Earlier quoted context omitted.
We are still inferring a best fit based on available data, so “statistical modelling” is way more descriptive of what we are doing the “intelligence”. That doesn’t mean it isn’t impressive. These non-classical statistical inference are going beyond what we have been able to do with classic statistics, it is indeed impressive. Personally I only grow skeptical when claims are made about some vague Artificial General In…
Given that NN components are demonstrated to have universal computation properties, it is more like deriving a program from training data. Technically a program here is a 'curve' but it's insanely complex one. Do you consider programming math? Since technically you write a function which deals with 0s and 1s.
I do think it is interesting philosophically how much powerful machine learning algorithms are over the traditional linear models. And perhaps it is a good description to say that “best fit program” is inferred. However these algorithms are still limited to inference. And—while useful—calling it intelligent is not very accurate—at least in the way most people use the word—no matter how complected of a construct they are inferring.