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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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