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25 Fields Medalists warn OpenAI's math proofs threaten open research, cite unverified claims

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25 Fields Medalists warn OpenAI's math proofs threaten open research, cite unverified claims

Twenty-five Fields Medalists signed an open letter criticizing AI labs, including OpenAI, for rushing unverified math proofs and threatening open research. The signatories argue that AI-generated solutions risk undermining the mathematical community's ability to understand and integrate new ideas.

TL;DR

  • 25 Fields Medalists signed an open letter criticizing AI labs for threatening open research in mathematics.
  • OpenAI withdrew sponsorship from a CalTech math event after facing criticism from researchers.
  • Mathematicians fear AI labs will incentivize secrecy and undermine the intellectual super-structure of their field.

What happened

Twenty-five leading mathematicians, all Fields Medalists, signed an open letter arguing that AI labs are threatening their intellectual work. The letter highlights concerns about AI-generated solutions to famous math problems being rushed and unverified, raising attribution and plagiarism questions.

NYU professor Tristan Buckmaster accused OpenAI of pressuring him not to credit a collaborator who works for Anthropic for solving an important math problem. Buckmaster also questioned whether OpenAI used their work with Codex to produce its own ground-breaking proof over a marathon weekend of inference.

On Thursday, OpenAI withdrew its sponsorship of a math event at CalTech after facing criticism from researchers at the university. The signatories of the new letter argue that AI-generated solutions must be understood and communicated by the math community to benefit humanity.

Why it matters

The letter raises concerns about the potential loss of the intellectual super-structure that nourishes students, finds new questions and ideas, and integrates them into broader human civilization. The signatories argue that the value in math isn't just the proofs and who gets credit, but the broader impact on society.

The dynamic where frontier labs can spend tens of millions of dollars using LLMs to beat the original researchers to a proof could incentivize secrecy and threaten the culture of open research. This could have implications for other scientific and creative professions as AI tools change workflows.

The letter follows the Leiden Declaration, released by a working group of mathematicians in June, which also grapples with the ways that LLM proofs will change their work. The signatories argue that the issues the mathematical community faces now are similar to issues that other scientific and creative professions are facing, and indicate issues that all of humanity might face.

Key facts

  • Twenty-five Fields Medalists signed an open letter criticizing AI labs for threatening open research in mathematics.
  • NYU professor Tristan Buckmaster accused OpenAI of pressuring him not to credit a collaborator who works for Anthropic for solving an important math problem.
  • OpenAI withdrew its sponsorship of a math event at CalTech after facing criticism from researchers at the university.
  • The signatories of the new letter argue that AI-generated solutions must be understood and communicated by the math community to benefit humanity.
  • The letter follows the Leiden Declaration, released by a working group of mathematicians in June, which also grapples with the ways that LLM proofs will change their work.
  • The signatories argue that the issues the mathematical community faces now are similar to issues that other scientific and creative professions are facing, and indicate issues that all of humanity might face.
  • The letter raises concerns about the potential loss of the intellectual super-structure that nourishes students, finds new questions and ideas, and integrates them into broader human civilization.
  • The dynamic where frontier labs can spend tens of millions of dollars using LLMs to beat the original researchers to a proof could incentivize secrecy and threaten the culture of open research.

Context

The debate over AI-generated solutions in mathematics is part of a broader conversation about the impact of AI on various professions. As AI tools become more advanced, they are changing workflows and raising questions about attribution, plagiarism, and the value of human expertise.

The mathematical community is grappling with these issues as AI labs rush to solve famous math problems. The signatories of the open letter argue that the value in math isn't just the proofs and who gets credit, but the broader impact on society.

The letter follows the Leiden Declaration, which offers a set of recommendations for mathematicians, institutions, and policymakers. The signatories argue that the issues the mathematical community faces now are similar to issues that other scientific and creative professions are facing, and indicate issues that all of humanity might face.

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