Saturday, 22 April 2017
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