Corrected entry: Five minutes into the show, Sheldon has written down what a dice roll will tell him what to do. He rolls the dice, pauses and looks at the list to see what he has to do for that dice roll. The problem is he has an Eidetic memory and wouldn't take the time to look at the list when he can already see it in his head.
Corrected entry: Sheldon is playing an online game he found. He yells to Leonard "I'm trapped in quicksand, the axe is dragging me down." Leonard then tells him to "Drop axe." Shortly after, Sheldon heads to bed, but he comes back saying "I know how to get the bucket. I can turn the axe around and use the handle to reach it." However, he does not have the axe as he has already dropped it. (00:06:05 - 00:07:45)
Corrected entry: Sheldon steals the 35mm movie canisters and 2 exterior metal cases for "Raiders Of The Lost Ark" so that they supposedly could see it at a later date. We then see Sheldon running with the movie canisters and cases. That would not even be remotely possible as the 2 sets of film weigh approximately 140-160 pounds. Each individual reel (of which there would be a total of 4) has a weight of somewhere between 30 and 35 pounds including the film and individual canister. If you add in the weight of just 2 canisters plus the carrying cases they come in, that's well beyond Sheldon's carrying capacity.
Corrected entry: Sheldon gets Leonard to read the roommate agreement, and it talks about robots. Sheldon is not a robot, he's using a Virtual presence device, therefore Leonard is under no obligation to follow the rules of the roommate agreement. (00:13:10)
Corrected entry: Penny storms into Sheldon and Leonard's apartment to throw her boyfriend's iPod out of their window and yell at her boyfriend who has just left. Raj then finds the iPod on his way in. However, according to the layout of the building with the front door being to the left of the elevator, the front side of their apartment building would be on Penny's side, so she should have thrown it out of her own apartment window. The window through Sheldon and Leonard's apartment would lead to the back.
Corrected entry: Sheldon obviously changes the relationship status on Leonard's Facebook page to 'in a relationship with Stephanie Barnett'. At this point it would have been impossible for Penny to see the status update, because it only shows up after both parties have confirmed it.
Corrected entry: Sheldon's battery runs low during Leonard's date with Leslie so he gets an extension cord but leaves the door open. As he goes down the stairs the extension cord unwinds until he can't go any further and attempts to pull it. When Leonard gets up to shut the door there is no extension cord plugged into the outlet or leading out of the apartment.
Corrected entry: Leonard and Penny are inhaling Sulphur Hexaflouride to make their voices low. The effect can be seen to be fake for two reasons. First, their voices go back to normal instantly and on demand - the gas actually takes a while to clear. Second, when Leonard releases the balloon, it flies away; it should just fall to the floor because Sulphur Hexaflouride is heavier than air.
Corrected entry: When the characters are driving in the car during this episode, it looks to be a black car (when they film in front of the car). When they run out of gas, there is a shot of them pulling over. The problem is, the car is white when pulling over.
Corrected entry: When Penny and Leonard are talking to Sheldon about their date, Sheldon refers to Schrodinger's Cat, stating "The cat in the box is both alive and dead, until you open the box and find out." Yet the precise point of the Schrodinger's Cat example is that the cat cannot be both alive and dead. Schrodinger was arguing against physicists of the time who claimed that certain subatomic particles were special and could be in opposite states at the same time; his argument was that you can't make small systems special because a large and obvious system (e.g., the cat) could always be made to depend on the state of the smaller one, and for a large and obvious system to be in opposite states simultaneously is ridiculous. Now, this is pretty obscure and the misunderstanding of Schrodinger's Cat experiment is widespread, but this is Sheldon we're talking about.
Corrected entry: After Amy stalks off on Sheldon, Penny tells him off because she told him some good news about her paper being published, and he belittled her achievements while bigging up his own, trivial activities. She is very specific about what he did and why Amy reacted. How did she know all of this? She was nowhere near the table at the time and could not possibly have overheard their conversation. She might assume Amy is mad at Sheldon but she can't possibly know why.