Well, if it's not writing errors to the disk, you could set the "$showerror = 0;" line in /libs/mysql.inc.php to "$showerror = 1;" and it'll just dump the error to the user's browser... But again, at times, it's possible that it could contain data that you otherwise wouldn't want people to see.
Thanks Gizmo, but I'm a little hesitant to open things up that way.
Does anyone know the answers to math's questions above?