I used the term *omniscience* in a rather general way, as a substitute for the 
term *universal* 

though it should be said that the purpose was to serve as adjective to the term 
*computational* 

rather than the other way around, as might be expected when the phrase is given 
in the form of 

*computational omniscience*.  I like to play with language, and English has a 
rather free form.

 

Omniscience has a sense of universality to it, and it is not solely connected 
to deity; there is also 

notion of realm, and mathematics is such.  Hence, omniscience over computation 
(computational 

omniscience) represents not so much all knowing as all computable, and 
remember, all that is 

computable is so computable upon Turing machine as it might be anywhere else.

 

The Turing machine, simply by its construction, computes in this universal 
fashion, and no other 

means of computing provides answers beyond those provided by Turing machine.  
Hence, the 

Turing machine is not only universally competent as a computer, it also is 
computationally 

omniscient.

 

wrb

 

 

 

From: everything-list@googlegroups.com 
[mailto:everything-list@googlegroups.com] On Behalf Of Roger 
Sent: Thursday, August 16, 2012 8:12 AM
To: everything-list
Subject: Re: Re: Why AI is impossible

 

Hi Bruno Marchal 

 

The Bible teaches that God spends much of his time 

looking into men's hearts to see if love or evil rests there.

Would this be part of your definition of omniscience ?

 

 

Roger ,  <mailto:rclo...@verizon.net> rclo...@verizon.net

8/16/2012 

Leibniz would say, "If there's no God, we'd have to invent him so everything 
could function."

----- Receiving the following content ----- 

From: Bruno Marchal <mailto:marc...@ulb.ac.be>  

Receiver: everything-list <mailto:everything-list@googlegroups.com>  

Time: 2012-08-15, 03:38:37

Subject: Re: Why AI is impossible

 

William, 

 

On 14 Aug 2012, at 17:02, William R. Buckley wrote:





Bruno:

You抳e turned things around.  The implication is context to information, not 
information to context.

And, I suggest you think very long and carefully about my statement regarding 
the computational

omniscience of the Turing machine.  Yes, you may call it universality but that 
word is in fact too

strong; omniscience is more accurate.

 

Omniscience concerns beliefs or knowledge, mainly propositions. This can be 
proved to be always incomplete for machine (and plausibly humans), never 
"omni". Universality concerns functions, or computations. By a sort of miracle 
(Church's thesis) this can be universal.

 

Put differently: procedural 'knowledge' can be universal. Assertive knowledge 
is always incomplete.

 

Bruno

 

 

 





Also, read Jesper Hoffmeyer抯 book Biosemiotics.

wrb

From: everything-list@googlegroups.com 
[mailto:everything-list@googlegroups.com] On Behalf Of Bruno Marchal
Sent: Tuesday, August 14, 2012 2:39 AM
To: everything-list@googlegroups.com
Subject: Re: Why AI is impossible

Hi William,

On 14 Aug 2012, at 02:09, William R. Buckley wrote:






Bruno:

>From the perspective of semiotic theory, a subjective universe

seems rather obvious.

I don't think anything is obvious here.

What do you mean by a subjective universe? Do you mean that we are dreaming? 
What is your theory of dream? What is your theory of mind?






Consider that the Turing machine is computational omniscient

I guess you mean universal. But universality is incompatible with omniscience, 
even restricted to number relations. Computational universality entails the 
impossibility of omniscience.






solely as a consequence of its construction, and yet, it can hardly

be said that the engineer who designed the Turing machine (why,

Turing, himself!) intentioned to put into that machine as computable

computations. 

?






Somehow, where information is concerned, context

is king.

I agree with this. I would say that information is really context selection.

Bruno

http://iridia.ulb.ac.be/~marchal/

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