Re: [agi] All Compression is Lossy, More or Less

[Jim Bromer]

Randomness is not an strong mathematical object because it cannot be defined in 
strong mathematical terms. All the information entropy talk is informal 
arm-chair gab. Randomness can only be defined relative to a definition of a 
subset of all possible orderings for a finite set or collection of objects. 
(And it might be applied to a sampling of a non-discrete field as well since it 
is not a foundation object of rational numbers or anything like that.) For 
instance the string of a listing of counting numbers is no more likely than any 
other possible sequence of numbers. One might define randomness relative to 
some statistical set of objects, or to some subset of orderings (each one of 
which might, if useful, be valued as being more or less relatively random 
according to some definition.) 
 I wonder if this mathematical philosophical insight might actually be useful.  
I may try writing this for some mathematicians some time.
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Artificial General Intelligence List: AGI
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