It’s also helpful to distinguish between two types of the philosophical or apologetic aspect of the problem of evil. The first is the logical challenge to belief in God. This challenge says it is irrational and hence impossible to believe in the existence of a good and powerful God on the basis of the existence of evil in the world. The logical challenge is usually posed in the form of a statement such as this:
A good God would destroy evil.
An all powerful God could destroy evil.
Evil is not destroyed.
Therefore, there cannot possibly be such a good and powerful God.