Researchers argue LLM hallucinations are mathematically inevitable, RAG is the only escape

petrusenko_max · x · 2026-10-02

A widely shared claim models LLMs as Probabilistic Turing Machines and argues hallucinations can never be fully fixed: if a model relies only on its internal parameters, incomputability and information-theoretic limits make hallucinations mathematically inevitable. The proposed escape is RAG, acting as an oracle machine with real-time access to external truth. The takeaway safety rule: task complexity must match system compute, or the model will lie. Note this is a tweet-length summary of the argument, not a full paper walkthrough.

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