Consider the following thought experiment. Adam has been in a state of severe anxiety for years now. Recently he obtained overwhelming evidence that he is going to die if he does not get rid of his anxiety. He also has overwhelming evidence that the only way for him to acquire peace of mind is to believe that God does not exist. Now, suppose that Adam has in fact overwhelming evidence for God's existence. In an ultimate attempt to save his life he nevertheless starts to try to force himself psychologically to believe - contrary to the evidence - that God does not exist. After two weeks he finds himself in a state of believing that God does not exist. As a result he obtains the desired peace of mind and thus loses his anxiety. In this way he manages to save his life. Now consider the following question. Is Adam's believe that God does not exist rational?
Note: For the puzzle it doesn't matter if we would have assumed that Adam has overwhelming evidence for God's non-existence and for the fact that the only way for him to acquire peace of mind is to believe God exists.