Latest on abc | Not Even Wrong - http://www.math.columbia.edu/~woit...
Dec 20, 2013
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"In case you haven’t been following this story, “abc” refers to a famous conjecture in number theory, for which Shin Mochizuki claimed last year (see here) to have found a proof. His argument for abc involves a new set of ideas he has developed that he calls “Inter-Universal Teichmuller Theory” (IUTeich). These are explained in a set of four papers with a total length over 500 pages. . . . One can characterize the reaction to date of most experts to these papers as bafflement: what Mochizuki is doing is just so far removed from what is known and understood by the experts that they have no way of evaluating whether or not he has a new idea that solves the abc problem."
- mkz
"In principle one should just be able to go line by line through the four papers and check the arguments, but if one tries this, one runs into the problem that they depend on a long list of “preparatory papers”, which run to yet another set of more than 500 pages. So, one is faced with an intricate argument of over 1000 pages, involving all sorts of unfamiliar material. That people have thrown up their hands after struggling with this for a while, deciding that it would take years to figure out, is not surprising."
- mkz
İnsanlara anlatma çalışmalarını özetlemiş, enteresan: http://www.kurims.kyoto-u.ac.jp/~motizu...
- mkz
Fransiz felsefeciler gibi ===> "In principle one should just be able to go line by line through the four papers and check the arguments, but if one tries this, one runs into the problem that they depend on a long list of “preparatory papers”, which run to yet another set of more than 500 pages. So, one is faced with an intricate argument of over 1000 pages, involving all sorts of unfamiliar material."
- f(z)
Biraz sevimsiz tonlu muhabbetler dönmüştü geçen yıl (eg http://mathbabe.org/2012...), üstteki yorumdaki PDF'in başında onlara bol italikli "size cevap vermiyorum" cevabı vermiş.
- mkz
"Regardless of the eventual correctness of the paper in all detail, this is an earnest attempt by an esteemed colleague to present a serious vision of mathematics. . . . Some might ask why I, for example, don't just read the papers carefully myself. Well, as you know, for most people chugging along amid the cares of everyday life, it's quite painful to read long difficult papers without the aid of human discussion and interaction. Mochizuki, by the way, is one of those rare people gifted with the incredible powers of concentration and stamina necessary to sit and do mathematics for long periods in solitude. This was true ever since he was a young student. Perhaps this is a key reason he can't understand why the rest of us are so reluctant." - http://mathoverflow.net/questio... [Arada bunu koymuştu bir de, yıllık "progress report" olarak: http://www.kurims.kyoto-u.ac.jp/~motizu...]
- mkz