Jia, Baolong: From Undefined to Universe: The Logical Necessity of Self-Referential Paradox as the Ontological Origin of Existence — Jia, Baolong's PR-ER-LE Framework: A Single-Premise Answer to the Leibniz Question

Description / Abstract We present a constructive proof that a single premise — "There exists at least one undefined syntactic position" — logically entails the emergence of a self-sustaining dynamical universe. Within the JiaBaolong Universal Axiom System, we formalize the derivation chain: Undefined → Self-Reference → Paradox (PR) → Resolution (LE) → Structure (ER) → New Undefined → Loop Through four theorems, we prove each step is a logical necessity: 1. Self-reference is ineliminable (Theorem