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A rock can conceivably erode indefinitely. So long as it can be made into smaller and smaller pieces, perhaps into the element or molecule that composed that rock, it could be considered to have eroded. To truly answer this question, one would have to know precisely how much matter was present and a standard by which to erode the object. Such a standard may be removal of a set amount of matter or a binary fission or said matter.

Long answer short, It could "erode" nearly infinitely, or at least until it reached the smallest division by which it could still be considered the rock in question.

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