The Cooper-Hofstadter Polarization - S1-E9
Revealing mistake: When Leonard and Sheldon are fighting near the end they bump into the wall, which visibly shakes. (00:15:40)
The Big Bang Theory (2007)
1 revealing mistake in The Cooper-Hofstadter Polarization
Starring: Kaley Cuoco, Johnny Galecki, Melissa Rauch, Simon Helberg, Jim Parsons, Kunal Nayyar
Genres: Comedy
The Pork Chop Indeterminacy - S1-E15
Character mistake: In his conversation with Missy Sheldon makes it clear that his superior intelligence is a result of a random, mutated gene. Since Missy isn't similarly intelligent she obviously isn't carrying this mutated gene (which would be a billion to one shot anyway) so her offspring wouldn't inherit it. Sheldon would know this - his offspring would carry the mutated gene for superior intelligence, Missy's would not. Anyone knowing enough about genetics to use the term 'randomly mutated gene' understands enough to know that the mutated gene would only be expressed in a direct line from the carrier - Sheldon. Also bear in mind he has a model of the DNA molecule in his living room - it is obviously an interest.
The Staircase Implementation - S3-E22
Leonard: Oh, screw the roommate agreement!
Sheldon: No, you don't screw the roommate agreement! The roommate agreement screws you!
The Holographic Excitation - S6-E5
Trivia: In this episode, Sheldon and Amy are trying to decide on couples' themed Halloween costumes. Sheldon is standing in front of the dry erase board. There are 2 columns written on the board. One named "Couples I Like" and the other "Couples You Like." Under the "Couples You Like" column, one of the couples is Blossom and Joey. Blossom is the name of the television character played by Mayim Bialik in the 90s and Joey was one of her brothers.
The Euclid Alternative - S2-E5
Question: Though it comes up in other episodes as well, this one is focused on Sheldon needing a ride everywhere he goes because he can't drive, not to mention his not being welcome on the bus. Of course, this story element would be nonexistent if there was a simple answer, but it does beg the question: Does Pasadena not have taxicabs?
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Suggested correction: Genes can be dormant. Which allows them to skip generations. Therefor Missy's children could actually get the "mutated" gene. This is especially true since Sheldon and Missy are twins. Also, since the episode is about who out of Leonard, Howard or Raj, Sheldon would allow to "mate" with his sister, there is the added "insurance" of getting any smart genes from any of the 3 Lothario's mentioned above.
If you are going to try to argue with a geneticist about genetics, please use the correct terms. Sheldon is not referring to a recessive gene - there is no such thing as a dormant gene - he is speaking of a randomly mutated gene. Those are the words he used. If he had inherited a homozygous recessive karotype - one recessive gene from each of his parents - then somewhere in his family tree there would similarly gifted people, in which case he would use the correct term - a recessive gene. If Missy is a heterozygotic dominant karotype possessing the recessive gene for super-genius and the dominant for ordinary intelligence then mating her with Howard, Raj or Leonard would be a waste of time as their dominant genius gene would prevent the recessive super-genius gene from being expressed in the phenotype of the resulting child. The child would be highly intelligent but not on Sheldon's standards. It doesn't matter if Sheldon does not know any of this as he refers several times to a randomly mutated gene, not a recessive one. Missy does not carry the super-genius gene. The posting is correct.
Sheldon is prone to magical thinking when necessary to preserve his obsessive need to control his environment. He may have simply ignored the flaw in his reasoning, as even the most intelligent humans do when venturing outside their ares of expertise. He may be interested in the science of genetics, but his Ph.D. in physics doesn't qualify him as an expert in that field.