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Re: Zeno's Rule
So, in a footrace Achilles can't ever catch up to a turtle if the turtle has a 1-foot lead?
Ah,so...
It'll never happen.
Before you can get from your own planet to another, you have to get to the point halfway between the two planets.
But before you can get there, you have to get to the point halfway to that point, or a quarter of the way between your own planet and the destination planet.
But before you can get to that 1/4 point, you have to get halfway to it.
And so on, infinitely. Since you must pass through an infinite number of “halfway points”, in a finite amount of time, you will never reach your destination.
So, in a footrace Achilles can't ever catch up to a turtle if the turtle has a 1-foot lead?
Ah,so...