That's a great question.

There is so much more to the mental side of pitching than just what you see.  With that said, the results are all you see on ESPN.  

You have to like Chris Carpenter's mental make up, he responds to the pressure as well as anybody in the game.

With I think 8 wins in the post season.

Plus I believe that Dave Duncan is the absolute best at preparing a game plan and then being able to convince his pitchers to execute it.  He has resurrected many of pitchers careers.

Roy Halladay is the best at executing his game plan game to game.  If you watch him pitch, every pitch he throws has a specific purpose, he don't waste pitches.  He usually only gets beat on the rare missed location or on a good pitch.

There are some great pitcher's in the Majors. 

But the best I ever seen (In My Generation) by far is Greg Maddux.  He made pitching an art form.  He would dare you to try and guess hit with him and he usually won. He was great fielding pitcher, he threw several pitches for strikes and he was aggressive in the strike zone.  When the pitch was close, the umpire gave him the benefit of the call.  Plus he was psycho competitive, he hated to lose and he left everything on the field.  

The mental game is more about preparation and handling the pressure.

The physical game is about talent, pitching mechanics, strength and conditioning and executing pitches.

Now when you put them both together, You have a Major League Caliber pitcher.

If you ever want to be a great pitcher you will need to understand just how both aspects of pitching are related and how to use them to maximize your talent and ability. 

I know there many great pitchers out there, these are just 2 of the best currently.

Great Question, I am interested to see what everyone thinks.