Continuity: Before Alfred knocks down the man outside the burning mansion, there are several shots from the inside of the building. In one of them, there's a burning table with a globe on. When Alfred and Bruce escape, they enter the room with the piano, and the same table is seen again. There are lots of flames around the table, but the table itself is no longer on fire.
As Ducard is sliding down the ice toward the cliff, he's on his front, sliding feet first. Bruce is also on his stomach, but sliding head first. Then, just before Ducard goes over the edge, Bruce is instantly on his back, sliding sideways, right side toward Ducard, just in time to take Ducard's hand, saving him. See more...
The Scarecrow's plot to contaminate Gotham's water supply from under Arkham Asylum has appeared several times in Batman fiction, first appearing in the comics and becoming the focus of the Batman: The Animated Series episode 'Dreams In Darkness'. After the film was released it would also be referenced in the Batman: Arkham Asylum videogame. See more...
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This is a "rebooting" of the Batman movie franchise, so any mistakes relating to discontinuity between this movie and any of the earlier movies aren't valid.
Continuity: When the Tumbler leaps toward the steeply-angled rooftop (the shingled roof with dormers), beyond it is a tall office building on the opposite side of a highway that is running perpendicular to the Tumbler's direction of travel (and parallel to the face of the office building). In order to leap onto this highway, the Tumbler will need to make a hard left or right turn, as going straight will take it across the highway into the face of the office building. But as the Tumbler reaches the end of the angled roof, suddenly the office building has moved far to the left, and the highway is now nearly in line with the Tumbler's direction, running into the distance next to the office building, and passes along the left side of the shingled roof, making it easy for the Tumbler to leap easily onto the roadway.
The Scarecrow's plot to contaminate Gotham's water supply from under Arkham Asylum has appeared several times in Batman fiction, first appearing in the comics and becoming the focus of the Batman: The Animated Series episode 'Dreams In Darkness'. After the film was released it would also be referenced in the Batman: Arkham Asylum videogame.
Batman: It's not who I am underneath but what I do that defines me.
On Disc 2 of the Special Edition, there are several easter eggs which are very easy to find. They can be accessed by highlighting the small areas of the "comic book", which include a crack in the wall, Batman's reflection in a puddle and the Scarecrow's eyes. The unlocked features include a stunt rehearsal reel and CG demo.