Alex,
Those three points of yours are important:
1> Let's take a particular entity or kind of process, and look at terminology used by people who work with and study this.
That is a very good starting point. Let's take music. That is an example of a non-linguistic subject that all of us have some experience with. And we can study and compare the language descriptions by the experts in each genre. As you will quickly see, you will find a huge amount of variation among the most talented musicians, even of the same genre. Furthermore, musical notation (diagrammatic) is sufficiently accurate that it's possible to specify the exact sequence and combination of notes in any composition.
But -- and this is a very big BUT!!! -- you cannot use that notation or the words that describe it to distinguish precisely a performance by (a) Jascha Heifetz, (b) a typical violin player in a college orchestra, or (c) the kid next door who is practicing the same piece. A music critic can say many things in praise of (a) and the faults of (b) and the huge faults of (c). But none of that criticism will tell any listener how to modify the sound of (b) or (c) to make it equivalent to (a).
Natural languages are very imprecise. And it's impossible for any language-based notation to be more precise. I will also add that it's impossible for any discrete representation -- including diagrams of any kind -- to be sufficiently precise to express those differences.
2> give me an example of a diagram which is not a picture and vice versa... But let me point here again: I am not about terminology, I am about the unique ability of mind to keep inside and process 3D pictures, not diagrams.
A talented violinist who hears (a), (b), and (c) can mimic the limitations of (b) and (c) on the violin. That same person can also mimic a good performance that begins to approximate (a) and explain in words and musical passages on the violin where his or her own performance does not quite match the master's.
3> But let me point here again: I am not talking about terminology, I am about the unique ability of mind to keep inside and process 3D pictures, not diagrams.
I gave the example of music because it has an excellent diagrammatic notation that captures much of the sound. But it also shows that the human mind of the performer can add a very important amount of musical talent above and beyond what is written. It also shows that the human minds of people who cannot play the violin, can recognize the differences in (a). (b). and (c).
Good musicians are better able to appreciate the difference, but even people who can't play the violin can appreciate the differences.
The same is true for an open-ended variety of performances by experts in any field. My talent for gymnastics or ballet or hockey or racing a horse is non-existent, but I can appreciate the abilities of experts in those fields. And people who have worked in those areas have a much deeper appreciation than I do. But they can't explain the methods in a way that would enable somebody like me do those things.
The same is true for every important thing we do: words alone aren't sufficient. You must have the experience.
Diagrams alone aren't sufficient. But for each one of those fields -- music, gymnastics, ballet, hockey, horse racing..., an expert talking to another expert can use diagrams (including gestures) to express the critical issues BETTER THAN using language by itself.
As I keep saying, there is much more to say -- partly because language alone is not able to express what language cannot say. I can only give examples where language breaks down.
John
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From: "alex.shkotin" <alex.shkotin(a)gmail.com>
By the way I asked my friends from MIPT alumni How many photons are in such an atto-impuls. And after some terminolgy aligment I got an answer: ~100 000.вторник, 14 ноября 2023 г. в 11:43:16 UTC+3, alex.shkotin:
IN ADDITION: We can take as an example of coherent knowledge a physics of atto-seconds impulses (2023 Nobel on Physics) and research if they have "Diagrams, Pictures, glyphs, Icons and Patterns."
вторник, 14 ноября 2023 г. в 11:24:46 UTC+3, alex.shkotin:
Ravi,
My way is more simple: Let's take a particular entity or kind of process, and look at terminology used by people who work with and study this.
This is for me some real theoretical and practical knowledge. And if in some such a community we find out that they use in the same one theory (coherent knowledge) all the terms you mentioned, we can ask them (not me) your questions.
Plus, for example, a question of this kind: give me an example of a diagram which is not a picture and vice versa.
But let me point here again: I am not about terminology, I am about the unique ability of mind to keep inside and process 3D pictures, not diagrams.
Alex
The attached Excerpts.pdf are from the article on phaneroscopy I'm writing. They show that Peirce's writings, especially in the last decade of his life, have strong implications for the latest research in the cognitive sciences (philosophy, psychology, linguistics, artificial intelligence, neuroscience, and anthropology).
I believe that these issues show that Peirce's writings are central to 21st c developments in those fields. They are likely to be critical issues at the Peirce Bicentennial in 2039. That's only 16 years away.
I participated in the Sesquicentennial at Harvard in1989 and the Centennial in 2014. I might not make it to the Bicentennial, but it's time to start thinking about the issues that will be discussed.
Peirce wrote that his writings would be central to the developments for 400 years. We're getting close to the halfway point.
John
Alex,
Absolutely NOT!!!!!
Alex> we should keep diagrams separately
Diagrams are the intermediate step between continuous images and linear notations. The first step in analyzing any kind of continuous space or structure is to draw a diagram.
Just look at any book on geometry, starting with Euclid. (There were earlier manuscripts. But after Euclid, nobody bothered to recopy them.)
Just look at any map. The first step between a continuous landscape and any notation of any kind is a map that identifies cities, towns, mountains, rivers, streets, and many, many POINTS and LINES of interest,
And look at any plan for any kind of structure -- airplanes, buildings, cars, bridges, etc., etc. etc. Every continuous design begins with a map or blueprint or other kind of diagram.
A diagram is a geometrical structure made of discrete points and lines that map to significant points and lines on a continuous space. That is the fundamental reason for diagrams in knowledge representation.
The most ancient monuments like Stonehenge and other structures on all continents except Antarctica are diagrams that reflect the significant points (stars, planets, and the moon) in a continuous sky. The constellations that people imagine are based on diagrams with lines that connect those points.
That is why I keep repeating the importance of diagrams. People who are born deaf can communicate perfectly well with moving three-dimensional diagrams. Children who have normal hearing, but are born to deaf parents babble with the hands, not by sounds. Their first languages are sign languages -- and they are not handicapped in any way when they finally learn to talk.
There is strong evidence that human spoken languages evolved from the sign languages of the apes. In fact, hearing people who learn signed languages score higher on IQ tests that involve diagrams -- after they learn a sign language.
That is one of many reasons why I keep emphasizing: LLMa are NOT a step toward a human-level intelligence. They're a useful adjunct, but not a fundamental form of knowledge representation. Diagrams are fundamental, and linear notations are useful for (a) typing, and (b) saving space on a printed page..
John
PS: There were some very smart, but hopelessly misguided mathematicians called the Bourbaki. They tried to get rid of diagrams. They wrote some interesting books, but their goal of getting rid of diagrams was hopelessly misguided. And it failed miserably. Their books still contain some useful ideas, but nobody uses them tp teach students..
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From: "Alex Shkotin" <alex.shkotin(a)gmail.com>
Ravi,
Relationships between World of Words and World of Pictures (3D by the way) is a great topic. We will need a new thread to collect ideas.
But we should keep diagrams separately, IMHO :-)
Alex
вс, 12 нояб. 2023 г. в 12:06, Ravi Sharma <drravisharma(a)gmail.com>:
Alex
Thiswas a 1-2 page written exchange with the then living philosopher Professor Norwood Hensen ay Yale. He was also known as a flying Professor and unfortunately he died young while flying.
The summary of my assertion with him was that what we model in our mind and understand as the meaning is often based on a picture or visual construct and not always the text to understand. We can talk about this later, it is also studied in infants or children who inherently understand many things such as fall due to gravity, etc,
Now as we are working in ontology, we can relate these days with graphs, knowledge graphs and AI beyond LLM!
Thanks for showing interest in my old theory, I will try to see in my archives if I based on what he then published anywhere that I read and responded or how we corresponded with each other, After 3 years at Florida I went to Yale for postdoctoral research and also did teaching in the physics Department.
Thanks.Ravi
Logical Graphs • Interpretive Duality 1
• https://inquiryintoinquiry.com/2023/10/26/logical-graphs-interpretive-duali…
All,
The duality between Entitative and Existential interpretations
of logical graphs is a good example of a mathematical symmetry,
in this case a symmetry of order two. Symmetries of this and
higher orders give us conceptual handles on excess complexity
in the manifold of sensuous impressions, making it well worth
the effort to seek them out and grasp them where we find them.
Both Peirce and Spencer Brown understood the significance of
the mathematical unity underlying the dual interpretation of
logical graphs. Peirce began with the Entitative option and
later switched to the Existential choice while Spencer Brown
exercised the Entitative option in his Laws of Form.
In that vein, here's a Rosetta Stone to give us a grounding in
the relationship between boolean functions and our two readings
of logical graphs.
Boolean Functions on Two Variables
• https://inquiryintoinquiry.files.wordpress.com/2020/11/boolean-functions-on…
Regards,
Jon
cc: https://www.academia.edu/community/5k4z9V
