The Atheist Paradox is the logical impossibility of proving that a greater being does not exist. It is similar to the logical impossibility of proving that mathematics is free of errors. Godel proved that we can never know if mathematics is consistent, or error-free. A greater being could reveal himself to some but not others. The most an atheist could ever say is that he has not yet become aware of a greater being. That begs the question of whether the atheist is still looking, or has given up.