On Wed, Mar 10, 2021 at 5:56 PM Jason Resch <[email protected]> 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> . -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv2D-k2%3DA%2BY%3DT8SHQm-tgF7fpwmxRYvrc1Dt5VgQJ6CD2A%40mail.gmail.com.

