A concept is a constant (i.e., a symbol, a placeholder) which stands in 
relation to other concepts (i.e., constants).  That's my view.
Cheers!
~PM.

From: [email protected]
To: [email protected]
Subject: Re: [agi] Variables vs concepts ; analog vs mapping computers
Date: Tue, 10 Jul 2012 11:57:18 +0100








PM: "Concepts are just constants"
 
What do you mean? It's hard to think of anything constant 
in any concept.




From: Piaget Modeler 
Sent: Tuesday, July 10, 2012 11:48 AM
To: AGI 

Subject: RE: [agi] Variables vs concepts ; analog vs mapping 
computers



At the end of the day, Concepts are just constants. 


And I agree that we need to do analogy (i.e., constant mapping and 
substitution) primarily.


Cheers!


~PM





From: [email protected]
To: [email protected]
Subject: [agi] Variables vs 
concepts ; analog vs mapping computers
Date: Tue, 10 Jul 2012 11:26:25 
+0100




 

John:  The symbology is digital, 
unless somehow you make the symbols analog for some benefit. 
 
There 
are two kinds of symbols - the symbols of logic and maths and computer 
algorithms, which are only *variables* with precise, specific referents. If 
p then q - a + b = c, a geometric square or triangle - these are all 
variables.
 
But 
the symbols of language are *concepts*. Concepts are the "building blobs" of 
AGI 
thought - the magic ingredients which enable humans and animals to create 
flexible  courses of action in the real world. Concepts 
like 
 
"*I* 
*must* *go* *get* *some* *food* "
 
Concepts 
like these - all the concepts of language -  have vague and general rather 
than precise & specific referents.  There is no specific "I" or form of 
"I" - no specific form of "go" or "food" or "some." But horrific as that is to 
the logicomathematical mind, it is great for real world action.
 
It 
is concepts like these that all AI, in its present incarnation, is completely 
incapable of handling. And it is concepts, not bleeding algebraic/logical 
variables, Steve, that AGI must aim for, and that represent one of the obvious 
great challenges.
 
Such 
concepts enable flexible, creative courses of action in the real world. They 
are 
demonstrably beyond the grasp of any algorithm or logic or maths. There is no 
algorithm for "go" or "food."  Nor are there any equivalents in logic or 
maths.  It is because an AGI starts with just a vague, general direction 
like "go" that it can engage in more or less any form of movement that may be 
required on its real world journey to the fridge - can hop, jump, leap, crawl 
or 
walk over furniture and any of the other *completely unpredictable* obstacles 
that may lie n its path to the fridge. "Go" embraces jumping, leaping, 
crawling, 
walking, running, being carried  etc etc - forms of movement ad 
infinitum.  It's a concept, not a variable.
 
Logical 
and mathematical variables and differential equations are absolutely useless, 
Steve, if you are undertaking any real world journey anywhere, including a 
journey through a Woz kitchen to make coffee (or eat from a 
fridge).
 
However 
I suspect - and correct me here - concepts are best understood as extremely 
fluid outline "MAPS" rather than "analogs" of objects and object actions. My 
impression is that analog has a fairly precise meaning in computation, which 
has 
nothing to do with fluid outline maps.
 
If 
so, that is what we ideally need - not an analog computer/robot, but a 
***mapping computer** that can fluidly, loosely map the world  and map its 
body onto the world  -  a *retinal* computer. (The retina if you think 
about it does indeed literally fluidly and distortedly map the objects of the 
world - distortions which have to be corrected by the brain).
 
 
 


  
  
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