
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.
17 pages. Abstract added in migration.
Mathematics - History and Overview, History and Overview (math.HO), Quinn, Jaffe, Philosophical and critical aspects of logic and foundations, Sociology (and profession) of mathematics, math.HO, proof, Fields medallist, progress in mathematics, FOS: Mathematics
Mathematics - History and Overview, History and Overview (math.HO), Quinn, Jaffe, Philosophical and critical aspects of logic and foundations, Sociology (and profession) of mathematics, math.HO, proof, Fields medallist, progress in mathematics, FOS: Mathematics
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