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On proof and progress in mathematics

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arxiv math/9404236 v1 pith:K5HSZL3B submitted 1994-04-01 math.HO

William P. Thurston This is my paper · ORCID
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keywords mathematicsprogressauthorcaptureddiscussesdynamicalespeciallyfoliations
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In response to Jaffe and Quinn [math.HO/9307227], the author discusses forms of progress in mathematics that are not captured by formal proofs of theorems, especially in his own work in the theory of foliations and geometrization of 3-manifolds and dynamical systems.

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  1. The crisis of AI-generated mathematics

    math.HO 2026-08 unverdicted novelty 5.0 of 10

    A polemical essay calling for total opposition to AI in mathematics and proposing community-led resistance, including a co-ownership model for authorship.

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