Small Theological Bible Dictionary
The doctrine that the finally impenitent will be totally annihilated after death
1909 Catholic Dictionary
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School of thought which considers immortality itself to be a grace, and not the natural attribute of the soul; and that the finally impenitent will merely cease to exist.
CARM Theological Dictionary
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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 Mat 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.