## Welcome to BrainDen.com - Brain Teasers Forum

 Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account. As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends. Of course, you can also enjoy our collection of amazing optical illusions and cool math games. If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top. If you have a website, we would appreciate a little link to BrainDen. Thanks and enjoy the Den :-)
Guest Message by DevFuse

# Xenon Turtle and Achilles

2 replies to this topic

### #1 moNAH

moNAH

Newbie

• Members
• 6 posts

Posted 09 August 2007 - 01:48 PM

allright guys and girls, maybe it's already on this forum somewhere?
this one is copyright by Zenon (or Zeno) roughly 400 B.C.
I use description from http://www.saliu.com/aporia.html since it's one of the shortest explanations.

Zenon made an extremely attractive art to prove that motion was not possible. He came up with a riddle that used Achilles as the main character. We know that the legendary hero was also known as the Quick-Foot Achilles, or Speedy Achilles. Really? Zeno questioned the speed of Achilles. I, Zeno, will prove that your speedy Achilles will never beat a tortoise in a running race!

Okay, your Achilles is faster than a tortoise, admitted Zeno. Therefore we must necessarily give the tortoise a long start. But here is the kicker, puzzled Zeno his audience. Achilles does reach the starting point of the tortoise. But when Achilles reaches that space, the tortoise would reach a farther position in space. Let's name it position 2. When Achilles reaches position 2, the tortoise would have reached a new position; let's name it position 3. When Achilles reaches position 3, the tortoise would have reached a new position; let's name it position 4. When Achilles reaches position 4, the tortoise would have reached a new position; let's name it position 5. And so on ad infinitum. Achilles can never pass the tortoiseâ€¦

Here's the trick for you fellas. Zeno's riddle is as old as time, and I know you'll be discussing it here.
But the real question is, "What did Zeno prove?"

Have fun =)

oh, almost forgot. I've seen tons of explanations around the net, involving all science we know.
you do understand, though, that if question is easily comprehended even by small kids, the true answer is just as simple?
• 0

### #2 savagegamer90

savagegamer90

Junior Member

• Members
• 77 posts

Posted 09 August 2007 - 06:00 PM

Zeno proved that if you give the turtle a head start, even if it's only a nanosecond, achillies could never beat the turtle in any distance race. Achillies could never pass the turtle, because by the time that achillies would catch up to where the turtle was, the turtle would have moved on.
• 0

### #3 moNAH

moNAH

Newbie

• Members
• 6 posts

Posted 10 August 2007 - 01:15 PM

well in fact he proved that logics and common sense do not fit together
that math, science and stuff do not relate to real world =)
• 0

#### 0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users