Not sure what's so controversial, it's well known that LLMs can trivially be viewed as operating in higher dimensional space: https://gcptips.medium.com/a-geom

Not sure what's so controversial, it's well known that LLMs can trivially be viewed as operating in higher dimensional space: https://gcptips.medium.com/a-geometric-perspective-on-large-language-models-23ec7e91c764 https://gcptips.medium.com/a-geometric-perspective-on-large-... As for generalizing to algorithms, LLMs don't yet do this as well as humans, but they do do it: https://arxiv.org/abs/2309.02390 https://arxiv.org/abs/2309.02390 Finally, there's no intrinsic reason why an AI that can reliably solve deductive problems like ARC would be limited to two dimensions.