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Bulletin of the American Mathematical Society

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Varieties of mathematical understanding


Author: Jeremy Avigad
Journal: Bull. Amer. Math. Soc. 59 (2022), 99-117
MSC (2020): Primary 00A35, 01A67; Secondary 52-02, 52-08
DOI: https://doi.org/10.1090/bull/1726
Published electronically: February 22, 2021
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Abstract: This essay considers ways that recent uses of computers in mathematics challenge contemporary views on the nature of mathematical understanding. It also puts these challenges in a historical perspective and offers speculation as to a possible resolution.


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Additional Information

Jeremy Avigad
Affiliation: Department of Philosophy, Baker Hall 161, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213
MR Author ID: 611724
ORCID: 0000-0003-1275-315X
Email: avigad@cmu.edu

Received by editor(s): October 19, 2020
Published electronically: February 22, 2021
Additional Notes: This work has been partially supported by AFOSR grant FA9550-18-1-0120 and the Sloan Foundation.
Article copyright: © Copyright 2021 American Mathematical Society