Go to the Utilities » Adobe folder and uninstall Indesign. Once that is done, close and open the Creative Cloud app and download and reinstall Indesign. It should work now.
If you are still having issues, try the Adobe cleaner: http://helpx.adobe.com/creative-suite/kb/cs5-cleaner-tool-installation-problems.html
Thank you for your quick reply.
When I go to the Adobe Utilities folder, it only has one folder in it titled Adobe Updated 6. I can't find any utilities folder with an uninstall InDesign file.