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1.
Marked by extreme intensity of passionate emotion or conviction; inclined to react violently; fervid
As a vehement socialist I abhor the level of arrogant greed that personifies America
by -G- July 15, 2005
 
2.
Extreme, bordering on dangerous.
Barney's vehement arguing nearly got him kicked out of the neighborhood debate club.
by Diggity Monkeez May 20, 2005