# Mathematicians Struggle Against AI AI is redefining mathematical proofs. - **Source:** [Hacker News (news.ycombinator.com)](https://brifing.si/source/13c923cd-6d99-442b-9b8b-1181f4d8cd91) - **Published:** 2026-07-20 - **Topic:** [Data & AI](https://brifing.si/c/data-ai) - **Original article:** - **On Brifing:** https://brifing.si/s/09529a18-475c-412b-8287-3688932de52c ## Introduction Recent weeks have seen AI-generated counterexamples making waves in the mathematical world. These developments are raising questions about the future of mathematical proofs. ## Erdős’s Unit Distance Conjecture ChatGPT disproved Erdős’s Unit Distance conjecture. This had a significant impact on the mathematical community and increased trust in AI among human mathematicians. ## Lean Formalization The proof generated by ChatGPT was formalized using Lean, a theorem-proving system. This demonstrates AI’s potential to automate mathematical proofs. ## Logical Intelligence Logical Intelligence autoformalized ChatGPT’s paper in Lean. This marks an important step in the convergence of AI and mathematical formalization. ## Global Class Field Theory ChatGPT formalized complex mathematical theorems like global class field theory. This showcases AI’s depth in mathematical reasoning. ## Boris Alexeev’s Contribution OpenAI’s Boris Alexeev used ChatGPT to fully formalize Erdős’s counterexample. This further proves AI’s capability in mathematical proofing. ## Lean Code The AI model Sol produced 1.2 million lines of Lean code in three weeks. This is a significant milestone for the future of mathematical formalization. ## Formalizing Fermat Workshop During the Formalizing Fermat workshop, errors were found in AI-generated mathematical texts. This highlights the limitations of AI. ## Counterexamples AI detected errors in mathematical texts and produced counterexamples. This emphasizes AI’s analytical capabilities in mathematics. ## The Future of Mathematical Proofs AI is playing a crucial role in the formalization of mathematical proofs. This could mark the beginning of a new era in mathematics. ## AI and Mathematicians AI is making mathematicians’ jobs easier while also increasing the reliability of mathematical proofs. This signals a significant transformation in the mathematical world. ## Conclusion AI is playing a crucial role in the formalization of mathematical proofs. This could mark the beginning of a new era in mathematics. ## Sources covering this story - https://xenaproject.wordpress.com/2026/07/20/human-mathematicians-are-being-outcounterexampled/ — --- _Summary written by Brifing from the original reporting. Copyright in the original article belongs to its publisher; read the full piece at the link above._