Nicolas Bourbaki (English Wikipedia)

Mathias, A. R. D. (2002). "A Term of Length 4 523 659 424 929". Synthese. 133 (1/2): 75–86. doi:10.1023/A:1020827725055. ISSN 0039-7857. JSTOR 20117295. Retrieved 5 January 2024. ABSTRACT. Bourbaki suggest that their definition of the number 1 runs to some tens of thousands of symbols. We show that that is a considerable under-estimate, the true number of symbols being that in the title, not counting 1 179 618 517 981 links between symbols that are needed to disambiguate the whole expression.
Bourbaki 1950, pp. 224–26. Bourbaki, Nicolas (1950). "The Architecture of Mathematics". American Mathematical Monthly. 57 (4): 221–32. doi:10.1080/00029890.1950.11999523. JSTOR 2305937. Presumptive author: Jean Dieudonné. Authorized translation of the book chapter L'architecture des mathématiques, appearing in English as a journal article.
Bourbaki 1950, p. 227. Bourbaki, Nicolas (1950). "The Architecture of Mathematics". American Mathematical Monthly. 57 (4): 221–32. doi:10.1080/00029890.1950.11999523. JSTOR 2305937. Presumptive author: Jean Dieudonné. Authorized translation of the book chapter L'architecture des mathématiques, appearing in English as a journal article.
Stewart, Ian (November 1995). "Bye-Bye Bourbaki: Paradigm Shifts in Mathematics". The Mathematical Gazette. 79 (486). The Mathematical Association: 496–98. doi:10.2307/3618076. JSTOR 3618076. S2CID 125418650.

Barany, Michael (24 March 2021). "The Mathematical Pranksters behind Nicolas Bourbaki". JSTOR Daily. Retrieved 5 January 2024.

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"The Bumpy Road to the First Bourbaki Congress". neverendingbooks.org. 22 October 2009.
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Kantor, Jean-Michel (2011). "Bourbaki's Structures and Structuralism". Mathematical Intelligencer. 33 (1): 1. doi:10.1007/s00283-010-9173-4.

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O'Connor, John J.; Robertson, Edmund F. (December 2005). "Bourbaki: the pre-war years". Mactutor.

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Corry 2009, pp. 38–51. Corry, Leo (2009). "Writing the Ultimate Mathematical Textbook: Nicolas Bourbaki's Éléments de mathématique". In Robson, Eleanor; Stedall, Jacqueline (eds.). The Oxford Handbook of the History of Mathematics. Oxford University Press. pp. 565–87. ISBN 978-0199213122.
Corry, Leo (1997). "The Origins of Eternal Truth in Modern Mathematics: Hilbert to Bourbaki and Beyond". Science in Context. 10 (2): 279. doi:10.1017/S0269889700002659. S2CID 54803469.
Corry 2004, p. 309. Corry, Leo (2004). "Nicolas Bourbaki: Theory of Structures". Modern Algebra and the Rise of Mathematical Structures. Springer. pp. 289–338. ISBN 978-3764370022.
Corry 2004, p. 320. Corry, Leo (2004). "Nicolas Bourbaki: Theory of Structures". Modern Algebra and the Rise of Mathematical Structures. Springer. pp. 289–338. ISBN 978-3764370022.
Corry 2004, pp. 303–05. Corry, Leo (2004). "Nicolas Bourbaki: Theory of Structures". Modern Algebra and the Rise of Mathematical Structures. Springer. pp. 289–338. ISBN 978-3764370022.
Corry 2009, pp. 581–584. Corry, Leo (2009). "Writing the Ultimate Mathematical Textbook: Nicolas Bourbaki's Éléments de mathématique". In Robson, Eleanor; Stedall, Jacqueline (eds.). The Oxford Handbook of the History of Mathematics. Oxford University Press. pp. 565–87. ISBN 978-0199213122.
Corry, Leo (September 1992). "Nicolas Bourbaki and the concept of Mathematical Structure". Synthese. 92 (3): 328–32. doi:10.1007/BF00414286. S2CID 16981077.
Corry, Leo (2001). "Mathematical Structures from Hilbert to Bourbaki: The Evolution of an Image of Mathematics". In Bottazzini, Umberto; Dalmedico, Amy Dahan (eds.). Changing Images in Mathematics: From the French Revolution to the New Millennium. Routledge. pp. 1–3, 17–18. ISBN 978-0415868273.
Corry 2004, p. 338. Corry, Leo (2004). "Nicolas Bourbaki: Theory of Structures". Modern Algebra and the Rise of Mathematical Structures. Springer. pp. 289–338. ISBN 978-3764370022.
Corry 2009, pp. 25–31. Corry, Leo (2009). "Writing the Ultimate Mathematical Textbook: Nicolas Bourbaki's Éléments de mathématique". In Robson, Eleanor; Stedall, Jacqueline (eds.). The Oxford Handbook of the History of Mathematics. Oxford University Press. pp. 565–87. ISBN 978-0199213122.

theconversation.com

Gunderman, David (7 December 2019). "Nicolas Bourbaki: The greatest mathematician who never was". The Conversation. Retrieved 2019-12-14.

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McCleary, John (December 10, 2004). "Bourbaki and Algebraic Topology" (PDF). math.vassar.edu. Archived from the original (PDF) on October 30, 2006.

web.archive.org

McCleary, John (December 10, 2004). "Bourbaki and Algebraic Topology" (PDF). math.vassar.edu. Archived from the original (PDF) on October 30, 2006.
"Sir Michael Atiyah shares memory of Fields win". International Congress of Mathematicians. 3 August 2018. Archived from the original on 22 September 2019. Retrieved 15 February 2020.
Grothendieck, Alexander. "Crafoord Prize letter, English translation" (PDF). Archived from the original on 6 January 2006. Retrieved 2005-06-17.{{cite web}}: CS1 maint: bot: original URL status unknown (link)

wikipedia.org

In a 2011 letter to the Mathematical Intelligencer, the mathematician Jean-Michel Kantor[de] was harshly critical of the notion that Bourbaki's mathematical structures had anything to do with the structuralism of the humanities, rejecting the connections made by Aczel in 2006.^[196] Kantor observed that the two versions of structuralism had developed independently of one another, and that Lévi-Strauss' conception of structure had derived from the Prague circle of linguistics, not from Bourbaki. On the other hand, Aczel had already acknowledged the linguistic origins of the structuralism of the humanities.^[197] In 1997 David Aubin had pre-emptively moderated both extremes, observing that the two schools of thought had distinct origins, but also had certain interactions and "common features". Aubin also cited Lévi-Strauss to show that the latter had reached certain conclusions in anthropology independently of Weil's mathematical help, although Weil's help provided confirmation of Lévi-Strauss' conclusions.^[198] This undermined Aczel's argument that mathematics and Bourbaki played an important role in the development of structuralism in the humanities, although Aubin also stressed that the two schools had some collaboration.

worldcat.org

Mathias, A. R. D. (2002). "A Term of Length 4 523 659 424 929". Synthese. 133 (1/2): 75–86. doi:10.1023/A:1020827725055. ISSN 0039-7857. JSTOR 20117295. Retrieved 5 January 2024. ABSTRACT. Bourbaki suggest that their definition of the number 1 runs to some tens of thousands of symbols. We show that that is a considerable under-estimate, the true number of symbols being that in the title, not counting 1 179 618 517 981 links between symbols that are needed to disambiguate the whole expression.

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Nicolas Bourbaki (English Wikipedia)

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