Revealing mistake: When the stripper appears from the changing room during the cabaret scene, the stripper music is heard, but if you look carefully the tape recorder which is supposed to be playing the music is not actually moving.
Revealing mistake: When the stripper film begins during Professor Crump's lecture, we see a man lighting his pipe. If you watch carefully, the lighted match does not make contact with his fingers, yet he still manages to burn himself in the process.
Revealing mistake: When Fred and Ernie are checking for signs of life on Professor Crump whilst he is lying in bed unconscious, the 'unconscious' Crump blinks and moves his eyes several times.