Joseph and Oliver Cowdery were told to re-ordain each other to the priesthood after being baptized. This was to follow proper rules of being a member before receiving the priesthood, but in their case they couldn't become members until having the priesthood to baptize each other.
It just reminds me of kids passing cooties to each other. "That's your priesthood!" "No, it's yours!" "Hey, no touch-backs!" It's also a sticky chicken-or-the-egg conundrum. They can't receive the priesthood without being baptized, but they can't be baptized without the priesthood. So they ordain each other, baptize each other, and then re-ordain each other, and then it's all good! God is so mysterious!
Anyway, for any of you locals who want to come hear my speak, it's this Tuesday, February 2, 2010 at noon, Peace Garden room of the Memorial Union on the campus of North Dakota State University. Shoot me an email if you need directions.