How do we get Multiplicity from Unity?
He's using the mathematical definitions.
Presumably, anyway. The fact that he keeps capitalizing mathematical Concepts is a bit of an indicator of his general mindset when it comes to this sort of thing, and may mean that he doesn't actually accept the general definition, or attaches some sort of additional, woo-centric value to it (in fact, I think this is highly likely given his general attitude).
That means
"unity" is "one", and
"multiplicity" is "the number of times a certain condition is true".
His "theorem" is actually not particularly complicated, except in that it appears self-contradictory at points and lacks an actual definition for most of its terms, so, when it is actually examined critically, it's just a string of gibberish.
Neutral monism is just the claim that materialism and idealism are both false, and the universe is made up of a third, usually unnamed "true" substance. It has all the problems that idealism has, plus a slew of its own, as it posits the same unwarranted distinction between material and mental phenomena that idealism does, then goes on to make an unwarranted claim for the existence of a third "supersubstance" that is never defined, given any sort of evidential support, or even shown to be a coherent idea.
Take doronshadmi's "theorem" and run it through a translator, and you get:
- Physical and mental phenomena are both just instantiations of consciousness. This is just the basic premise of neutral monism, where the posited supersubstance is designated "consciousness". This leaves the issue of the unwarranted distinction between physical and mental phenomena, but also raises two new questions: what is the definition of "consciousness" in this model, and what sort of mental phenomena are distinct from it? Beyond that, there's the standard issue with neutral monism: what evidence is there for consciousness being the "true" substance of reality?
- Consciousness' "meta aspect" is actually its single unit - a discrete instance of consciousness, like the Planck length is a discrete unit of space or an apple is a discrete unit of apple...
...and that's where it breaks down, more or less. "Meta aspect" is a nonsense term, "naturally unbounded by its multiple expressions" is a nonsense phrase, "beyond multiplicity" means nothing, and so forth.
What doronshadmi is
trying to say is that all of reality is, in truth, just aspects of consciousness, which is limitless and is not defined solely by physical and mental phenomena, even assuming that they are separate. But he doesn't define his terms, he doesn't offer any evidence, and he doesn't understand math.
He tries anyway, though. He smashes a bunch of nonsense phrases together, slaps an arbitrary (and nonsensical) binary tree diagram on there, and pretends that it all means something.
Thus, the final result is word salad. Only its original premises, which are not doronshadmi's own reasoning, even border on coherence, and even those fail to define their terms or present any evidence for their claims. The entire thing falls apart even before factoring in his nonsense.
Yes, doronshadmi is demonstrably bad at constructing mathematical models of things like this, particularly when the concept of infinity is involved. Yes, everything in his "theorem" is demonstrably nonsense. But like I've said many,
many times already, it doesn't actually matter.
Neutral monism doesn't need his help to collapse under the crippling weight of unjustified assertions. It does that perfectly well on its own.