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OpenAI and the Partition Principle in mathematics
Original: OpenAI, the Partition Principle, and Mathematics
A mathematician examines how OpenAI's models handle the Partition Principle, a statement in set theory about splitting sets into equivalence classes that is independent of the standard axioms. The piece uses the topic to reflect on whether large language models can do genuine mathematics, and what their successes and failures on deep foundational questions reveal about the field.
Why now: Ongoing debate about whether AI systems can contribute to real mathematical research.
OpenAIPartition Principleset theorymathematics
Evidence
- OpenAI, the Partition Principle, and Mathematics · md224 · 184
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