| Human mathematicians are being outcounterexampled(xenaproject.wordpress.com) | |
| 434 points by artninja1988 21 hours ago | 213 comments | |
tl;dr: In mid-2026, AI tools (ChatGPT's Sol, Claude's Fable, and startups like Logos and Logical Intelligence) produced and formalized in Lean multiple counterexamples to long-standing math problems, including Erdős' Unit Distance conjecture, a 60-year-old Grothendieck question on finite group schemes, and the 100-year-old Jacobian Conjecture. The author, a Lean advocate, argues large AI-generated math developments are now inevitable and that any PhD student not paying for these tools is making a mistake. The remaining challenge is for humans to extract mathematical insight from these machine-discovered counterexamples. | |
HN Discussion:
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