Dangerous Knowledge

More soberly, however... As a kid, I used to attempt to think about 'forever'... Very scary; I can see why Cantor's contemporaries denigrated his work... Thinking about 'forever' also tended to create doubts about the bible 'god' version, in my mind... That deity seemed way too 'finite'...

The visual of the point with infinite radiating lines was so strongly reminiscent of basket-weaving that it reminded me of a "Scientific American" article [about 8-10 years ago, I think...] that attempted to use the illustration of a tailor sewing a sleeve on a lined garment as an example of the manner in which they - at that time - believed space can 'loop' in upon itself... Unfortunately, since the authors had NO clue as to the actual techniques used, well - I certainly wouldn't want to wear a garment made by them. I was amazed that they couldn't see the huge flaws in their mental imagery, as I go thru a similar process every time I make a garment - and I am at the point that I 'drape' the person and create from blank fabric - to create quickly and effectively, I have to mentally 'see' each piece, 'see' it attach to the next piece and follow its progress as the garment is 'turned' - or fails to 'turn'... All of which usually must happen before I ever actually begin sewing...

Which has nothing to do with mathematics [I think?] and Cantor, but has a great deal to do with the 'visualization' process of creativity... Do mathematicians use visual imagery??? I guess so; since the [visual effect of the] Alps figured prominently in his theories... Zid

frankiespeakin

Zid,

What I like about these videos is that you don't have to be really good in math to understand them.

Do mathematicians use visual imagery??? I guess so; since the [visual effect of the] Alps figured prominently in his theories... Zid

Yes I do believe visualization is very important I know for myself it is and I remember reading that Mandeldrolt(fractals) did a lot of visualization. You might like this seeing that you like to design clothing as well as other things.

http://en.wikipedia.org/wiki/Mandelbrot_set

Mandelbrot set

From Wikipedia, the free encyclopedia

Jump to: navigation, search Initial image of a Mandelbrot set zoom sequence with continuously coloured environment

In mathematics the Mandelbrot set, named after Benoît Mandelbrot, is a set of points in the complex plane, the boundary of which forms a fractal. Mathematically the Mandelbrot set can be defined as the set of complex values of c for which the orbit of 0 under iteration of the complex quadratic polynomialz n+1 = z n 2 + c remains bounded. [1] That is, a complex number, c, is in the Mandelbrot set if, when starting with z 0 =0 and applying the iteration repeatedly, the absolute value of z n never exceeds a certain number (that number depends on c) however large n gets.

simple definition. Benoît Mandelbrot and others worked hard to communicate this area of mathematics to the public.

ziddina

Oooo, I love fractals!!! I think they're significant in the science of geology; certain types of rock forms behave certain ways due to their crystalline structure - such as granites forming rounded forms due to erosion; the "Giant's Causeway" type of formation due to the nature of the rocks it is made from; sandstone [not crystalline, but...] being carved into beautiful sculptures due to the bonded granular nature of its material...

I'm not CERtain that these are examples of 'fractals'; it is how I perceived the use of fractals in geology... Especially applies to the general appearance of certain mountain ranges from a distance due to the materials they are composed of.... Mt Evans blockish and squared [granite]; the San Juans like sharks' teeth [volcanic ash and flows], tho both of those examples owe something of their modern appearance to recent glaciation, too... Zid

poppers

Marked - thanks

frankiespeakin

Interesting use of mathmatics

http://www.youtube.com/watch?v=whp2iRNsntg

Dangerous Knowledge

The Story of Maths (Episode 2 - part 1 of 3) - BBC The Genius of the East

The Story of Maths (Episode 2 - part 2 of 3) - BBC The Genius of the East

The Story of Maths (Episode 2 - part 3 of 3) - BBC The Genius of the East

Mandelbrot set

From Wikipedia, the free encyclopedia

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