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This document introduces the core language of TNA, defining concepts and establishing a structural framework.
The Theory of Axiomatic Necessity (TNA) has been developed through a series of papers spanning mathematical logic, epistemology, philosophy of mind, artificial intelligence, ontology, and metaphysics. Although these works address different domains, they are unified by a single structural principle. This document introduces the core language of TNA. It defines its primitive concepts, establishes the hierarchy of structural domains, and distinguishes formally proven results from their ontological consequences. In particular, we formulate the Structural Non-Derivability Corollary, which captures the impossibility of deriving instantiated realization from complete axiomatic description. The purpose of this paper is not to introduce new applications but to provide the common grammar from which all previous and future TNA developments can be expressed
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Claudio Bresciano (2026) studied this question.
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