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Nope , I dont agree
It will not take an infinite amount of time
If you shorten your step each time , the number of steps tend to "infinite " that's true , but the lenght to "zero" thus also the interval of time to cover each step tends to zero





Keyword: "tends to". Tends to in math means a limit or in this case, as n->inf....
...but how long does it take to get to infinity? If you start counting the infinite 1/2 numbers, whether this is time or distance, it will still take you an infinite amount of time. Don't forget that the nature of Zeno's paradox is the disconnect between mathematical models and physical reality. And that is what I'm saying: that it "tends to" but doesn't ever "acheive" is the basic definition of asymptotically approaching.

Using a series limiting process to "solve" the paradox does nothing of the sort for it assumes you can actually physically carry out that infinite sum... which is exactly what causes the problem to be paradoxical in the first place!!!

Or in the words of Wikipedia:

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Indeed, the problem with the calculus and other series-based solutions is that these kinds of solutions beg the question. They assume that one can finish a limiting process, but this is exactly what Zeno questioned.




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