OpenAI, the Partition Principle, and Mathematics

OpenAI recently announced that their research on the Partition Principle does not imply the Axiom of Choice. This news has garnered significant attention, and many people have asked if the author plans to send Sam Altman a bottle of whisky, as previously stated on the author's Problems page. However, the author clarifies that they do not intend to send whisky, and expresses their frustration with OpenAI's approach to presenting this research.

The author argues that the preprint released by OpenAI is poorly written, muddled, and has a strange structure, with unclear terminology and unanticipated theorems. The author further criticizes the references used in the paper, citing unpublished, unrefereed, and non-arXiv lecture notes. They compare the preprint to other academic papers in the field, stating that they should be able to understand the overall strategy and construction, even if they are not familiar with the technical details.

In contrast, the OpenAI preprint is difficult to comprehend and lacks the necessary clarity for mathematicians to assess its contribution to the field. The author emphasizes that the quality of the writing and the communication of the results should be much better for a serious preprint claiming to solve a long-standing problem.

They also express concerns about the impact of such poorly written research on public perception of mathematicians' work and the potential consequences for the field.