Fantastic book. The best reading this year so far. The book is centered around recursive auto references; those generates twisted hierarchies, which, according to the author, can explain much about Intelligence, Consciousness, DNA, symbols and meaning. The book spans over Zen and Zenone, Bach and Cage, Escher and Magritte, Gödel and Turing, Cantor and Russel; I loved every-single page. Hofstadter investigates all these aspects (and more even) at very different levels. The auto-references allow him to jump up and down, and move in stimulating vortexes, culminating, right before a Ricercar in 6 voices, in a digression about free will, life and death at various levels. How great it would be to have a digression of the very same type on sex!! A Recursive Iterative Compulsory Excitation Running Circles And Repeating
2 comments:
Cobra, This is McKenzie...
A friend of mine called me today and made me a mathematical game. I spend a couple of hours trying to understand with no success...
So, take a calculator, like the windows one, and make some products such as 3*6*5*2*7*9*8*5 until you have a large enough number. Then see the number, in this case 453600. Then you choose a digit and read to your friend all digits starting from left or right and skipping the one you've chosen. Say you choose the 3, then you read 45600. You friend tells you. The number you've chosen is...3 How did he guess it? He would have added up all number 4+5+6=15, then he sees which is the nearest multiple of 9, in this case is 18, the difference is 3.
What is the maths behind these? It has to do with the fact that for any number which can be divided by 9, the sum of its digits is a multiple of 9...
Cobra, can you find out?
J.
Hey McKenzie, I found the demonstration of your problem, but it does not fit here. I will publish a new post just for you.
COBRA
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