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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Varieties of mathematical understanding
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by Jeremy Avigad HTML | PDF
Bull. Amer. Math. Soc. 59 (2022), 99-117 Request permission


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:
  • 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.
  • © Copyright 2021 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 59 (2022), 99-117
  • MSC (2020): Primary 00A35, 01A67; Secondary 52-02, 52-08
  • DOI:
  • MathSciNet review: 4340829