Re: Raatikainen's critique of Chaitin

From: Torkel Franzen (torkel_at_sm.luth.se)
Date: 09/05/04


Date: 05 Sep 2004 08:13:03 +0200

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

> So, indeed, the theorems of a theory can have higher algorithmic
> complexity than that of the axioms, but by only an additive factor if
> we fix the inference rules.

  The complexity of n=n goes to infinity with n.



Relevant Pages

  • Re: Raatikainens critique of Chaitin
    ... > Since I don't understand what you mean by 'universality of algorithmic ... > complexity' I can't tell. ... We don't even need these 'indexing arguments' ... > of its strength in any reasonable sense: fix a theory T and vary the ...
    (comp.theory)
  • Re: Raatikainens critique of Chaitin
    ... > Since I don't understand what you mean by 'universality of algorithmic ... > complexity' I can't tell. ... We don't even need these 'indexing arguments' ... > of its strength in any reasonable sense: fix a theory T and vary the ...
    (sci.math)
  • Re: Raatikainens critique of Chaitin
    ... entropy is a real number. ... We have been talking about Kolmogorov/Chaitin complexity all along, ... > have higher algorithmic complexity than the axioms. ... we fix the inference rules. ...
    (comp.theory)
  • Re: Raatikainens critique of Chaitin
    ... entropy is a real number. ... We have been talking about Kolmogorov/Chaitin complexity all along, ... > have higher algorithmic complexity than the axioms. ... we fix the inference rules. ...
    (sci.math)
  • Re: [linux-pm] Bug in PCI core
    ... reflects the state of the device to userspace, reduces complexity, and ... could potentially save some memory per PCI device instance. ... And then you can fix the applications it breaks, ...
    (Linux-Kernel)