Factual error: Tsk. After all his lectures to Robin about the importance of education, Batman should and would know better. On the chalk board, where he's written out Joker's message (dictated to him over the phone), the caped crusader mis-punctuates the phrase "a gargoyle's key" by leaving out the apostrophe. Definitely not a mistake that stickler-for-correctness Batman would make.
Continuity mistake: After Alfred pulls out the key, two pieces of the little blue time-shifting box have apparently fallen to the floor. Joker snatches one of them up while struggling with the butler. But when Batman and Robin leap in for the next shot, the second piece has vanished from its spot on the floor.
Factual error: During the fight to regain his box, the Joker picks up an orange colored deep well drill bit to hit Batman. First, such a device has sufficient weight that one regular man couldn't lift it easily, let alone swing it. Second, the drill bit wouldn't be lying around in the water works guard office.
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