I don't have enough time at the moment but I can try to create some simple 
examples with the help of Claude and Gemini in the next days. As they say all 
models are wrong but some are useful. I have the feeling this model is useful 
but I need more time to answer the questions-J.
-------- Original message --------From: glen <[email protected]> Date: 10/6/26  
4:39 PM  (GMT+01:00) To: [email protected] Subject: Re: [FRIAM] A field theory 
of understanding OK. That's somewhat helpful. But what we need are numbers, 
right?So let's go with H_k(•) being a/the primary binding point. How do we 
measure it? What is it in the person's physiology that we measure? It seems 
like the validation has to occur in the distance measure:    d(x,y) = min_Q∈G 
max_k || H_k(y) - QH_k(x)Q^-1 ||So we need real world bindings to those 
symbols. x,y ∈ people, whatever that means. H_k is the change in the state of 
the person after *returning* to a prior context. Let's just allow the state (U) 
to be whatever for now, glucose levels, EEG, survey measured Virtue matrix, 
whatever. We simply assume it's a high dimensional, dense space. Q is just a 
basis change for that space. Yeah, therein lies the assumption that we can 
define such a space. But under all the assumptions, it seems like the simplest 
operator.All those bindings seem imaginable, to me. The problem I have is the 
loop. To what do we bind these "closed loops"? I don't think we can bind them 
to things like loop k = 1 = {home, shower, school}, because H_1 may be 0 one 
day (on "autopilot") but H_1 >> 1 on another day (you were beaten and had your 
lunch money stolen).We might be able say k = 1 = {healthy social support group, 
hypercompetitive work colleagues, casually competitive Tennis group}. These 
supernodes may make sense. One person's U() may not be impacted by the higher 
order effects of competition: U_0→1 = 0. Another may not need social support: 
U_2→0 = 0.But if we compare those two people H_1(x) = QH_1(y)Q^-1, where Q 
swaps one node for the other. But we would hardly consider those two people to 
have equivalent worldviews. Or, going back to the bullying example, if X is 
bullied on Tuesday and Y is bullied on Wednesday is H_1(x) = QH_1(y)Q^-1 on 
Thursday? Or maybe it takes some time? Maybe H_1(x) = QH_1(y)Q^-1 a week or so 
later after the initial shock wears off? Or maybe if you shift Y's worldview by 
one autopilot day, *then* it's equivalent to X's?I guess my point is that for 
us to know whether the structure of the formalism matches, in any way at all, 
the structure of the system being modeled, we need a whole "modeling relation". 
Encode the natural system into the formalism. Decode the formalism into the 
natural system. A "data first" approach defines the [en|de]coding, then 
searches for inferential structures on either side. I'm OK with your formalism 
first approach as long as you commit to the followup of searching for 
[en|de]codings. Don't bail halfway through and call it "done". 8^DOn 10/5/26 
2:28 PM, Jochen Fromm wrote:> Good question. Yes, without experimental 
confirmation it is just fancy mathematics. The model used for the proofs is an 
abstract model. It describes how mindsets/worldviews of adaptive agents diverge 
and converge.> > In a simple toy model it works like this:> > > A 
context/nodecan be: the places the agent moves through like home, school, work, 
street.> > > An edge means stepping from one context to another: home-street, 
home-work, ....> > > Moving along the edges changes the internal valuation 
matrix of the agent. Every time an agent moves along an edge, their internal 
valuation frame gets rotated or updated by an edge matrix. The experience of 
making that specific transition reshapes how they evaluate things.> > > If we 
reach the same context again we get a loop. A holonomy H measures how a 
valuation changes after a loop of contexts. It is the total, combined shift in 
the agent's worldview after completing that full loop.> > > A "breaking bad" 
model of two agents would include two agents who start with slightly similar 
worldviews. One interacts with a group that thinks breaking the rules is bad, 
and the other joins a group that believes breaking the rules is necessary to 
survive because the world is cruel or rules have been imposed by bad people.> > 
> A more complex model would be cultural dissemination. As you know Robert 
Axelrod created an agent-based model of cultural dissemination based on local 
convergence global polarization. It would be interesting to combine his model 
with the new gauge theory model.> > > Other areas of experimental verification 
would be> > + Group psychology and organizational psychology (group formation 
and fragmentation, group influence in individual)> > + Political science 
(emergence of new movements, radicalization pathways, the threshold of schisms, 
etc)> > + Sociology (what holds societies together, and what is the role of 
socialization and institutions in maintaining social cohesion, to what extent 
is the individual shaped by society)> > > -J.> > > > -------- Original message 
--------> From: glen <[email protected]>> Date: 10/5/26 8:00 PM (GMT+01:00)> 
To: [email protected]> Subject: Re: [FRIAM] A field theory of understanding> > 
I haven't finished reading Jochen's theorems yet. But it seems obvious to me 
that he's not claiming experiences are private so much as they are unique. It 
seems more about irreversibility or unreachability than closedness.> > And I'm 
no expert on Wittgenstein, but my own perspective has been that his dictum was 
more about coherent form as opposed to ontology. I.e. if your 
language/formalism is inadequate for its target, then it's useless for talking 
about that target. It's similar to Rosen's argument that predicativity is 
inadequate for describing complex systems. Maybe some of us just toss up our 
hands and give up when our language seems inadequate. But others of us develop 
new language. And still others push the current language as far as it can 
possibly be pushed until we're convinced of its [in]adequacy.> > But back to 
the first theorem. This seems much closer to a theory (by which I mean a body 
of assertions falsifiable through measurement). But what still seems missing 
are the bindings. We don't need bindings for *every* symbol in the math. Some 
symbols can be internal. (What that _means_ is debatable.) The "numerical" 
sections for both give a good indication of what we have to bind. Theorem 1 
uses {x,y,z,roll,pitch,yaw,t}. Theorem 2 doesn't seem to have a clear binding 
point. Maybe I just missed it. So we can stick to T1.> > I find the binding 
mysterious. I have no idea what the points in the space might be. It seems to 
rely on the word "concept", as in "returning to the same baseline situation or 
concept". But that seems like assuming the consequent to assume something like 
a concept, then prove something about independent loops returning to it. So 
that can't be the binding point. Maybe H_x is the binding point, some kind of 
Δconcept. That's easier to bind because we *can* measure the changes in the 
brain/CNS before an after an experience (e.g. showing you a picture while 
you're in the MRI machine).> > So my question is: Which of these symbols are 
bound to measurements we can (or may one day) be able to make? Without that 
binding, all this math is merely decorative, great for hypnotizing your 
math-envious friends but useless for science.> > On 10/4/26 7:40 AM, Eric 
Charles wrote:>  > As some of you know, I recently finished a draft of The Book 
(the one I have been writing for around 15 years now, with a foundation in 
Nick's writing, but extended beyond that). I have circulated drafts to some 
readers... so if any of you are interested....>  >>  > This appears in the 
epilogue and speaks directly to the question here:>  >>  > Wittgenstein laid 
down a gauntlet to 21^st century philosophers, “Wovon man nicht sprechen kann, 
darüber muss man schweigen,” which is often translated to, “About what one can 
not speak, one must remain silent.” This has been broadly taken to indicate 
that we should shut the heck up about a wide range of topics regarding the 
mind, under the assumption that /all/ such talk is a prime example of 
that-about-which-we-cannot-speak. /If/ mind-body dualism is true, either in its 
classical form or its modern neural form, then your “feeling of anger” or 
“experience of blue” is something that exists only in your mental space, that 
only you could access, and my “feeling of anger” or “experience of blue” is 
something that exists only in my mental space, that only I could access. And 
/if/ that is how minds work, then we can try to talk about such things all we 
want, but ultimately it is /impossible/ for us to talk about them sensibly. 
Wittgenstein’s various thought experiments>  > demonstrated this repeatedly. 
Understood in this fashion — understood in combination with a /separate/ 
commitment to dualism — many people have understood Wittgenstein to be one more 
philosopher offering proof that a science of psychology is impossible.>  >>  > 
However, given [William] James’s influence on Wittgenstein, we do not see his 
dictum as pointing to a fatal flaw. Instead, we understand his dictum as 
pointing out a dilemma faced by the field of psychology: Those interested in 
psychology must /decide/ whether the phenomena they are discussing are, 
inherently, an example of that-of-which-we-/cannot/-speak, or if the phenomena 
they are discussing might very well be the types of thing we /can/ speak about 
sensibly.>  >>  > We assume, if you got this far, that you are the type of 
person deeply interested in psychological happenings. If, after all the 
scrutinizing you can muster, you believe you are interested in something that 
cannot be talked about sensibly, then you should find a way to deal with the 
inevitable sadness and disappointment of that situation, and then you should 
try to find other things to be interested in. We, however, prefer the other 
option. We believe psychological phenomena are the types of things that /can/ 
be talked about sensibly, and we have endeavored to show that such a position 
can work, in practice. We believe there is nothing within our attempt to 
understand psychological terms that is fundamentally different than Lavoisier’s 
attempt to understand the elements. Like Lavoisier, we may be right or wrong 
about particular details, but only in the types of ways that can be readily 
corrected over time… because the things we are talking about can be 
investigated readily,>  > with no magic or vital essence, or other mystical 
factors having been included.>  >>  > We believe that psychological phenomena 
are the types of things that /can/evolve, that /can/develop, and that /can/be 
studied. They are aspects of behavioral design. And that design deserves to be 
recognized and accounted for, to be both described accurately and explained 
well.>  >>  >>  >>  > Best,>  > Eric>  >>  >>  > 
<mailto:[email protected]>>  >>  >>  > On Sun, Oct 4, 2026 at 4:40 AM 
<[email protected] <mailto:[email protected]>> wrote:>  >>  >     If this is 
a polite way to say shut up then please ignore the rest. What Wittgenstein 
wants to say by "whereof one cannot speak, thereof one must remain silent" is 
apparently that things like anxiety, pain, nothingness, religion, the meaning 
of life, subjective experience or feelings lie outside the logical world and 
cannot be meaningfully described in words. That is one way to see it. I see it 
differently. The problem is if we remain silent we will never understand it. I 
prefer Karl Popper's optimistic view to the depressive pessimism of 
Wittgenstein. Popper argued that substantial, real-world problems exist in 
philosophy, not just linguistic puzzles as Wittgenstein claims.>  >>  >     For 
me the things we cannot describe meaningful (yet) are the interesting ones. We 
just need to find the right languages, theories, perspectives or metaphors. One 
useful metaphor for pain is as you said "an emergency organization of behavior 
in which the agent deploys physical and social defenses of various sorts". If 
we describe pain as a mechanism to protect a person it is personal by 
definition. And yet we all can understand what it is like to feel pain in 
general. If we watch the movie "Marley & Me" for instance we can understand 
what it is like to lose a loved dog because most of us have experienced such a 
loss of a cat or dog or hamster or horse ourselves ( by the way we have a new 
horse now named Mack which looks like this 
https://www.youtube.com/shorts/VDyNyTsMccg 
<https://www.youtube.com/shorts/VDyNyTsMccg> ).>  >>  >     This is in my 
opinion the solution to the hard problem: the film maker turns a 1st-person 
view in a 3rd-person view, the cinema conveys the 3rd-person view to the 
persons in the audience, and they are able to understand roughly 
what-it-is-like-to-be the lead actor because they see and hear what it goes 
through and they know what it feels like to experience pain, loss, and 
suffering. According to Wittgenstein cinemas should not be allowed to exist 
("one must remain silent"). But people like them because they want to know 
what-it-is-like-to-be someone else. Cinemas help to solve the hard problem.>  
>>  >     -J.>  >>  >     On 2026-10-04 03:35, Nicholas Thompson wrote:>  >     
 > You can say that. But you end by reasserting the privacy of pain. And>  >    
  > …>  >      >>  >      > Wovon man nicht sprechen kann, darüber muss man 
schweigen>  >      >>  >      > You just cannot have it both ways.>  >      >>  
>      > N>  >      >>  >      > Sent from my Dumb Phone>  >      >>  >      > 
On Oct 3, 2026, at 2:26 PM, [email protected] <mailto:[email protected]> 
wrote:>  >      >>  >      > Claude was not happy about the theorem proofs 
that Gemini created.>  >      > And Jon also mentioned that they are not 
waterproof. So I asked Claude>  >      > and Gemini if they could write a new 
proof. They could. I asked them>  >      > if we could use gauge theory to 
explain subjective experience - gauge>  >      > invariance to describe 
objectivity, and symmetry breaking for>  >      > subjectivity. Both Claude and 
Gemini said yes, and Claude was able to>  >      > formulate a proof that both 
could agree on (combining two AIs which>  >      > have different personalities 
often gives better results than just>  >      > using one). Gemini is curious 
and creative, Claude is accurate and>  >      > precise. The result was a proof 
for a theorem of a new "field theory>  >      > of understanding". I understand 
only half of the mathematics, but the>  >      > physicist who use gauge theory 
for quantum field theories also>  >      > understand only half of it.>  >      
>>  >      > I have uploaded the new proofs here. The theorems are named the 
same,>  >      > only the proofs are different. If they are more convincing 
than the>  >      > old ones, then the idea is to replace the proofs in the 
appendix with>  >      > this version. In my opinion the solution to the hard 
problem looks>  >      > similar to this - in combination with the other things 
written in the>  >      > rest of the book.>  >      > 
https://jochenfromm.github.io/PhilosophyBook/QualiaTheorems.pdf 
<https://jochenfromm.github.io/PhilosophyBook/QualiaTheorems.pdf>>  >      >>  
>      > Paradoxically the qualia part that is most mysterious for some>  >     
 > researchers is not a problem for others at all. Nick for example wrote>  >   
   > he does not believe in qualia and sees emotions as regulations. In a>  >   
   > post he argued "To me, pain is an emergency organization of my>  >      > 
behavior in which I deploy physical and social defenses of various>  >      > 
sorts.... To me, the question, “What is it like to be X?”, has>  >      > been 
fully answered when you have said where X-like people can be>  >      > found 
and what they will be doing there... for me, feeling is a kind>  >      > of 
doing, an exploring of the world". I would agree to most of it but>  >      > 
for me what an animal is doing alone gives us only a hint what it>  >      > 
feels. If a horse for example is injured and feels pain, it does not>  >      > 
scream or cry, and you see no tears. Only if you know the animal well>  >      
> you realize that the behavior is slightly different, for example by>  >      
> the things it is not doing. I am certain animals feel pain just as>  >      > 
intense as we do, but it is hard to recognize from th>  >      >  eir behavior 
alone. If it would be better visible, would we still eat>  >      > pigs and 
cows in large amounts (this reminds me of "Why We Love Dogs,>  >      > Eat 
Pigs, and Wear Cows" from Melanie Joy)?>  >      >>  >      > -J.>  >      >-- 
8647 ⊥ ɐןןǝdoɹ ǝ uǝןƃὅτε oi μὲν ἄλλοι κύνες τοὺς ἐχϑροὺς δάκνουσιν, ἐγὰ δὲ τοὺς 
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