Gary,
The word 'limits" sounds negative. That is why I recommend a positive way of
describing the distinction of continuous and discrete representations.
1. The mapping to and from the world depends of continuous representations, such as
differential equations and an ope-ended variety of technologies for mapping information
about the world for many kinds of applications.
2. Various kinds of diagrams and graphs represent discrete models of the world and things
in it. Mappings of those representations to and from computable forms may use various
kinds of formal logics.
3. Natural languages can represent anything that humans experience, think, plan, do, or
intend to do. Therefore, they should be able to represent anything and everything in #1
and #2.at any level of precision or approximation.
The top two lines describe the continuous and discrete. The third line shows how and why
people can describe both sides while using their native language. An important point
about using NLs for discussing formal topics: : Every textbook on logic defines the
subject by sentences in some NL. Therefore it is possible (but not easy) to talk
precisely about formal methods.
However, it is too easy to slip into vagueness. The exercise of mapping NLs to a forma
logic forces humans to be absolutely precise. But many people don't know how to do
that. Therefore, it's important to develop interactive tools to aid in the
translation.
John.
----------------------------------------
From: "Gary Berg-Cross" <gbergcross(a)gmail.com>
Sent: 10/18/24 1:48 PM
To: ontolog-trustee(a)googlegroups.com
Cc: ontolog-forum <ontolog-forum(a)googlegroups.com>om>, CG
<cg(a)lists.iccs-conference.org>
Subject: Re: [ontolog-trustee] Trying to develop a proper useful topic for the 2025
summit
With John's points as background I suggest that the way to frame a workable summit
topic would be to explore the current and likely limits to useful formalization.
Gary Berg-Cross
Potomac, MD
240-426-0770