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
