achilles and the tortoise

Diogenes the Cynic said nothing upon hearing Zeno's arguments, but stood up and walked

The physical world requires a resolution amount used to distinguish distance while mathematics can use any resolution.

- At every instant of time there is no motion occurring. If everything is motionless at every instant, and time is entirely composed of instants, then motion is impossible.

- Instants are not parts of time, for time is not made up of instants any more than a magnitude is made of points, as we have already proved. Hence it does not follow that a thing is not in motion in a given time, just because it is not in motion in any instant of that time

Saturday, 23 July 2011
hypothetical desert
HOLDEN   You're in a desert, walking along in the sand
       when....

LEON     Is this the test now ?                              

HOLDEN   Yes.   You're in a desert, walking along in
       the sand when all of a sudden
       you lookdown and see a.....                               

LEON     What one ?   
       It was a timid interruption, hardly audible.

HOLDEN   What ?                               

LEON     What desert ?                              

HOLDEN   Doesn't make any difference what desert..
       it's completely hypothetical.

LEON     But how come I'd be there?                             

HOLDEN   Maybe you're fed up, maybe you want to be
       by yourself.. who knows.
       So you look down and see a tortoise.
       It's crawling toward you....