While Sheldon is stuck on the wall, the shot shows Kripke standing in a position where his left leg is bent and his right leg is extended downward onto a hold. When the camera shot changes, he raises his right leg up until both are straight and at the same level. The camera shot returns to the original angle, and his legs return to their original positions.
When Sheldon talks to Rebecca, the way he holds his book changes between shots.
Sheldon refers to "little hominid children" as though that would not include modern human children. 'Hominids', however, include modern humans.
In the bookstore set, a sign on a shelf incorrectly spells "Newbery" Award as "Newberry" Award.
When Raj says that tapioca is the best pudding, Sheldon responds that this was "axiomatically" incorrect because the best pudding is chocolate pudding. However, this would not be axiomatic since it is a conclusion based on an argument with the premise being that chocolate pudding is the best.
Sheldon refers to an inverse tangents function approaching an asymptote as "stuck". A function approaching an asymptote does not get stuck - even metaphorically.