I think Matt's last post is wrong about the idea of the randomness of a string but I am really supposed to be working. I think John's abstract example would constitute an example of what I was thinking about but there are also other exemplars, both abstract and explicit. Jim Bromer
On Thu, Oct 11, 2018 at 1:37 PM Matt Mahoney via AGI <[email protected]> wrote: > > On Thu, Oct 11, 2018 at 12:38 PM John Rose <[email protected]> wrote: > > OK, what then is between a compression agents perspective (or any agent for > > that matter) and randomness? Including shades of randomness to relatively > > "pure" randomness. > > A string is random if there is no shorter description of the string. > Obviously this depends on which language you use to write > descriptions. Formally, a description is a program that outputs the > string. There are no "shades" of randomness. A string is random or > not, but there is no general algorithm to distinguish them in any > language. If there were, then AIXI and thus general intelligence would > be computable. > > > From an information theoretic (and thermodynamic) viewpoint in your mind > > what happens when you see the symbol for infinity? Semi-quantitatively > > describe the thought processes? > > The same thing that happens when you see any other symbols like "2" or > "+". Mathematics is the art of discovering rules for manipulating > symbols that help us make real world predictions. > > -- > -- Matt Mahoney, [email protected] ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T55454c75265cabe2-M723e7bca4a32e8680702e9f9 Delivery options: https://agi.topicbox.com/groups/agi/subscription
