Anyone have any ideas on Zeno's paradox of motion?

Question

Just wondering what anyone thinks of it.

Answer 1

Most of Zeno's paradoxes rest on the intuitive but incorrect idea that an infinite series always diverges. In other words, add up an infinite number of pieces and you get an infinite result. However, many infinite serieses converge on finite results.

They also tend to conflate "steps" with "passage of time". Achilles never catches the tortoise in Zeno's paradox because it takes an infinite number of steps to do so (Achilles reaches where tortoise was, but tortoise has moved, so Achilles goes to where it was now, etc). But since each step takes correspondingly less time, the infinite series takes a finite time to accomplish.

Zeno wouldn't have liked integral calculus either.

Answer 2

I just can't seem to get anywhere with it . . .