AI isn't a branch of pure mathematics; it's an empirical science.

Educational psychology is an empirical science that provides descriptive theories of how people learn.

In short, it lacks the characteristics on which empirical science is based.

With that said, Aristotle brings us somewhat closer an empirical science than his predecessors.

It had logic and mathematics, the rudiments of an empirical science.

You may reject that, but such a rejection is based on a misunderstanding of empirical science.

In the tradition of empirical science, he uses his body and personality as a field for experimentation.

Can there be an empirical science of volitional action?

He was among the first to bring empirical science to bear on naval architecture.

It's a fascinating and profoundly comforting idea, but it lies on the far side of empirical science.