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Brain Injury Turns Man Into Math Genius
mpicpp sends in the story of Jason Padgett, a man who developed extraordinary mathematical abilities as the result of brain trauma when he was attacked outside a bar. "Padgett, a furniture salesman from Tacoma, Wash., who had very little interest in academics, developed the ability to visualize complex mathematical objects and physics concepts intuitively. The injury, while devastating, seems to have unlocked part of his brain that makes everything in his world appear to have a mathematical structure 'I see shapes and angles everywhere in real life' — from the geometry of a rainbow, to the fractals in water spiraling down a drain, Padgett told Live Science." "He describes his vision as 'discrete picture frames with a line connecting them, but still at real speed.' If you think of vision as the brain taking pictures all the time and smoothing them into a video, it's as though Padgett sees the frames without the smoothing. "
No, the media calls him math genius because he calls himself a math genius. Also, he believe PI has an end.
from the neurologist's preliminary report:
We studied the patient JP who has exceptional abilities to draw complex geometrical images by hand and a form of acquired synesthesia for mathematical formulas and objects, which he perceives as geometrical figures. JP sees all smooth curvatures as discrete lines, similarly regardless of scale. We carried out two preliminary investigations to establish the perceptual nature of synesthetic experience and to investigate the neural basis of this phenomenon. In a functional magnetic resonance imaging (fMRI) study, image-inducing formulas produced larger fMRI responses than non-image inducing formulas in the left temporal, parietal and frontal lobes. Thus our main finding is that the activation associated with his experience of complex geometrical images emerging from mathematical formulas is restricted to the left hemisphere.
The Kruger Dunning explains most post on
I don't know if the guy is full of shit or not... but, I did my own google search.
I found that:
1. He wrote a book that was well received about his injury, though complaints were that it was overly wordy. There were several people that claimed to be mathematicians that reviewed it and said his area of specialty was fractal geometry and that he was so specialized it was uninteresting to them. He was basically obsessed with 1 aspect of geometry.
2. He is an artist, and makes Fractal art. Not that his stuff is that incredible but I doubt a furniture salesman could pull this off. http://fineartamerica.com/prof...
3. Here's photos of him. One includes his doctor: http://www.struckbygenius.com/...
4. That doctors name is Darold Treffert who appears to be am expert on Savant Syndrome. http://en.wikipedia.org/wiki/D...
So it appears to me that the guy actually did develop some Savant abilities. I don't know if he got them from an injury or not. But it appears that those abilities are so specialized that they may not be useful in an academic sense. If he can visualize incredibly complex geometries but can not, for example, do long division, his skill wouldn't really lead him to write a lot of papers.
You cannot because it's not possible. A 'base' is the number of unique symbols in the number system. You can't have partial symbols; you can have 3 symbols for base 3, and 4 symbols for base 4, but you cannot have 3.1415xxx symbols for base Pi.
You might as well ask what it would be like to have a "base yellow" number system or a "base CmdrTaco" number system. Meaningless.
Wrong, you can have non-integral bases, including base Pi. Your positions each represent Pi, Pi^2, Pi^3 etc