Fisher,
I'm getting to this late in the evening, so I'll just make a few comments, and get things underway.
That's a good analogy, at least as I understand basic Doron.
We can focus and slide the slit and tally, so to speak the results we see from the various positions. And this "tally" amounts to Doron's Organic Number fractual tree.
Ok. So far, this seems compatible with my set-slit-Set analogy.
Earlier on I thought Doron intended the "parallel" aspect of his Organic Numbers to mean potential or virtual membership.
That "in parallel" denoted a number in virtuality with the potential of becoming "serial" or number as we know it.
But Doron more often looks at it from The Set (uppercase) side where all the elements are actual, rather than potential, members. And where they are regarded as simply numbers, both parallel and serial.
(There's a bluring here that I'm having a problem with. It becomes just numbers in an off site location, rather than the idea of meta or uber elements.
But the best way to approach his parallel/serial distinction is to use the body anaolgy.
I can count the individual cells.
Or I can count the organs.
Or I can count the systems.
When I add up the organs, I get a serial result.
I have ignored the number of constituent cells, so that number remains in parallel.
If I count the systems, there's a new and different serial result, and now the number of organs is in parallel.
Each of these different sums is ever present in The Set, though the set (lowercase) has a limited range.
Doron regards The Set as the reality, while the set is a mere shadow.
Your slit is on a pair of spectacles you are wearing.
The set (lowercase) is an illusion based on a limitation of your vision.
So your set (lowercase), no matter how your limitation defines or confines, isn't really complete. You really ought to regard things from The Set or Non-Local side. or what it is apart from the slitted specs.
Sure, you can have your different sums for practical accounting, but his Organic Number Tree wants to make you see that all the other sums are present as well. They are always present.
Though you've counted the organs but not their individual cells.
The number of cells is there to be reckoned with.
Reckoned though not counted.
“Parallel”
“Serial”
As usual you have to set aside the conventional meanings to get anywhere in Doron.
The uncounted cells are in parallel. Number in that aspect is merely noting their “existence” or the “existence” of such a number. Here is where he makes of “cardinality” a “measure of existence.”
I'm getting to this late in the evening, so I'll just make a few comments, and get things underway.
That's a good analogy, at least as I understand basic Doron.
We can focus and slide the slit and tally, so to speak the results we see from the various positions. And this "tally" amounts to Doron's Organic Number fractual tree.
Ok. So far, this seems compatible with my set-slit-Set analogy.
Earlier on I thought Doron intended the "parallel" aspect of his Organic Numbers to mean potential or virtual membership.
That "in parallel" denoted a number in virtuality with the potential of becoming "serial" or number as we know it.
But Doron more often looks at it from The Set (uppercase) side where all the elements are actual, rather than potential, members. And where they are regarded as simply numbers, both parallel and serial.
(There's a bluring here that I'm having a problem with. It becomes just numbers in an off site location, rather than the idea of meta or uber elements.
But the best way to approach his parallel/serial distinction is to use the body anaolgy.
I can count the individual cells.
Or I can count the organs.
Or I can count the systems.
When I add up the organs, I get a serial result.
I have ignored the number of constituent cells, so that number remains in parallel.
If I count the systems, there's a new and different serial result, and now the number of organs is in parallel.
Each of these different sums is ever present in The Set, though the set (lowercase) has a limited range.
Doron regards The Set as the reality, while the set is a mere shadow.
Your slit is on a pair of spectacles you are wearing.
The set (lowercase) is an illusion based on a limitation of your vision.
So your set (lowercase), no matter how your limitation defines or confines, isn't really complete. You really ought to regard things from The Set or Non-Local side. or what it is apart from the slitted specs.
Sure, you can have your different sums for practical accounting, but his Organic Number Tree wants to make you see that all the other sums are present as well. They are always present.
Though you've counted the organs but not their individual cells.
The number of cells is there to be reckoned with.
Reckoned though not counted.
“Parallel”
“Serial”
As usual you have to set aside the conventional meanings to get anywhere in Doron.
The uncounted cells are in parallel. Number in that aspect is merely noting their “existence” or the “existence” of such a number. Here is where he makes of “cardinality” a “measure of existence.”
