OpenAI's Mathematical Proof: Why ChatGPT's Hallucinations Are Here to Stay (Maybe)

OpenAI's latest research paper mathematically proves why large language models like ChatGPT "hallucinate" – confidently fabricating facts. This isn't simply a training issue; it's mathematically inevitable due to the probabilistic nature of word prediction. Even perfect data wouldn't eliminate the problem. The paper also reveals a flawed evaluation system that penalizes uncertainty, incentivizing models to guess rather than admit ignorance. While OpenAI proposes a confidence-based solution, it would drastically impact user experience and computational costs, making it impractical for consumer applications. Until business incentives shift, hallucinations in LLMs are likely to persist.