Let me speak about something that (I can delude myself into thinking) I
know something about.  The section, "Geometrization of Inference," is based
on an primitive theory that semantics might be based on 'ontological
subsumption'. The problem with this, from the viewpoint that conceptual
relativism dominates conceptualization is that the supposed semantic space
has to be relativistic.  You can realize this in a number of ways.
Definitions of generalizations are specifications.  You can generalize
across any group of things.  The fact that you have to use concepts in
order to define or analyze concepts shows that no concept could be
considered without affecting it with the meanings or frames of the other
concepts.  So, for example, you can not view semantic space from a
different vantage without reshaping the arrangement space.  Although you
might record statistics on how words or even concepts are used there is
just no natural occurrence of semantic space that you can draw on.

Since you need to use concepts in order to analyze concepts and since
concepts typically affect other concepts when they are used together there
is no such thing as a stable semantic space.

I was wondering if you could explain Cayley's diagram.  Can you tell me
what is meant by, "A sum of products is just the set union of such points,"?


Jim Bromer


On Sat, Mar 9, 2013 at 8:32 AM, YKY (Yan King Yin, 甄景贤) <
[email protected]> wrote:

> PS:  the graphics were rendered badly... please use this new version:
>
> http://genifer.googlecode.com/files/logica-universalis%289-Mar-2013E%29.pdf
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