CAT'S THEORY: The Triadic Persistence Kernel — A Spiral-Complete, Convergence-Stable Formal Derivation
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| Formato: | Recurso digital |
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2025
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| _version_ | 1866901899194662912 |
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| author | Trout, Coty Austin |
| author_facet | Trout, Coty Austin |
| contents | <p>This work derives a triadic persistence kernel governing all coherent, selecting, and instantiated systems. Beginning from the minimal conditions required for intelligible inquiry, it demonstrates that any system capable of persistence must instantiate Pattern, bifurcated Intent (continuous selection × binary commitment), and Presence in a multiplicative relation.</p> <p>Independent derivations from reasoning, systems theory, category theory, and physics converge on the same kernel, which is shown to be unique up to isomorphism and terminal in the category of persistence-preserving abstractions. The work establishes the kernel as a structural necessity for coherence while explicitly rejecting any collapse of explanatory necessity into justificatory, theological, political, or normative claims.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18014804 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | CAT'S THEORY: The Triadic Persistence Kernel — A Spiral-Complete, Convergence-Stable Formal Derivation Trout, Coty Austin ontology meta-axioms systems theory category theory persistence coherence intentionality commitment instantiation recursive systems foundations of reasoning philosophy of computation AI theory Metaphysics Metaphysics Metaphysics Philosophy of Logic Systems Theory Category Theory Artificial Intelligence Artificial intelligence Artificial Intelligence <p>This work derives a triadic persistence kernel governing all coherent, selecting, and instantiated systems. Beginning from the minimal conditions required for intelligible inquiry, it demonstrates that any system capable of persistence must instantiate Pattern, bifurcated Intent (continuous selection × binary commitment), and Presence in a multiplicative relation.</p> <p>Independent derivations from reasoning, systems theory, category theory, and physics converge on the same kernel, which is shown to be unique up to isomorphism and terminal in the category of persistence-preserving abstractions. The work establishes the kernel as a structural necessity for coherence while explicitly rejecting any collapse of explanatory necessity into justificatory, theological, political, or normative claims.</p> |
| title | CAT'S THEORY: The Triadic Persistence Kernel — A Spiral-Complete, Convergence-Stable Formal Derivation |
| topic | ontology meta-axioms systems theory category theory persistence coherence intentionality commitment instantiation recursive systems foundations of reasoning philosophy of computation AI theory Metaphysics Metaphysics Metaphysics Philosophy of Logic Systems Theory Category Theory Artificial Intelligence Artificial intelligence Artificial Intelligence |
| url | https://doi.org/10.5281/zenodo.18014804 |