Algorithmic Randomness is very clear:

A random string of bits cannot be represented as a program in fewer bits.

On Sat, Nov 20, 2021 at 12:19 PM Jim Bromer <[email protected]> wrote:

> So if I see a string of counting numbers with a length greater than 3 or
> 4, I would conclude that those numbers are not "random" based on my
> experiences or samplings of strings of numbers, the psychology of
> elementary number theory and my awareness from thinking about this stuff.
> But that is psychology  - sociology - and the familiarity of the
> sociological use of mathematics. It would not be based on pure mathematical
> analysis or something Platonic like that.
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