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Tell me your favorite paradoxes! I'll go first.
Ship of Theseus: In this paradox, you are a sailor, and you are on a ship going across the sea to some place. On your journey, your ship falls apart, and you happened to bring all of the identical parts to replace the ship. As parts of your ship fall off / break, you replace the part with an identical part. By the end of the journey, you've replace every single part of the ship with identical parts. So.. is the ship you ended on, the same ship that you started on..? Let's add another layer to it. You go back into the ocean, retrace every single part that fell off of your ship, and rebuild the ship exactly the same as the 'original' ship. Is the ship you rebuilt with the fallen parts the original ship, or is it the one that you completely repaired. Possibly neither? There's no correct answer, because it's a paradox. :D