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Re: [ontolog-forum] Logic, Datalog and SQL

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Christopher Menzel <cmenzel@xxxxxxxx>
Date: Fri, 9 Feb 2007 14:07:41 -0600
Message-id: <F2B29FBB-4623-4BD4-82F2-F81710C65C6E@xxxxxxxx>
> I am going to break my own plea to drop the subject by asking Chris 
> if both
> of these senses - the Model of an airplane, as well as a Tarskian 
> Model,
> exhibit some "lossy"-ness?  (01) 
Of course.  (02)
> Model, now matter how it is used, seems to be some sort of extended
> implementation from an original (whether it is an abstraction, like a
> mathematical, computer, or physical model - or some instantiation of a
> series of axioms). In doing this extension, something is lost from 
> the
> original  (03) 
I prefer to say "filtered out", since, done right, the stuff that is 
filtered out is extraneous to the structure captured in the model.  (04)
> (in the case of the model plane, it is reduced in size,
> functionality, and fidelity - in the case of a Tarskian model it is 
> reduced
> from an ideal state explained in axioms  (05) 
Note -- a Tarskian model is NOT a set of axioms. It is a 
mathematical structure in which certain axioms are *true*.  (06)
> to something that can change and lose some of its adherence to 
> those axioms).  (07) 
Modulo the above, of course. A Tarskian model provides a 
mathematical snapshot of a real world situation (perhaps over some 
interval of time, if time is part of the representation).  (08)
-chris  (09)
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