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

skovnats

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

by skovnats

25th Feb 2026

1 min read

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Rejected for the following reason(s):

No LLM generated, heavily assisted/co-written, or otherwise reliant work.

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This is a linkpost for https://zenodo.org/records/18776173

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

CensorshipEpistemic ReviewEpistemologyGödelian LogicHuman-AI SafetyLanguage Models (LLMs)Machine Learning (ML)Rationality VerificationAIRationality

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

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