Corrected entry: It's revealed that Sheldon rents out a storage unit that contains literally everything that he has ever owned in his lifetime. How is it that nobody else has ever known about this? He doesn't drive, nor does he take public transportation, and we can assume that he must make regular trips there to store any item that he no longer needs/uses. So he would surely need to be driven there by someone, most likely by Leonard, and he obviously couldn't keep it a secret as to why he needs to go there.
Corrected entry: Sheldon is very particular about sitting in his spot and not allowing anyone else into his spot. We learn later on in the series that he has been this way since Leonard moved in. However at the very end of this episode, we see Leonard sat in Sheldon's spot and Sheldon sat in the arm chair. (00:19:00)
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: When Leonard is standing outside the apartment his hair is tucked under the band of the wireless cam he has on his head, but when he is crawling on his hands and knees through the apartment his hair is out from under the band and is hanging in front of his face.
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: In the discussion between Raj and Howard about "shiksa goddess" plus Sheldon's later mispronunciation of the word and Howard's correction, it is never clarified that the term applies only to a Gentile girlfriend of a Jewish man. No other relationship qualifies.
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 claims the X-Men were named so after the X in Charles Xavier's' name. In The X-Men #1 (1963), Professor X states that mutants possess an extra power that humans do not have. Xavier then says "That is why I call my students... X-Men, for EX-tra power!"
Corrected entry: In the scene where Sheldon lists the things that were stolen from the apartment, he mentions several gaming platforms including PlayStation 2 and PlayStation 3. Other than that he lists games including Final Fantasy 1 to 9. You can't play those Final Fantasy games on any of the gaming platforms he lists though (Only some HD remakes are available for the PlayStation 3, but only as downloads, so you won't be able to steal the discs because they don't exist). (00:02:45 - 00:05:15)
Corrected entry: Sheldon refers to the "Hillbilly Peace Prize" in connection with Penny. Sheldon would have corrected anyone else who said such a thing. He would point out that that word "hillbilly" refers to people who dwell in rural, mountainous areas in the US primarily in Appalachia, the Ozarks, and other less well-known mountain chains. Nebraska, where Penny is from, is rural, but being a Great Plains state, has no connection at all to the term, not to mention a lack of mountains.
Corrected entry: While the group are trying to figure out how to play Halo without Howard, Leonard jokingly suggests cutting Raj in half. Raj responds, "Oh sure, cut the foreigner in half. There's a billion more where he came from." But Penny is in the room with them, so there's no way he should be able to talk in front of her, or even if he's been drinking, the fact alcohol helps him isn't realised until the next episode, so the fact he can speak with her there should have surprised everyone, including him.