mkz
The World of Blind Mathematicians - http://www.ams.org/notices...
"He notes that most blind mathematicians are or were working in geometry. But why geometry, the most visual of all areas of mathematics? “It’s pure thinking,” Giroux replied. He explained that, for example, in analysis, one has to do calculations in which one keeps track line-by-line of what one is doing. This is difficult in Braille: To write, one must punch holes in the paper, and to read one must turn the paper over and touch the holes. Thus long strings of calculations are hard to keep track of ... By contrast, “in geometry, the information is very concentrated, it’s something you can keep in mind,” Giroux said. What he keeps in mind is rather mysterious" - mkz
"Sossinski points out that it is not so suprising that many blind mathematicians work in geometry. The spatial ability of a sighted person is based on the brain analyzing a two-dimensional image, projected onto the retina, of the three-dimensional world, while the spatial ability of a blind person is based on the brain analyzing information obtained through the senses of touch and hearing. In both cases, the brain creates flexible methods of spatial representation based on information from the senses. Sossinski points out that studies of blind people who have regained their sight show that the ability to perceive certain fundamental topological structures, like how many holes something has, are probably inborn. “So a blind person who has regained his eyesight can at first not distinguish between a square and a circle,” Sossinski writes. “He just sees their topological equivalence. On the other hand he sees immediately that a torus is not a ball.”" - mkz
"Some blind mathematicians actually read TEX source files directly; Giroux does so using a refreshable Braille touch-screen. He said it is more comfortable to have an audio recording of a paper, but before having a recording made, he wants to know whether the paper is really interesting to him. Reading TEX files provides quick and direct access to the documents. Of course, TEX files are meant to be read by computers rather than humans and are therefore cumbersome and verbose. Nevertheless, Giroux said that their easy availability through electronic preprint servers and journals represents “huge progress” in his ability to stay in touch with current research. Books are a bigger problem than papers; although TEX is the standard way of publishing mathematics books, obtaining the TEX files from publishers is not a straightforward process." - mkz
"mathematics is in some ways more accessible for the blind than other professions. One reason is that mathematics requires less reading because mathematical writing is compact compared to other kinds of writing. “In mathematics,” Salinas noted, “you read a couple of pages and get a lot of food for thought.”" - mkz
"Bernard Morin is a mathematician, blind since childhood, former Fellow at the Institute for Advanced Study, Princeton University. Professor Morin was interested in the ways in which the Optiverse differs from his Morin eversion, but he could not understand the difference, because he could not see the computer-rendered Optiverse movie." - Uc boyutlu yaziciyla sekilleri cikartmislar, elleriyle dokunarak anlamis, filmi seyretmek yerine. Yukaridaki foto da bu seriden alinmaymis galiba. - http://emsh.calarts.edu/~mathar... - mkz
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Iknci paragraph cok ilginc geldi..Giroux baba adam, cok degerli isleri var, cok da saygi goren birisi. Ote yandan, yaklasik 11 yil once iddia ettigi ama tam ispatini yazmamakta direttigi bir sonuc yuzunden huysuzlanan bir suru insan biliyorum. Bu sonuc belki su an itibariyle 200 civarinda makalede temel kabul. Sonuc hakkinda tek soyleyecegim hem cok dogal hem de cok sok edici olmasi. Ne yalan soyleyeyim ben az biraz detaylari anlamaya calsitigim yillar once, bunu anca kor birisi dusunebilirdi demistim. Ispatin nasil olacagi konusunda yazdigi 10 sayfalik bir not var ama kesinlikle bazi kisimlari aciklama gerektiriyor. Cok kafali bir suru insan cokca vakitlerini ayirip ugrasmalarina ragmen bu detaylari dolduramadilar.... Riemann, Gauss ve daha bir cok insana atfedilen bir kisim sonuclarin simdiki ispatlari/tam ispatlari cok sonradan gelistirilmis ispatlar. Insan omru kisa guzel fikirleri cesaretle soylemek lazim. Ama tum detaylari gormek isteyen cok insan var simdi.... - Abid Balik
Niye doldurmuyormuş boşlukları, bir şey diyor mu? - mkz
"bunu anca kor birisi dusunebilirdi" clara'nın dediğine destek olmuş. - mkz
kendisine soran birisine "sonuctan kesinlikle suphem yok ama kisa/makul bi yazma yolu goremiyorum" demis. - Abid Balik