Well, let's break it down!
Empirico: This sounds like a period to me, perhaps pertaining to the Roman or British Empires?
Transcendental: Obviously, this infers that the art is intended to convey ideas that transcend mortal or worldly thoughts.
Analytical: In my opinion, this sounds like the purpose the artwork; analyzing such works in order understand the greater workings of the Universe, namely God.
I'm probably way off, as I don't recall ever having taken an art history class, nor did I look up any of these words. Just pulling stuff out my ass, as it sounds like that's pretty much all these "art critics" do.
Ha, right on. When I checked the date of all the articles, they were mostly written in the 60's and 70's. Big surprise.
I have to disagree with what you think "Empirico," means though. I think he meant "empirical" like "empirical evidence."
In the context, I think the critic was saying something about not being able to use history as a reference for analyzing a piece of artwork, like you have to approach every work fresh, assuming nothing. Being in tune with your most basic reactions and most raw creativity. That kind of thing. Makes me want to go to a gallery.
You call that a painting? That's not a painting. Now THIS is a painting:

And so is this:

Those petals are AMAZING.