Timeline for Were Bourbaki committed to set-theoretical reductionism?
Current License: CC BY-SA 3.0
16 events
| when toggle format | what | by | license | comment | |
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| Mar 25, 2019 at 23:50 | review | Close votes | |||
| Mar 26, 2019 at 1:29 | |||||
| Jan 6, 2018 at 17:19 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
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| Mar 3, 2010 at 18:44 | answer | added | Seamus | timeline score: 5 | |
| Feb 23, 2010 at 18:52 | comment | added | kakaz | This is not an answer to Your question, and probably it will not be even interesting for You, but I presume it is definitely worth of reading, and it has Bourbaki word in it. In fact it is about bourbacism but from very different point of view;-) which I share;-) So, Arnold says: pauli.uni-muenster.de/~munsteg/arnold.html | |
| Feb 23, 2010 at 16:29 | answer | added | Joel David Hamkins | timeline score: 18 | |
| Feb 10, 2010 at 17:57 | history | edited | Jonas Meyer |
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| Jan 10, 2010 at 17:33 | vote | accept | Jeremy Shipley | ||
| Jan 10, 2010 at 16:54 | comment | added | Tom Leinster | I think this is a good question. Philosophy or not, it's mathematical enough that people are responding with interesting and mathematically substantial answers. | |
| Jan 10, 2010 at 12:32 | answer | added | Pete L. Clark | timeline score: 29 | |
| Jan 10, 2010 at 12:24 | answer | added | Harry Gindi | timeline score: 12 | |
| Jan 10, 2010 at 11:35 | comment | added | Harry Gindi | Bourbaki's definition of a universal construction in fact is equivalent to the adjoint functor theorem cf. [Categories Mac Lane p.136]. It should be noted that Bourbaki did not place much importance in Theory of Sets and it was in fact written first as a pamphlet sans proof as a foundation for their algebra and topology books. In fact, Bourbaki's view of "structure" was very much a categorical view stated in the old language of sets. Note that category theory had just been discovered and there was no theory of topoi to formalize mathematics in. Sets were the only game in town, so to speak. | |
| Jan 10, 2010 at 10:56 | answer | added | Neel Krishnaswami | timeline score: 10 | |
| Jan 10, 2010 at 9:07 | history | edited | Jeremy Shipley | CC BY-SA 2.5 |
added a missing "li" tag
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| Jan 10, 2010 at 8:58 | comment | added | Qiaochu Yuan | I am not certain that philosophy of mathematics is entirely appropriate for MO, as it is (necessarily) somewhat subjective and argumentative. But I'll wait and see what others think. | |
| Jan 10, 2010 at 8:47 | comment | added | Jeremy Shipley | I also have Cartier's interview "The Silence of Bourbaki" and am just now reading... seems to support reductionism ('dogmatism" in Cartier's terms) especially for the first generation. | |
| Jan 10, 2010 at 8:17 | history | asked | Jeremy Shipley | CC BY-SA 2.5 |