Finalize is the same as Verify.
Well then, I have a different problem. The dvd+r disc I burned on to did go through a verify cycle. It took a long time, so I walked away, and when I came back, it appeared that the disc was finished. (The verify %complete bar was gone, and I did expect some sort of message stating that the job was complete, but nothing, so I ejected the disc.) I put it in my several-year old Toshiba dvd player, and disc error came up, which is not surprising because I've come across homemade dvd's that didn't work. I put it back into the iMac, and it just seemed to stall (I think it did open iDVD, but I'm not exactly sure).
Anyway, I bought some dvd+r disc to try again. Why dvd+r? I don't know. Perhaps I should've gotten dvd-r instead? (But, from what I've read around in here, both should burn and play in my iMac just fine, right?)
Suggestions? Thank you.