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by agnosticmantis 1131 days ago
Related articles in math and stats communities:

- The Two Cultures of Mathematics by Tim Gowers: https://www.dpmms.cam.ac.uk/~wtg10/2cultures.pdf

Discusses theory builders (think algebra) vs. problem solvers (think combinatorics) in mathematics, and how the latter have been sort of marginalized and under-appreciated in the community.

- Statistical Modeling: The Two Cultures by the legendary Leo Breiman

https://projecteuclid.org/journals/statistical-science/volum...

Discusses predictive modeling (think random forests and NNs) vs. statistical inference (think null hypothesis significance testing), and how the former have been under-appreciated in the stats community, to the detriment of statisticians.

Both very fun reads by two giants.

1 comments

Besides for also using the phrase "two cultures" in the title, those two (excellent) papers are not related to this at all.
Gowers literally starts his paper by

“In his famous Rede lecture of 1959, entitled “The Two Cultures”, C. P. Snow argued that the lack of communication between the humanities and the sciences was very harmful, and he particularly criticized those working in the humanities for their lack of understanding of science.”

For sure Tim Gowers would start a paper by citing a completely unrelated paper, which incidentally has the same title as his own.