Set theory expert on OpenAI's PP-vs-AC solution: it would be desk-rejected

burny_tech · x · 2026-10-10

OpenAI claims to have resolved the old set theory question of whether the partition principle implies the axiom of choice, but expert Asaf Karagila's verdict is blunt: "If this was an academic paper submitted to a journal, it should be issued a desk rejection."

His core criticism: authors bear the onus of conforming to a journal's communication standards (a paper written in Swedish would be rejected outright by the AMS), yet OpenAI drops hundreds of "incomprehensibly written" solutions and expects appreciation — while he has his own papers to finish and students to supervise. The reaction has sparked debate over whether OpenAI's automated math output meets scholarly communication standards.

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