How Does Zeno's Paradox Challenge Classical Mechanics?

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Please take a look on this paradox.

http://knol.google.com/k/alex-belov/paradox-in-classical-mechanic/1xmqm1l0s4ys/3#

What do you think?
 
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There was another thread on the forum recently by the author of that nonsense. It is not a paradox, but a 'miscalculation' to put it kindly.

The author does not write down a Hamiltonian that describes the system. If we do this, instead of following the confusing pseudo-analysis in the link above, we see that the obsfucated contraption goes nowhere.