Could the tortoise beat Achilles?

Question

Say a tortoise started walking, and once he got a certain distance ahead, Achilles began running after him to prove he was faster. Archilles could never pass him up, because once Achilles got to where the tortoise was when he began running after him, the tortoise would be some distance ahead, and by the time Achilles got to that distance, the tortoise would have moved even further ahead, ad infinitum. Thus, Achilles could never overtake the tortoise, even though he IS clearly faster. Prove me wrong.

Answer 1

It's not prove ME wrong, it's prove Zeno of Elea wrong, he invented this around 450-460 BC.

Where the catch is, is that by chosing every shorter intervals, you're going for ever smaller moments in time, tending towards a fixed limit, as if time had stopped. So all that this is saying, is that Achilles will not catch up with the tortoise, BEFORE a certain time. Which is self-evident.

But time does not stop, so Achilles will catch up with the tortoise.

Zeno had another nearly identical one, "proving" that an arrow would never reach the target.

Answer 2

It's quite pathetic trying to take credit for the work of a man who lived centuries ago(who was however wrong)
Zeno didn't know about limiting behaviour or calculus, with these tools of analysis (which have been rigorously proven) you (sorry Zeno) is today proven wrong!