Im having issues adding the error log, here is the first bit of it though.....
Process: Adobe InDesign CS6 
Path: /Applications/Adobe InDesign CS6/Adobe InDesign CS6.app/Contents/MacOS/Adobe InDesign CS6
Version: 18.104.22.1680 (8000)
Code Type: X86 (Native)
Parent Process: launchd 
Date/Time: 2014-09-11 09:05:19.273 +0100
OS Version: Mac OS X 10.7.5 (11G63b)
Report Version: 9
Interval Since Last Report: 188705 sec
Crashes Since Last Report: 18
Per-App Interval Since Last Report: 186329 sec
Per-App Crashes Since Last Report: 14
Anonymous UUID: A7B9940A-3665-4D31-AF1D-3BFD1BF3E45B
Crashed Thread: 0 Dispatch queue: com.apple.main-thread
Exception Type: EXC_BAD_ACCESS (SIGBUS)
Exception Codes: KERN_PROTECTION_FAILURE at 0x0000000000000006
<Moving to Indesign Forum>
You need to start by installing the InDesign 8.0.2 patch...
It had been updated to the latest version on CS6 several times (after each re-install).
The only way i could get the problem to stop was to re-install Creative Suite under a new user account on the Mac, not the most ideal way to get it working again but at least i dont need to worry if the user shuts down their machine.
Your crash report indicates it had not been updated...
If you are having trouble with a reinstall on the original account, uninstall again and run the cleaner tool (CS Cleaner Tool for installation problems | CCM, CS6, CS5.5, CS5, CS4, CS3) before you reinstall.
Sorry, i should have been clearer.
I mean't with previous installs it had been updated to the latest version and it still had the same issue (that log was taken from a fresh install that crashed straight away).
Thank you for the link to the cleaner tool. I will download that for future use.