Wiktionary
n. (context theology English) The Christian doctrine that sinners are permanently destroyed rather than being confined to Hell.
Wikipedia
Annihilationism (also known as extinctionism or destructionism) is a Christian belief that at the Last Judgment those not receiving salvation are destined for total destruction, not everlasting torment.
It is directly related to the doctrine of conditional immortality, the idea that a human soul is not immortal unless it is given eternal life. Annihilationism asserts that God will eventually destroy the wicked, leaving only the righteous to live on in immortality. Some annihilationists (e.g. Seventh-day Adventists) believe God's love is scripturally described as an all-consuming fire and that sinful creatures cannot exist in God's presence. Thus those who elect to reject salvation through their free will are eternally destroyed because of the inherent incompatibility of sin with God's holy character. Seventh-day Adventists posit that living in eternal hell is a false doctrine of pagan origin, as the Wicked will perish as the Bible says in the Lake of fire. Jehovah’s Witnesses believe that there can be no punishment after death because the dead cease to exist.
Annihilationism stands in contrast to both the traditional and long standing belief in eternal torture in the lake of fire, and the belief that everyone will be saved ( universal reconciliation or simply "universalism").
The belief has appeared throughout Christian history, but has always been in the minority. It experienced a resurgence in the 1980s when several prominent theologians including John Stott were prepared to argue that it could be held sincerely as a legitimate interpretation of biblical texts (alternative to the more traditional interpretation of them), by those who give supreme authority to scripture. Earlier in the 20th century, some theologians at the University of Cambridge including Basil Atkinson supported the belief. 20th-century English theologians who favor annihilation include Bishop Charles Gore (1916), William Temple, 98th Archbishop of Canterbury (1924); Oliver Chase Quick, Chaplain to the Archbishop of Canterbury (1933), Ulrich Ernst Simon (1964), and G. B. Caird (1966).
Some Christian denominations which are annihilationist were influenced by the Millerite/ Adventist movement of the mid-19th century. These include the Seventh-day Adventists, Bible Students, Christadelphians and the various Advent Christian churches. Additionally, the Church of England's Doctrine Commission reported in 1995 that "[h]ell is not eternal torment", but "non-being". Some Protestant and Anglican writers have also proposed annihilationist doctrines.
Annihilationists base the doctrine on their exegesis of scripture, some early church writing, historical criticism of the doctrine of hell, and the concept of God as too loving to torment his creations forever. They claim that the popular conceptions of hell stem from Jewish speculation during the intertestamental period, belief in an immortal soul which originated in Greek philosophy and influenced Christian theologians, and also graphic and imaginative medieval art and poetry.
Contrasting beliefs include universal reconciliation, where all souls are seen as immortal and eventually receive salvation, and special salvation, where a positive afterlife is exclusively held by just some souls.