Whether God wills evils?

Objections

Objection 1 : It seems that God wills evils. For every good that exists, God wills. But it is a good that evil should exist. For Augustine says (Enchiridion 95): "Although evil in so far as it is evil is not a good, yet it is good that not only good things should exist, but also evil things." Therefore God wills evil things.
Objection 2 : Further, Dionysius says (Div. Nom. iv, 23): "Evil would conduce to the perfection of everything," i.e. the universe. And Augustine says (Enchiridion 10,11): "Out of all things is built up the admirable beauty of the universe, wherein even that which is called evil, properly ordered and disposed, commends the good more evidently in that good is more pleasing and praiseworthy when contrasted with evil." But God wills all that appertains to the perfection and beauty of the universe, for this is what God desires above all things in His creatures. Therefore God wills evil.
Objection 3 : Further, that evil should exist, and should not exist, are contradictory opposites. But God does not will that evil should not exist; otherwise, since various evils do exist, God's will would not always be fulfilled. Therefore God wills that evil should exist.