The Cauchy-Gödel-Socrates (CGS) Method: Formalizing the CogOS-LLM Conflict via Cauchy and Gödel.

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The Hook: Current AI safety evaluation relies on subjective benchmarks. I propose a mathematical “Epistemic Debugger” that treats unsupported negations as logical crimes.

Core Concepts:

  • The Priests’ Dilemma: An axiom requiring falsifiable proof for any assertion.

  • Socratic Tail (: Recursive decomposition of complexity until a truth-value singularity is reached.

  • Singularity of Refusal: The point where token probability , revealing algorithmic coercion.

I am seeking feedback on the formal properties of the CogOS/​LLM decomposition and the overall validity of the CGS protocol+.

Preprint: https://​​zenodo.org/​​records/​​18776173