I assume that "explain it to a computer" means "represent the theory as a computer program."
Yes, that is how I took it. In simple terms for the simple, it seems to claim science is quantifiable.
Further, there are multiple connotations of "art". There is the art that searches for beauty and meaning as Chesterton used the term. But in the quote I think it refers to a talent for doing things that are not easily taught or explained. Engineers (my profession) often use the term "art" in such a way.
As I said in the OP, I take the statement as poetic, and it seems there are many who have trouble grasping poetic statements; they instead try to parse it as if language is always a computer algorithm - which it is not.
Another (disputed) quote in the paper was from Whitehead:
The ultimate goal of mathematics is to eliminate any need for intelligent thought.
The paper I refer to is called "A=B", and it is about "proof machines", which are algorithms for the symbolic solution of equations. The point of these statements in the context of the paper is that proofs used to be considered an art - there was rarely a known algorithm for proving mathematical propositions. As time goes on, however, more and more propositions are being proven as undecidable, or a proof machine is found for them.
My opinion, though, is that every time something is established as undecidable, or a proof machine is found, it simply opens up new unknown possibilities. It seems to be a Godelian sort of thing. If, for example, someone were to actually settle the question of
P = NP, I would be surprised.