RobertJasiek wrote:
1) The other black corner stones have the major purpose of protecting territory.
2) Their outside influence is dominated by the outer black influence stone and the white influence stones.
3) Therefore they are not significant as outside influence stones.
Sorry to harp on this like that, but I honestly do not see a difference in this respect between, say, White 4 or 6 and Black Q16. None of these stones exert direct influence, but all of them certainly contribute to the stones which do excert influence (and the overall structure) to be stronger. So if White 4 and 6 are counted, why not Black Q16? Is that because, as you say, it secures territory and therefore cannot be counted towards influence? But can't a stone fulfill two functions equally well?
From what you say, this is what I understand:
Black Q16 has the major purpose to secure territory, and the influence is dominated by Black O17 anyways, thus Q16 is not counted.
White 4 has the major purpose to make the White group strong, and in spite of influence being dominated by other White stones, White 4 is counted.
So the main difference is that Black Q16 secures territory while also strengthening the group, and White 4 strengthens the group while also securing territory (although less than Q16).
So where is the line that separates what you count and what you do not count as "influence stone"? Is it "more territory" vs "more strength? Or "mostly territory" vs "mostly strength"?
Or is there another metric, which you did not provide, which makes the support stone on White 4 count as "influence stone" while Black support stone at Q16 not count?
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PS>
As a matter of fact, from my intuitive perspective, I would see that Black Q16 does exert some small measure of influence, while White 4 does not. Both stones strengthen the groups they belong to. What's more - again, from my intuitive perspective - I would say that White group exerts exactly the same influence with or without White 4, while Black's influence is slightly lower without Black Q16.
In my intuitive approach, White 4 contributes not to what I would call "influence" but to "strength" - as in "projecting strength" - by making the White group stronger. The concepts are related, but not the same. I am not sure if this is also part of your theory, but I found such distinction useful in the past - between "influence" and "projecting strength", and how the stones contribute to each of those concepts.
In my mind, if you assume that White 4 contributes directly to influence, then is that safe to assume that you consider those two concepts one and the same? Or do you make other distinctions which I do not see here? Or are these concepts in this form meaningless to you and your theory?