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June 26, 2026Open Access

TNA Core Language v3: The Structural Grammar of Axiomatic Necessity

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Authors

CBClaudio Bresciano

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Overview

Establishes TNA as an ontological calculus explaining its structural limitations and implications for AI.

Key Points

  • The central aim is to rigorously define the Theory of Axiomatic Necessity (TNA) as an ontological calculus.
  • Defined three primitive domains: Unlimited Structural Possibility, Descriptive Domain, Instantiated Domain.
  • Introduced three structural operators: Projection, Coherence Restriction, Instantiation.
  • Established the Structural Non-Derivability Corollary to analyze computability within the context of AI.
  • Demonstrated $ orall ext{TNA}$, $eta ext{(I)}$ is structurally non-computable from $ ext{(Σ)}$.
  • Showed how Large Language Models successfully execute $ ext{Π}$ and $ ext{C}$ but fail at $ ext{I}$.
  • Unified limits of Gödelian incompleteness and cosmological boundaries under a formal structural grammar.

Cite This Study

Claudio Bresciano (2026) studied this question.

synapsesocial.com/papers/6a3e1a11030ad1a9b3092a0ehttps://doi.org/10.5281/zenodo.20837120
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