The rabbit and the turtle

[Joacim Andersson]

There where a sunny day when the rabbit met the turtle.
- Let's have a raise, the rabbit said.
- Oh no, the turtle replied. We been through this before everyone knows that you are a lot faster then me.
- Yeah, the rabbid said. But this time a will give you 100 yards head start.
- OK then, the turtle replied.

Well the rabbit and the turtle didn't know this but the rabbit was actually 10 times faster then the turtle. So when the rabbit had ran the 100 yards that the turtle got for a head start the turtle had moved 10 yards.
So the rabbit run those 10 yards and the turtle was still 1 yard in front of the rabbit.
When the rabbit had moved that one yard the turtle is still 1/10 of a yard a head..... and so on.
If you think about it this way the rabbit will NEVER catch up with the turtle.
´
But then again we all know that the rabbit will run pass the turtle so what's wrong with the way I think about the problem?

[Jamagei]

i think that is something like xerox's theory. but he described it as an object falling. if an object falls to half the height each time it would never hit the ground.

that is 1000 cm --> 500cm
500 --> 250
250 --> 125 and so on.

[Joacim Andersson]

Yupp! It's kind of the same thing. We all know that a falling object will hit the ground. But whats wrong with the following description then:

I sat and saw the object fall from 1000 cm down to 500 cm down to 250 cm down to 125 cm down to 625 mm ... So I sat there for ever watching the object fall but it never hit the ground.