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-M04a2c14f34e03af08f4f14fe Delivery options: https://agi.topicbox.com/groups/agi/subscription
