..because there are not enough labels being thrown around for this confusing subject already. Just so happens to be one of those topics where you must reinvent it in your own flavor to fully grasp its universality, paradoxically... but not really.... but if I point you in any direction... then that pointer will have come from somewhere.... so...
Included in this aggregate: Russell's Logical Types($), Bateson's Learning levels(*), Yudkowsky's Inference Levels(#), and Jacob's own spin(&)
See Kegan for a more social flavor: viewtopic.php?p=168588#p168588
($) Mathematical Logic: https://en.wikipedia.org/wiki/Principia_Mathematica ... I have not read.
(*) Cybernetics: https://epubs.surrey.ac.uk/1198/1/fulltext.pdf ... Great read.
(#) Decision Theory: https://www.amazon.com/Map-Territory-Ra ... 1939311233 ... Cannot find what I am looking for... he really should have made an index.
(&) Cybernetics: viewtopic.php?p=178280#p178280 ... An ex-physicist reminding a young philosopher reality is a thing.
- Bateson: …is characterized by specificity of response, which - right or wrong - is not subject to correction.
- Jacob: Being able to respond.
-> A0 ->
- Bateson: …is change in specificity of response by correction of errors of choice within a set of alternatives.
- Jacob: Being able to modify response (acting on feedback)
From an external perspective this can appear in operant conditioning and is strongly associated with behaviorism:https://en.wikipedia.org/wiki/Behaviorism
A1 -> A0
- Bateson: …is change in the process of Learning I, e.g. a corrective change in the set of alternatives from which choice is made, or it is a change in how the sequence of experience is punctuated.
- Jacob: Being able to modify the feedback based on response (this is called training)
Can be observed in a curricular or corporate setting whereby there are hidden rules to success. There may be a syllabus that encodes these rules, but the expectation of the setting is that you must derive your own [A1] conditions for success. Associated with most of cognitive psychology: https://en.wikipedia.org/wiki/Cognitive_psychology
A2 -> (A1 -> A0)
- Bateson: …is change in the process of Learning II, e.g. a corrective change in the system of sets of alternatives from which choice is made.
- Jacob: Being able to modify training based on feedback (this is called learning)
This can be found in PhD programs or within an entrepreneurial setting where the curriculum is dropped and students are simultaneously expected to do research and to be teachers of their own curriculum. The implications of teaching are not fully comprehended and research is not truly original. Roughly associated with metacognition: https://en.wikipedia.org/wiki/Metacognition
A3 -> (A2 -> (A1 -> A0))
- Bateson: …would be change in Learning III, but probably does not occur in any adult living organism on this earth.
- Jacob: Being able to modify learning based on feedback (this doesn't really have a name, but is usually referred to as paradigm-shifting, mind blowing, meta-cognition, ...)
Teaching is now fully objective and the implications are comprehended. Not only can A4 optimize their curriculum but they can do so for the purpose of creating a paradigm-shifting context. Not only transforming their students but themselves in the process. Capable of truly original research. See paradigm shifts: https://en.wikipedia.org/wiki/Paradigm_shift
A4 -> (A3 -> (A2 -> (A1 -> A0)))
- Jacob: Being able to modify that based on feedback (this doesn't even have a reference; we can call it meta squared, but that doesn't really tell us anything).
What would this mean? All such paradigms would be objects, and the subject could choose where and when to establish a particular paradigm. For what purpose would be incomprehensible. Time would be completely non-linear: cycles upon cycles upon cycles..
A5 -> (A4 -> (A3 -> (A2 -> (A1 -> A0))))
As you can see, at 4, Bateson believed this level unlikely in humans whereas Jacob associated it with a few [uncommon] labels. It appears metacognition in the literature tends to reference 3, whereas references to 4 are rare. Anyway, I encourage you find your own system and/or help describe existing systems.