The Informational Wisdom of Religions: Why Religions Function Despite Mathematical Impossibility

A companion paper (Kohl 2026c) demonstrates that a responsive God faces an insoluble cascade problem: compensation for unanswered prayers generates exponentially growing conflicts, collapsing the system within approximately ten years. Yet religions have persisted for millennia and claim billions of adherents. This paper resolves the paradox by identifying four "innovations" that all major religions have independently developed: (1) qualification conditions that reduce the number of valid prayers quadratically, (2) afterlife displacement that removes wishes from the earthly system, (3) wish transformation that converts zero-sum into positive-sum desires, and (4) prosocial behavior mandates that objectively reduce resource conflicts. Together, these innovations reduce the effective conflict load by 95% and extend system stability from ~10 to ~33 compensation rounds—long enough that believers die before experiencing systemic failure. The convergent evolution of these features across independent religious traditions on different continents is not theological wisdom but informational necessity: religions that did not develop these innovations went extinct. This analysis draws on cultural evolution theory (Boyd & Richerson 1985) and the cognitive science of religion (Norenzayan 2013).