I was thinking about Zeno's paradox of motion today and decided on an explanation that I'd like to check. As I've heard the paradox stated, one premise is that in order to get from A to B you have to first get to the midway point, call it C. Then there are other premises resulting in the conclusion that motion is impossible. But doesn't the above premise already allow for the possibility of motion, making you agree that motion to C is possible before going on to claim that motion to B is not?
Perhaps there is another way to state the paradox, then?
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