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I Know Why the Mathematicians Weep

by Derek ThompsonDerek Thompsonpublished

Hraness wrote this summary from a saved copy of the source. Quotations are taken word for word from the source.

gist

Derek Thompson asks Steven Strogatz why mathematicians wept after OpenAI's flood of AI-generated proofs, and concludes they mourn not only bruised egos but the end of science as a thousand-year human conversation. He warns of knowledge without understanding, yet hopes that as intelligence becomes less uniquely human we will value relating to and teaching one another more.

ideas

  • Craft and conversation. Human science compounds because it blends a craft of discovery with a social conversation across generations, from Archimedes onward.
  • Grief beyond ego. Strogatz cries over Archimedes' promise of future discoverers; AI succeeds at the craft while interrupting the conversation.
  • Wimbledon versus the US Open. Decorous academic math meets brash labs, yet AI also democratizes discovery, as when a medical resident used ChatGPT on Crouzeix's conjecture.
  • Knowledge without understanding. Like Google Translate teaching nothing about linguistics, AI proofs can be inscrutable, though Regina Barzilay asks why life-saving models should be limited to human understanding.
  • What stays human. If AI takes over finding answers, people may still teach, interpret, and share what the machines discover.

quotes

“Science itself is both a craft and a conversation.”

Derek Thompson.

“It is knowledge without understanding.”

Steven Strogatz, on Google Translate.

“Why would we limit a life-saving model to what humans can understand?”

Regina Barzilay, as told by Strogatz.

“When the machines have discovered every truth there is to find, there may be nothing left to find except each other.”

Derek Thompson, closing line.