The fall of the theorem economy(davidbessis.substack.com)
268 points by varjag 1 day ago | 115 comments
tl;dr: A former mathematician argues that AI's rapid progress on theorem-proving benchmarks (like the recent "First Proof" project, where labs solved 6-8 of 10 research-level problems) threatens mathematics as a profession, but exposes a deeper misunderstanding: math's real value lies in human comprehension and concept-building, not proofs themselves. He warns that AI-generated proofs are often unintelligible "Mathslop" that doesn't accrete to the corpus, and that the mathematical community's honor code—which rewards only theorem-proving—leaves it dangerously vulnerable to being declared "solved" by AI while its actual cognitive contributions go unrecognized.
HN Discussion:
  • Mathematics' real value is intuition and insight, echoing Egan's 'truth mining' vision
  • Proving theorems is a historical accident; math like software can rely on testing and usage
  • AI dominance may end open science as actors hoard AI-generated knowledge
  • Article correctly identifies understanding as core, and AI-generated proofs won't be understood by humans
  • ~Article misses that math's insularity and failure to communicate is the real problem