The Dichotomy: There is no motion, because that which is moved must arrive at the middle before it arrives at the end, and so on ad infinitum.
The Achilles: The slower will never be overtaken by the quicker, for that which is pursuing must first reach the point from which that which is fleeing started, so that the slower must always be some distance ahead.
The Arrow: If everything is either at rest or moving when it occupies a space equal to itself, while the object moved is always in the instant, a moving arrow is unmoved.
The Stadium: Consider two rows of bodies, each composed of an equal number of bodies of equal size. They pass each other as they travel with equal velocity in opposite directions. Thus, half a time is equal to the whole time.
And the solution is ...
Series and Convergence
Deconstructing Infinity: An Analysis of Zeno's Paradox
Friday, January 14, 2005
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1 comment:
Well done on a nice blog More l er. I was searching for information on astronomy for beginners and came across your post Zeno's Paradox of Motion - not quite what I was looking for related to astronomy for beginners but very interesting all the same!
Well, it's a new year - in fact it's almost the Chinese New Year. I'm still putting together astronomy lesson plans for the first and second semesters. This year the budget allows us to purchase a new telescope for the science group. That's great so we're still juggling the numbers how to get best bang for the buck! Not the 'big bang' you understand LOL. I'm coming down on the side of the Meade LX200GPS 12" Schmidt-Cassegrain. Let's wait and see.
If you do have a moment, please take a look at my new site on: Astronomy for Kids .
A happy new year to everyone!
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