“Colorless green ideas sleep furiously.”
This is the famous sentence used by Chomsky to debunk statistics as the basis for meaning in LLM AI language structures. Category theory in math claims otherwise
If our original words were “big” and “yellow,” we get something that, roughly speaking, assigns large numbers to probable phrases like “big yellow sun,” and smaller numbers to phrases like “big yellow ruby.” This simple operation from category theory gives you something that’s actually linguistically meaningful — a way of combining words to build up a more general concept, like the concept of things that are both big and yellow.
So now we have a "both/and" category as the basis of meaning but what is the meaning of the category that is beyond all categories? That was the paradox that Russell encountered in Set theory!!
Eddie Oshins solved this problem as "quantum psychology" in terms of noncommutativity. His work stayed at the Stanford Linear Accelerator Center and thus he is not recognized since he then passed on early.
Today Roger Penrose is the most prominent proponent of nonlocal "protoconsciousness" but Penrose wrongly defines it as a subset of relativity whereas the "active information" of the de Broglie-Bohm model correctly realizes nonlocality as a process before spacetime existing.
And so "frequency" is no longer defined as a spatial category of units that already exist as matter in spacetime - despite classical physics defining frequency in this manner, assuming a symmetric unit of spacetime from mathematical magnitude.
It's now a proven historical fact that mathematical magnitude as defined in Western science first arose from the wrong music theory that covered up noncommutativity! I even discussed this with Noam Chomsky who agreed with me that music is considered a likely or probable origin of language - the "musilanguage" model and Chomsky then stated he wished he had time to study noncommutativity.
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