Grothendieck's use of equality · HackerPapers discussions

Grothendieck's use of equality — mentioned by jojomodding

Sun, 24 May 2026 22:02:42 GMT

Interestingly, the way in which Grothendieck conceived of equality is nowadays being questioned, especially due to the rise of formalized mathematics and Lean. More concretely, there is this fun paper by Kevin Buzzard which deconstructs it: https://arxiv.org/abs/2405.10387 Money quote: > In this paper I argue that the first assertion above is false, the second is dan- gerous, and the third is meaningless.

Paper and discussion history. A mention is not an endorsement.

Grothendieck's use of equality — mentioned by zozbot234

Sun, 01 Jun 2025 14:47:41 GMT

> HoTT is a highly technical, highly niche topic and it doesn't make sense to tackle two ambitious projects at the same time like this. It's also a bit of a controversial topic in formalized mathematics. See the following relevant comments by Kevin Buzzard (an expert in Lean and also in the sort of abstract nonsense that might arguably benefit directly from HoTT) - Links courtesy of https://ncatlab.org/nlab/show/Kevin+Buzzard * Is HoTT the way to do mathematics? (2020) https://www.cl.cam.ac.uk/events/owls/slides/buzzard.pdf ("Nobody knows because nobody tried") * Grothendieck's use of…

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Grothendieck's use of equality — mentioned by nyrikki

Sun, 04 Aug 2024 21:21:15 GMT

Pi is transcendental but computable. For an introduction to real real analysis is an old book typically called the 'Baby Rudin' Principles of Mathematical Analysis by Walter Rudin. It is tiny and expensive, as most college math text books are once you get past a certain level. No idea if there is something better now, it is from the 1950's and there are used copies in most used book shops for cheap (or there was). It has no definition of 'equals' but does have a concept of equivalent relations. Dummit and Foote's Abstract Algebra book is a great reference, especially with the problem with AI…

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Grothendieck's use of equality — mentioned by tocs3

Sat, 27 Jul 2024 13:43:47 GMT

I do not have time now but I intend to read this soon. Link to paper: https://arxiv.org/pdf/2405.10387 It is a nice looking article that about how we use the eual sign in mathematics and computer science. I do not look a popularmechanics much (not really since the early 80s). his one looks good. I would like to know hat others think.

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Grothendieck's use of equality — HN submission

Mon, 20 May 2024 11:41:08 GMT

Grothendieck’s use of equality

178 points; 129 discussion replies on HN. Paper and source history. A submission is not an endorsement.