"LLMs Will Always Hallucinate, and We Need to Live With This"

Your LLM will always make stuff up - blame Gödel, not the engineers.

According to this paper 🤔🤔

"LLMs Will Always Hallucinate, and We Need to Live With This"

📚 https://arxiv.org/abs/2409.05746v1

Key points from the paper. 👇

🧠 Hallucinations in LLMs not just mistakes, but inherent property. Arise from undecidable problems in training and usage process. Can't be fully eliminated through architectural improvements or data cleaning.

🔬 They use computational theory and Gödel's incompleteness theorems to explain hallucinations. Argue that LLM structure inherently leads to some inputs causing model to generate false or nonsensical information.

🚫 Complete elimination of hallucinations impossible due to undecidable problems in LLM foundations. No amount of tweaks or fact-checking can fully solve this issue. Fundamental limitation of current LLM approach.

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🧮 Gödel's incompleteness theorems:

👉 First theorem: Any consistent formal system powerful enough to encode arithmetic contains statements that are true but unprovable within the system.

👉 Second theorem: Such a system cannot prove its own consistency.

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