MAB–ST: A Meta-Level Relational Set-Theoretical Framework for AI and Scientific Modeling

Description MAB–ST (Markó Anna Beáta – Set Theory) is a meta-level, relational set-theoretical framework designed as a normative world-framework for formal systems. It does not aim to introduce a new internal mathematical theory, but to define structural admissibility conditions under which formal objects and relations can be meaningfully expressed. The framework originates from a philosophical analysis of the ontological roots of classical set-theoretical paradoxes (Russell, Cantor, Burali–Forti, Gödel) and addresses the problems of self-reference, totality, and level collapse at the meta-level. MAB–ST introduces an explicit world-structure—the world-quadruple—that prevents paradoxical constructions not through post-hoc axiomatic restrictions, but by making such configurations structurally non-expressible. Interpretive Note on Examples and Appendices The domain-specific examples, equations, models, and hypotheses included in the core framework and its thematic appendices are provided as illustrative demonstrations of how MAB–ST is intended to be interpreted, instantiated, and used as a mode of reasoning. They are not presented as completed empirical validations or as substitutes for domain-specific proof. Their purpose is to make the intended application logic explicit and to provide structured starting points for independent examination, formalization, parameterization, and testing by specialists in the relevant fields. The examples were deliberately chosen to be bold and far-reaching because the purpose was not merely to demonstrate the framework in simple or conventional cases, but to make its structural logic, interpretive scope, and potential cross-domain applicability clearly visible. Their ambitious character should therefore not be understood as a claim of completed validation, but as a deliberate means of exposing the framework to demanding forms of examination. Contents of This Record This record contains: a “Read This First” introductory document; the MAB–ST core framework (“Gerinc”); the industrial license terms governing the use of the framework. Access and Licensing The material is provided free of charge for academic research and educational purposes. Any industrial, commercial, or product-integrated use—including, but not limited to, applied optimization, deployment in commercial systems, and derivative commercial works—is subject to a separate license agreement with the author and is not permitted under the default access conditions. See the included license document for details. Structure and Access The main entry point to the MAB–ST framework is the “Read This First” introductory document. The core framework and all thematic appendices should be accessed and interpreted through the structure and introductory materials provided in this record. MAB–ST Package Index: DOI Registry and Cross-Domain Reference List Core Framework MAB–ST Core Framework (v1) — DOI: 10.5281/zenodo.18518738 Mathematics MAB–ST Mathematical Package — DOI: 10.5281/zenodo.18520515 Artificial Intelligence MAB–ST AI-Related Package — DOI: 10.5281/zenodo.18521094 Pharmacology / Drug Development MAB–ST Pharmacological Package — DOI: 10.5281/zenodo.18525924 Philosophy MAB–ST Philosophical Appendix — DOI: 10.5281/zenodo.18526075 Physics MAB–ST Physics Package — DOI: 10.5281/zenodo.18526254 Chemistry MAB–ST Chemical Package — DOI: 10.5281/zenodo.18539728 Systems Biology MAB–ST Systems Biology Package — DOI: 10.5281/zenodo.18541929 Astronomy / Astrophysics MAB–ST Astrophysics/Astronomy Package — DOI: 10.5281/zenodo.18544446 Game AI and Simulation An MAB–ST-Based Relational Framework for Game AI and Simulation: Runnable Python Appendix — DOI: 10.5281/zenodo.18743579