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Not a paradox per se, but it's pretty close, Gödel's First Incompleteness Theorem (https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems#First_incompleteness_theorem)
bootstrap paradox
if you receive a watch, then travel back in time to give that watch to the person who gave you that watch, where did the watch come from?
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