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Re: [ontolog-forum] An aside - Ontology, Information Models, 'Real World

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Francis McCabe <frankmccabe@xxxxxxx>
Date: Tue, 17 Apr 2007 09:18:34 -0700
Message-id: <95CD5B75-C90F-4CD2-A1A1-F83D54578A89@xxxxxxx>
Peter:
  Some of us will be working on SOA next week :)
Frank    (01)

On Apr 17, 2007, at 1:19 AM, Peter F Brown wrote:    (02)

> I'm at the OASIS Annual Symposium in San Diego all this week (I'm  
> blogging it at www.XMLbyStealth.net/blog), and I've been very  
> impressed with the large number of people here who have been  
> following the various threads on this Forum over the past weeks,  
> and are looking forward to this community coming up with some real  
> answers to many of their very real business problems. I think we've  
> set the bar high for next week!
>
> Peter
>
> -----Original Message-----
> From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx [mailto:ontolog-forum- 
> bounces@xxxxxxxxxxxxxxxx] On Behalf Of Cassidy, Patrick J.
> Sent: 16 April 2007 19:57
> To: [ontolog-forum]
> Subject: Re: [ontolog-forum] Ontology,Information Models and the  
> 'Real World': Contexts
>
> John, PatH:
>    I have been "loosely" using context as an argument in a
> "holdsInContext" relation, which gives propositions of the form:
>     (holdsInContext ?Prop ?Context)
>
>  . . .  and a proposition that holds in one context does not
> necessarily hold in another.
>
>  This is somewhat off the topic of whether an identifier means the  
> same
> thing in different contexts (I prefer that they do, and use
> context/namespace prefixes to address clashes).
>
> But I am very concerned about what can be stated about the  
> preservation
> of truth between contexts.
> For example, if a "context" is a time interval in the real world, what
> is true in one time interval may not be true in another.  However,  
> some
> things tend to remain true for long periods of time, such as the
> location of Mount Rushmore; and other things tend to remain true in
> every spatial context (e.g. the number of protons in an oxygen
> nucleus).  Has there been any discussion of how to address
> cross-context preservation of truth in a formal manner?
>
> Pat
>
>
> Patrick Cassidy
> CNTR-MITRE
> 260 Industrial Way West
> Eatontown NJ 07724
> Eatontown: 732-578-6340
> Cell: 908-565-4053
> pcassidy@xxxxxxxxx
>
>
>> -----Original Message-----
>> From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx
>> [mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On Behalf Of
>> John F. Sowa
>> Sent: Monday, April 16, 2007 10:41 PM
>> To: [ontolog-forum]
>> Subject: Re: [ontolog-forum] Ontology,Information Models and
>> the 'Real World'
>>
>> Pat,
>>
>> I sympathize with your attitude toward much of the loose talk
>> about contexts:
>>
>>> ... But in normal assertional logic, the quantifiers are the
>>> only such name-binding operators. Of course all these languages
>>> can be rendered down into functors applied to a single binder,
>>> usually lambda.
>>
>> I'm happy with that.
>>
>>> BUt contexts in context logic play a rather different role: in
>>> particular, there is no explicit name binding syntax, only
>> the notion
>>> that a name may (or may not) denote differently when asserted
>>> relative to a context. Contextual assertion is more like inclusion
>>> inside a modal operator than being in a syntactic binding scope.
>>
>> I prefer very simple formal definitions:  a "concept" is a node
>> in a conceptual graph, and a "context" is a box into which you put
>> such graphs.
>>
>> They way I represent talk about a dog or a flea or the kitchen sink
>> as a context is straightforward:
>>
>>   1. I use the binding mechanism (such as the existential quantifier)
>>      to represent the thing that is called a context (dog, flea, or
>>      sink) by a variable x.
>>
>>   2. Then I use the "that" operator of IKL to represent the context
>>      box and its nested CGs as a proposition p.
>>
>>   3. Finally, I use a *description* relation (Dscr) to link #1 and
>>      #2 by Dscr(x,p).
>>
>> I have never seen any theory of contexts with a coherent set of
>> axioms that cannot be represented (with a considerable increase
>> in clarity) by restating the axioms by the above method (possibly
>> with some additional relations and types, such as Situation or
> World).
>>
>> John
>>
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