I didn't comment on that exchange, but the problem I kept seeing in all of it was that Doron wants to difine Local and Non-Local independently of each other, and I don't think that can be done. For the same reason that these concepts are fundamental enough for Doron to set as interactive pairs, they have no meaning apart from each other. Outside of what Doron calls the "Researchable," they don't exist as self-sufficiant "atoms."
I've pointed out before, but it bears repeating:
. and ____ (point and line) as used by Doron are not mathematical signs. They are symbols he uses metaphorically. Often he uses math language to speak of what is not analytical content but what we can only speak of in a metaphorical way (qualities of consciousness).
This throws everybody for a loop.
But part of the fun of it all is that here is a curious thing: a concept of number that is not only quantity but quality.
Early on I asked Doron how he'd go about building an arithematic or algebra upon his ONNs. I see now that there is no way to manipulate and determine non-local presences of a given set. Doron has taken his ONNs as far as possible in terms of serial usage.
Their value then for him is philosophical. It's his way of speaking of the self as both a distinct element and a transcendent relation.
It's all still a very odd jigsaw puzzle.
The picture on the cover shows a spiral galaxy, but the pieces inside are not just black with stars, but there are red ones, green ones, and it seems more than one set of puzzle pieces have been thrown together in the same box.
I get groups of pieces connected, but can't find their connection to the others. When I think I'm on my way to the big picture, Doron sweeps it all off the table and tells me to stop using "step by step thinking."
So, here's my new idea, my new art concept. I'll just paste the pieces in rows on a large board without letting them touch. All parallel, yoiu see.
Take that, Jackson Pollack!
