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Now, it so happened that this concept he needed a word for might be slightly different that what the japanese pros/literature think of as "aji". And so John, always the conservative in such things, has an issue with that. Probably rightly so.
I don't think that this quite captures the real point at issue, which is not really about aji (and even less about RJ and JF). The deeper point is methodology of teaching, and since a certain controversial method pervades RJ's books, I think that qualifies, pace daal, as a vaguely related random point.
We have had many discussions about the pros and cons of the so-called oriental way of teaching (which RJ rubbishes as mystification but which I respect) and the western way (which RJ espouses, and which I also respect but only with a healthy dose of scepticism).
One of the foundations of my belief is mathematician Alfred Korzybski's treatment of General Semantics which he called, I think, the Structural Differential. I am a DDK in this area and only know Korzybski's work a little because he is the only westerner I've come across who makes sense of things like Lao Zi's "The Dao that can be spoken is not the true Dao; the name that can be named is not the true name" (and likewise Confucius's Rectification Names and Zen in general).
We appear to have a few people currently on this forum who do know about philosophy and related matters, so I may be able to nudge them into putting me straight (in layman's terms, please!), but for me the key point is as follows.
The universe is all-ecompassing reality (and by extension the go board is all-encompassing reality as regards go).
When we experience reality we can only know a tiny fragment of the whole. Well, that's also true, I think, of how most of us feel about a go position.
We are already one remove from reality. But if we then give our experience a label (a name such as 'aji' or a symbol) to help us deal with it, we are moving yet another level from reality.
A major point made by Korbzybski is that if we then make a statement about our label, which is at level L, we are
not making it at the same level, but at level L+1. In other words, we are moving further away from reality each time with each level of abstraction. This means that if you use a label (level L), define it (L+1), expand it as a concept (L+2) and then try to do things like create a way of counting it (L+3), you are going a long, long way from a universe of which you had only a sliver of experience to start with. I believe Korzybski called this "insanity" and that he recommended that the ideal situation was when a teacher could point and stay silent (and the pupil understands and also stays silent, of course). Which is essentially the oriental way of teaching go, which may seem mystifying to some, but we know it works.
I believe RJ accepts it works; he just believes his way is faster and more widely applicable, but we await the proof of that. His books are the first step in his proof, I suppose. As I said, I respect that approach, but only with very quizzical eyebrows.
I honestly don't expect to be disabused but one pertinent question that I can't answer is whether it really matters if we move away from Reality with increasing levels of abstraction. Could it even be advantageous? I am a "conservative" in the sense that I am a sceptic. Being a sceptic, I simply believe it is better if the levels of abstraction are reduced. One way of reducing levels of abstraction is to accept fuzzy assessments and fuzzy definitions. Since I believe that humans are actually biologically designed to operate this way, I am a great fan of that approach, though I do also believe that fuzziness should not mean a random mish-mash - there should be a clear focus, or directionality, in the thought and only the edges should be fuzzy. (I believe that is supported by the theory of evolution.)
It is my view that the orientals have already achieved an acceptable level of fuzziness for aji and thickness and several other terms, and that we have to hesitate before we plunge into another level of abstraction.
Computer chess may seem to make the case for refining many abstraction levels down to numbers, but I have bought a lot of chess books recently related to this issue, and I have seen no cases of computer chess theory throwing up anything applicable to an average human's way of playing chess. In fact I'd regard ultra-deep tactics and endgame tables as essentially not applicable even to pro chess players.
So where chess leads, go will follow, with knobs on.