Who is the greatest player of all time by position?

[Rad_Hazard]

Ok, it looks like we are all adding a RHP/LHP split so I'll change mine to reflect that as well as adding a catcher with MLB experience:

RHP - Cy Young - GOAT, his records will never be touched. Dominated two different eras.
LHP - Randy Johnson - I think this one is clear cut.
RP - Mariano Rivera - Not. Even. Close.
C - Mike Piazza - I like him more than Pudge or Bench, he's the greatest hitting catcher of all time.
1B - Lou Gehrig - This one is clear cut.
2B - Rogers Hornsby - This one is clear cut.
SS - Honus Wagner - This one is clear cut.
3B - Mike Schmidt - I would love to say Brett, but it's Schmidt all the way.
LF - Ted Williams - I can see swapping here, but only for Bonds. Cobb can't go here since he was a CF almost exclusively and Mays is better there.
CF - Willie Mays - This one is clear cut.
RF - Babe Ruth - This one is clear cut.