Thanks for comment. I intend no comment on any other use of the terms, merely 
to ensure that my use is reasonable and not confusing. And I hope that you & 
others will agree that the conceptual distinction I am making is a fundamental 
and essential one in itself.

Whether you agree that it is fundamental to narrow AI vs AGI is another but 
also v. fundamental matter.I would maintain that there is no method of any kind 
in the whole of rationality - i.e. esp. logic, maths, and computer programming 
- that is designed for, or can deal with open sets (per my term) - and that is 
of extreme importance.


From: Jim Bromer 
Sent: Wednesday, June 30, 2010 3:13 PM
To: agi 
Subject: Re: [agi] Open Sets vs Closed Sets


The use of the terminology of mathematics is counter intuitive, if, what you 
want to say is that mathematical methods are inadequate to describe AGI systems 
(or something like that.)
That is what I meant when I said that people don't always mean exactly what 
they seem to be saying.  You are not really defining a mathematical system, and 
you are not trying to conclude that a specific presumption is illogical are 
you?  Or are you?
There is another problem.  We can define sets so we can define things like a 
closed set of sets each containing infinities of objects.

However by qualifying your use of concepts like this and then appealing to a 
reasonable right to be understood as you intended, you can certainly use this 
kind of metaphor.
That's my opinion.
Jim Bromer


 
On Wed, Jun 30, 2010 at 8:58 AM, Mike Tintner <tint...@blueyonder.co.uk> wrote:

  I'd like opinions on terminology here.

  IMO the opposition of closed sets vs open sets is fundamental to the 
difference between narrow AI and AGI.

  However I notice that these terms have different meanings to mine in maths.

  What I mean is:

  closed set: contains a definable number and *kinds/species* of objects

  open set: contains an undefinable number and *kinds/species* of objects  
(what we in casual, careless conversation describe as containing "all kinds of 
things");  the rules of an open set allow adding new kinds of things ad 
infinitum

  Narrow AI's operate in artificial environments containing closed sets of 
objects - all of wh. are definable. AGI's operate in real world environments 
containing open sets of objects - some of wh. will be definable, and some  
definitely not

  To engage in any real world activity, like "walking down a street" or 
"searching/tidying a room" or "reading a science book/text" is to  operate with 
open sets of objects,  because the next field of operations - the next street 
or room or text -  may and almost certainly will have unpredictably different 
kinds of objects from the last.

  Any objections to my use of these terms, or suggestions that I should use 
others?

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