Non-destructive reinstall of OS X?
Is it possible to do a non-destructive reinstallation of OS X using the "Install Mac OS X" function on my recovery partition?
If not, how can I do a non-destructive reinstallation to repair a corrupted OS X installation? Somehow my installation got screwed up, and as (bad) luck would have it, my trusty, automated Time Machine backup chose to go haywire around the same time. Thus, I'm left with a non-booting OS X installation that I strongly suspect is just a couple of fried system files away from perfect health, and no way to resore from my backups. By the way, my OS X 10.8, MacBook Pro 13" 2009's boot drive is under FileVault 2 encryption.
Any ideas?
MacBook Pro, OS X Mountain Lion (10.8.2)