djphilly,
Alright. Is there alot of bounce in the floor, or does it feel solid. If the floor seems solid and there are no cracks in the ceiling below the to may have been that the joistd where no installed crown up and/or where very green when installed. Is the ceiling below noticably sagging in spots? If you can live with the ceiling below staying the way it is then maybe you should go back to your original question of pouring a new level floor. You would be replacing your floor coverings on the second floor but there would be no mess on the first and no support posts. A product like STAUF FLC-500 leveling compound could be used. It will fill sags up to 5/8" without any additional materials. It is self leveling and does not off gas. For your 1/2" sag this could be just the answer. Do a Google search on floor leveling compound and check out
http://www.stauf.de/a/flc-500.htm , they have an office in Tennessee. Be sure to enquire about the off-gassing , weight and flexibility of any other probucts you look at.
Good luck, Jim
'Just a handyman trying to help'