Yes, the author is describing the problem of induction. There are two major works of Hume that take on the subject, but the most recent popular work I've read is the black swan by nassim taleb.
I'm on my phone now, but I could give a short summery of the problem, and how I think it is intractable if people are interested.
http://en.m.wikipedia.org/wiki/David_Hume#Causation