Annihilationism is the teaching that when a person dies, he is annihilated; most often this doctrine is applied to the wicked thereby negating eternal hell fire. This is contradicted by the Bible in Matt. 25:46 which says “And these will go away into eternal punishment, but the righteous into eternal life.” Also, degrees of punishment will be given on the Day of Judgment (Rev. 20:11-15). If all or only the wicked are annihilated, then degrees of punishment would be pointless.

See the extensive CARM section on Annihilatioinism