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The Problem of Evil
If God is all-powerful he can stop evil, if all-knowing he knows about it, if all-loving he would want to stop it, yet evil exists.
Evil
Pain or suffering experienced by sentient beings.
Moral evil
Evil caused by human free choices (e.g. murder, theft).
Natural evil
Evil caused by natural processes independent of human choice (e.g. earthquakes, famine).
Inconsistent triad
God is omnipotent, God is omnibenevolent, evil exists. All cannot be true simultaneously.
The logical problem of evil
If the tri-omni God exists, evil should not exist; evil exists; therefore God does not exist.
Evidential problem of evil
The scale and distribution of suffering make God unlikely.
Pointless suffering
Suffering that produces no moral or spiritual growth (e.g. infants dying).
Free Will Defence
Humans are the source of moral evil because God has created the best world he could; one where there is freedom and some evil instead of no freedom and no evil.
Theodicy
An explanation of why God allows evil.
Purpose of suffering
Develops virtues such as courage and compassion.
Epistemic distance
God remains partially hidden so humans freely develop.
Universal salvation
Everyone eventually reaches perfection.
Eschatological verification
Truth of the afterlife verified after death.