Neither CS4 Indesign nor the trial of CS6 Indesign will start on brand new MacBook air 11" with Mountain Lion 10.8. Begins starting and then says "unexpectedly quit" Same problem on both versions. Apparently none of the CS products work with Mountain Lion. Kind of hard to buy a product when even the trial version doesn't even work. Is there a fix?
Moving this discussion to the InDesign forum. InDesign CS6 does work in 10.8. I have it working on two different Mac's here. The users in this forum should be able to give some good suggestions for troubleshooting InDesign. You may want to begin by looking at disabling any third party fonts you have installed.
Also if you transferred the applications over via the Migration assistant please remove the software and install from the installation files.
Do you have crash reports?
As Jeff says. First things first…how was the software installed?