Empirically we observe that an LLM trained purely to predict a next token can do things like solve complex logic puzzles that it has never seen before. Skeptics claim that actually the network has seen at least analogous puzzles before and all it is doing is translating between them. However the novelty of what can be solved is very surprising.
Intuitively it makes sense that at some level, that intelligence itself becomes a compression algorithm. For example, you can learn separately how to solve every puzzle ever presented to mankind, but that would take a lot of space. At some point it's more efficient to just learn "intelligence" itself and then apply that to the problem of predicting the next token. Once you do that you can stop trying to store an infinite database of parallel heuristics and just focus the parameter space on learning "common heuristics" that apply broadly across the problem space, and then apply that to every problem.
The question is, at what parameter count and volume of training data does the situation flip to favoring "learning intelligence" rather than storing redundant domain specialised heuristics? And is it really happening? I would have thought just looking at the activation patterns could tell you a lot, because if common activations happen for entirely different problem spaces then you can argue that the network has to be learning common abstractions. If not, maybe it's just doing really large scale redundant storage of heurstics.