Corrected entry: When Sheldon and Barry are rock climbing, Sheldon looks down and shouts in fear. When Barry asks "You all right there Cooper?", Sheldon answers "I feel somewhat like an inverse tangent function approaching an asymptote." An inverse tangent function approaches its asymptote in the horizontal axis, not the vertical. (00:15:55)
Corrected entry: Sheldon states that the "Reinheitsgebot" would have severely limited the availability of mead in 1487. This is wrong for two reasons, the first being that the most commonly known version of this law wasn't introduced until 1516 and secondly this law only defined the price and the ingredients of beer and had therefore nothing to do with other alcoholic beverages like mead. (00:00:20)
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. Then Leonard gets to shut the door easily like there is no extension cord plugged into the outlet and leading out of the apartment. (00:11:20)
Corrected entry: Sheldon is an obsessive compulsive and picky person and he picks a pre-designated seat in all places. When he enters Penny's apartment to talk to her he promptly sits on the couch, which was not where he chose 'his seat' to be in the last episode of the first season. It seems out of character that he would sit there when he has a ready-chosen spot and that his nature is as it is.
Corrected entry: When Leonard returns from talking with Penny, the guys are playing Talisman. Stat counters are randomly placed on the board, when they should always be associated with cards. Then Howard rolls "double sixes" - in Talisman you advance your character by rolling a single die. Raj then acquires a sword without rolling - only the character that rolled would have acquired an item without additional gameplay. (00:13:45)
Corrected entry: Sheldon suggests Rock, Paper, Scissors, Lizard, Spock as an alternative to Rock, Paper, Scissors because "Anecdotal evidence suggests that in the game of rock-paper-scissors, players familiar with each other will tie 75 to 80% of the time due to the limited number of outcomes." As a devout scientist, Sheldon would know that anecdotal evidence is no basis for reaching a conclusion because it is based on individual experience and subject to bias. (00:00:30)
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: Kripke states that there is no guarantee that he will face Leonard, Sheldon, and Raj in the round-robin. In a round-robin, all competitors face each other in turn. It is out of character for Kripke not to be aware of this, and especially for Sheldon to not correct someone making this basic mistake.
Corrected entry: When Sheldon mentions to Leonard, Raj, and Howard that he is moving out, Raj asks Leonard "Did you pronounce the 't' in often?" This statement in context implies that it makes Sheldon angry when someone pronounces the 't' in often. However, Leonard and other characters do this multiple times throughout the series with Sheldon never commenting on it.