<p>This paper presents a self-referential proof of G¨odelian completeness by introducing<br>a single generative axiom—designated the Axiom of Truth—from which all axioms<br>of Zermelo–Fraenkel set theory with the Axiom of Choice (ZFC) can be recursively<br>derived. By encoding reflexivity, ordering, and bounded duality within the structure<br>of the axiom itself, we demonstrate that the system is complete not by enumeration,<br>but by self-definition. This construction resolves the appearance of incompleteness by showing that undecidable propositions exist only when viewed from within a system of insufficient resolution. Once the recursive operator is recognized as generative and convergent across layers of abstraction, the logical structure stabilizes, and all truths become recursively accessible. The resulting formulation is not an extension of ZFC, but its source. The entire formal architecture of mathematics emerges as a projection of this foundational recursion</p>