Actually, Barbarian attacks are great for getting your units up to the Elite level...but a barbarian attack will never result to a Great Leader being spawned. This rule was purposely written in by Firaxis in order to keep the odds of spawning a GL within reason. So use the barbarians to promote your units to elite and then use these elites to attack your opponents (either AI or other human players) - then you have the possibility of spawning a GL.
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"One day if I do go to heaven, I'm going to do what every San Franciscan does who goes to heaven - I'll look around and say, 'It ain't bad, but it ain't San Francisco.'" - Herb Caen, 1996
"If God, as they say, is homophobic, I wouldn't worship that God." - Archbishop Desmond Tutu
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