"To end Brock Lesnar’s career." he replied instantly. "Really, it’s what I think about all the time. Brock Lesnar exploited a huge weakness in my game and no matter who I crush after this, I have to crush him to show I’ve improved that weakness." 

"It’s nothing about how he talked to me in my last fight, I could care less about it.  If I took it that personal there are other ways to handle situation like that outside of a cage, but honestly I just want to fix what was exploited. If you’re a true martial artist you don’t do it for money or titles, just to be the best human being possible, and if someone exploits a weakness, who better to see if you’ve fixed it than the guy who exploited it." 

"Getting the title back, it’s a nice novel idea, but even being the heavyweight champ or the interim champ, I got to be honest, I didn’t really feel that different walking around… Some people think that with the belt, that you made it.  Nah, you didn’t make shit.  You won a fight, just the fight happened to have more ribbon and bells and whistles on it. Bottom line, [its about] testing yourself!"

--Former UFC Heavyweight Champion, Frank Mir when asked by Fighters Only about what he wanted to accomplish before retiring.

A future rubber match between the two fighters is certainly possible, but in the mean time, Mir should be thinking more about his UFC 107 opponent, Cheick Kongo.