On Wed, Mar 10, 2021 at 5:56 PM Jason Resch <jasonre...@gmail.com> wrote:

*> I believe Chaitin has a definition of randomness that works for finite
> strings. If I remember correctly it has to do with the length of the
> shortest program that outputs the string being longer than the string
> itself.*
>

Yes, but that definition has one severe disadvantage. Mathematicians can
prove that they are an infinite number of finite strings of X length in
which there are no program shorter than X that could produce them, however
there is no way to prove in general that one particular string of length X
is of that nature.
.
John K Clark   See what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>

.

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