This sounds like a flexible, multiple-inheritance class hierarchy to me. Or
maybe a map (over conceptual space), with the transitive "part of" relation
in Ryszard Michalski's papers that PM already linked us to. Or any other
combined hierarchical/spatial structure. I think the key novel observation
you're pointing to is that neighboring regions in conceptual space can be
grouped *dynamically *to define a larger region that makes sense for the
current reasoning context.


On Mon, Dec 10, 2012 at 5:56 PM, Jim Bromer <[email protected]> wrote:

> I originally came up with the image of overlapping transcendent boundaries
> while thinking about how we use logic.  When we are considering a group of
> related logical propositions we are putting boundaries around those
> propositions and imagining them as existing as a complete universe.  But if
> were to learn or derived some new logical propositions, we do not need to
> combine them to use them.  We can consider the new propositions as if they
> existed as a separate universe of their own. But if we realized that some
> of the propositions of one group might have an impact on the other we could
> transcend the original boundaries separating the groups.  We could combine
> them into a larger group or we could take those propositions from the two
> groups that directly relate to each other and create a transcendent
> boundary around them to consider them as a universe or a
> domain to themselves.  The boundaries do exist, there may be some overlap
> in them but we may take a number of means to transcend those boundaries to
> use them in consideration of other situations.  This idea of transcendent
> boundaries can be extended to any systems of ideas.
>
> The outline of the next steps is not important, it is more of a guiding
> simile.
> Jim Bromer
> On Mon, Dec 10, 2012 at 4:43 PM, Piaget Modeler <[email protected]
> > wrote:
>
>> I agree, you're only done with the architecture at that point.
>>
>> You still need to implement and get results.
>>
>> Can you (1) reiterate what you meant so that it is comprehensible to the
>> rest of the world,
>> and then (2) outline the next steps?
>>
>> ~PM.
>>
>> ------------------------------
>> Date: Mon, 10 Dec 2012 15:37:31 -0500
>>
>> Subject: Re: [agi] Internal Representation
>> From: [email protected]
>> To: [email protected]
>>
>> No, produce something that actually works. Then you are done. Not simple.
>>
>> On Mon, Dec 10, 2012 at 2:43 PM, Piaget Modeler <
>> [email protected]> wrote:
>>
>>
>> You'd have to repeat that in Math, or Algorithms and Data Structures to
>> make it comprehensible (to me).
>>
>> There are too many concepts such as "boundaries with transcendent
>> overlaps" that are private to you alone.
>>
>> But I suppose you're understanding my method. List the requirements,
>> constraints, dependencies, and
>> assumptions. Then find a solution to address them all. Iterate until
>> done. Very simple.
>>
>> Cheers!
>>
>> ------------------------------
>> Date: Mon, 10 Dec 2012 14:30:28 -0500
>>
>> Subject: Re: [agi] Internal Representation
>> From: [email protected]
>> To: [email protected]
>>
>> So the program needs to be able to form 'ideas' but then it needs to be
>> able to use them in different ways. For example you may know something and
>> use that knowledge in your thinking without necessarily acting on that
>> particular piece of knowledge. We can talk about an explosion without
>> actually exploding something.
>>  Constraining the search space and using boundaries with transcendent
>> overlaps are ways which our programs might avoid combinatorial explosions.
>> And we can use branching indexes as a means to find more detailed
>> information. Then, if particular 'ideas' are more closely associated with
>> particular index branches (or with other 'ideas' that are associatively
>> distributed in a similar way) they might not come to mind unless there is
>> some other reason to be looking at that particular group of 'ideas'. If
>> 'ideas' should be associated with other groups of ideas (or at other points
>> on the index) then they can be cross associated. However, the index
>> associations should be categorized or sub indexed in some way so that the
>> system does not become overwhelmed by associating all 'ideas' at the root
>> or initial path into the index.
>>
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