Have you tried 1) restarting the computer, 2) deleting Aperture and re-install?
The number of times I have solved a problem with OS X by deleting a program is zero. It may be necessary, but it is should be way down the list of trouble-shooting steps.
Moreover, Mavericks makes is extra-hard to fully delete a program. It is no longer as easy as simply deleting the .app file from the Applications folder.
Re-install? Only when other trouble-shooting indicates this as a possible solution.