Do you think paradoxes are useful or useless? Give your reasons.