An extremely important part of becoming mature is understanding that no matter how hard you try, you can never make someone be logical, and that you may very well be the one who is being illogical. Step back to analyze the situation, and don't be too vocal of your opinions unless you have all the facts. Also, never use your knowledge to criticize others relentlessly. Instead, try to understand their point of view so that you know their arguments or beleifs better than they do themselves.
