On Mon, Jun 28, 2021 at 8:58 AM Jason Resch <[email protected]> wrote:
> On Sun, Jun 27, 2021, 5:34 PM Bruce Kellett <[email protected]> wrote: > >> On Mon, Jun 28, 2021 at 12:08 AM Tomas Pales <[email protected]> >> wrote: >> >>> On Sunday, June 27, 2021 at 2:29:38 PM UTC+2 Bruce wrote: >>> >>>> >>>> The problem with that is that it is dependent on the language in which >>>> you express things. The string 'amcjdhapihrib;f' is quite comples. But I >>>> can define Z = amcjdhapihrib;f', and Z is algorithmically much simpler. >>>> Kolmogorov complexity is a useful concept only if you compare things in the >>>> same language. And there is no unique language in which to describe >>>> nature. >>>> >>> >>> Complexity is a property of structure, so if we want to explore >>> complexity of real-world objects indirectly, that is, in representations of >>> the real-world objects rather than in the real-world objects themselves, we >>> must make sure that the representations preserve the structure and thus the >>> complexity of the real-world objects. >>> >> >> >> That's known as begging the question. >> >> >> >>> So there must be some systematic, isomorphic mapping between the >>> real-world objects and their representations - a common language for >>> describing (representing) the real world objects. It seems that one such >>> language could be binary strings of 0s and 1s, at least this approach has >>> been very successful in digital technology. >>> >> >> Digital technology is not fundamental physics. >> >>> Another way of isomorphic representation of the structure of real-world >>> objects that is even more similar to the structure of real-world objects is >>> set theory since real-world objects are collections of collections of >>> collections etc. >>> >> >> Is there a set that contains all sets? >> > > There's is a short computer program that executes all other computer > programs: > > https://youtu.be/T1Ogwa76yQo > > It's distribution will be of a type where shorter programs are > exponentially more frequent the shorter the description is. This accounts > for the law of parsimony (assuming we belong to such an ensemble). > As I said, that is known as begging the question. Bruce -- 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/CAFxXSLRPKLpeS4hkmKEscNzoyOM8nQpHXrOs8UiAmh0GFj4GWw%40mail.gmail.com.
