Usefulness of LLM-generated hypotheses and ideas for scientific discovery
Determine whether hypotheses and research ideas generated by large language models are useful in practice and lead to new scientific discoveries, given their typically theoretical nature and the costly validation required to justify them.
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Additionally, given that hypotheses and ideas are typically theoretical and cannot be validated without costly justification, it is unclear whether generated hypotheses and ideas are truly useful and lead to new scientific discoveries.
Our results showed that LLMs are capable of creating a self-expanding mathematical library, which can have a high quality and diversity of theorems, but it is not yet clear if the new theorems are also useful for proving future results.
Directly evaluating such claims is challenging since determining whether a research idea is genuinely useful remains an open problem and lacks reliable evaluation metrics (Si et al., 2025; 2026).