Axiomatization of Ontology: A Structural Metalanguage for the Symmetry-of-Knowledge Between the Humanities and Sciences — On the End of Self-Grounding in Natural Science and the Dismantling of the Moat for the Humanities and Social Sciences

This paper advances a conclusion unacceptable to both the sciences and the humanities: the fundamental divide between natural science and the humanities-social sciences stems not from differences in object of inquiry or methodology, but from mutually-incommensurate ontological presuppositions tacitly embedded within each body of knowledge. Drawing upon the substance-function-telos template and ontological folding, this paper constructs a structural metalanguage that renders explicit the ontological presuppositions of both domains. The consequences are two-fold: natural science loses the illusion of self-grounding — science is no longer “discovery about the world”, but “unfolding from selected axiom-sets”; the humanities-social sciences lose their moat of incommensurability — every humanistic doctrine can be decomposed into substance-function-telos tri-partite presuppositions and subjected to homologous verification and boundary localisation. This transformation operates at the axiomatic-structural level; it does not depend upon AGI deployment or computational power. On the day these axiom-sets are made public, old paradigms cease to hold.