I was having a problem where Indesign would crash as soon as it reached the splash screen. After an hour or two of trying different things to get it working I finally discovered the problem. If you have the new version of Adobe Edge Inspect running in the background while InDesign is launching, it makes it crash. If you quit Edge Inspect from the menu bar, and then relaunch it should run fine.
Hopefully this helps anybody that was having the same problem as me!