What he really meant by non-reductionist science, was that as a "non-reductionist scientist", one is allowed to throw up one's hands, and say that there is no explanation for something.

beat

No. Good scientists say that there are no current explanations all the time. The non-reductionist claims to know that there can't ever be an explanation. That's the opposite of throwing up your hands and saying you don't have an explanation. That's a claim to know that all possible explanations will fail.

You tried to make a contradiction, but you ended up saying exactly the same thing. "There is no explanation," means no explanation exists, which is the nonsense position that Phil attacked three years ago. "We don't have an explanation yet," is entirely sensible, of course, which is why that position has never been attacked by anyone, ever.