Hinduism as an Open Normative System: An Axiomatic and Model-Theoretic Analysis

This paper develops a rigorous axiomatization of Hinduism treated strictly as a normative system, without appeal to theology, canon, or comparative evaluation. The axioms are induced from empirically observable structural features—contextual normativity, non-finality, plural admissibility, and persistence without centralized enforcement—rather than asserted a priori. A model-theoretic semantics is introduced in which concrete practices are interpreted as admissible models of the axioms. Within this framework, we prove non-trivial structural theorems establishing the impossibility of canonical finalization, the inevitability of non-isomorphic admissible models, persistence without global consistency, absorptive stability under extension, and the impossibility of stable exclusive schism. The axiomatization is shown to be falsifiable via structural criteria and robust with respect to Gödel- and Tarski-type limitations by design, as it avoids internal derivability, global truth predicates, and claims of completeness. The contribution is methodological: it demonstrates how openness itself can be axiomatized and analyzed rigorously through model adequacy rather than deductive closure.