> Language can exist entirely independently from senses and cognition.
Maybe? Are you just outlining the thesis, or saying this should be self-evident?
> It is an encoding of patterns in the world where the only thing that matters is if anybody or anything wielding it can map the encodings to and from the patterns they encode for (which is more of a sociological/synchronisation challenge).
Yes, and my point is, current genAI utterly fails in unpredictable / bizarre ways because it only mimics the abstract encodings, ignorant of patterns in the world. Obviously some people argue "next token prediction is all you need," but that's a claim that is far from self-evident.
> There are many parts of non-programming languages that similarly have nothing to do with embodiment. Some of them are even about incredibly abstract things impossible in our universe. One could argue that for many fields genius lies in being able to mentally model what is so foreign to the intuition our embodiment has imbued us with or to be able to find a mapping to facilitate that intuition.
I would say this misses the point. The meaningfulness of abstractions, even ones that are unintuitive or unphysical or illogical, come from our embodied experience. Our enjoyment of even the most absurd fiction comes from our ability to simultaneously comprehend what it is "about" and what is "possible." Both relate to experience-of-reality and mean nothing in a vacuum.
> Said otherwise: the experience our embodiment has given us might limit how well we can understand the world (Quantum Mechanics anyone?).
I agree that we are limited in some ways by our particular embodiment. e.g. There's a huge spectrum of sensory experiences - colors, sounds, smells ... - which we know other animals have that we do not.
As I understand, where we disagree is on the why. I would say our capacity for understanding comes from our embodiment, therefore it's only natural that the limits of our embodiment also limit our understanding. After all we could imagine that if we had direct sensory experience of quantum effects, we would understand QM better or at least easier. In some fuzzy way, (no embodiment => poor understanding) and (embodiment => better understanding) is evidence for (embodiment understanding). I suppose your argument is a counterfactual that we might be able to imagine a (no embodiment & some understanding) so (no embodiment =/> poor understanding), but I don't see the evidence that this is not just imaginable but actually possible in reality.