Re: Raatikainen's critique of Chaitin

From: Torkel Franzen (torkel_at_sm.luth.se)
Date: 09/02/04 

Date: 02 Sep 2004 13:24:34 +0200

erayo@bilkent.edu.tr (Eray Ozkural exa) writes:

> Example, please?

  I see that I misread your answer. You said that Omega is Chaitin
random, and therefore its information content is infinite. Surely in
this statement, you did not by the information content of an infinite
sequence actually mean the limit of H(r_n) as n->infinity?

Relevant Pages

  • Re: Raatikainens critique of Chaitin
    ... I see that I misread your answer. ... You said that Omega is Chaitin ... and therefore its information content is infinite. ...
    (sci.math)
  • Re: Uncountability of the Rationals?
    ... My rules don't say such a set doesn't exist - all countably infinite ... The set omega still exists and is the ... TO intends his ICI ... TO states that "tav" could represent any set, ...
    (sci.math)
  • Re: Cantor Confusion
    ... And the number of digits is omega. ... why I insist that an actually infinite set of natural numbers must ... If your axiom contradicts this, ...
    (sci.math)
  • Re: Galileos Paradox
    ... He uses the assumption that any infinite number can have a finite number ... is NOT talking about ordinals such as omega. ... includes not just first order logic). ... at the ultrafilter approaches - all in classical mathematics. ...
    (sci.math)
  • Re: Raatikainens critique of Chaitin
    ... diophantine equation does not make the basic principle that it is ... > as recursively enumerable bi-immunity. ... > not contain an infinite subset in C, and N-S is also infinite and also ... > and wasn't a novelty introduced by Chaitin. ...
    (sci.math)