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Dosen't matters what you choose, given that for sisyphus to reach his destination first he have to reach half, then half of it, then half again and again making movement impossible.
Isn't there a version of this with like 5 intersecting thought experiments?
Won't the boulder roll back to the intersection anyway?
He can't go to the hotel because infinite cannot divided by zero, which is his boulder
The real question is.... will it take him more than a day to reach either one?