Summary 8: Self-Similarity.

abarim-publications.com | Nov 30th -0001
Every textbook reporting on the Koch Snow Flake will demand that if indeed we continue this process at infinitum we will add length to the outline at infinitum, hence producing an infinitely long line. And yes, theoretically this is true (). But with every step the added triangle gets smaller and smaller, and in the real world there is no such thing as infinitely small. After a great many steps the sides of the smallest triangle will be one quantum long, and no smaller triangle can be added. Generating random numbers is somewhat of a sport among mathematicians. Because how does one randomness? There's no way! And so they cheat. They take some kind of infinite number sequence (like the number pi) and tell a computer to select decimals at certain intervals (like every fourth digit, or seventh, or whatever). Pi is a number without inner structure and its digits are random (for as far as we know now), so out comes a random number sequence. But! this is not real randomness because any other smart computer could analyze the result and blow the whistle: This is not random, this is random. And as the secret is out, the rest of the pseudo-random sequence can be predicted. If the second computer divides every outcome of the first by the way it generates the pseudo-random sequence, it would spew out 1 every cycle. That violates the prime definition of randomness, and the sequence is not random. True randomness can not be divided by something other than itself. If you don't care much about numbers, skip ahead to a formal decapitation of all logical systems:

Self-similarity is a structure repeated on a different level of complexity or at a different scale.
Numbers can not fully represent reality because (1) they are too accurate, and (2) they can't mimic the randomness that comes from the freedom which is the most fundamental principle of nature.

Original Page: http://www.abarim-publications.com/SelfSimilarity.html

Shared from Read It Later

Elyssa Durant, Ed.M.

United States of America

Forgive typos! iBLAME iPhone

Posted via email from Whistleblower