OpenAI, the Partition Principle, and Mathematics

What happened: OpenAI released a preprint claiming the Partition Principle does not imply the Axiom of Choice. A set theorist reviewed it and called the writing unclear, muddled, and below journal quality. Key numbers: The problem is described as over a century old. The author cites over 15 years of work on the Axiom of Choice. Why it matters: The author warns that media framing these outputs as "solutions" may lead funders and policymakers to believe mathematicians can be replaced by bots, and that reviewing such work acts like a denial of service. Coverage: 3 outlets in 24h

OpenAI released a preprint claiming the Partition Principle does not imply the Axiom of Choice. A set theorist reviewed it and called the writing unclear, muddled, and below journal quality.

The author warns that media framing these outputs as "solutions" may lead funders and policymakers to believe mathematicians can be replaced by bots, and that reviewing such work acts like a denial of service.