When I was 17, high school, and really enjoying maths a maths professor came to our school to speak to a few of us about continuing maths at University. She really annoyed me. She asked what about maths we liked and a friend and I answered that it was the certainty - that things were right or wrong and you could most often tell plainly which they were.

She of course responded that we couldn't be more wrong.

Annoyed the hell out of me until I came across Godel and began to understand maths from a different perspective.

Wish I'd had chance to study under that professor.