Whether life imitates art or art imitates life, one thing is evident: some of us fail to learn from our costly mistakes.
While Finch's genius and intelligence are unquestionable, he has failed to learn from a costly mistake he made earlier. His ego got in the way of sound reasoning and it resulted in the death of his best friend, Nathan Ingram.
One would have thought that he had learnt from that mistake. Alas, his ego prevented him from acknowledging the obvious truth. Had he listened to Root's logical suggestion, Detective Carter would still be with us today.
On the other hand, it's only realistic that one of the main characters would buy the farm at some point. The team has had one too many close shaves to keep getting away. That being said, I'm glad it wasn't Fusco. I love his character. Who would have guessed that Det. Carter would be joining Officer Lasky and Agent Donnelly pretty soon!