SUO: Query: Classification Duality = Ex-/In-Tensional Reciprocity?
Leonid Ototsky wrote:
>
> This is a forwarded message
> From: Leonid Ototsky <leo@mmk.ru>
> To: West, Matthew MR SSI-GREA-UK <Matthew.R.West@is.shell.com>
> Date: Wednesday, November 01, 2000, 11:59:12 AM
> Subject: SUO: Starter Ontology Version 2
>
> ==================Original Message Text===============
>
> Dear Matthew and Doug,
>
> Suppose your discussion around "degree of hotness" has close connections with
> the "Classification Duality Principle (CDP) ... " I mentioned in previous message.
> Indeed and "a member of such classes as: room, spacial division, or similar" and
> a member of "particular degree of hotness" class could be the same, but from the
> CDP point of view they belong to different Dual parts of a classification system.
> The first one - to "Taxonomy" and the second one - to "Meronomy" . There were
> discussed a lot about a "source subject area" of a classification system which is
> class and transformation it into a "classification field" which is a set and which
> is a "reality" for a classification system with "minimal taxons" as source units.
> There were discussed such themes as hierarchy of taxons founded on "pure" combinations of
> independent "merons" (the very close to "properties" but suppose some more wide concept).
> Also there were discussions around "constructing" classes "bottom up" from properties --
> "merotaxons". Suppose a "Particular degree of hotness class" is typical merotaxon.
> There is another problem connected with the "degree of hotness" example.
>
> It is connected with taking into account an "engineering semiotics" mentioned
> in one of my previous messages. Indeed "degree of hotness that when mapped
> onto the Celsius scale gives the number 21" it is an implementation of one
> of the "quantitative semantical scales" to the "temerature" property.
> From the Pragmatic point of view there could be defined a "normal" value
> for the temperature which is implemented may be not only to the human beings.
> There could be defined a correspondence between the values (for example 18-25
> Celcius degrees). For this there could be defined many different classes
> (merotaxons) depending on chosen "subject area".
>
> Leonid
>
<...>
>
> Best regards,
> Leonid mailto:leo@mmk.ru
¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤
Dear Leonid,
I am still working my way through the "innovative terminology" of your text --
if you have read very many of my contributions you know how much I frown on
that sort of thing <chuckle> -- but just by way of a first impression, I am
wondering if this "classification duality" (CD) principle has any relation
to the classical "reciprocity of extension versus intension" (ROEVI)?
According to my own understanding, this would then fall under the
generic heading of "Galois Correspondences", in other words,
order-inverting dualities, mappings, or transformations
between lattices, "partially ordered sets" (posets),
preorders (as in category theory), and so on.
Still free-associating, ideas like this were also widely batted about
in anthropology and sociology, especially in the "structural schools"
that followed on the work of Claude Levi-Strauss, among many others.
So let me know if any of this seems to fall into the right ball-park,
or otherwise to be relevant to you.
Many Regards,
Jon Awbrey
¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤