Thanks for the context, Taka. I think the following version might clear up the conceptual problem I have with the sentence (even in its context).
Today, everything is supposed to be known--if not to us then to the aggregate of all the specialists whose business it is to know what we ourselves do not know.
I do sympathize with the author's lament. The idea that whatever I don't personally know will be known by one or another specialist discredits the existence of unknowable things, and even more absurd, dismisses the idea that things unknowable today might be knowable tomorrow.
I find the author's thesis here a bit over-stated, though. I wonder on what basis this view of today's world is hypothesized.