Right, but I am not talking about AIXI^tl. I agree AIXI^tl is not a practical 
approach to AGI because it has exponential time complexity. The important 
results are the non-computability of AIXI and its proof of Occam's Razor as a 
general principle (if physics is Turing computable).

-- Matt Mahoney, [EMAIL PROTECTED]

--- On Fri, 10/31/08, Ben Goertzel <[EMAIL PROTECTED]> wrote:
From: Ben Goertzel <[EMAIL PROTECTED]>
Subject: Re: [agi] "the universe is computable" ..PS
To: [email protected]
Date: Friday, October 31, 2008, 9:58 AM


I was referring to AIXItl which is also contained in Hutter's papers/book and 
operates with merely infeasibly huge rather than infinite resources...

Hutter's theorems say *nothing* about the optimal way to achieve intelligence 
(according to his definition, and under the assumption of a computable 
universe) given feasibly limited computational resources


ben g

On Fri, Oct 31, 2008 at 9:49 AM, Matt Mahoney <[EMAIL PROTECTED]> wrote:

--- On Fri, 10/31/08, Ben Goertzel <[EMAIL PROTECTED]> wrote:



Hutter's proof that Occam's Razor (in a certain form) is key to intelligence 
depends on



1) a specific definition of what "intelligence" is



2)  a restriction to intelligent systems with a huge amount of computational 
resources



as well as



3) an assumption that the universe is in-principle computable



To me, personally, 2 is the biggest worry.  I'm willing to accept 3 as an 
interesting working hypothesis, and 1 as a guide for ongoing work, but it seems 
likely to me that for intelligent systems with feasibly modest computational 
resources, other fundamental principles are required along with Occam-like ones.




---



No, Hutter does not say (2). AIXI says that optimal intelligence is not 
computable at all.



-- Matt Mahoney, [EMAIL PROTECTED]







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agi

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-- 
Ben Goertzel, PhD
CEO, Novamente LLC and Biomind LLC
Director of Research, SIAI
[EMAIL PROTECTED]

"A human being should be able to change a diaper, plan an invasion, butcher a 
hog, conn a ship, design a building, write a sonnet, balance accounts, build a 
wall, set a bone, comfort the dying, take orders, give orders, cooperate, act 
alone, solve equations, analyze a new problem, pitch manure, program a 
computer, cook a tasty meal, fight efficiently, die gallantly. Specialization 
is for insects."  -- Robert Heinlein








  
    
      
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