I have the same problem, but after re-install InDesign keep quiting. Please, there's another solution? (see the video)
Thanx a lot!
Branched to a new thread, becasue almost every problem is different.
Please try trashing your preferences, and also creating a new user account and testing from there.
From the brief part of your crash report visible in the video, it looks like a problem with the Linguistics components, so maybe a broken dictinoary or something.
Generally you should upload the crash report to http://pastebin.com/ and post a link here. Though in this case, I'm not sure that will add much.