Wednesday, 1 October 2025

Cybernetic Model of Intelligence

  

Figure 1: Circular processes of intelligence. 

1. Introduction

The hype around Artificial Intelligence raises the question “What is Artificial Intelligence?” and, consequently, “What is Intelligence?”. We need a coherent definition of the concept of intelligence, because otherwise the public discourse about AI will fail and degrade to an exchange of propaganda and to manipulation. But do we have a coherent definition of intelligence? 
Consider the following example, which is representative for many others: 

Human intelligence is the capability to learn, form concepts, understand, and apply logic and reason ... recognize patterns, plan, innovate, solve problems, make decisions, retain information, and use language to communicate. (adapted from Wikipedia).

Such definitions try to define the concept by means of a list of examples of intelligence, a list of possible uses of intelligence. But the question is not which types of intelligence exist, nor what intelligence can be used for. We need a definition which is valid for all the types and for all the uses: that is, we need a general definition. Such a definition can be obtained if we ask: what does intelligence consist of? And particularly: “what functions does intelligence consist of?”

2. Piaget’s theory of intelligence

An answer to these questions can be found in Jean Piaget’s studies of the development of intelligence. Here are some quotations from and adaptations of Piaget’s theory, that mention the main functions and characteristics of intelligence:

  1. EIVIRONMENT. Intelligence develops (and knowledge is generated) through interaction with the environment.
  2. ACTION. …all knowledge is tied to action, and knowing an object or an event is to use it by assimilating it to an action scheme… (Piaget, 1967:14-15)
  3. SCHEME. A pattern consisting of (von Glasersfeld, 1995:66):
    • Recognition of a certain situation;
    • a specific activity associated with that situation; and
    • the expectation that the activity produces a certain previously experienced result. 
  4.  ASSIMILATION. “Intelligence is, in fact, assimilation to the extent that it incorporates into its schemes all the data of experience” (1). Piaget, 1936:12. 
  5. ACCOMMODATION. « … mental life is also accommodation to the surrounding environment… intelligence constantly modifies [previous schemes] to adjust them to new data.” (2). Piaget, 1936:13.
  6. EQUILIBRIUM. The interaction between the organism and the environment requires a balance between assimilation and accommodation. Adapted from Piaget, 1937:309.
  7. KNOWING. "all knowledge is both accommodation to the object and assimilation to the subject" (3). Piaget, 1937:312.
  8. CONSTRUCTION OF KNOWLEDGE. "The very notion of object is far from being innate and requires a construction that is both assimilative and accommodative." (4). Piaget, 1936:13.
  9. COORDINATION. It is precisely the role of intelligence to coordinate assimilation and accommodation with each other. Adapted from Piaget, 1937:309.
  10. COORDINATIONS OF SCHEMES. Assimilation establishes an ever closer network of coordinations between schemes and between the things to which these schemes apply. Adapted from Piaget, 1937:308.

Further, in his study of the development of intelligence, Piaget gives the following definition of intelligence (Piaget 1936: 12):

« Intelligence is an equilibrium between assimilation and accommodation” (original: «L’intelligence … est un équilibre entre l'assimilation et l'accommodation. »)

One year later, in his study of how intelligence constructs reality, Piaget suggested to view intelligence as follows (Piaget 1937: 311):

"Intelligence ... organises the world by organising itself
(original: "L’intelligence . . . organise le monde en s’organisant elle-même."

The idea of an equilibrium in the first definition and the repetition of “organize” in the second suggest a circularity such as we find in cybernetic (feedback) systems. So, based on Piaget’s developmental theory of intelligence and knowledge - as summarised in the previous statements - we developed the following cybernetic model of intelligence. 

3. Cybernetic Model of Intelligence

Intelligence is constituted by 3 main processes (functions) and 2 feedback loops that enable the organism to develop its own experiential world. 

Figure 2: Cybernetic model of intelligence.

Intelligence is not found ready-made; the functions which constitute it progressively develop thanks to the interaction of the organism with the environment. These interactions typically follow a tripartite pattern called a “scheme”. Experience happens through construction, organisation and application of schemes (knowing) thus contributing to the creation of the organism’s experiential world. 

The function of assimilation regulates this process of knowing by incorporating experience into a scheme (assimilation loop) whereas the function of accommodation regulates it by adjusting schemes when they do not fit to experience (accommodation loop). In this way the three processes constituting intelligence (knowing, assimilation, accommodation) are coordinated and equilibrium between the organism and its environment is maintained.

4. Conclusion

What is intelligence? The cybernetic model presented here suggests that the essence of intelligence is a feedback system consisting of 3 main functions - knowing, assimilation and accommodation - connected by 2 feedback loops (assimilation loop, accommodation loop). This system demonstrates that intelligence is not ready-made: it develops by ensuring - thanks to its functional architecture - a balanced interaction of the organism with the environment.

References

Piaget, J. (1936) La naissance de l'intelligence chez l'enfant, Neuchâtel: Delachaux et Niestlé. 9th edition, 1977. Translated as: The Origins of Intelligence in Children (New York: International University Press, 1952) as well as The Origin of Intelligence in the Child (London: Routledge and Kegan Paul, 1953).

Piaget, J. (1937) La Construction du Réel Chez l’Enfant. Neuchâtel: Delachaux et Niestlé. 5th edition, 1973. Translated as: The construction of reality in the child (New York: Basic Books, 1954). Also translated as The Child's Construction of Reality (London: Routledge and Kegan Paul, 1955).

Piaget, J. (1967) Biologie et connaissance (Biology and knowledge), Paris, Gallimard.

von Glasersfeld, E. (1995). Radical Constructivism: A Way of Knowing and Learning. London: Falmer Press.

Notes

(1) L'intelligence est, en effet, assimilation dans la mesure où elle incorpore à ses cadres tout le donné de l'expérience. Piaget, 1936:12.

(2) … la vie mentale [est] aussi accommodation au milieu ambient … l'intelligence modifie sans cesse [les schèmes antérieurs] pour les ajuster aux nouvelles données. Piaget, 1936:13.

(3) toute connaissance est à la fois accommodation à l'objet et assimilation au sujet. Piaget, 1937:312.

(4) la notion même d'objet est loin d'être innée et nécessite une construction à la fois assimilatrice et accommodatrice. Piaget, 1936: 13.

 

Thursday, 25 September 2025

What is intelligence?

 


What do you think for example of the following definition?

Human intelligence is the capability to learn, form concepts, understand, and apply logic and reason ... recognize patterns, plan, innovate, solve problems, make decisions, retain information, and use language to communicate (adapted from Wikipedia).

In my view such definitions are misleading: because in this way they only define what intelligence is used for, not of what it consists. A car is used for travelling: does travelling define what a car is? I don't think so.

If we ask "What is a house?", the Oxford dictionary tells us of what a house consists, not only what it is used for.
=> a building [a structure with a roof and walls] for human habitation, especially one that consists of a ground floor and one or more upper storeys. (1)

So, of what does intelligence consists?

Piaget in 1937 suggested to view intelligence as follows:

"Intelligence ... organises the world by organising itself
(original: "L’intelligence . . . organise le monde en s’organisant elle-même." (2)).

This suggests that intelligence consists of the ability of :

  • shaping experiences into a structured world ("organises the world") 
  • by organising its own methods (the subject's action schemes) for shaping experiences ("organising itself").


The first, according to Piaget, is implemented as the function of "accomodation", the second as the function of "assimilation". This is what intelligence consists of: assimilation & accomodation, two complementary funtions which depend the one of the other and interact the one with the other (2).

In his interpretation of Piaget's epistemology, Ernts von Glasersfeld suggested that understanding Piaget’s epistemological beliefs may be very difficult, but was convinced that it would be worth struggling for it because it could lead to "a view of human knowledge and the process of knowing which, it seems to me, is more coherent and more plausible than any other." (3).

Thank you, Ernst, I totally agree!


Notes:

(1) https://languages.oup.com/google-dictionary-en/
(2)  Piaget, J. (1937) La Construction du Réel Chez l’Enfant. Neuchâtel: Delachaux et Niestlé. 5th edition (1973).
(3) von Glasersfeld, E. (1982) An Interpretation of Piaget’s Constructivism. In: Revue Internationale de Philosophie, 36 (4), 612–635, 1982.

Thursday, 29 May 2025

 AI generated podcast 
"Advancing Artificial Intelligence with Kant"

"To know anything in space (for instance, a line) I must draw it" 
Kant, I. , Critique of Pure Reason, B 137/138

Listen on Academia.edu to an AI generated podcast in English of my German paper of 1991

MIT KANT FORTSCHREITEN IN DER KÜNSTLICHEN INTELLIGENZ

[paper published in KANT YEARBOOK (Kantovski sbornik), 16, 75-84 (1991)]

Click here to access the Academia page with my paper and podcast

then click there on the field "Listen to podcast summary" 

ABSTRACT

Through "knowledge processing," AI (artificial intelligence) intends to realize the functions of human thought (and not just its results) in computers. "Knowledge representation" is the main problem today, for which many individual detailed solutions have been found in practice, but the fundamental questions remain unanswered.
With the help of Kant's analysis of the conceptual faculty in the "Critique of Pure Reason," a new methodology—called "critical methodology"—can be developed for basic research in this field.
Previous AI models neglect the conceptual faculty, limit themselves to the concepts themselves (symbolic dimension, formal logic), and one-sidedly favor an analytical (passive) object reference (AI dogmatism).
Critical methodology emphasizes the importance—for knowledge processing—of the functions from which concepts arise, introduces the additional object dimension (two-dimensional, transcendental logic), and adds a synthetic (productive) object reference.

The goal is both an "operational knowledge representation" in which knowledge of every kind is represented as a structure of synthetic operations, and an integrated model of knowledge (symbol+object, synthetic+analytic). 



 

Friday, 7 February 2025

My first meeting with Silvio Ceccato - A remembrance of 1981

Milan, February 7, 1981

“The mind constituted itself in a magical way, without awareness”: I find this phrase by Silvio Ceccato transcribed in my notes from one of his conferences in 1981. In 1980 in Zurich, where I had been living for 10 years, a friend (Luciano Persico) had told me about Ceccato and I was fascinated by him.
Shortly after, during the summer holidays, while I was browsing in the bookstore, I found "La Terza Cibernetica" (“The Third Cybernetics”, Ceccato, 1974). Reading this book was like a revelation for me, I found in it what I had unconsciously been looking for for years.

At the end of 1980, after reading other books by Ceccato, my enthusiasm was such that I decided to contact Ceccato himself. On January 3, 1981, I wrote him a long letter, declaring among other things that I even thought I had found my calling and that I dreamed of being able to collaborate with him. Ceccato replied to me on January 9, we exchanged some letters and at the end of the month he proposed to meet in Milan on the occasion of a conference he was going to hold at the Hotel Palace (7.2.1981) entitled “Magic seen by a cybernetician”. He wrote: “it will finish at 5 pm and we will be able to chat.”

During the conference, as usual, I took a lot of notes. I was so focused on writing that in the end I felt like I had understood little or nothing. I was so ashamed of it that when the conference was about to end, I even thought about leaving the room (!) and going home without speaking to Ceccato. I was saved by my sense of duty: I had confirmed to Ceccato that I would be happy to meet him after the conference and I had to fulfill this commitment!

That meeting changed my life! It was the beginning of a collaboration that lasted for 17 years (until Ceccato's death, 12/1997) during which I gradually managed to lift the "veil of ignorance" that initially prevented me from fully understanding Ceccato's thought and set up the basis of my future studies dedicated up to today to the cybernetics of the mind.

Thursday, 15 August 2024

LTW - SIX BASICS EN-GR

Ζώντας σε δύο κόσμους  - ΕΞΙ ΒΑΣΙΚΑ ΤΗΣ ΘΕΩΡΙΑΣ ΤΗΣ ΓΝΩΣΗΣ ΜΟΥ

Living in Two Worlds - Six basics of my knowledge theory EN-GR

Εικόνα 1:  Έξι βασικές αξιώσεις του LTW

 

  1. ΚΟΙΝΩΝΙΑ & ΓΝΩΣΗ - Για να κατανοήσουμε καλύτερα ο ένας τον άλλον πρέπει να κατανοήσουμε καλύτερα τον ανθρώπινο νου και την κύρια λειτουργία του: τη γνώση.

    SOCIETY & COGNITION - For better understanding each other we need to better understand the human mind and its main function: knowing (cognition).
  2. ΥΛΗ & ΜΟΡΦΕΣ - Η γνώση έχει δύο κύρια συστατικά: ύλη και μορφές (όπως πρότεινε ο Αριστοτέλης). Δεν διαχωρίζουμε όμως τις μορφές από την ύλη. Αντίθετα, προσθέτουμε στην ύλη τις μορφές που δημιουργούμε (νοητικές κατασκευές, δημιουργίες)

    MATTER & FORMS - Knowing has two main components: matter and forms (as Aristotle suggested). But we do not separate forms from matter. Instead, we add to matter the forms that we create (mental constructs).

  3. ΚΑΘΟΡΙΣΜΕΝΑ ΠΡΑΓΜΑΤΑ - Η ύλη γίνεται καθορισμένο πράγμα μέσω μορφών: αφού εγώ είμαι ο δημιουργός της μορφής, το καθορισμένο πράγμα είναι πάντα ένα πράγμα-για-μένα

    DEFINITE THINGS
    - Matter becomes a definite thing by means of forms: since I am the creator of the form, the definite thing is always a thing-for-me.

  4. ΜΟΡΦΕΣ & ΠΡΑΓΜΑΤΑ - Η μορφή, που είναι η ουσία ενός καθορισμένου πράγματος (Αριστοτέλης), δεν υπάρχει στην ύλη έτοιμη να διαχωριστεί από αυτήν και να την πάρει: αντίθετα, είναι δημιούργημα του νου.

    FORMS & THINGS -
    The form, which is the essence of a definite thing (Aristotle), is not there in matter ready to be separated from it and to be taken: instead, it is a creation of the mind.
  5. ΔΥΟ ΚΟΣΜΟΙ: ΦΥΣΗ & ΕΜΠΕΙΡΙΑ - Εάν η ύλη γίνεται ένα καθορισμένο πράγμα μέσω των μορφών μου, τότε ζω σε δύο κόσμους: τον κόσμο της ύλης (φύση) και τον κόσμο των μορφών μου (η εμπειρία μου). Και το ίδιο για τον καθένα μας.

    TWO WORLDS: NATURE & EXPERIENCE - If matter becomes a definite thing by means of my forms, then I live in two worlds: the world of matter (nature) and the world of my forms (my experience). And similarly, for each of us.

  6.  ΑΝΕΠΑΡΚΗ ΕΠΙΓΝΩΣΗ - Δεν παρατηρούμε ότι ζούμε σε δύο κόσμους γιατί δεν έχουμε επαρκή επίγνωση του τι κάνει ο νους όταν γνωρίζει.

    INSUFFICIENT AWARENESS - We do not notice that we live in two worlds because we are not sufficiently aware of what the mind does when it knows.