Factual error: The contract Stone and his team force Carlton Wood and Harry Fielding to sign guaranteeing Fowler's widow the royalties from his invention for life is signed under duress and is therefore invalid. It is hard to believe that none of Stone's team don't know this, but it is impossible to believe that Carlton Wood wouldn't.
Factual error: When Roy is electrocuted and falls from the roof, after Karen uses the defibrillator paddles on Roy, she lifts both paddles, looks at the EKG monitor and says "He's converted." How exactly could Karen have known that he's converted? It's impossible for the EKG monitor to show anything at all. Either the defib paddles have to be in contact with Roy's body for the "quick-look" to get a reading, which they weren't, or the ECG electrode discs have to be on Roy's chest connecting him to the EKG monitor, and they weren't. As an aside, just watching Marco having problems attaching the air mask, and quickly glancing up towards the camera frustrated, then giving up is priceless.
Factual error: In a number of episodes people are shown eating and drinking in the laboratories. For instance, in "Miss Willows' Regrets" Nick and Greg are seen eating fried chicken in the lab, and in "Overload" Sara eats a sandwich while watching Grissom experiment with her deli pickle. There are other examples. No reputable laboratory (which this is supposed to be) would allow its staff to eat or drink while in the lab. It is basic scientific protocol to prevent contamination of samples or the person picking up toxins on their food.
Factual error: When Monk visits the prison for the first time, he is searched, passed, and has a mini-panic attack because people have touched him. Sharona steps forward to comfort him, and she puts her arms around him. This is a very serious breach of procedure and it is not possible for the guards to miss it, because Sharona has not been searched. It's a common technique for trying to pass contraband called 'a touch through' - a person with an item to be smuggled into the prison (drugs, usually), passes them on to a person who has been searched and is therefore 'clean'. Monk would be taken back to the guard's station to be searched again. He would not be allowed leniency because the guards happen to know or to like him - visitor ingress and egress is always done under CCTV and the guard would know he was being watched - quite possibly by someone who doesn't know who Monk and Sharona are.
Factual error: Ryan, the laboratory technician, eats his lunch of burger and fries while discussing a murder case with Assistant D.A. Claire Kincaid. Trouble is, they are in his laboratory. No lab technician ever, ever eats or drinks in a laboratory - it is the most basic lab protocol imaginable. He could contaminate his samples in any one of a hundred ways, he inevitably contaminates his gloves or fingers with residue from his meal and he risks poisoning himself with accidental transfer. This is not a character error - lab security is hammered into science students starting with the first day of first year and number one on the list is never, ever eat or drink in your lab.
Factual error: When Michael fills the tank with water (below the stock room), he then strips his clothes off, and slides down a pipe and into the water at the bottom of the tank. Since the water level was way above him, the pipe he slid down and the access to get there would have been flooded also. There was no water in the pipe he slid down, so for that area to be dry, it would have to be above the water line.
Factual error: When House is looking over his whiteboard of symptoms for the swimming patient, the symptom "Intercranial Hemorrhage" is shown on the board. However, this is an error. The correct term is "Intracranial Hemorrhage." Anything inside the head is referred to as "intra" not "inter." This is a common mistake for laypeople, however the highly trained and knowledgeable Dr. House should not have made that error. (00:31:25)
Factual error: A thief has stolen 75 million dollars. He runs out with two large duffel bags. All US bills weigh a single gram. This means that $1,000,000 in $100 bills - the largest bills in circulation - weigh around 10 kilograms, or a little over 22 pounds. $75 million would be 1,650 pounds. No way this could be carried in two duffel bags.
Factual error: The Doctor (and the staff on the station) refer to the idea of a planet being in orbit around a black hole as 'impossible'. It is not. Gravity (and physics in general) works perfectly well outside of the event horizon. For all practical purposes - regarding orbiting around it - the black hole might as well be any other object, as long as it has an equal mass. (00:07:15 - 00:08:30)