As before, I often have conflicts on Wednesdays. But when I got back, I went through
some of my backlog of notes that raise important issues. This is about a note from
October 2024 that I had intended to comment on, but it got buried long ago.
As Mihai Nadin wrote below, C. S. Peirce made important comments about the issues
discussed in these notes. He represented them in graphs about graphs, and the modern term
is 'metalanguage'.
Farther below, Hans Polzer wrote "We tend to overlook the enormous amount of
information we humans create about things that don’t actually exist in the natural world,
at least not in the sense of material objects.... The physical properties of such
representations bear no inherent relationship to the things they represent, such as the
deed to a piece of property or a movie (which itself may represent something that doesn’t
actually exist in the natural world)."
The fact that these things don't "exist" in some sense does not mean that we
can ignore them. Money, for example, is just a number. You can say that it refers in
some complex way to some gold bars in some distant place, but the connection is so remote
that it's ignored by every computer program that processes numbers about money.
Similar principles apply to everything in our computer systems. Nothing physical is ever
stored in transistors or transmitted across wires, thin air, or the vacuum of outer space.
All of it is language about something. And a large amount of that "something"
is more language about something else.
In the bottom note below, Alex talks about higher order logic. That's not quite
right. It's more accurate to say that it is related to terms and terminology about
physical things. The word 'metalanguage' is more appropriate.
And there is no limit to the number and kinds of metalanguage that anyone might want or
need to say about something. A bank, a grocery store, a stock broker, and their customers
all talk about money, but they say very different things for very different reasons.
As usual, there is a huge amount of commentary that could be debated about these issues.
And by the way, the question whether any of these words are mapped to and from some formal
notation is irrelevant to the fundamental problems of interpreting the symbols in some
program.
John
----------------------------------------
From: "Nadin, Mihai" <nadin(a)utdallas.edu>
This is the semiotics of the subject. Discussed many times by our Forum. Indeed, without
referencing C.S. Peirce on the matter we will not make progress. In this vein: syntax and
semantics are important. But sign processes are driven by the pragmatics: representations
have a purpose or can be associated with purposes. Mihai Nadiin
From: hpolzer via ontolog-forum <ontolog-forum(a)googlegroups.com>
Understood, Ravi. I was just trying to illustrate with some examples of what I meant by
the virtual world created by humans in addition to the natural world that John was
referring to in his email. We tend to overlook the enormous amount of information we
humans create about things that don’t actually exist in the natural world, at least not in
the sense of material objects. Of course, we often create physical representations of some
types of such things, but even there many of those representations have been reduced to
bit patterns on some digital storage media, aka, “the cloud”. The physical properties of
such representations bear no inherent relationship to the things they represent, such as
the deed to a piece of property or a movie (which itself may represent something that
doesn’t actually exist in the natural world). That general problem was one of the big
challenges faced by Sagan and crew when working on the Voyager plaque/disk.
Hans
From: ontolog-forum(a)googlegroups.com <ontolog-forum(a)googlegroups.com> On Behalf Of
Ravi Sharma
Hans
Human made markers have been in use for a long time but used to operate in their own small
areas of applications.
For example Ujjain India Meridian is where their astronomers calculated time for a
millennia or two.
When they tried to apply this in today's context they found that both US and India
will be split by the dateline.
Some strange results like metric - US (old British) units' lack of conversion led to
space missions failures.
But hope we can correct all such aberrations going forward!
Staying with as close to reality as you suggest, I support.
Regards
Thanks.
Ravi
On Thu, Oct 10, 2024 at 10:43 AM deddy <deddy(a)davideddy.com>
For a natural language, almost every word has a continuous range of meanings.
And this is only for "natural" language.
See classic George Miller "Ambiguous Words"
13 simple Robert Frost words offer 3.6 TRILLION combinations.
https://www.thekurzweillibrary.com/ambiguous-words
So far no acknowledgement at all of the existance of "unnatural language."
Unnatural language being the strings / labels / terms used INSIDE software applications.
Many universes of written but minimally spoken terminology that AFAIK is entirely ignored
in the current interest in AI & ontologies.
For those who expect "meaning" from statistics... long, long, long ago I
encountered an insurance company that had found 70 different "names" for the
concept "policy number."
AI LLMs / ontologies address this ... how?
David Eddy
-------Original Message-------
From: John F Sowa <sowa(a)bestweb.net>
Alex,
There are two very different issues: (1) Syntactic translation from
one notation to another; (2) Semantic interpretation of the source or
target notations.
For a formally defined notation, such as FOL or any notation that is
defined by its mapping to FOL, there is a single very precise
definition of its meaning.
For a natural language, almost every word has a continuous range of
meanings. The only words (or phrases) that have a precise meaning are
technical terms from some branch of science or engineering. Examples:
hydrogen, oxygen, volt, ampere, gram, meter...
If you translate a sentence from a natural language to formal
language, that might narrow down the meaning in the target language,
But that very precise meaning may be very differentt from what the
original author had intended.
Summary: Translation is not magic. It cannot make a vague sentence
precise.
John
_______________________________________
FROM: "Alex Shkotin" <alex.shkotin(a)gmail.com>
John,
Let me clarify what I meant by "English is HOL" by example.
Sentence: "I see a blue jay drinking out of the birdbath."
HOL-structure: (I see ((a (blue jay)) (drinking (out of)) (the
birdbath)))
where
"of" is an unary operator used in postfix form, applied to "out"
being
an argument. As a result we get "(out of)" an expression or term.
But this term is itself an unary operator used in postfix form,
applied to "drinking" to create a term "(drinking (out of))", being
binary operator in infix form being applied to two arguments: left
one: "(a (blue jay))", and right one: "(the birdbath)".
As a result we have a proposition which is a right argument for
another binary operator in infix form "see", which has the left
argument "I".
And we are talking here not about Logic, but about Language.
In every syntactically correct phrase, words are combined: one word is
applied to another. The result is something like molecules, but in the
World of Words.
How to get this structure from a chain of words? How to work with
these structures to get what? Some pictures? True|false value?
This is the question
Alex.