Revealing mistake: The firefighters, apparently the fastest men in the universe, appear no more than 10 seconds after the fire starts.
Stupidity: When Eric, dressed in drag, tearfully sits down next to Topanga, she asks him if they know each other because she doesn't realise it is him. Topanga's known Eric practically her entire life, and she is one of the smarter characters on the show. Given that Mr. Feeny instantly recognized that Eric and Jack were dressed up as women, Topanga should have recognized it immediately as well. (00:10:40)
Suggested correction: This is a comedy show and this scene is played for laughs. A character not recognizing another character in drag when it is obvious to the audience has been a joke for centuries. Also, on a realistic level, recognizing faces has nothing to do with intelligence.
There's a difference between not recognizing someone you might barely know and being fooled by an obvious disguise worn by someone you've known for 20 years. I fully acknowledge that this scene is played for laughs and that this is a common trope used in movies and television, but the fact that the show went out of its way to show that Mr. Feeny instantly saw through their disguises demonstrates that show itself acknowledged how ridiculous his disguise was, and it was foolish on Topanga's part for not seeing through it.
