For centuries, debates about God's existence have gone in circles. Believers and atheists argue past each other, repeating the same moves, reaching no resolution. This book explains why-and offers a way forward.The problem is not weak arguments. The problem is that "God" means different things to different people, and the rules of proof are never specified. Boris Kriger introduces the Principle of Definition-Dependent Provability: the provability of any statement is a function of how its key terms are defined. A claim that varies in provability across definitions is not undecidable-it is underdefined.This principle transforms the question. Classical proofs of God are not proofs of "God" as such, but proofs of specific properties: necessity, first causation, maximal greatness. Each succeeds or fails depending on definitional precision.Drawing on six formally established laws, Kriger constructs a dual-system framework: the World-System (finite, competitive, governed by scarcity) and the Kingdom-System (a higher-order reality with different rules). Their overlap requires a mediating operator-derived from structural necessity, not theological assumption. This operator is what the analysis identifies as God.The book applies this framework to atheist objections, classical proofs, scientific arguments, and the Gospel itself-showing that evangelical paradoxes are not contradictions but cross-system mappings between incompatible logics.This work does not settle belief. It clarifies what kind of question we are asking and under what conditions proof becomes possible. Keywords: philosophy of religion, existence of God, formal proof, dual-system theory, definition-dependent provability, Gospel formalization