On Saturday, July 08, 2023, at 2:32 PM, James Bowery wrote:
> Here's the critical difference in a nutshell:


> Shannon Information regards the first billion bits of the number Pi to be 
> random. That is to say, there is no description of those bits in terms of 
> Shannon Information that is shorter than a billion bits.


> Algorithmic Information regards the first billion bits of the number Pi to be 
> the shortest algorithm that outputs that precise sequence of bits.



This writeup is very informative James and thanks for anticipating some 
questions before I had to ask them.
AIT/AIC/AIXI is not inconsistent with my own research. Back around 1990 I spent 
a couple years in independent compression research and was unawares of AIT. The 
main research vector I ended up at was something I simply called mathematical 
compression, for lack of a better term.

Now I’m still at the crossroads between lossy and lossless with exceptions to 
Ockham's Razor so your write-ups are very helpful… also coincidentally I’m 
personally struggling with the societal truth problems and AIC alignment does 
appear to be a valid approach to these contemporary issues.

I do wonder though what criteria would be used to discern amongst various 
computable models of AIXI assuming there is spectrum of them. I already have a 
model for that but I wonder what the specialists in the field say...

John
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