How is this theory incorrect other than the turtle explanation?
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Zenos paradox starts out from the assumption that you can divide space forever. In reality, I think that quantum mechanics tells us it isn't. Look up planck's length it's the smallest meaningful length that exists. To oversimplify it : if you keep dividing space, you eventually would bump up into planck's length and couldn't divide any further, that's why the paradox is incorrect.
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Zeno talks about dividing distances, but not about dividing time. He fails to realize that when distances are cut in half, so too are travel times. Eventually distances will be infinitesimal, but traversed in only instants. The overall speed of the individual (average) doesnt change.