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If you are trapped in generalizations, then you are going to limit your game. Can you say Flaggelant? Certainly Lawful Evil highly violent monks. Real monks were highly diverse, as opposed to the single stereo-type you seem to limit them to.
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Gotta disagree with you here. Flagellants mainly flagellated themselves, not other people, and even though there were rare cases of fighting monks, they weren't martial artists. Real European monks spent their time cloistered away in their monasteries. In fact, they were forbidden to shed blood because of their holy vows.
Hate to break it to you all, people, but European monks were not "Kung Fu Kid" clones, so don't even try to make a case for that.
Oh, and by the way, some members of the clergy in Mediaval Europe DID fight in wars, neatly circumventing the prohibition against shedding blood by hitting people with maces and other bludgeoning weapons.
Anyway, that notwithstanding, can you say "Friar Tuck?" He was a fighting monk, but he was sure no Kung Fu Kid.