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OpenAI, the Partition Principle, and Mathematics

OpenAI, the Partition Principle, and mathematics

karagila.org

October 8, 2026

6 min read

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Summary

OpenAI, the Partition Principle, and mathematics There are no comments on this post.By the time I got out of bed yesterday, I had three people ask me if I'd seen the OpenAI announcement that the Partition Principle does not imply the Axiom of Choice. The number kept increasing during the day, and I can see why. I am famously interested in this problem. Indeed, at least two people asked if I plan o...

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