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OpenAI and the Partition Principle in mathematics

Original: OpenAI, the Partition Principle, and Mathematics

A new essay examines OpenAI's language models in the context of the Partition Principle, a long-standing open question in set theory about whether every partition of a set implies a surjection in the reverse direction. The piece explores what large language models can and cannot do when faced with deep problems in mathematical logic, sparking discussion among mathematicians and AI watchers.

Why now: Growing curiosity about how well AI systems handle abstract, unresolved problems in pure mathematics.

OpenAIPartition Principleset theory

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