From 1 to 0: The Origin of Logical Origin Theory

The confusion between the ontological Primordial 1 and the symbolic 0 has long plagued cosmology and logic theory, leading to paradoxes such as “existence arising from non‑being.” This paper integrates two original core theories—the Four‑Dimensional Basic Set (Set of Unity) and the Ontology of 0 and 1—to form a fully closed logical system. We define Primordial 1 as the sole absolute, eternal, self‑sufficient ontological reality. Its manifest state is the four‑dimensional basic set: S_4 = \{1^+, 1^-, 1↑, 1↓\}, which generates spiral, rotation, 45° steady state, and double‑cone cosmic structure. Its latent state is expressed as 1^0. We define 0 as a relative, man‑made symbolic tool for boundary marking, independent of ontology yet functionally related to 1. The exponent 0 does not change the essence of 1; it only marks temporary inactivity. By clarifying that 1 is the substance and 0 is the tool, independent in essence and related in function, we resolve millennia‑old confusion and establish a complete, original, paradox‑free cosmic origin system.