Becker knows the world sucks, and won't hesitate to tell you. He has a heart of gold, he can be modest, have empathy, and above all, love his fellow man. He can be annoyed easily, is arrogant, and stingy. Becker shows moments of kindness, and genuinely cares for his patients. He chooses to stay in a run-down Bronx neighborhood because that's where he is needed. He often accepts gifts, from patients who can't pay him.
Dr. Cox knows the game the world plays. He knows that bad things happen and the happen often. He is willing to teach you, but not walk you through it. A condescending, cruel, and bitter man, that is still loving, caring, and concerned for others welfare. He is a good person that can be a powerful person in someones life.
I don't need to tell you about House.