Is evil in the world and deep human suffering a valid atheist argument for the non existence of God?
If there exists an extreme depth of ( evil-negative) wickedness , then there must also be an extreme height of Love (good -positive) This then is God.
In the discipline of physics, a law
States that for every action there is an equal and opposite reaction. In this sense, excesses of wickedness like Auschwitz and other massacres prove God's existence.
All deep human suffering is not a valid atheist argument but proof that there must be a Comforter to compensate for it. Much suffering is directly or indirectly God's punishment for sin. To deduce from such suffering that there is no God is to deny instrumentality . One might as easily prove that a child has no father by the fact that his father spanked him.
appeal to ignorance is an argument for or against a proposition on the basis of a lack of evidence against or for it. If there is positive evidence for the conclusion, then of course we have other reasons for accepting it, but a lack of evidence by itself is no evidence for a no God.