“Theoretical mathematics”: toward a cultural synthesis of mathematics and theoretical physics
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 by Arthur Jaffe and Frank Quinn PDF
 Bull. Amer. Math. Soc. 29 (1993), 113 Request permission
Abstract:
Is speculative mathematics dangerous? Recent interactions between physics and mathematics pose the question with some force: traditional mathematical norms discourage speculation, but it is the fabric of theoretical physics. In practice there can be benefits, but there can also be unpleasant and destructive consequences. Serious caution is required, and the issue should be considered before, rather than after, obvious damage occurs. With the hazards carefully in mind, we propose a framework that should allow a healthy and positive role for speculation.References

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Additional Information
 © Copyright 1993 American Mathematical Society
 Journal: Bull. Amer. Math. Soc. 29 (1993), 113
 MSC (2000): Primary 00A30; Secondary 00A35, 00A79, 01A60
 DOI: https://doi.org/10.1090/S027309791993004130
 MathSciNet review: 1202292