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Fwd: Re[4]: RDF vocabulary definitions

From: Leonid Ototsky <leo@mmk.ru>
Date: Thu, 21 Nov 2002 15:02:44 +0500
Message-ID: <7626.021121@mmk.ru>
To: www-rdf-interest@w3.org

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From: Leonid Ototsky <leo@mmk.ru>
To: Richard H. McCullough <rhm@cdepot.net>
Date: Thursday, November 21, 2002, 3:01:04 PM
Subject: RDF vocabulary definitions

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Hello Richard,

Thursday, November 21, 2002, 1:11:18 PM, you wrote:

RHM> I read your paper, and I am interested in the "duality principle  in the classification theory"
RHM> that you mentioned.  Could you tell me what that means?

See an interpretation with some extentions below.
=====================================
Some principle statements of the Classification Theory (CT)

1. Any Classification System has two Dual parts - "Taxonomy" and "Meronomy". The first one is
 "external" and connected with ordinary set theory relations (unions, intersections, hierarchy
 (a subclass of)) etc..
2. The second one is "internal" and connected  with Properties (with some extended understanding !
- see my paper).
3. CT differes  hierarchy - "combinational" structure of Taxons and  hierarchy - "combinational" structure
 of Properties. There are 4 extrime  points of  combinations of that  two scales ( Hierarchy- Combinations ,
 Taxons-Properties).
4. A strict hierarchy of Taxons can be described be pure combinations of Properties.
5. The "good sets" ,their members and standard set theory relations are
described by the "Taxonomy", but the dual part "Meronomy" doesn't fix
the sets of objects in principle . Only the "subject areas" with  "open" object types and  explicitely
defined properties for them. A "good" classification system must have the both parts but in practice very
often only the taxonomy is used EXPLICITLY . And the Meronomy is "hided" in the human minds.
The both parts are used in biology (as "Detarminator of the birds
nests" for example).
6. The CT  differs a "subject area" from a "classsification field" .
The first one is "not closed" class  . The last is a "good
set" when the proper "primary" identifications from real objects to
"minimal" taxons are made already!(This is another very impotant theme).
The minimal taxons "substitute" real
objects in any model. It is important to differ  "taxonomical"
properties from more deep "diagnostic" properties . A value of a
taxonomical property may have a complex connection with them.
ETC
A direction of further development of the theory  see in my paper.

Best regards,
 Leonid
mailto:leo@mmk.ru and copy to leo@mgn.ru
=====================================================
Leonid Ototsky,
http://ototsky.mgn.ru
Chief Specialist of the Computer Center,
Magnitogorsk Iron&Steel Works (MMK)- www.mmk.ru
Russia
===================================================


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Best regards,
 Leonid
mailto:leo@mmk.ru and copy to leo@mgn.ru
=====================================================
Leonid Ototsky,
http://ototsky.mgn.ru
Chief Specialist of the Computer Center,
Magnitogorsk Iron&Steel Works (MMK)- www.mmk.ru
Russia
=====================================================
Received on Thursday, 21 November 2002 06:59:57 GMT

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