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…

3 points•rramadass•6 days ago•1 comment•

1 comment

rramadass6 days ago
Very pertinent given the current "AI misalignment" with Mathematics.

Be sure to also read Jaffe and Quinn's ``Theoretical mathematics'': Toward a cultural synthesis of mathematics and theoretical physics referred to in the paper - https://arxiv.org/abs/math/9307227

Also see this for responses from other Great Mathematicians; Responses to ``Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics'', by A. Jaffe and F. Quinn - https://arxiv.org/abs/math/9404229

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