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Re: [ontolog-forum] web-syllogism-and-worldview

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: "Richard H. McCullough" <rhm@xxxxxxxxxxxxx>
Date: Thu, 16 Apr 2009 21:57:57 -0700
Message-id: <C0FAE17596C74307B15F3A8569C84507@rhm8200>
1. knit is identified by name
2. conceptually, it's a list of propositions,
but there are lots of data structures derived from that list
and stored in the context hierarchy.
Also the knit may contain change units (chits) corresponding
to action-events and interaction-interevents.
3. For the high-level details, you can look at these
record definitions:
CONCEPT() in http://mkrmke.org/src/concept.icn
CONTEXT_DATA() in http://mkrmke.org/src/knit.icn
EVENT() in http://mkrmke.org/src/event.icn    (01)

Dick McCullough
http://mkrmke.org
----- Original Message ----- 
From: "Bart Gajderowicz" <bgajdero@xxxxxxxxxx>
To: "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>
Sent: Thursday, April 16, 2009 9:21 PM
Subject: Re: [ontolog-forum] web-syllogism-and-worldview    (02)


> Thanks Richard,
> How is a context (knit) identified?  What are its attributes?
>
> -- 
> Bart Gajderowicz
> MSc Candidate, '10
> Dept. of Computer Science
> Ryerson University
> http://www.scs.ryerson.ca/~bgajdero
>
>
> 2009/4/16 Richard H. McCullough <rhm@xxxxxxxxxxxxx>:
>> In mKR, a knowledge base consists of knowledge units
>> (knits), each of which is a context.
>> Each context can be accessed by name, and displaying
>> its context hierarchy is simply:
>>
>> at view = v { existent isc* ?; };
>>
>> In OpenCyc, there is a separate hierarchy for contexts,
>> specified by the genlMt, specMt relations.
>>
>> Dick McCullough
>> http://mkrmke.org
>> ----- Original Message -----
>> From: "Bart Gajderowicz" <bgajdero@xxxxxxxxxx>
>> To: "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>
>> Sent: Thursday, April 16, 2009 5:42 PM
>> Subject: Re: [ontolog-forum] web-syllogism-and-worldview
>>> RHM: There is a simple solution: when you walk the hierarchy, keep a
>>> visit count -- never traverse the same node twice.
>>>
>>> Thanks Richard. I don't think visit counts would be sufficient
>>> though. I can have cyclic relationships, but not within the same
>>> context. I could keep track of how many visits I have on a node,
>>> within a particular context, but that's a false representation of
>>> what's happening. What I would need is a distinction between
>>> attributes (variable structures) and properties (atomic), and a way to
>>> model the transition between contexts. This in turn would be an
>>> attributes transition into a property, which would then cause a stop
>>> condition.
>>>
>>> --
>>> Bart Gajderowicz
>>> MSc Candidate, '10
>>> Dept. of Computer Science
>>> Ryerson University
>>> http://www.scs.ryerson.ca/~bgajdero
>>>
>>>
>>> 2009/4/16 Richard H. McCullough <rhm@xxxxxxxxxxxxx>:
>>>> Here's your two cents worth.
>>>> Try the mKR language (http://mkrmke.org); you'll like it.
>>>>
>>>> There is a recursion problem with a lot of the ontologies,
>>>> especially OpenCyc.
>>>>
>>>> There is a simple solution: when you walk the hierarchy,
>>>> keep a visit count -- never traverse the same node twice.
>>>>
>>>> Dick McCullough
>>>> http://mkrmke.org
>>>> ----- Original Message -----
>>>> From: "Bart Gajderowicz" <bgajdero@xxxxxxxxxx>
>>>> To: "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>
>>>> Sent: Thursday, April 16, 2009 4:32 PM
>>>> Subject: Re: [ontolog-forum] web-syllogism-and-worldview
>>>>
>>>>
>>>>> Here's the way I see the argument whether syllogisms, recursive or
>>>>> not, are valid, and why we can continue using programming languages
>>>>> based on the principles of turing machines.
>>>>>
>>>>> As with any proper recursive function, we need a stop condition. We of
>>>>> course can't use a turing machine to figure this out, as it will not
>>>>> stop if the program does not terminate. That's a theoretical issue.
>>>>>
>>>>> Ontologies, however are practical things for us to use. Nothing says
>>>>> that we can't have an ontology which models some phenomenon defined by
>>>>> our worldview, in a particular context. By context I mean situational
>>>>> circumstances, which change the way an object can be viewed. I'm not
>>>>> an expert on situation calculus, but I believe one could apply its
>>>>> axioms to formally define this idea of a context.
>>>>>
>>>>> If an ontology was the context, it would be represented by a set of
>>>>> functions. The domain then would be the traditional domain of a
>>>>> function, and encompass the entire object, all its attributes and
>>>>> properties, and the functions would represent any situation (context)
>>>>> that that object may find itself in. A general ontology would then be
>>>>> a theory modeling all the stricter ontologies which are functions that
>>>>> relate a domain to all the possible ranges (contexts).
>>>>>
>>>>> If our syllogisms are recursive, and our domain has cyclic
>>>>> definitions, a context could determine what a stop condition would be.
>>>>> Specifically, depending on where you are in the hierarchy of
>>>>> functions that define an object in a particular context, the set of
>>>>> attributes and properties will change. For example, let's say that a
>>>>> property is atomic. Attributes can be atomic but they can also be
>>>>> structures themselves. Furthermore, depending on the context, an
>>>>> attribute can become a property, which cannot be broken down any
>>>>> further. This would be our stop condition. The moment you have a
>>>>> cyclic definition where all properties are the same, you stop.
>>>>> Attributes wouldn't qualify as a stop condition because they can be
>>>>> structures which differ, and the only way to find that out is to
>>>>> traverse the attribute's structure further down. This is how
>>>>> fixpoints work in Description Logic.
>>>>>
>>>>> My question would be, can contexts be determined automatically through
>>>>> deductive means, or do we have to resort to inductive means, and delve
>>>>> into data mining?
>>>>>
>>>>> Situation Calculus and Description Logic both have their roots in
>>>>> First Order Logic, so perhaps we could get away with deductive means
>>>>> here.
>>>>>
>>>>> Temporal identifiers could be a representation of a context. The same
>>>>> object my have different roles throughout its life span, and interact
>>>>> differently with other objects. Processes have this property.
>>>>> Transitions from one state to another can tell us how to move between
>>>>> these contexts.
>>>>>
>>>>> .... 2 cents
>>>>>
>>>>> --
>>>>> Bart Gajderowicz
>>>>> MSc Candidate, '10
>>>>> Dept. of Computer Science
>>>>> Ryerson University
>>>>> http://www.scs.ryerson.ca/~bgajdero
>>>>>
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>     (03)


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