I think you missed the point. He's saying we won't the goals of AI because: "it’s a moving target"

For example: "In the seventies, someone might ask “what are the goals of AI?” And you might say, “Oh, we want a computer who can beat a chess master, or who can understand actual language speech, or who can search a whole database very quickly.” We do all that now, like face recognition. All these things that we thought were AI, we can do them."

This is very true.

I'm beginning to suspect Turing consciously captured the moving target definition when he conceived of his famous test.

The Turing Test is a fixed target though.

As far as I know there are no limits on how intelligent something will get. Exploring the limits of AI is like trying to find the biggest possible number.

That's true, but nowadays it's a little more like, "Well, we want a self-improving program with enough intelligence and moral fiber to radically improve human life on a scale not usually conceived of outside the Book of Isaiah."

This may be absurdly ambitious, to the point of ridicule, but it's a concretely-defined target.