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Frank Calegari argues that mathematicians should not despair over OpenAI's recent release of 700 research papers claiming to solve major problems, as solving foundational problems is merely the beginning of new mathematical exploration, not the end of a field. He draws parallels to the classification of finite simple groups, which despite being completed, left rich unanswered questions and didn't exhaust the field's potential. Calegari suggests mathematicians should focus on improving their own practices around publication standards and training rather than worry about AI companies, while recognizing that major breakthroughs open new frontiers rather than "hollow out" mathematics.
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