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Combinatorics and more

Gil Kalai · 22 Sept 2026

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Gil Kalai did not write this page.

Every claim below was made in this piece, quoted word for word and numbered in the order the piece makes them, so you can read it there rather than take our word for it. The sentence above each quote is our reading of the claim, not their wording. Each quote was checked against a stored copy of the page at build time; where the two differ, the quote is the fact.

  1. Our reading

    The increasing role of AI in mathematics is a major event that may be a crisis, an opportunity, or both.

    Their wordsThe increasing role of AI in mathematics is a major event in our lives, perhaps a crisis, perhaps an opportunity, and probably both.

  2. Our reading

    The potential for AI to harm the field of mathematics is real.

    Their wordsThe potential for AI to harm the field is real, and I have no desire to downplay that danger.

  3. Our reading

    AI tools can come up with interesting and useful mathematical problems and conjectures.

    Their wordsMy overall impression is that in the course of working, AI tools come up with interesting and useful problems and conjectures- and occasionally answer them effectively.

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