-----Original Message-----
From:
ontolog-forum-bounces@xxxxxxxxxxxxxxxx [
mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On Behalf Of John F. Sowa
Sent: 10 February 2009 21:27
To: [ontolog-forum]
Subject: Re: [ontolog-forum] standard ontology
Ian and Pat,
I agree with Pat:
PH> I wouldn't describe this list as an ontology at all, more
like the underlying formalism of an ontology. I would add
immediately that this isnt a clear boundary, but your list
here doesn't seem to be about the world being described so
much as about the apparatus you propose to use to describe it.
The following classification is closer to a description of the
permissible syntactic categories:
-Thing
-Individual
-Type
-Powertype
-TupleTyple
-IndividualType
-Name
-NameType
-tuple (thing, thing, thing, ...etc.)
-couple (thing, thing)
-superSubtype (type, type)
-typeInstance (type, thing)
-powertypeInstance (powertype, type)
-nameTypeInstance (nametype, name)
-namedBy (thing, name)
-triple (thing, thing, thing)
-quadruple (thing, thing, thing, thing)
-quintuple (thing, thing, thing, thing, thing)
Common Logic, for example, is called a logic rather
than an ontology. But it is possible to define a dialect
of CL that uses the labels above to name the syntactic
features of CL.
- A thing is anything named by a CL name.
- A type is a monadic relation that is used as a
restriction on a quantified name.
But as Pat said, the boundary isn't clear. You could say that
your system does make the following "ontological commitment":
- If there exists a thing x and a thing y, then there exists
a couple consisting of x and y.
In CLIF, that statement could be written as the following axiom:
(forall (x y) (exists (z) (= z (couple x y))))
However, this level of commitment is far below what you would
get from adopting any first-order logic plus some obvious
mathematical theories that can be axiomatized in FOL: sets,
functions, relations, integers, real numbers, etc.
But that is still very far from giving us an ontology that can
represent all the stuff of science, engineering, business, etc.
John
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