Correct me if I'm wrong, but from what I understand, this is how the grandfather paradox works: Lets say I were to go back in time and try to stop President Kennedy's assination, and succeed in doing so. Well, by succeeding, I now no longer have a purpose of going back in time in the first place.
Therefore, when I return to the present (2008), I will NOT return to the alternate 2008, that I had hoped to return to, but instead, I would return to the same 2008, that I left.
Is that how it works?
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