Talking about being appropriate for science:
I was studying Physics 1, even thinking about being a Physics major, when I saw a fact in my book that had absolutely no proof given. The next page stated a theorem and a proof of this theorem. The problem with the proof was that it used the fact stated in the previous page. In my opinion the proof was complete nonsense. Although I really respect Physicists, I can't believe that they would write a proof like that. This proof even came from a very respected book by Halliday and Resnick. I never considered being a Physics major after that incident.