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Talk:Alexander Grothendieck

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This is an old revision of this page, as edited by Charles Matthews (talk | contribs) at 08:04, 12 March 2005 (comment). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

(See old discussion atTalk:Alexander_Grothendieck/Major_topics)

Well, let's write now all these articles about his (and other people's) work :)

Thank you, Charles Matthews for your great article and comments. Still, I think claiming that Grothendieck's work is of axiomatic kind is precise only when referring to certain period. There is nothing about axioms is Esquisse. It's normal that style changes with time and I think it would be right if you corected this.

You wrote: The style of the mathematics is very distant from Kronecker's, though. It is axiomatic, and claims descent from David Hilbert's approach; as interpreted by Nicolas Bourbaki. Its influence spilled over...

I can't correct this because there is some error with this sentence. What means 'the mathematics'? Did you mean 'his mathematics of that period' which is OK for me or 'his mathematics' (which I consider as factual error) --Ilya 18:13, 15 Dec 2003 (UTC)

It's a fair comment: it is what Jean Dieudonné always said about him, but I know that it isn't really the whole story. So I have made some changes.

Charles Matthews 19:11, 15 Dec 2003 (UTC)

In what sense is Grothendieck's work "scarcely credible"? This needs some elaboration and appears to be personal opinion. - Gauge 04:44, 12 Mar 2005 (UTC)

The achievement is scarcely credible, if you simply look at how much mathematics came out of IHES in the period 1960-1967, say. The SGA series is a vast enterprise. Charles Matthews 08:04, 12 Mar 2005 (UTC)