LGB
Hi. This is just a note to say this cat. is no longer in use. Regards. --Kleinzach 15:24, 12 January 2009 (UTC)
Infinitesimals in Russian wiki edit
Hi Leonid, I noticed your edit at the Russian version of the infinitesimals page. I don't have a Russian keyboard so it is hard for me to comment there (I have to use all sorts of tricks using Google Translate). Note that the historical section there is full of errors. The most fundamental error is the attitude toward infinitesimals as if there were a consensus that they are an inconsistent notion. The Russian page is written as if Robinson's theory did not exist! It is not as though there is no Russian literature on the subject. Even before Robinson, Luzin took a much more sympathetic attitude toward infinitesimals, as evidenced by his letters to Vygodskii written in the 1930s. In the 1980, the mathematician and historian Medvedev wrote an article where he asks the key question: how could infinitesimals have served as a basis for the magnificent edifice of one of the most important disciplines in mathematics, if they are viewed as an inconsistent notion? Furthermore, the historical section in the Russian article is full of factual errors. It mentions Michel Rolle's criticism of infinitesimals, but does not mention his errors in his campaign against infinitesimals, when he claimed that a certain algebraic curve has local minima which are not detected by Leibniz's method, whereas in reality the points in question were singular points with a vertical asymptote. This was exposed at the time by Varignon and discussed recently in an article by Blay. I think the readers of the Russian wiki are at a distinct disadvantage with regard to this fascinating area, but I can't change things if other editors there are not more sympathetic than they have been. Tkuvho (talk) 07:13, 1 May 2011 (UTC)
- I transfered the discussion to Russian Wiki: see here, you can reply me in English. LGB (talk) 10:38, 1 May 2011 (UTC)
- I don't see any new comments there. Tkuvho (talk) 10:45, 1 May 2011 (UTC)
- Incidentally, it is not "strange" at all that Lagrange used infinitesimals: once one realizes that they are not self-contradictory, there is no grounds at all for thinking that this was strange. What's strange is that, fifty years after Robinson, Russian wiki still thinks infinitesimals are contradictory--while at the same time, the Russian article on non-standard analysis says just the opposite. Tkuvho (talk) 10:48, 1 May 2011 (UTC)
October 2020 edit
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