Set theorist criticizes OpenAI preprint on the Partition Principle and Axiom of Choice
Overview
Set theorist Asaf Karagila criticizes an OpenAI preprint that claims the Partition Principle does not imply the Axiom of Choice, calling the paper unclear, muddled, and oddly structured, with unexpected lemmas and weak references.
Karagila says the work is hard to verify. He also says OpenAI's press release calls it "progress" while media describe it as "solutions."
The report comes from a Hacker News discussion with over 150 points. It does not establish whether the preprint's mathematical claim is correct.
Written by AI from the articles below · updated Oct 9, 5:57 PM ET
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- Hacker News · AI (150+ points)BlogMathematician criticizes OpenAI's Partition Principle preprint as unclear and poorly referenced
AIA set theorist says OpenAI's preprint claiming the Partition Principle does not imply the Axiom of Choice is unclear, muddled, and oddly structured, with unexpected lemmas and weak references. He argues the work is hard to verify and that OpenAI's press release describes it as "progress" while media call it "solutions."
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