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Nicolas Bourbaki: The greatest mathematician who never was (2019)

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Re: Nicolas Bourbaki: The greatest mathematician who never was (2019)

#11
See also Blanche Descartes:

https://en.wikipedia.org/wiki/Blanche_Descartes

The pseudonym originated by combining the initials of the mathematicians' given names (Bill, Leonard, Arthur, and Cedric) to form BLAC. This was extended to BLAnChe. The surname Descartes was chosen as a play on the common phrase carte blanche.

Re: Nicolas Bourbaki: The greatest mathematician who never was (2019)

#12
I feel like Bourbaki set back teaching mathematics a great deal, by focusing too much on the abstraction rather than the concepts and intuition behind it.

V.I. Arnol'd does a better job of elucidating on this idea than I ever could in his "On Teaching Mathematics": https://www.uni-muenster.de/Physik.TP/~munsteg/arnold.html

Re: Nicolas Bourbaki: The greatest mathematician who never was (2019)

#13

I'm inclined to regard talk of judgement of who is a "great mathematician", who is the "greatest mathematician" and so on as mathematical criticism. And I'm inclined to regard mathematical critics in the same way G. H. Hardy did, as he explained in A Mathematician's Apology [1]. To put the matter more bluntly: if the pilots of Top Gun were in the business of criticism, there wouldn't be any left because they'd blow e…

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Re: Nicolas Bourbaki: The greatest mathematician who never was (2019)

#14
I think this is like saying: the greatest scientist of all time is "et al", who mastered all disciplines (including mathematics).

Edit (clarification):

I mean, by conflating multiple people's work as one (by whatever criteria, in this case a common pseudonym), comparison becomes meaningless.

Re: Nicolas Bourbaki: The greatest mathematician who never was (2019)

#15
post #12

I feel like Bourbaki set back teaching mathematics a great deal, by focusing too much on the abstraction rather than the concepts and intuition behind it. V.I. Arnol'd does a better job of elucidating on this idea than I ever could in his "On Teaching Mathematics": https://www.uni-muenster.de/Physik.TP/~munsteg/arnold.html

It is a necessary "pendulum". I doubt that if Bourbaki hadn't existed, then the likes of Arnold would have not produced their beautiful (and useful) advice on mathematical pedagogy.

Re: Nicolas Bourbaki: The greatest mathematician who never was (2019)

#16
post #5

The name was recently referenced by a satellite of another pseudonymous group, Wu-Ming (previously "Luther Blissett"). Under the name "Nicoletta Bourbaki" * , they published a number of very detailed analysis of historic revisionism and disinformation efforts, focusing particularly on material peddled by right-wing activists from the Italian North-East border. Bunch of links, in Italian: Published on Wu-Ming's own bl…

More info on this kind of thing in the cultural field: https://en.wikipedia.org/wiki/Luther_Blissett_(nom_de_plume)

Re: Nicolas Bourbaki: The greatest mathematician who never was (2019)

#19
post #12

I feel like Bourbaki set back teaching mathematics a great deal, by focusing too much on the abstraction rather than the concepts and intuition behind it. V.I. Arnol'd does a better job of elucidating on this idea than I ever could in his "On Teaching Mathematics": https://www.uni-muenster.de/Physik.TP/~munsteg/arnold.html

Teaching mathematics is a huge and important part of the mathematical endeavour, but that's not all that there is to it, and I don't think that's what Bourbaki was trying to do [0]. No one should learn, at least not initially, from a Bourbaki book—a sentiment with which I expect even his, uhm, constituents would agree [0]—but I suspect most professional mathematicians find the Bourbaki œuvre useful as a reference, both for facts they know that aren't otherwise written down, and for facts that are on the borders of their expertise and require only a spot check to confirm or dispute. Certainly I use it that way.

[0] EDIT: I am wrong about this historical fact, although I believe it doesn't change my point about modern usage. Wikipedia says: > While teaching at the University of Strasbourg, Henri Cartan complained to his colleague André Weil of the inadequacy of available course material, which prompted Weil to propose a meeting with others in Paris to collectively write a modern analysis textbook. (https://en.wikipedia.org/wiki/Nicolas_Bourbaki).

Re: Nicolas Bourbaki: The greatest mathematician who never was (2019)

#20
The group was a "Camerata"! There was a great talk at Rubyconf 2019 by Jessica Kerr about groups like this all over history who move their respective fields forward much faster than their contemporaries. She draws parallels to John Von Neumann's group, Van Gogh and friends, and more.

She talks about how the groups work together for a time doing great things, and then, and perhaps more importantly, the members of the group go on to do amazing things on their own or even start "invisible colleges" of their own.

Talk:

https://www.youtube.com/watch?v=1oeigCANJVQ&list=PLE7tQUdRKc...

Slides:

https://www.dropbox.com/s/zcgmrmz35jthvv3/Camerata-rubyconf....

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