... which are not drops of ice but take on mathematically symmetrical fractal forms.
Except they aren't actually fractals. Please look up the term "fractal" again.
The axiom is "necessity and sufficiency"
That statement in incoherent, because "necessity and sufficiency" is syntactically not an axiom. You are making no sense. Please look up what an axiom is!
But I never claimed that.
Post #599: You say that your axiom becomes expressed in the physical world.
Post #610: I point out that this presupposes that abstract things can have a physical presence (or influence).
Post #611: You respond with the speculation that "the absence of a thing creates a demand to be filled".
Post #623: I point out that the need to fill up a space doesn't somehow allow abstract things to become physical.
In other word, when I said that you presupposed abstract thing can have a physical presence, you did not only not deny that, you in fact gave a speculation of why you thought it might be true.
Unless you are admitting that your response in post #611 was a complete non-sequitur, in which case I would like a proper response to the point I raised in post #610.
My claim is that physical things behave in accordance to a form of mathematical imperatives.
So you are giving abstract things (mathematical imperatives) a physical presence? In other words, you say that maths influence reality.
I think I qualified the comparison.
Perhaps you didn't understand my objection. Your statement is incoherent. As it is written, it is nonsense. You are equating "movement on in the direction of greatest satisfaction" with "necessity and sufficiency". The latter is a logical operator (not the proper term, I know), a logical relation. It's similar to "if and only if". That cannot be a movement, or some natural state. It's like saying that: the movement may be related to "therefore". It means nothing.
Just the word "true" is sufficient to confirm the correctness. The second part is irrelevant because I already qualified the difference between the axiom of "necessity and sufficiency" and the natural tendency of "movement in the direction of greatest satisfaction", i.e. the (mathematical?) state of lowest energy.
So you admit that an axiom is not an action, and that you know it. However, you still equate the two. Please explain to me how a physical action is similar to a logical axiom.
If I have not explained this correctly, IMO, neither "awareness" or "quantum state" require intelligence or even a mental process.
I agree with the latter, but the former is obviously false using the standard definition of awareness.
The slime mold has awareness, but no brain (intelligence)
This is begging the question. You have not proven it has no mental process or that is has awareness (using the standard definition of the term). You simply assume it does, and then prove it using that assumption.
and a quantum state may even behave in a counter-intuitive manner altogether.
So? Where is the natural law that things must behave as we humans intuitively expect them to behave? Why would this even be relevant? Why are you even bringing this up?
The following example may show the apparent absence or opposite of intelligence or mental process, but I am willing to bet there example has a mathematical explanation.
https://www.facebook.com/Physics-Awareness-426877257462319/
How is this relevant? Why would objects behaving according to their properties be related to a mental process?
I won't dispute that. And the above demonstration may well explain that at quantum scales things start to behave very differently than what would be expected in physical reality.
Again, why is this relevant? The breaking down of our human intuition doesn't signal intelligence or a mental process, or even mathematics being real.
But neither is an example of a singular miraculous event.
I didn't claim that. Remember, don't start killing people in the streets!
Again I refer to the simple example above.
Slime molds are not inanimate objects, so your extrapolation to inanimate objects is without basis.
We agree then on that part.
(Note that the "right" was meant to only agree with part of your statement, not the full statement.)
I don't believe I claimed that. This was my post;
I see no conflict.
Erm, please read your own post #611. We were discussing whether quantum states have intelligence. You responded to that with that whole slime mold bit. Are you now saying that isn't at all relevant to the discussion we were having? Are you admitting you tried to derail the conversation?
How about "recreate". The term "division" (such as in cell division) is not appropriate in the context I was using the term.
Better, but still not 100% there IMO, because the chorine atom was there already. "Produce" is probable closer.
I should have used the word "predation" and explained the context, my bad. As I understand it, Robert Hazen spoke of forms of foreign chemicals "invading" self-replicating polymers and "predation" by larger molecules in the earliest evolution of, and natural selection in bio-chemistry. I used the term "predation" in context of "robbing". This needs not be intentional at all. It can be just a matter of chemical compatibility
I believe my example of the ozone depletion by chlorine atoms, was descriptive of such a process.
OK, good. I do want to ask you to refrain from using the more poetic usages of word, because you are already using so many word in non-standard ways, it gets confusing quick. (This being an excellent example.)
How is this relevant? We were talking about intelligence, and you bring up evolution. That signals you are talking about intelligent design. Unless you now admit you were (perhaps inadvertently) trying to derail the conversation?
David Bohm called it "insight intelligence", but I am sure he was not speaking of a sentient motivated God, but a self referencing mathematical hierarchy of orders. i.e pseudo-intelligent.
btw. Bohm and Einstein were very good friends and had regular discussions on the nature of the universe.
Which , IMO also answers the question of interpretation of "insight intelligence".
Intelligence requires a mental process. Are you arguing intelligent design then? Or perhaps a universally present consciousness field?
It measures the "order of continuous progression and duration of change", or .
https://www.britannica.com/topic/chronology
Ah, so according to your own given definition you were wrong to equate it to a mathematical function.
Sorry , (habit), I should have said physical "action" in accordance to a mathematical "function".
OK
The apparent intelligent behavior of a brainless Slime Mold? A hive-mind which behaves by a form of pseudo-intelligence, where the parts are not intelligent in and of themselves, yet functions in a mathematical manner, such as practicing horticulture, herding, air-conditioning, creation of mathematically precise honey combs.
This is called "emergence". Please re-loop up the term.