THE HIERARCHICAL RESTORATION OF MATHEMATICS AND LOGIC IN HUGANG CUI: a critical–propositional analysis in confrontation with the Theory of Objectivity, its Seven Absolute Truths, its logical tracks, its Inducer Effects, its cosmogonic theorem, and its defense of the primitive mathematical essence

This article presents a critical–propositional analysis of Hugang Cui’s Spacetime Substantivalism XX: The Hierarchical Truth Restoration of Mathematics and Logic in confrontation with the Theory of Objectivity. The study examines Cui’s CSSD framework, especially its distinction between Entity/Essence and Representation, its claim that the Logical Matrix TAO precedes mathematics, and its criticism of the Theory of Objectivity for allegedly placing a “mathematicized Nothingness” before logic. In response, the article reaffirms the central position of the Theory of Objectivity: Nothingness is not empirical absence, physical darkness, or a merely conceptual void, but a Primitive and Eternal Mathematical Essence. The analysis argues that the origin of the universe from this primitive mathematical essence is already demonstrated in the foundational bibliography of the Theory of Objectivity through a complete theorem expressed in non-conventional mathematical language, using graphs and logical relations, derived exclusively from the Seven Absolute Truths. The article also discusses logical tracks, boundaries, fields, observability, transcendent substance, atomic radiations, Inducer Effects, consciousness, empirical testability, and the possible dialogue between CSSD and the Theory of Objectivity. It concludes that Cui’s work constitutes a highly relevant interlocutor for the Theory of Objectivity, because it directly challenges its first axiom while also sharing important concerns regarding logic, ontology, mathematics, information, and cosmology. This analytical text counted on the analytical support of ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Denivaldo Silva; Hugang Cui; CSSD; TAO; Logical Matrix; Spacetime Substantivalism; mathematics; logic; Nothingness; primitive mathematical essence; Seven Absolute Truths; logical tracks; Inducer Effects; transcendent substance; ontology; cosmology; information physics; modal ontology; Zenodo.