Does God Exist? by Christopher Kaczor: 9. Does Evil Disprove God's Existence?

In this final lecture of nine, I examine the question of whether evil disproves God’s existence. There are two versions of the problem of evil. The first logical version of the problem of evil says that any evil at all disproves God’s existence. One toothache alone disproves God. If God is all good, then God would want to get rid of all evil. If God were all powerful, then God could get rid of all evil. But obviously evil exists, so it seems that God lacks goodness or power or both. A second evidential version of the problem of evil argues that there is unjustified evil in the world. If there were only a little evil, perhaps that would be compatible with the existence of God, but there is so much evil that God (at least as Aquinas describes God) cannot exist. Do these arguments actually show that God doesn’t exist. We suggest that neither argument establishes that it is impossible that God exists. 

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https://youtu.be/A6ILV4C3IKA