Continuity mistake: After racing against Breet, Jake takes off his helmet and his hair is sweaty and messed. A frame later it's dry and perfectly brushed.
Continuity mistake: After Jake signs the contract, the real estate seller lifts up her glasses. A frame later they're back down by the tip of her nose.
Continuity mistake: When Jake arrives at Gekko's empty flat, the position of the papers on the floor changes between shots.
Continuity mistake: When Jules tells Bretton off, he heads toward the door of the panelled office. The door is just open enough for the old man to slip out. Before Eli leaves, the camera cuts to another angle and the door is now wide open.
Answer: Gordon did talk about his son (who was then about 3-years-old) to Bud Fox in Wall Street, but that does not mean he only had one kid. He may have had another child that wasn't mentioned. It's also possible that Gekko's wife was pregnant at the time he was indicted.
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