Is this current derail to continue, or shall we return to the root topic?
As near as I can tell, the root topic was never prime numbers, nor limits, nor the Cardinals, nor the Red Sox. It was this local and non-local pair that doron is unable to explain.
It would be a shame if yet another of doron's threads got closed again just because he himself wasn't able to stay on topic.
Even though this thread substituted "Element/Relation Interaction" for Doron's "Local/Non-Local Complementation,"
The matter of Local vrs. Non-Local and the two as interactive pairs remains fundamental to what Doron is about.
I think I've always gotten him about that, though I've had difficulty fitting it together with the other fragments of his program.
It's easier to get his intent if you aren't coming from a place of mathematical intellect but from an altered state of consciousness:
One I've experience in meditation, exaustion, or once at the shock of romantc rejection.
Analytical thought, linear thought, discursive and discriminating inteligence takes a holiday. Your feel discrimination between yourself and you environment brake down, so that there is no Inside vrs. Outside. There's no over there vrs over here. Nothing has locality, there is just a seamless presence.
Of the individual vrs the whole, there are two modes this very temporarily takes. There may be only the whole of which your self has become nothing. or the self may expand to be the whole. At either of these poles, there is no ego self. The first is pure Locality. The second is pure non-locality. Actually you can turn that around. It amounts to the same, as far as experiencing your self.
Doron treats these two as polar principles. Together they yield the consciousness of self.
Non-Local/Non-Local and Local/Local do not of themselves yield self and cognition.
But there is also Local/Non-Local and Non-Local/Local (amonting to the same)
that yield varying degrees or states of cognition.
Spend a few sleepless nights, and you might experience a state of mind where the elements of your experience are individualized but not classified. Each is local to itself but not contained by any boundary. They are neither within or without any group, but are still individual.
Doron says they are "parallel." They just stand there as they are not summed up, counted, or collected. Each is just what it is without comparison, contrast, and classification.
There they sit ready for some wild new association once linear or serial thinking grabs hold of them again.
But Doron makes a premptive grab that attempts to reckon them though not yet couint them.
So he posits a new kind of Three. Conventional "Serial" Three has a count of three items. This is a Three-Three in Doron's book. But he also offers, say. a Three-One or a Three-Two (This nomenclature could be turned around and still have the same idea.) where an item or two is Non-Local, that is it remains independent of the serial collection.
In Three-Two, two items are considered serially, while one is still parallel and non-local (being both in and outside the Three.) Ordinary number manipulation would say what we have here is simply two.
But Doron wants to agknowledge all of what linear intelligence ignores.
Let's take that set of all natural numbers less than 4 and greater than 2.
{3}
Conventionnaly speaking it's complete.
But enter Doron's "Organic Natural Numbers."
By their reckoning there is not just Three-Three (Or 3_3) to be reckoned with. But there is 3_2, 3_1, a 6_3, and when you consider all the other numerical combos, no end of ONNs potentially, by virtue of parallel
non-locality, present.
Everything you aren't paying attention to is polking you on your back asking to be recognized but not added to your reckoning.
I suppose this could get pretty cumbersome, but Doron did respond to me that when you ask "How many?" it's the serial aspect that counts as the answer: the 3_3s, 4_4s and such.
Now a non-local element is not simply one that isn't serially collected and counted. The quality of non-local means that it's not merely outside but it is inside and outside and neither inside nor outside.
It's simply present.
I hope this raises the questions that should be asked of Doron.
As for the rest of his metaphorical useages and dirivations,
I suggest you rent David Lynch's Inland Empire and watch it about half a dozen times.
