English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

Just wondering what anyone thinks of it.

2007-09-23 16:02:26 · 2 answers · asked by Isaac C 1 in Science & Mathematics Physics

2 answers

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.

2007-09-24 03:09:58 · answer #1 · answered by Dvandom 6 · 1 0

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

2007-09-23 16:21:59 · answer #2 · answered by supastremph 6 · 0 0

fedest.com, questions and answers