So, try these:
1. Press Alt when opening Unity. This starts the project wizard. Create a new project. Does Unity crash when you create a script in this new project?
2. Go to Spotlight (the magnifying glass, top right) and type Console. This will find the console application which records application errors. It might help you find things that Unity is doing.
3. Read the docs. [This][1] page tells you where the Editor.log file is stored.
[1]: http://docs.unity3d.com/Manual/LogFiles.html
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