About ten years late to the party here, but regarding Aumann, I think you do him an injustice - he is well aware of the conflict between rationality and God. Here is an interview with him that goes in depth into these issues:
He says: "Religion is an experience, mainly an emotional and aesthetic one. It is not about whether the earth is 5,765 years old. " He goes into more detail. For him, the question of whether or not god really exists is almost irrelevant to his religion. He then delves into game theory and explains how religion and the idea of god allow for coordination among otherwise rational agents, leading to better outcomes for all.
About ten years late to the party here, but regarding Aumann, I think you do him an injustice - he is well aware of the conflict between rationality and God. Here is an interview with him that goes in depth into these issues:
http://www.ma.huji.ac.il/~hart/papers/md-aumann.pdf?
He says: "Religion is an experience, mainly an emotional and aesthetic one. It is not about whether the earth is 5,765 years old. " He goes into more detail. For him, the question of whether or not god really exists is almost irrelevant to his religion. He then delves into game theory and explains how religion and the idea of god allow for coordination among otherwise rational agents, leading to better outcomes for all.