My mind can sometimes wander when listening to something, especially in this distracting multimedia age, so perhaps I didn't focus just quite enough during this particular lecture (see blog entry title), which is on the subject of certainty. Peikoff does realize that his live audience for this lecture might be varying states of intellectual preparedness as well as attentiveness for each particular lecture, depending on their individual contexts. For some, the content might be very redundant; I think it was in my case, because I heard a lot of stating and restating of the obvious. Referring to an earlier lecture (No. 3, on thinking in essentials) from this course, I think the essence of this lecture can be boiled down to the following: Certainty does not require omniscience. So, can I be certain that this is what the lecture could be boiled down to, essentially? I'll leave that as an exercise for the reader.
(One thing I am certain of: You can't refute perfectivism. ;-) )