Will There Be Artificial General Intelligence?

There will be artificial general intelligence in the sense that there are very sophisticated learning agorithms that can ar generalize. But i don't see any reason, from these amazing enhancements of the complexity of these s to think that the system would move from not having subjective awareness to having it. We know lots of things about the set of integes as an infinite number ofinteges, and we can prove theorems by, for example, by mathematical induction, that apply to every one of them. But all physical causal interactions seem to be finite. How then, can an a i physical system ever get to the point where it can truly be said to understand or know things about these