- #101

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Zeno makes it ambiguous as to which set of points we are supposed to be using in order to view his paradox.Sure, can you clarify what you mean by considering the set of all points from start to finish?

Note that in the approach discussed, we are merely ruling out the fact that Achilles gets to the set of points where {he catches up with the turtle} union

{he is ahead of the turtle}, and not excluding those points arbitrarily from discussion.

There is nothing physically wrong with watching things from the turtle's perspective.

His paradox is based on this ambiguity, IMHO. He sets up the story focusing on the points behind the turtle (infinite bifurcation), but he then states the problem in a context that supposed includes all the points up to and beyond the turtle. He leaves it ambiguous, and thus creates a confusion, and not a true paradox. This is why I say it is a trick question.

Finding a "right" approach is just a possible part of the deconstruction to understand the problem.Note that we are not trying to get a better or the "right" approach here, but rather to find flaws in an argument set.