POV-Ray : Newsgroups : povray.off-topic : A random interjection: the Halting Problem : Re: A random interjection: the Halting Problem Server Time
11 Oct 2024 09:19:30 EDT (-0400)
  Re: A random interjection: the Halting Problem  
From: Warp
Date: 30 Dec 2007 15:18:55
Message: <4777fd2f@news.povray.org>
Orchid XP v7 <voi### [at] devnull> wrote:
> Are you saying there are things that can be calculated but not by a 
> Turing machine?

  As far as I can see, the Church-Turing thesis ("if an algorithm
(a procedure that terminates) exists then there is an equivalent Turing
Machine or applicable lambda-function for that algorithm") is a
hypothesis, not an axiom:

http://en.wikipedia.org/wiki/Church-Turing_thesis

  The concept of hypercomputability, while theoretical, has been
considered.

http://en.wikipedia.org/wiki/Hypercomputation

-- 
                                                          - Warp


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