Tech News
← Home  ·  All topics

Mathematical Proof

2 GoKawiil briefs on this topic

Four Color Theorem proof by Appel and Haken sparked 1976 backlash over computer math

In July 1976, mathematicians Kenneth Appel and Wolfgang Haken, aided by programmer John Koch, proved the Four Color Theorem using roughly 1,200 hours of computer processing and 10 billion logical decisions. The achievement, the first major theorem proved with heavy reliance on a computer, drew sharp criticism from mathematicians who argued that a proof no human could fully verify by hand should not count as legitimate mathematics.

OpenAI's AI-generated Navier-Stokes proof baffles mathematicians

OpenAI recently claimed its AI agents produced a solution addressing the Navier-Stokes equations, one of math's unsolved Millennium Problems, after running 10,000 agents for 88 hours. Mathematicians including Oxford's James Maynard and Brown's Javier Gómez-Serrano say the resulting proof, while apparently technically correct, is written in a form that is extremely difficult for humans to interpret or learn from.