An atheist has decided to believe in unbelief. They generally believe in nonexistence ending existence, so by unbelieving they hope Hell is negated because it's existence cannot be proved to them as long as they are not in the fire. Atheists do not want to believe Jesus is God who loved them so much that he took their place in death, and in His bodily resurrection offers them forgiveness for their sins which they deserve to die for after He paid for them with His own blood. They know that if they believe the gospel and believe on the Lord Jesus Christ in his resurrection and receive Him as their Savior He will completely change their lives by making them children of God, new creations to honor their Father, their Creator, their Savior. It's a willful choice of rejecting belief to believe in unbelief, thinking they will prove Hell is not real by becoming non-existent in death. If their belief was true, they would already be non-existent in death. The problem is that they exist and cannot prove they are not in death as they are dying and can't get out of it. Their whole believe system is self-contradictory believing death removes them from existence so they escape life unpunished in death, and as long as they live they believe they are escaping death temporarily, and then in death they believe they escape death and life permanently. It's nonsense, and for good reason the Bible so eloquently states in Psalm 14:1........."The fool hath said in his heart, there is no God"
They think they are negating God in their unbelief, when in reality they are only negating their own selves in death......and the sad part is that death and Hell will be cast into the Lake of Fire, where the smoke of their torments will rise forever.