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....