I'm intrigued by your reply to my "Base Infinity", though still somewhat unfamiliar with the mathematical ideas of chaos and complexity.
In Base 10 for example, with its ten distinct symbols irreducible to each other, the new symbols successively created on adding 1 to each of 0, 1, 2, 3, etc, are arbitrary and unpredictable. So thus far the system is chaotic. 0nly when we come to start doubling up by adding 1 to 9 to get 10 do rules supervene and things get orderly. So in base infinity chaos always rules since every new symbol is unpredictable and can't be determined by any previous one. Right?
(Does that also apply to donut as a symbol, or are you thinking of some kind of torus structure?)
I'm intrigued by your reply to my "Base Infinity", though still somewhat unfamiliar with the mathematical ideas of chaos and complexity.
In Base 10 for example, with its ten distinct symbols irreducible to each other, the new symbols successively created on adding 1 to each of 0, 1, 2, 3, etc, are arbitrary and unpredictable. So thus far the system is chaotic. 0nly when we come to start doubling up by adding 1 to 9 to get 10 do rules supervene and things get orderly. So in base infinity chaos always rules since every new symbol is unpredictable and can't be determined by any previous one. Right?
(Does that also apply to donut as a symbol, or are you thinking of some kind of torus structure?)
Chris G