Continuity mistake: As Logan walks up the steps with Jessica, the cut in his shirt and his hair part are on the right side, whereas they are supposed to be on the left.
Continuity mistake: In the scene at the end with the old man, his fire is burning well but suddenly is almost burned out when the people come down to see him.
Plot hole: In one of the late scenes Logan is interrogated by the mainframe computer, and is guarded by two other sandmen. No one in the city is allowed to be over thirty years of age, yet the guards are at least in their late 30s or early 40s.
Suggested correction: How do we know how old they are? Just because someone may look like they're in their 40s doesn't mean they are. I have several friends and coworkers who look older than their actual age.
I also thought the guards looked old. Yes, maybe they were 29 but since they had a minimal role, it wouldn't have been difficult to go with actors that actually looked like they were in their 20s.
Continuity mistake: In the ice cave, Logan and Jessica take off their clothes and put on animal skins. When they run out of the storage chamber where they saw the frozen cadavers, they drop the skins and are fully clothed.
Suggested correction: Before that scene, they are shown getting dressed. If you saw this on television, they may have cut the shot because of some brief nudity.
Continuity mistake: When the surgeon dies, Francis grabs Logan's arm but a shot later he is grabbing his chest.
Continuity mistake: The cut on the surgeon's shirt is suddenly reversed a shot later.
Continuity mistake: When the surgeon's face is cut he turns his head to the right. A shot later he faces the left side.
Revealing mistake: At the surgeon, the laser cuts the stretcher (a superimposed red light), but when the lasers go berserk they don't cut anything, revealing they're just lights.
Continuity mistake: Francis walks towards an identity detector machine where he drops stuffs inside and places his hand. The stuff disappears and reappears between shots.
Continuity mistake: Logan and Francis meet a bleeding man by the steps and Logan walks ahead. A shot later he is next to Francis.
Revealing mistake: When the film starts Logan and Francis chase a runner who stands by a column, the squibs used to allow for the sparks and FX are visible.
Visible crew/equipment: Right after the Carousel segment, a red-clad man is running because his life-gauge says he's 30. He runs through a semi-open corridor that has dark tan bricks. A moment after he passes through the area, and turns back to see Logan aiming at him you can see a spark emitting device has been colored the same as the bricks, but noticeable. It is a special effect to complete the scene.