I do the readings. I suspect I understand them; at least I understand parts or sentences of them. I make notes in the margins, and some of my notes have question marks at the end. Surely this must indicate that I have thoughts or questions about the subject matter? Even beyond my notes, just by virtue of my combined experiences in my twenty-four years, I must have some kind of perspective to contribute to the discussion. In the obituary of John Stallings, Barry Mazur explained the virtue of Stallings’ proof despite the fact that it was less complete than Smale’s (fewer dimensions are more complete, correct?) by noting, “Different proofs bring out different aspects of a problem.” I suspect it is the same way with different people in a class discussion such as ours.